diff --git "a/data/dm_maths/full_data_1/2176_11255.jsonl" "b/data/dm_maths/full_data_1/2176_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2176_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let r = 0.067 - 3.967. What is r rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -7 - 2. Let z(b) = -11*b**2 - b - 1. Let a be z(m). Let r = -723\/7 - a. What is the closest to 1\/3 in -0.4, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d + d - 2*d)*(4 - 3 + 1) + 55*d + 32*d + 1 + 23*d to the form i + u*d and give u.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/6 - 203*g\/3 + 136.\nAnswer: -(g - 2)*(g + 408)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*u + 4 - 2, 0 = -u - 4*l + 8. Suppose u*k = -5*k + 15. Suppose -k*p - 30 + 123 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and -18.0723.\nAnswer: -180.723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/29386 (b) 2 (c) 2\/261 (d) -4 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162 and 16927464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 6:58 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u + 5. Let v be 12 + (4\/20 - (-1)\/(-5)). Let s be (-40)\/v*(-6)\/(-4). Let r(j) = -7*j - 6. What is s*q(p) - 4*r(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a week in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -841626, -1683253, -2524880, -3366507, -4208134?\nAnswer: -5049761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -1625*u**3 - 175*u - 175. Let l(h) = 28*h**3 + 3*h + 3. Calculate 6*k(z) + 350*l(z).\nAnswer: 50*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/76*(-2)\/(-18))\/((-4)\/(-24))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -109, -2272, -18 in ascending order.\nAnswer: -2272, -109, -18, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*v + 7802 - 7818 = 0, 313*n + 1575 = -5*v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 + -61. Let i = -150.19 - 0.21. Let w = i - l. Round w to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(5\/((-5)\/2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.17 and -7762.908.\nAnswer: 1319.69436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = -2*a + 4*p, -4*a - 3*p - 27 = 0. Find the common denominator of (-7 - -65)*a\/(-56) and -37\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1332*l**6 + 3*l**2 - 57*l wrt l?\nAnswer: 159840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4289078075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2117 and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 74*r**2 - 3*r + 1. Let z be s(1). Let g(b) = z - 135 + 68 + 49*b. Is g(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -140, -147, -164, -197, -252, -335?\n\"Answer: -i**3 + i**2 - 3*i - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -374, -5, 22 in increasing order.\nAnswer: -374, -5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -53*x**4\/12 + 48*x**2 - 42*x. What is the first derivative of h(r) wrt r?\nAnswer: -106*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -19*g**2. Let a(f) = -3*f. Let c(b) = 124*b - 2. Let v(p) = -5*a(p) - c(p). Determine v(w(k)).\nAnswer: 2071*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18a95 - 10?\nAnswer: 18a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -40567\/9 (b) -0.2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from admtmssassldlaaas. What is prob of picking 2 s and 2 d?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/161240316 and -31\/5?\nAnswer: 806201580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110010101101100010101 (base 2) to base 15.\nAnswer: -22c562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 19, -9, -61, -143?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3129, 12530, 28215, 50196, 78485, 113094, 154035, 201320?\nAnswer: 254961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/(-165))\/((-76)\/20).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 3*u + 4. What is the smallest common multiple of v(3) and 26?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4953 and 169545.\nAnswer: 2204085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 34*p**2 + 11*p - 6. What is the tens digit of i(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 8, 1\/4, 20, -3, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 120792500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 4*a + 3*a)*(3 + 3 - 4)*(0 - 3 + 2 + (-1 - 2 + 1)*(-3 + 3 + 2) + 0 + 2 - 1 + 0 - 3 + 2 + (1 - 3 + 3)*(1 - 4 + 1) - 2 + 1 + 7).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 156 + 123 + -287 + (-1 - (1 - -8))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-8))\/(169\/(-272035244)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4*t = -7, -4*g - 9*t = -4*t - 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -11255, -11 in increasing order.\nAnswer: -11255, -11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 536*n - 534*n - 5*h, 5 = -2*n + h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 5162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 18 + -19)*(-1361)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5969 (base 11) in base 16?\nAnswer: 1e8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 10*k - 4. Let r be l(5). Let x(w) = -r + 40 + 135*w + 40*w. Is x(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83\/28 + -13\/4. Let g be (-6)\/(-5) + (-3012)\/2510. What is the fourth smallest value in -1, -1\/3, g, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**5\/60 + a**4\/8 - 4*a**3\/3 - 3*a**2. What is the tens digit of t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1150, 4556, 10224, 18148, 28322?\nAnswer: 40740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 84834 divided by 28278?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -27*r - 3758. What is k(-122)?\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -290*q - 3630 + 1600 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**5 + 62362*w**4 - 1184601*w**3 + 5236812*w**2 = 0?\nAnswer: 0, 7, 12, 62343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 69*s - 65*s + 6, y + 4*s = -11. Let x(b) = 17*b**2 + b - 11. Let g(l) = 11*l**2 + l - 7. Give y*x(z) - 8*g(z).\nAnswer: -3*z**2 - 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.924951ml to litres.\nAnswer: 0.008924951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134316524 - 15*a**3 + 134316524.\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87.5 + -289. Let p = -302 - j. What is p rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 14*n - 24. Let p be z(-6). Let w(v) = 6*v - v**3 - 25*v**2 - p*v**2 + 44*v**2 + 6. What is w(-5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62218*x**4 - 2*x + 64358.\nAnswer: -746616*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**5\/20 - c**4\/12 + c**3\/6 + 10*c**2 + 3*c. What are the prime factors of g(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/217 (b) 2 (c) -2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**10\/6048 - p**9\/756 - 5*p**8\/1344 - p**7\/252 - 3*p**4\/2 + p - 1. Let l(r) be the third derivative of q(r). Factor l(b).\nAnswer: -5*b**2*(b + 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1197*q**4 + 14*q + 40?\nAnswer: 14364*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -38, -54, -74?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 75\/(-6)*(32\/(-20))\/(-2). Is k\/(-25) + (-208)\/(-5) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by -3.\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 2. Let v(z) = -2*z**5 - 2*z**2 - 3*z - 3. Let w(t) = -t + 0 - 1 + 0 + 0. Let b(d) = x*w(d) + v(d). Find the third derivative of b(g) wrt g.\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 54*i - 62. What is the units digit of k(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 0*g**4 + 0*g**5 + 0*g + 21 + 0*g**6 - 23\/7*g**7 + 1\/2*g**2 - 25\/3*g**3. Find the third derivative of w(u) wrt u.\nAnswer: -2760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwlwlwfnlnnlwwllnnpl. What is prob of sequence lpww?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.21 - 415658.\nAnswer: -415658.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = -j + 1820. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 74*q - 75*q + 30. Let y be ((-11)\/(-3))\/(10\/q). Solve -2*r + 0*n - 18 = -3*n, n + y = -5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = 4. Suppose -i*v + 12 = 3. Let m be 1\/2 - (-4)\/(-8). Solve -12 = -m*w - v*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/48 and -65\/2517?\nAnswer: 40272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 100 + (37 + -1)\/(-9). What is the highest common factor of x and 360?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.52 - 1.12. Let i be (0 + 1\/3)*3. What is the closest to i in -5, h, -0.19?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -31.2. Let i = -2.186 + a. Let b = i - -0.007. Round b to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0138 + 79.2138. Let n = y - 79.199997086. What is n rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1264 by 3.\nAnswer: 1264\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/10*2*(-3)\/24?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*u + 1633 + 20 = -71 - 103 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 434 divided by 6.\nAnswer: 217\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -55, -64, -63?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/24 and 79\/104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 3*d**2 + 6*d - 4. Let n = 4 - 10. Let v be m(n). Suppose 2*z - 10 = v. Calculate the greatest common factor of 13 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344487 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**8\/1176 + 4*m**7\/735 + m**6\/140 - 2*m**5\/105 - m**4\/21 + 165*m**2. Let u(q) = 0. What is q?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q. Let f(r) be the second derivative of -7*r**5\/120 - r**3\/3 + 2*r. Let c(p) be the second derivative of f(p). What is c(x(g))?\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 - -1.1. Let n = -1636878\/35 - -46771. Let v = 20\/7 - n. Which is the biggest value? (a) -0.1 (b) v (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25141 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 116.799 + 0.201. Let r = x - 171. Let a = 54.2 + r. Sort 0.7, a, 2\/9, 2 in descending order.\nAnswer: 2, 0.7, 2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20121100121211 (base 3) to base 12\nAnswer: 1213711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323385 is divided by 161229.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -u - 4, -2*w + 6*w - 3*u = 17. Let y(d) = -d**2 - 3*d - 1. Let l be y(-2). Let r be (l\/6)\/(1\/5). Put -4\/5, r, w in ascending order.\nAnswer: -4\/5, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2359 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4 + 0 + 5*d - 3. Does 14 divide s(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2699835ug to grams.\nAnswer: 0.0000002699835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2105143.\nAnswer: 19, 101, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5992 and 525.\nAnswer: 449400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72*j**2 - 292*j**2 + 189*j**3 - 236*j**3 wrt j?\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3820637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1209, 1300, 1447, 1650, 1909, 2224?\nAnswer: 2595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19, 52, 169, 332, 541, 796, 1097?\n\"Answer: 23*t**2 + 2*t - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-115)\/(-138) + 10\/(-12). Suppose -4*k + 22939 = m - t*k, -m = -5*k - 22921. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -119717192.9 + -2254.\nAnswer: -119719446.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 2950\/436749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5 times 125190?\nAnswer: 688545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**3\/12 - o\/4 - 4. Factor i(m).\nAnswer: (m - 1)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 11100110000010?\nAnswer: 11100110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wukxvwpkuvkwvu. Give prob of picking 1 k and 1 w.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 135 = -2*q, -g + 211 = 3*q - 0*q. Let b = q + -22. Calculate the remainder when (74\/40 - (-1353)\/9020) + 237 is divided by b.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from {d: 2, e: 2, r: 2, n: 1, z: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and 7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 2:42 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mftctkt. Give prob of picking 3 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 189 = 69. Suppose -g = 6*r - r. Let k = -4 - r. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -211779, -423541, -635269, -846957, -1058599?\n\"Answer: k**3 + 11*k**2 - 211802*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -4*c - 68, -633*c + 630*c = -2*d + 40 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -287 + 297. Suppose i*y = 201 + 229. What are the prime factors of y?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -347 + 759. Suppose -o + 0*o = -s. Let l = -271 + o. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.280598956 + 0.2806. Round o to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-315)\/(-14))\/(-9))\/(-5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -8. Suppose 2*k - 1023 = -w*x - 2*k, -k = -2*x + 404. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-8 + 9) - 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9489.933km?\nAnswer: 948993300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(2*-1))\/((-11625)\/224750)\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -305 less than or equal to -148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 17 + k**2 - 12*k**2 - 4*k**2 + k**2. Suppose -3 - 3 = 3*g. Let u be (-2)\/(g\/11) + 0. Let w(c) = 5*c**2 - 6. Give u*w(f) + 4*i(f).\nAnswer: -f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hki when three letters picked without replacement from {k: 3, p: 1, h: 1, u: 1, i: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2. Let t = -11 + 17. Let w(u) = 2*u - 3*u**2 - t*u + 4*u. What is w(m(x))?\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 4*s - 716. Give k(-10).\nAnswer: -656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 69800 = -3*g, 3*l + 57283 = 4*g - 152117. Round l to the nearest one thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -202*k**3 - 40*k**2 + 6 wrt k.\nAnswer: -1212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, 1\/2, 1.7, -6, 18, 13 in increasing order.\nAnswer: -7, -6, 1\/2, 1, 1.7, 13, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 302475690 divided by 1833186.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, q: 7, d: 5}. What is prob of picking 1 q, 1 i, and 2 d?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39463.11 + -39482.51201. Let d = 73 - 92.4. Let k = x - d. What is k rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkkgkkggkkkgkk. Give prob of picking 4 g.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119 - -126. Factor 12*m - d*m + 1 + 5*m**2 - 3 - 3 - 5*m**3.\nAnswer: -5*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1492 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o + 82 + 93 - 166.\nAnswer: -4*o + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 44?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - ((4 + -1 - (22 - 29)) + -19)) + -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (-27 - -4) + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 7*j = 2*j + 52, 3*p = -2*j + 67. Suppose -4*u + p = 1. Suppose 88 = u*h - 97. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4112 divided by -257\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 10*h**2 + 8*h - 6. Let q be z(-9). Suppose -5*c + 4*g + 18 = 0, -q*c = 4*g - 5*g - 15. What is the remainder when 16 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -20*s - 4*s**3 - 7*s**2 + 60*s - 33*s. Let l(r) = -4*r**3 - 6*r**2 + 6*r. Calculate -6*i(u) + 7*l(u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/(-19)*2\/(-14).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -3249615\nAnswer: -974884.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 - 1)*(1 - 1 + 2) + 2 - 2 + 1 + 15 + 1 - 2)*(0*n**2 - n**2 + 2*n**2).\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-252)*9*3\/2.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 > 849\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 544226*o**3 - 544145*o**3 + 2*o**2 + 1088378*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 419383361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 167 in 0, 0.3, -1.1, 0.04?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 1. Suppose -4*d - f*o + 220 = 0, -4 = -5*o - 24. Calculate the remainder when d is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 70*h**2 + 1205*h - 325. Calculate c(-26).\nAnswer: -1911","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 182 = 202. Suppose b = 4*u + 11 + 14, -15 = -2*b + u. Suppose -n = b*f + 159. What is f rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/54)\/(31\/(-1209))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.58316263 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -931\/2034 + 3\/226. Suppose 2*f - 5*f = -4*h - 20, -h = -5*f + 5. Is f <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyzoyyeyoeyczzyzx. Give prob of sequence ce.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(30\/3055) + -4. Suppose 41*l - 3247 = z. Suppose -5*a + 34 + 46 = 0. Calculate the remainder when l is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -110 + 9*m**2 + 80 - 7*m**4 - 3*m**2. Let t(j) = j**4 + j**2 - 1. Let p(q) = -l(q) + 6*t(q). Differentiate p(d) with respect to d.\nAnswer: 52*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 616586618 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 297*c**2 - 2 - 581*c**2 + 300*c**2.\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 116*a + 5 + 113*a - 2.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-10 - (-10 + -1 + -4))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6245 + -6237. Calculate the highest common divisor of m and 722.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20721254 - -0.14?\nAnswer: -20721253.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54 - -15101664?\nAnswer: 15102051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -d - d + 62, -d + 3*t + 11 = 0. Let a(x) = -3*x**3 - 4*x**2 - x + 2. Calculate the remainder when d is divided by a(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 1571 - 1085 = 0. Suppose 14*s + 825 = 5*m + 9*s, 4*m - 5*s - i = 0. What is the remainder when m is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88385584 divided by 11048198?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 29 + 0 - ((25 - (-21 - -29)) + -9)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1473521 and 27752.\nAnswer: 1501273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24527, 28088, 31649, 35210, 38771, 42332?\nAnswer: 45893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 4:25 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 21 - w**3 + 0*w**3 + w**3 - w**3. Let i be x(0). Solve -3*f = 2*y + i, 2*f - 1 = -3*y - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3648852 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 5*f = 3*s - 64 + 109 - 25, 10*s = -0*f - 4*f + 164 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 603841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j + 50. Let i be x(12). Solve 45 = i*h + 41 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k**14)))\/k**(-1))**(-25) assuming k is positive.\nAnswer: k**(-400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 612*a - 612*a + 5*a**2 - 4.\nAnswer: 5*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2248*x**2 - 1120*x**2 - 1120*x**2.\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.6304 rounded to 1 decimal place?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128 - 96. Let f = 42 - q. Solve 2*h = -0 + 6, f = a + 3*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1190832.4 - -1190794.399977. Let l = 38 + h. Round l to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 37990 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 6:47 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 721853.8ms in microseconds?\nAnswer: 721853800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 31 (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 12613 = 117103. What is the remainder when r is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 1722634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x. Let u(y) = -99*y + 3. Let z(p) = -496*p + 16. Let q(a) = -16*u(a) + 3*z(a). What is q(o(k))?\nAnswer: 192*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -926*w + 916*w = 460. Let y(m) = 9*m - 1. Let l be y(-5). Are l and w unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74802 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**6 + 1024043*k**4 - 16118177*k**2 wrt k.\nAnswer: -120*k**3 + 24577032*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 - -2.94. Let v = n + 1. Let q = v - 3. What is the closest to 0 in -0.1, 3, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f - 4. Let o be z(3). Let x = -273 - -278. Suppose 2*b - 28 = -2*j, x*j - 20 = -0*j. Solve o*w - 3*s - 3 = 0, -3*w - 5*s + 39 - b = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 515\/43961 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**2. Let i(h) = -3*h. Let u(n) = -7*n. Let b(z) = 5*i(z) - 2*u(z). Give w(b(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3000\/21 + 15\/105.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4253*-790.7\nAnswer: 3362847.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83441982.\nAnswer: 2, 3, 13, 163, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 955987771.\nAnswer: 25037, 38183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/4 + 183*s\/4 + 11439\/2.\nAnswer: -3*(s - 123)*(s + 62)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 275*m**2 + 19*m + 3. Let z(t) = -274*t**2 - 20*t - 1. Let x(h) = -4*s(h) - 5*z(h). Is x(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29777.\nAnswer: 11, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i**(-1)*i)\/i)*i)\/i**2)**15\/((i\/(i*i*i**6\/i*i*i)*i**(1\/2)\/i)\/(i**(-3\/5)\/i*i*i*i**(-3)\/i)) assuming i is positive.\nAnswer: i**(199\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 1. Let x(a) = -2*a**2 + 12*a - 12. Let l(i) = 12*s(i) + x(i). Suppose 205 = 4*y + 165. Let d(h) = 1661 + 20*h + y*h - 1661. Give d(l(k)).\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 - 268 = -p. Solve -p*w + 4*g + 6 = -6, 3 = -4*w - g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1 - 2. Let y = 0.6 + w. Let i = -0.23 + 3.23. What is the third smallest value in y, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33373?\nAnswer: 23, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5*-0.0798.\nAnswer: -0.1197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4732845193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + 20. Let s = -22 + d. What is the lowest common multiple of 2 and 2*(-4 + 34)\/s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 13 = -4*y, r = -3*y - 5 - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1108*b**3 + 48410*b - 128840901.\nAnswer: -3324*b**2 + 48410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - (-3 - (-76)\/(-4)). Let h(g) = -g + 13. Let w be h(q). Let m(l) = l - 4. Let b(n) = 2*n - 8. Let f(x) = w*m(x) + 2*b(x). Give f(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/3 (b) -0.3 (c) 0.1 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-172091)\/34)\/((-99)\/110 + (-4)\/(-10))?\nAnswer: 53, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and 23551.\nAnswer: 259061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 90 + -60. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 + 87. Let r = i - 25. Calculate the smallest common multiple of 3 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3865*j - 1926*j - 1941*j. Let d(f) = 4*f + 368. Give c(d(n)).\nAnswer: -8*n - 736","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -2*z - 5, -4*z - 4*f = -51 + 59 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9219.315 micrometers to millimeters.\nAnswer: 9.219315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, e: 5}. Give prob of sequence vev.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172208065.\nAnswer: 5, 34441613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1743030, -3486041, -5229050, -6972057, -8715062?\n\"Answer: u**2 - 1743014*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102768*z**3 - 8*z**2 + 20*z**2 - 12*z**2 + 108725*z**3.\nAnswer: 5957*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 + 323*r + 6792. Determine p(-79).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.9 + -1.1. Let r = 7 + k. Let z = 441 + -439. Put z, 0.3, r in decreasing order.\nAnswer: r, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 6 = -4*f - 2*m, -3*f - 5*m + 16 = 0. Solve f*h = y + 10, 4*h = 7*h - 3*y - 18 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**2 + 107*d + 8. Let t be q(27). Let b(s) = -1940*s + 329. Is b(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206159636.\nAnswer: 2, 51539909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1776 and 29\/168?\nAnswer: 12432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3752768 by 59.\nAnswer: 3752768\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -532374 divided by -2?\nAnswer: 266187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 278.3681l to millilitres.\nAnswer: 278368.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5859293.\nAnswer: 11, 532663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 110158\/(-3) - 12\/198*11. Is h\/(-70) - 9\/(-21) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*h + 4*h + 14*h**2 - 12*h**2)*(-6*h + 3*h + 3 + 2*h) to n + q*h**3 + d*h + x*h**2 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -17*h - 39. What are the prime factors of o(-13)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 6*h = 3, h - 1801 + 1873 = -4*u - 3*h for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2\/13 - 27645424*g\/13 - 95533683517472\/13 = 0 for g.\nAnswer: -6911356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (116\/1044)\/(2\/(-2)*(-112)\/144)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c + 25 = 9*c. Let r(t) = -39*t - 14. Is 22 a factor of r(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 129*y**2 - 252*y**2 + 2 + 129*y**2. Let x(j) = -7*j**2 + j - 2. Give -4*t(z) - 3*x(z).\nAnswer: -3*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26100*i**4 - 44640*i**2.\nAnswer: -626400*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90157.\nAnswer: 89, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 612, 1517, 4004, 8865, 16892, 28877, 45612?\n\"Answer: 132*t**3 - t**2 - 16*t + 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 171, 451, 923, 1629, 2611, 3911?\nAnswer: 5571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5407*f = 6056*f + 12980 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 301?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 - 5*g - 15. Calculate the remainder when 444 is divided by l(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3223 = -4*a - 4*o, -1309 = -2*a + 5*o. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 2 (c) -3\/5 (d) -2\/5 (e) 25\/4 (f) 0.04 (g) -55\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**3 + 172*f - 168 = 0. What is f?\nAnswer: -7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2414 = -20*g + 59*g + 103*g for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c + 5. Let k(o) = -o + 1. Let y(z) = g(z) - 4*k(z). Let q be y(0). Suppose -n - q = -8. Solve 0 = 3*l - n + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*t + 3*z + 20, 5*z = -t + 10. Let g be ((-60)\/9)\/((-2)\/3) + 0. Solve j - t + g = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/((p*p\/(p*p\/(p\/p**(4\/7)*p)))\/p)*p*p*p*p**6*(p**(-1\/2)*p*p)\/(p\/p**(-4\/17)*p) assuming p is positive.\nAnswer: p**(2341\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3345695403 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18.10897 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4785.1 and 5?\nAnswer: 23925.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ososooooosooioo. What is prob of picking 1 s and 1 o?\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2 + 2 = -2*w, 2*k + 2 = 0. Let z be w\/(-1) + 2\/(1 + -2). Let b(f) = 0*f - 2 + z*f - 1 - 4*f. Give b(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 2*z**6\/15 + z**3 + 3*z. What is the second derivative of f(o) wrt o?\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1.7 (b) 4\/7 (c) 3\/2 (d) -5\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 279\/180 - (-3)\/(-2). Let q(w) be the second derivative of 0*w**4 + 2*w + 0 + 0*w**2 + a*w**5 - 1\/6*w**3. Factor q(f).\nAnswer: f*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -509*x**4 + 28*x + 1?\nAnswer: -6108*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-4 - -7) + -7 + 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -21. Suppose 9*y - 272 + 2 = 0. What is the highest common divisor of y and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 581573, 1164174, 1746775?\n\"Answer: 582601*n - 1028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1938870689831 - -271.\nAnswer: -1938870689560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*l = 2*l + 3, s = -2*l + 7. Let h = 1 - s. Do -4 and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/7966 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40)\/(-6)*((-4)\/(-20) - -1). Calculate the greatest common factor of x and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.566 + -0.006. Let o = 48.8 - 51. Let c = b + o. What is c rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u - 7 + 4 + 3.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26416660747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 303 - 788. Let u be b\/7 - (-6)\/21. Let h = u - -152. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y. Let i(t) = -t**3 - t**2 - 3*t - 2. Let h(s) = f(s) - i(s). Let p(a) = -a**2 + 12*a - 19. Let o be p(9). Suppose 0 = 11*w - 7*w + o. Give h(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/1175 and -34\/3055.\nAnswer: 15275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 21 = -12*a - 6, 3*k - 177*a + 6 = -176*a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*t - 201*t - 345 = 235*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*d = 42*d - 45, 35 = 5*t + 3*d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/16)\/(1\/(-80)). Suppose 15*h - 5*h - z = 0. Solve -q + 19 = 3*q + g, -4*q + 2*g = -h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 122*o**2 - 487*o - 188. Give n(4).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 125624830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - h - 1. Let t(n) = 10*n**2 + 8*n + 8. Let j(y) = 8*l(y) + t(y). Let q(m) be the third derivative of 26*m**5\/15 + 159*m**2. Determine q(j(p)).\nAnswer: 416*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(-9) - 2126\/(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -14*(28\/(-8) - -2) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 (base 11) in base 8?\nAnswer: -235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2290809 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 - 328790*w + 1643948\/5.\nAnswer: 2*(w - 821974)*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -m + 156, 0 = 2*m - 10*t + 127 + 263 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)\/w**(-1\/3))**(-41) assuming w is positive.\nAnswer: w**(82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**3\/2 - 2*i**2 - 3*i. Let p be v(-3). Let j(t) = -t**2 + 6*t - 6. Let z be j(5). Sort -3, p, z in ascending order.\nAnswer: -3, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 12, -4, -2361, 4 in descending order.\nAnswer: 12, 5, 4, -4, -2361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-320)\/165) + 18\/297.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 56\/(-6) + 4\/3. Let f = -7 - o. Solve -2*s = -3*s + f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 121*u - 126*u. Suppose -u*h - 12*h = -320. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 42 = -17. Let v = 2229 - 2231. Put o, 0, -9, v in decreasing order.\nAnswer: o, 0, v, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18.483 times -1142\nAnswer: 21107.586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/2 + 0\/(-49). Which is the closest to -0.3? (a) 5 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-880)\/4928)\/(1\/12)\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*t**3 - 9*t**4 - 207*t + 132*t + 4*t**3 wrt t.\nAnswer: -108*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 2:21 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.705, 4\/7, -0.3, 2 in descending order.\nAnswer: 2, 4\/7, -0.3, -1.705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, g: 1, a: 5, s: 1, c: 3, w: 2}. Give prob of picking 2 w, 1 r, and 1 s.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.9521658 tonnes?\nAnswer: 952165800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.035 + 27.035. Let z = 0.4296768 - -26.5701932. Let d = a - z. What is d rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 + -1 - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1025 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8*k + 13. Give i(-7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4 - 19 = 0. Suppose p*d = d. Suppose -2*x + z + 11 = d, 0 = 4*x - 3*x + 4*z + 8. Solve -x*y - 8 = -4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + 1\/(14\/35)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 3*x + 53. Let i = -31 - x. Calculate the least common multiple of i and (-2 - -18 - -3) + 1.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19905.82 millennia to years.\nAnswer: 19905820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6065 is divided by 62.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006042 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 + 2 - 1 - a**2 + 59*a - 57*a to c*a + d*a**3 + z + v*a**2 + y*a**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 43*g**2 - 139*g - 205. What is the remainder when v(-40) is divided by 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12837072 and 64.\nAnswer: 51348288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 6\/209 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**6\/60 - m**5\/10 + 3*m**2 - 6. Let g(q) be the second derivative of c(q). What is the third derivative of g(u) wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from {x: 2, l: 9, v: 2, m: 1}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 861*b + 11724 + 17550 = 0 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-2) - 34\/((-272)\/56). Factor 26\/7*n + 16\/7*n**2 + 12\/7 + 2\/7*n**v.\nAnswer: 2*(n + 1)**2*(n + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1509.\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 13 (b) 1\/15 (c) -2 (d) -0.2 (e) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 5 + 6 = -5*s + 2, 5*i + 126 = 33*s + 22 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*g = 113*g + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*r + 32 = 0. Let c = 82 - 72. What is the remainder when 1 + (285\/c - 2\/(-4)) is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12781612504.000000455 - 12781612699. Let b = -526 - -721. Let l = b + d. What is l rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -15*k + 15. Let d be c(-6). Calculate the highest common factor of 84 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*k - 2. What is the remainder when k is divided by 1 + 2 + -3 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22, -24, -36, -64, -114, -192?\n\"Answer: -p**3 + p**2 + 2*p - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*(5 + (sqrt(220) + -6*(-1*sqrt(220) + sqrt(220) + sqrt(220)))\/sqrt(5)))**2 + 0.\nAnswer: -100*sqrt(11) + 1128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/9 + 2\/(-3). Suppose 4*z + 2*b - 4*b = 106, -r*b = 4*z - 86. Suppose -5*a + 30 = -4*w, -4*a + 6*w - 2*w = -z. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 4346827?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1062, -1259, -1480, -1725?\nAnswer: -1994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 56, 5, 2, -2, -4, -9 in decreasing order.\nAnswer: 56, 16, 5, 2, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 4 - 4 + 733*r + 862*r - 1149*r + (-2 + 2 - 2*r)*(0 + 0 + 2).\nAnswer: 440*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6051277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -426691*q**5 - 107355*q wrt q.\nAnswer: -8533820*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 - 14425358*p**2 + 26011376391198*p - 26011361965842.\nAnswer: 2*(p - 3606339)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -16. Is 4198\/10 + 2\/r a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y**3 + 2*y**3 + 13*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -0*u - 5. Let a = -2 - -4. Let o be (a - u) + (-30)\/(-10). Solve 23 = -o*f + 2*s + 5, -10 = -5*f - 4*s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1147 and 1.7023?\nAnswer: 1952.5381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -186, 2, 21 in decreasing order.\nAnswer: 21, 2, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1510)\/(-300) - 6) + 3\/18?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 (base 5) in base 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-116 + -3)*2\/(2\/(-1)) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231 * 2.412\nAnswer: 557.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -21.994. Round g to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -1. Suppose 0 = -5*w + d*w. Suppose b - 1 - 2 = w. What is the remainder when b is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 4 + (-130)\/35 + (-460)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0626 times -5?\nAnswer: 0.313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/23*((-4)\/8 - 21\/(-2)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*b**2\/5 - 114*b\/5 + 28\/5.\nAnswer: 2*(b - 14)*(4*b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 32 + 8)*(-9*w + 0*w + 11*w) + 5*w - 4*w + 2*w.\nAnswer: 101*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02757 * 0.01.\nAnswer: -0.0002757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17582 is divided by 2723?\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5033?\nAnswer: -5033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12761.\nAnswer: 7, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 13 = -2*j + 6*j, 4*j + 2*m = -2. Let p = -92 - -91. Is p equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.14673\nAnswer: -0.29346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 89021956 to the power of 1\/3, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 883 and 887 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/11)*(t*t**5*t)\/t*t**2\/(t*t**(4\/5)) assuming t is positive.\nAnswer: t**(331\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**5 - 115*i**4 + 239*i**3 + 33532*i**2.\nAnswer: 180*i**2 - 2760*i + 1434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -12493\/1747 less than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7927 + 52686. What is the ten thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v. Let j(p) be the third derivative of -2109*p**4\/8 + p**2 - 2301. What is j(k(r))?\nAnswer: 18981*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + 7 + -75 + 21?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than or equal to 6.322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 c when two letters picked without replacement from {m: 3, c: 5, b: 1, k: 9}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*c + 23, 8 = 386*c - 385*c + 3*z. Solve c*h = -2*w + 9, -h - 9*w = -8*w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3128)\/1173*(1*-1 + (-4)\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1154*y + 570*y - 2901 = 3995 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6654 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: Determine z, given that 98*z**4 + 112*z**3 - 66*z**2 - 112*z - 32 = 0.\nAnswer: -1, -4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 159, -0.4, -3, 1\/3.\nAnswer: -3, -0.4, 2\/9, 1\/3, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*(sqrt(425) + -1) + 4 - (sqrt(425) + -3 + 0 + sqrt(425)))**2.\nAnswer: -461 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o + o - o**2 - 2 + 0*o**2. Let z be h(2). Solve -3*s - 2*s + 25 = -5*j, 4*s + j = z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from hhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1259 - 125 + 4184*b - 752 - 1913 wrt b.\nAnswer: 4184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/5? (a) -0.07 (b) 0 (c) -1.5 (d) -0.06 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_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: Let n(o) be the third derivative of 5*o**4\/6 - 5*o**3\/2 - 37*o**2. Let l(b) = -b + 1. Give -15*l(h) - n(h).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -393495, -393499, -393503?\nAnswer: -393507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 8*g + 132 = 0, 7*y + 42 = 3*y - 628*g + 630*g for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**28*c)\/c*c\/c**0 assuming c is positive.\nAnswer: c**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.59? (a) -1 (b) -54 (c) -15\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3 - 2\/(-6). Let d be (-4)\/20 + (0 - 39\/(-95)). Is l < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1577 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/1101562 and -13\/194.\nAnswer: 106851514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 99124787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 9*c - 58 = 0, 21*j - 23 = 26*j - 4*c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 5*a**2 - 20*a - 3. Is p(-6) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a factor of 2291633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8*z = 0. Solve z = 5*g - 4 - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 749*n**5 - 779*n**2 wrt n.\nAnswer: 44940*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -11262*g + 1. Let q(x) = 9*x**2. Calculate r(q(b)).\nAnswer: -101358*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 3*n + 2. Let o be h(4). Suppose -3*i = 2*y - 10, 0 = y - i - 3*i + o. What is the third biggest value in 3, y, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 219533690*n + 219533685.\nAnswer: 5*(n - 43906737)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjjyfsfyyljsljyyjyj. What is prob of sequence lyj?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*y = 8. What is the tens digit of ((-2)\/(-4))\/(y\/60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 5*t**2 - 4*t + 15. Let m(y) = -3*y**3 + 16*y**2 - 14*y + 45. Give 2*m(n) - 7*q(n).\nAnswer: n**3 - 3*n**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyp when three letters picked without replacement from {x: 1, m: 2, p: 3, y: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01808 and -2?\nAnswer: 0.03616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v**3 - 5*v**2 + 15. Let f(g) = -7*g**3 + 6*g**2 - 14. Give 5*f(o) + 6*q(o).\nAnswer: o**3 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -1) + (1 - 6) + 12 + 8\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.24 + 9. Let m = k - 0.06. Which is the closest to 0.2? (a) m (b) -2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1276 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -120? (a) 4 (b) -4 (c) -2\/13 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 6. What is the least common multiple of 6 and h(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 417 + -406. Sort 5, -4, p, -3 in decreasing order.\nAnswer: p, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(6) + 3*sqrt(24)))**2.\nAnswer: 19\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 1163490*z - 18617120.\nAnswer: 5*(z - 232714)*(z + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/(a**(-3)*a))\/a)\/a**0)**50 assuming a is positive.\nAnswer: a**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -657436*y - 22352836. Calculate a(-34).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 8*z - 15. Suppose 5*g + 3*f - 40 = 0, 5*g - 4*f - 5 = -0*f. What is the tens digit of v(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4162996 to the power of 1\/2, to the nearest integer?\nAnswer: 2040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 12:00 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c**2 - 4*c + 5. Let u(o) = 5*o**2 + 3*o - 5. Determine 3*q(g) + 4*u(g).\nAnswer: 2*g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 94571170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (7 - 0 - -1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1252672 and 31228?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*t = -4046, -94*s + 98*s + 3*t = 7993. Which is smaller: s or 22062\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 6 = 3*f, 341 = -4*v - 4*f + 345 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4579 - -4620. What is the third biggest value in -21, x, 2?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6\/19)*w**18*(w\/w**(-7)*w*w)\/(w*w**(-1\/7)))**(1\/13) assuming w is positive.\nAnswer: w**(3568\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = h + 14. Let w = h - -14. Let v = w - -11. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1899 and 15.\nAnswer: 9495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 112961.87 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -139 - -137.99. Let t = 14.2 + -14. Let s = m + t. Round s to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 10 + 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1296 and 56016?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6*p = 0. Let o = 18 - 11. Suppose 2*r - o*r + 95 = p. What is the remainder when r is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/4697 and -11\/8113?\nAnswer: 89243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a*m**3 - 6866*a*m**2 + 1333*a + 4 wrt m.\nAnswer: 6*a*m**2 - 13732*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 97, 66, 1, -110, -279, -518?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -7*u. Let h(y) = -5*y - 16*y + 6*y. What is -6*h(z) + 13*m(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/(((-6)\/(-384)*-2)\/(51095\/(-7432))).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-7\/3))\/(j*j*j**(-7)))**35 assuming j is positive.\nAnswer: j**(980\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 374595.837 at most as big as -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**3\/l)\/((l*l\/(l*l**(-4)*l))\/l))**(-20)\/((l**2*l*l**(1\/8))\/(l\/l**(2\/5)*l\/(l\/(l*l**(4\/3)))*l)) assuming l is positive.\nAnswer: l**(2497\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -10012, 4, 3\/10, -0.4 in descending order.\nAnswer: 4, 3\/10, -0.4, -10012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 514\/9 (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 178101 and 187803.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1870067?\nAnswer: 1870067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-243) - 0)\/(81\/(-6804))?\nAnswer: -56\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h - 13. Let d(x) = -x + 6. Let k(v) = 3*a(v) + 7*d(v). Calculate k(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -16 (b) -1\/50 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -63084240?\nAnswer: 63084239.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 - 65*c**2 + 50*c + 120.\nAnswer: 5*(c - 12)*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times 15?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-96))\/(((-18)\/60)\/((-1026)\/45))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h - 2. Let j be p(3). Let l be 2\/((-6)\/(-3) - 3). Let q = l + j. Solve 11 = -3*d + 2*s, q*s + 7 = 3*d + 21 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 825 + -906.9. Let g = h - -82. Which is the third smallest value? (a) -2 (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3040477703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4*s + 2, s = -0*s - 4. Suppose -f*w - w + 378 = 0. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**5\/19 - 712*u**4\/19 - 65982*u**3\/19 + 136908*u**2\/19 + 202176*u\/19 = 0.\nAnswer: -78, -1, 0, 3, 432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3738\/4806 + (-1992)\/2700?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33704 and 1044824?\nAnswer: 1044824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhzrzzwh. Give prob of sequence wzz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142551?\nAnswer: 3, 47, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 389330098?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -52?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 7 = 4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/9, 2, -15683, -4\/3, 36, 0.3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -90bc (base 16) to base 4\nAnswer: -21002330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p + 3*p - 18*p - p - 4.\nAnswer: -10*p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -24*y**2 - 3*y - 15. Let j(n) = 6*n**2 + n + 4. Let g(o) = -15*j(o) - 4*t(o). What is the second derivative of g(d) wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 702820 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*-2*2*sqrt(76))\/((sqrt(144)*-2 + sqrt(144) - sqrt(4)) + (sqrt(36)\/(sqrt(9)*1) - sqrt(4))).\nAnswer: 2 + 4*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 2*o - 31, -86871*o + 86874*o + z = 14 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((975\/45)\/13)\/(180\/24)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 74 = 2*a, 2*a - 5*u - 245 = -3*a. Let x = 48 - a. Suppose x*p + 11 = 29. Calculate the least common multiple of p and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**4 - 4*w**4 + w**4)*(-2*w - 2 + 2) - w**4 - 2*w**5 + w**4 + (w**2 + 2*w**5 - w**2)*(-3 + 2 + 3).\nAnswer: 12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (27 + -3)*2\/3. Suppose -2*g = -t - 0. What is the units digit of g\/(-14) - 18\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4) - (-273)\/12. Suppose -g*i + 18*i - 270 = 0. Let h = i + 53. Put -5, -29, h in ascending order.\nAnswer: -29, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46158119 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1697289539?\nAnswer: 11, 154299049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from zwfkdfkqfqzz.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -177417110*j**4 + 483*j**2 - 67304*j wrt j?\nAnswer: -4258010640*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 284 by 142.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 69*l + 716. Let h be s(78). Solve -1 + 43 = -h*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1122457005, 2244914010, 3367371015?\n\"Answer: 1122457005*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 - 41*x**4 - 2835*x + 3 - 2*x**3 + 2777*x + 40*x**4 to p*x**2 + d*x + h*x**3 + i + s*x**4 and give d.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 11.3 (b) 9 (c) -1 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -13. Suppose -w - 2*w = 5*t + 19, -7 = -w + 5*t. Sort h, -4, w in decreasing order.\nAnswer: h, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.132 + -0.104. Let p = t + 0.072. Which is smaller: -1\/8 or p?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 976255*v**2 - 741835.\nAnswer: 1952510*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 180 = -0*z + 5*q, -5*q = -20. Suppose -4*m - 3*d + 22 = -3*m, -z = -2*m - 3*d. Which is bigger: 57\/2 or m?\nAnswer: 57\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 - 3*o + 3*o)*(0*o + 2 - o + 5*o).\nAnswer: -16*o**3 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014685642502 to 4 decimal places.\nAnswer: 0.0147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 14) in base 2?\nAnswer: 110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 579547 (base 10) to base 7\nAnswer: 4632433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 469, 1, 1\/9, 33, -3\/4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5330 + -12?\nAnswer: -5342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 10. Suppose -2 = -5*d - r. Let q(j) = 10*j**2 - j. What is the remainder when 20 is divided by q(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 6*l**2 - l - 3. Let s(g) = -g**3 + g**2 - g - 1. Let q(c) = 2*s(c) - y(c). What are the prime factors of q(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h = 2*b + 5, -10 = -2*h - 5*b. Calculate the smallest common multiple of h and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 1 - (5 - (-1 + 10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 7*g - 6. Let k(j) be the second derivative of -3*j + 0 + j**2 + 1\/12*j**4 + 1\/3*j**3. Give k(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 103733661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**3\/4 - 31659*q**2\/2 - 4255017*q\/4 - 4001697 = 0.\nAnswer: -63, -4, 21173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(16*y**2 - 27*y**2 - 8 + 13*y**2).\nAnswer: 2*y**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 54*d + 29*d + 32*d + (-d - 7*d - 3*d)*(0 + 4 - 5) - 4*d + 0*d + 2*d.\nAnswer: 124*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 261\/(-1)*(-1326)\/3978?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 - 2*u**2 + u + 1. Determine s(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 22 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -168*5116363\nAnswer: -859548984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22, 33, 44, 55?\n\"Answer: 11*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*t + 83*t - 8 = 2*q, 0 = 4*q - 2*t - 96. Suppose -h - 5*j = -13, -2*h + 4*j + 0 + 12 = 0. What is the remainder when q is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fge. What is prob of sequence fge?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + c - 33. Let t(l) = l**3 - 5*l**2 - 7*l + 6. Let i be t(6). Let k be b(i). Let s = k + -172. What is s rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.19 in 2, -1\/2, -29839, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/14976 and 37\/104.\nAnswer: 14976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 129*y + 59. Let l be w(4). What is the highest common factor of l and 391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**3\/h*h*h)*h*h**(-5\/6)*h)**(-8)\/((h\/((h**(-1)*h*h)\/h))**(-29)\/(h**0*h**(-5))) assuming h is positive.\nAnswer: h**(116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0\/f)**(9\/4)\/((f\/f**(-1\/7))\/(f*f**3)))\/(f**(1\/7)*(f*f**(-1\/13))\/f*f**3\/(f**(-3\/4)\/f)) assuming f is positive.\nAnswer: f**(-383\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 339037424*c**2 + 2*c - 19774763 wrt c?\nAnswer: 678074848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61 or 687\/11?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - -50 - (-6 - 7 - -2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4 - -3)\/((-45)\/60)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7875255989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 3*l - l)*(757 + 291 - 230).\nAnswer: -1636*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1496?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2232, 4767, 7302?\nAnswer: 9837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubuuebueeeeb. Give prob of sequence ebu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13280880 is divided by 592?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91 + -67. Suppose -7*v + d = -3*v. Solve 3 = 3*y - v*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.5, 12, -1232, 4, 1\/11.\nAnswer: -1232, 1\/11, 0.2, 0.5, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5682520 is divided by 847.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**2 + 53632*b - 2304327 = 0.\nAnswer: 43, 53589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5*(-2 + (sqrt(2736) - (-4 + sqrt(2736)))) + 5 + -4))**2.\nAnswer: 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6885129?\nAnswer: 3, 89, 107, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -7*d + 2. Which is the biggest value? (a) d (b) 1\/2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 774753.\nAnswer: 3, 7, 79, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*i = -328*i - 56 - 88 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34203265\/67164 + -1\/33582. Let o = s + 513. Let -9\/4*b**2 + 0 + 27\/4*b**3 - 3\/4*b - o*b**4 = 0. Calculate b.\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 2:53 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 15. Let j = 18 - l. What is the highest common factor of 54 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(2*3\/9). Suppose -3*x = 2*l - 5, b*l + 5*x - 11 = -l. Solve 3*n + 12 = 0, -l*p - n - 29 = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69 + 71. Let m(u) = 2*u**2 + 2 - u**2 + 9*u - 3*u. What is the remainder when n is divided by m(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c + 3*c + 2*c**2)*(-4*c + 0*c + 6*c) + 425*c**2 + 82*c**3 - 425*c**2 - 22*c**3 - 3164 + 3164 in the form z*c**2 + u*c**3 + x + g*c and give u.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 313101112 (base 4) to base 9\nAnswer: 374484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (112\/504)\/((-4)\/6)*-9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 766*p - 605. Let a(f) = 1531*f - 1213. Let y(r) = 4*a(r) - 9*j(r). What is the first derivative of y(b) wrt b?\nAnswer: -770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*24\/32)\/(96\/(-8))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 1, 584, 4 in descending order.\nAnswer: 584, 4, 1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 4:04 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -887 less than or equal to -4439\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 34 (b) -0.5 (c) 4.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 789626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 23 + 8 = 0. Suppose -u*d + 0*k = -k - 188, -3*k - 9 = 0. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -446 - -561. What is the remainder when u is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -174 + 173.8. What is the nearest to c in 4, 0.12, 5?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7120, 7078, 7014, 6934, 6844, 6750, 6658?\n\"Answer: w**3 - 17*w**2 + 2*w + 7134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/14 - 74\/(-14). Suppose -2*c + 198 = 5*i, 0*c = d*i + 3*c - 202. What are the prime factors of i?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29001389.\nAnswer: 1097, 26437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwmnirnr. What is prob of sequence rwr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 12?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 2 + 4 - 1 + 31 + 0 - 16.\nAnswer: z + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 64170 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 13*x + 6. Let i(a) be the first derivative of 7*a**2\/2 + 3*a - 2. Let j(z) = 6*g(z) - 11*i(z). Let w = -5 + 8. What is j(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4 + t**2 + 2*t + t - 6*t. Let b be h(4). Is -5 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 9*i**2. Let m(r) = -r + 3. Suppose -11*b + 50 = -6*b. Let c(u) = 2*u - 5. Let l(v) = b*m(v) + 6*c(v). Give w(l(x)).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1900 = 3*k - 203, k = 5*z + 701. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-4))\/(6\/(-8)). Let p = -1.67 + 0.67. What is the biggest value in p, -0.06, c, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 - m**2 + 2*m**2)*(-20776*m**2 - 2026*m + 20778*m**2 - 7 - 8) to s*m + t*m**3 + o*m**2 + l*m**4 + n and give t.\nAnswer: 2026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = x - 5*o, 2*x + 8 = 3*x + o. What are the prime factors of (6\/x)\/((-3)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1986, 2180, 2374, 2568, 2762, 2956?\n\"Answer: 194*x + 1792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 17*s**2 - 15*s + 186. Calculate the smallest common multiple of 60 and n(-18).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*j**3 - 35*j**3 - 66*j**3 + (-j**3 + 0*j**3 - j**3)*(0 + 3 - 1) + (0*j**2 - j**2 - 3*j**2)*(3*j + j + 3*j) as d*j + v*j**3 + c + x*j**2 and give v.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209685 is divided by 2832?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**2 + c - 4 + 4*c**2 + c. Let v be j(-6). Let k = 30 - v. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22057 + -351?\nAnswer: 21806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14bb4d (base 14) to base 13\nAnswer: -1c4655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/58920 and 77\/36.\nAnswer: 176760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 3. Suppose -5*b - 43 + 133 = 0. Suppose 0*q = 3*q - b. Is k(q) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1704339, -3408679, -5113019?\nAnswer: -6817359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**5\/12 + 31*i**2 + 1. Let f(t) = -17*t. What is c(f(m))?\nAnswer: -1445*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1 + (-1 + 5 + 0)*(253 + 126 + 123))*(2*k + k - 2*k) in the form y*k + c and give y.\nAnswer: 2010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 1. Let j = 0 + 8. Suppose -4*k + 8 + j = 0. Give u(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -205 (base 7) to base 14.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqxq when four letters picked without replacement from qqqqqxqqxxx?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 0 - 2\/3*i**3 + 2*i - 1\/2*i**2 + 1\/12*i**4. Suppose x = -3*u - 4, 6 + 6 = -4*u. Calculate f(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 244*w - 17. What is the tens digit of b(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + (5 + -9 + 5)*-7. Which is smaller: o or 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(112) - (sqrt(112) + 1)*-6) + (sqrt(112) - (sqrt(112) + sqrt(112) + 0 + sqrt(112) + 2))*1)**2 + -2.\nAnswer: 40*sqrt(7) + 2799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (627\/(-88))\/((-1368)\/(-7296)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*z**2 - 50*z**2 - 42*z**2 - 3 + 4.\nAnswer: 82*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -395 - -533. Suppose s = -9*q + 15*q. Calculate the remainder when 77 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -816, -2107, -4268, -7305, -11224, -16031, -21732, -28333?\n\"Answer: -c**3 - 429*c**2 + 3*c - 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 114 and 36?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*w**3 - 149*w**2 + 6 + 149*w**2 - 21 wrt w.\nAnswer: -45*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.0343, -390, 5 in ascending order.\nAnswer: -390, -2\/3, -0.0343, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -11*d**7\/210 + d**5\/10 - 14*d**2. What is the third derivative of x(p) wrt p?\nAnswer: -264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 7174.\nAnswer: -1434.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**3 + 3*v**2 + 2*v + 8. Let q(i) = 6*i**3 + 5*i**2 + 2*i + 8. Let m(p) = -4*q(p) + 5*y(p). Calculate m(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -347 - 5?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 5880 + 1859 + 4003.\nAnswer: 2*k - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6445162 to the nearest integer?\nAnswer: 2539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -110 - 448*y**3 - 155*y + 894*y**3 - 441*y**3 - 40*y**2.\nAnswer: 5*(y - 11)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48685?\nAnswer: 5, 7, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*s + 1399597, 1042288 - 3141703 = 3*s + 5*u. Round s to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -2, -1.07, 0.2, 180, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11214 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 222302156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*w - 18*w - 21. Let v(k) be the second derivative of -k**4\/12 - 5*k**3\/3 - 4*k**2 - 70*k + 3. Determine v(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 59 + 4?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1178)\/25916 + (-155)\/(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**5 - 362*d**4 + 19652*d**3 - 318308*d**2 - 697030*d - 358706 = 0 for d.\nAnswer: -1, 43, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 51660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(98\/32 + (-6 - -3))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -2517?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1, 8, 31, 74, 143?\n\"Answer: z**3 + z**2 - z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 31 - 28 + o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3*3058 + (14 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -318 - -316. Which is the third smallest value? (a) -2\/17 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h - 34 - 17 + 61 + 86*h**5 wrt h?\nAnswer: 1720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11*w**2 + 9*w - 7. Let o(a) = 5*a**2 - 4*a + 3. Suppose -c - 10 = -n, n + 7*c = 12*c + 22. Calculate n*o(d) + 3*r(d).\nAnswer: 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3131*j*v**2 - 3318*j - 61648652*v**2 - 2*v wrt j.\nAnswer: -3131*v**2 - 3318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -5 (b) -0.38 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u - 3. Let z be t(3). Let v = -1 + z. Suppose -d - 9 = -v*d + 4*m, -3*d + 5*m = -20. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 - (6 + -1) - (-12 - -23).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/8)\/2)\/(-1*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 448 and 37386208?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6161.2457 rounded to the nearest 100?\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1330\/532)\/(((-33)\/2)\/3).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.038 * 1082029.3\nAnswer: -41117.1134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116685 divided by -5.\nAnswer: 23337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00040374 to 5 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 6*l - 20. Solve -l*i = 4*q + 20, 5*i - 11 = -0*q + 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 342 - 321. Let a be (6\/d - 132\/(-77)) + 10. Solve 2*c + 6 = -2*w - c, 4*w + a = 5*c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 10:28 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -v + 8, -m - v + 5 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*w = 26, -6 = 5*z + 3*w + 8. What is the tens digit of 4 - (77 + z)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmf when three letters picked without replacement from fmfymffrypffmymp.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 0*f + 0*f - 2*f + (2 + 1 - 1)*(24*f + f - 14*f).\nAnswer: 20*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.420046 years to millennia.\nAnswer: 0.002420046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2851739497 and -2.\nAnswer: -5703478994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(13\/6)\/(i*i\/i**(-1\/22)*i) assuming i is positive.\nAnswer: i**(-29\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 463, 461, 449, 421, 371, 293, 181, 29?\n\"Answer: -b**3 + b**2 + 2*b + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4860684779 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18659, 19049, 19441, 19835, 20231?\n\"Answer: t**2 + 387*t + 18271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 663825 is divided by 150?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 780 divided by -156?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*c*d**2 - 27*c*d*q - 33*c*q**2 - 2*c*q - 5*c - 44*d**2*q**2 wrt d?\nAnswer: -14*c - 88*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2, -13.7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*m + 20 = 150*m. Solve 29 = m*q - j, q - 2*q - 3 = 2*j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 9 = -6*n + n, 0 = 2*n - 2*o - 18. Suppose -3*r = n*y - 335, 2*y - r + 6*r = 153. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2323*v - 26. Let c(u) = 1163*u + 11. Give -7*c(m) - 3*z(m).\nAnswer: -1172*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + -9 - (1 + -11)) + 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -30. Calculate the lowest common multiple of q and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -13, 5 in decreasing order.\nAnswer: 5, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06 - -0.1. Let f = -3.46 - a. Let z = -4 - f. Sort z, 0.3, -4.\nAnswer: -4, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5294?\nAnswer: 2, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -19767 * 2\nAnswer: -39534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1171697 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12604 and -78?\nAnswer: 12526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -2 - 1 - (-19 - -13 - 66)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1149 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67703.85 litres?\nAnswer: 67703850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 1511 + 1461 - 2978.\nAnswer: q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (79 - -62) + -122 - (-1 - 18)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 65*j**2 + j + 1. Let f be 1\/(0 + 1 - 2). Let l be s(f). Suppose -2*y = 3*y - l. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 477617, 953605, 1429593?\n\"Answer: 475988*g + 1629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*l**3*v**3 - 20*l**3*v**2 - 3*l*v**2 wrt v?\nAnswer: 126*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**3 + 2*f**2 - 2*f - 4. Let q be b(-1). Suppose 3*x - 6 - 3 = 0. Solve -p + t = -6, -4*p - q*t - x*t = 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56654 (base 8) to base 6\nAnswer: 303004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3.1. Let m = -0.069 - 0.431. What is the third smallest value in -3\/4, m, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.77 - 0.8. Let i = -1.03 - v. Which is the third smallest value? (a) 0.1 (b) -13 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r + 3*r - 2*r + (2 + 1 - 2)*(10 + 5 - 3)*(-2*r + 2 - 2).\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47154 - 17074. Let x be (-9375)\/10*r\/(-6). What is x rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1025 (base 9) to base 8.\nAnswer: -1360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 12. Let o be 1\/(1 - 4\/5). Let u(p) = 2*p - 3. Calculate the smallest common multiple of x and u(o).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 + 213013302322?\nAnswer: 213013303013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/((3\/21)\/((-60)\/70))\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -85\/11 (c) 1 (d) 2\/7 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -42. Suppose -b - 28 = -3*c, 0 = -2*c + b + 23 - 3. Suppose -j = c - y. Solve -j*f - 13 = -3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1410542 - -31?\nAnswer: 1411013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 455513 - 320383. What is u rounded to the nearest one thousand?\nAnswer: 135000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 24, 30, 38, 48?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 3*k - 2*k)*(-5*k**4 + 5*k**4 + 3*k**4) - 2*k**5 + 4*k**5 + 5*k**5 - 2*k**5 + k**5 - k**5.\nAnswer: -k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - 129\/30 - (-54)\/(-20). Put 130, -2, d in decreasing order.\nAnswer: 130, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 764*t. Let y(a) = -21*a + 170. Let f(i) = 7*i - 60. Let q(d) = 17*f(d) + 6*y(d). Give q(h(n)).\nAnswer: 7*n**2 - 5348*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -311 - -360. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*k - 10*k + 21*k)*(-4 + 1 + 1)*((1 - 3 + 3)*(1 + 1 - 3) + 3 + 2 - 2)*(-8*k**3 + 0*k**3 + 45*k**3).\nAnswer: -3404*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13, -150, -431, -830, -1347, -1982?\n\"Answer: -59*s**2 + 14*s + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 36, 2, 1, -72, 10, -4.\nAnswer: -72, -4, -1, 1, 2, 10, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*q**2 - 147*q**3 + 274*q**2 + 2*q - 2*q.\nAnswer: -147*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4187 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.18 take away -0.187?\nAnswer: 1.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**3 - 2*a**2 - 2*a - 1. Let m = 7 + -7. Suppose m*o + 3*o + 3*j - 3 = 0, -3*j + 11 = -5*o. What is g(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -148*w**3 + 5*w**2 + 11*w + 7. Is 41 a factor of g(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8199, 7118, 5931, 4584, 3023, 1194, -957?\n\"Answer: -9*l**3 + l**2 - 1021*l + 9228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -310, -312, -314, -316, -318, -320?\n\"Answer: -2*x - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 0*d. Suppose -4*a + 9 - 1 = d. Suppose a*v - 3*v = -11. What is the remainder when v is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, m: 2}. Give prob of sequence mm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5 + (-112)\/(-5). Let h be (56 + -62)*4\/6. Let o = j + h. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/16 of a minute?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 124.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from ssssssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.088, -3861, 0, -1 in decreasing order.\nAnswer: 2\/5, 0, -0.088, -1, -3861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1106439, 2212864, 3319289, 4425714, 5532139?\nAnswer: 6638564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132*t**2 - 128*t**2 + 267*t**2 - 21 - 57 to l*t + q*t**2 + o and give o.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4066 (base 14) to base 11\nAnswer: -8350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122907708?\nAnswer: 2, 3, 7, 11, 101, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 times 1?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*j = -4*q + 77, q = j + 17. Suppose -13*m - q = -22*m. Solve -l + m - 7 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/10)\/(4\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45022 is divided by 41111.\nAnswer: 3911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6 = 0, -v + 4 = -4*d + 7. Let q(i) be the third derivative of 0*i**3 + 0 + 0*i + i**2 + 1\/60*i**v + 0*i**4. Let r(b) = b**2. What is r(q(w))?\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 d when four letters picked without replacement from {d: 6, s: 7}?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/5)*q**(-2\/7)*q**5*q*q**5*q)\/((q**(-1\/3))**37\/(q**(1\/3)*q)**(-41)) assuming q is positive.\nAnswer: q**(-3131\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.882 (b) 2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166180731?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 4:28 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 90271002*a**3*f - 2*a**3 + 6*a**2*f + 93102641 wrt f?\nAnswer: 90271002*a**3 + 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2538976, -10155893, -22850750, -40623547, -63474284, -91402961?\nAnswer: -124409578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 245*p**4 + 35*p**3 - 235*p**2 - 35. Let y(h) = -41*h**4 - 6*h**3 + 39*h**2 + 6. Let q(v) = 6*m(v) + 35*y(v). Find the third derivative of q(n) wrt n.\nAnswer: 840*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2, 108193.\nAnswer: -19, -2, 108193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from deonw. What is prob of sequence ee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11831 - 7*f**3 - 11831.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-8))\/(1\/3).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 1)*(3*j - 3*j + 2*j) - 3*j + 17*j + 20*j - 3*j + 3*j + j to w + r*j and give r.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*a + 46*a = -184*a - 1260 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g - 456 = 2*g. Solve k = -7*k + g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 4)*(-136*x + 41*x - 23*x).\nAnswer: 118*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*d = -5*d - 162, 4*d = 4*h + 200. Let f = h - -65. Solve f - 4 = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8150082 to the power of 1\/2, to the nearest integer?\nAnswer: 2855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -28.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((19 - 23) + -316)\/(2\/(-6)) is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90299 is divided by 3817?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1591, 6432, 14499, 25792, 40311?\nAnswer: 58056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b**3\/7 - 67894*b**2 + 158420*b\/7.\nAnswer: -2*b*(b + 79210)*(3*b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -35503305 (base 6) to base 16\nAnswer: -10fa99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from tttvttv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2504830511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3 (b) 5 (c) 0.092\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2249*n - 256 = -2253*n - 11*f, 3*n + 4*f - 175 = 0 for n.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 5*j**2 + j - 3. Let o be a(-3). Let f(i) = -i**2 + 11*i + 16. Let c be f(o). Let b(d) = 0 + 2*d - 4*d - 2*d**2 + 0 - c + d**3. Calculate b(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 3*h - 2. Let c be v(4). Suppose -2*i = c*k - 0*k + 238, 2*i = -3*k - 239. Let l = -23 - i. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -27*s + 110. Calculate i(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfo when three letters picked without replacement from {y: 2, j: 3, o: 2, f: 3, t: 5}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = d - 5*d. Suppose 3*x = x - 3*a + d, 2*a - 4 = 0. Suppose -x*f = -62 - 4. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/3, 2, -6\/19, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-474)\/(-7189))\/(8\/(280\/45))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zttostqlzzs.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 15 = -5*d, -d - 3*p - 1 = 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*j - 20. Solve -j*z - 9 = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 50*z + 13. Suppose -3 = -2*q + r, 32 = 3*q + 4*r - 0. Is g(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.12 rounded to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 183 (base 11) to base 7.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/1 + 98*7 - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1629 + 10900959560.\nAnswer: 10900961189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (90\/(-12))\/((15\/(-10))\/3). Let p be 4\/(-12) + (50\/l - 2). Let k(g) = 2*g + 6. Let h be k(-4). Which is the third biggest value? (a) h (b) 6 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3951 - 3929. Sort b, 2, -0.077 in ascending order.\nAnswer: -0.077, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 6*l - 4. Let j be b(-2). Let c = -21 - -37. What is the tens digit of 696\/c - 2\/j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 815729.\nAnswer: 815729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {v: 3, i: 1, m: 4, a: 1, h: 3, j: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6}. What is prob of sequence ff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywww. What is prob of picking 1 y and 2 w?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**3 + 2*j**2 - 6*j - 13. Let b(x) = 3*x**3 + 2*x**2 - 7*x - 15. What is -5*b(q) + 6*m(q)?\nAnswer: 3*q**3 + 2*q**2 - q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0*(v**13*v*v)\/v)**(-1) assuming v is positive.\nAnswer: v**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8527.8 rounded to the nearest 100?\nAnswer: -8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - s = 25760000. Round s to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17864606?\nAnswer: 2, 23, 47, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/2 - 535*a\/2 - 537.\nAnswer: (a - 537)*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/((-126)\/(-1292))*30\/2. Suppose 4*z - n = 3*g + 1466, -5*z + 2*g + 5870 = 0. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 59971265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1560 times -1.3625?\nAnswer: 2125.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -160 + 135.96. Round q to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145050.\nAnswer: 2, 3, 5, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 9:29 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000 - 220103?\nAnswer: -221103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1621 and -101.4.\nAnswer: -164369.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 19 = -27. Let c = -20 + s. Suppose -q - 3*k = -3*q, c*k = 12. Calculate the greatest common divisor of 36 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**7\/210 + t**6\/60 - t**3\/3 + 4*t**2. Let n(m) be the first derivative of x(m). Find the third derivative of n(g) wrt g.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127766.\nAnswer: 2, 193, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 11*g**2\/2 + 2*g + 923. Let j(c) = 43*c + 9. Give 9*a(n) - 2*j(n).\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o - 4*o + 8*o - 2*o + 3*o + 0*o + (2 - 1 - 3)*(-4*o + 2*o + o) + (1 - 1 - o)*(-2 + 1 - 2) + 1 - 2*o - 1 to the form k*o + q and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 157c (base 13) in base 2?\nAnswer: 110001001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - -34 - 5) + -19 + 1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/16 + (102\/12 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeee. What is prob of picking 3 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 3. Let k be s(7). Suppose -k*f = 5 - 1. What is the tens digit of (-176)\/(-4)*1 - f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19313506 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m - 18*m + 2*m)*(4 - 4 - 2) + (2 + 2 - 6)*(1 + 4*m - 2*m + 0*m) as y + j*m and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -449768 divided by 269.\nAnswer: -1672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -4*q**6\/51 + 8*q**5\/85 + 3*q**4\/34 - 4*q**3\/51 - q**2\/17 - 4. Suppose g(p) = 0. Calculate p.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**4\/6 - 103*i**2. Calculate m(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1 (c) 1\/3 (d) 17\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*348\/5481.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -29*y**2 - 3*y - 5. Let b(a) = -27*a**2 - 2*a - 4. Let m(v) = 6*b(v) - 7*o(v). Let z be ((-2)\/(-5))\/(1\/20). Is m(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*i + 393*i**3 + 77*i + 198*i**3 + 37*i wrt i?\nAnswer: 3546*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6688*n**2 - 15347*n**2 - 15256*n**2.\nAnswer: -23915*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6 + -13 + 4 - -15\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 14*r - 24. Let z be w(-15). Let j be 48\/40*(-30)\/z. Does 16 divide 8\/(6*j\/84)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 15*n**2 + 18*n - 38. Let h be b(16). Let l be (h + (-4 - -5))\/(-1). Suppose 10*d = l*d + 30. Calculate the least common multiple of d and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67278, 134542, 201794, 269028, 336238, 403418?\nAnswer: 470562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 664 a factor of 168213696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(20)\/(sqrt(10)*1*1) + sqrt(14)\/(-6*sqrt(35)\/sqrt(5)) + -5 + 2)**2 + 5.\nAnswer: 10*sqrt(2)\/3 + 187\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 360*u - 5. Let l be d(0). What is the biggest value in l, 1\/6, -0.3, -4.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -1536*v**3 + 1 + 1541*v**3 - 7*v + 4*v**2 + 3. Let c be j(2). What is the biggest value in c, 2, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1416 - 653. Let v = r - 763.00197. Round v to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144233 (base 6) in base 5?\nAnswer: 421132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2362, -2507, -2646, -2767, -2858, -2907, -2902?\nAnswer: -2831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-72)\/(-15) + -5 + 798\/165 + -3. Factor 12\/11*b - x - 2\/11*b**2.\nAnswer: -2*(b - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*u - 25*u = 9*u - 910 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 38*v**2 - 6*v + 2. Let o be f(1). Let w = o - 31. Is w at most 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1534, 1742, 1950, 2158?\nAnswer: 2366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56723 less than or equal to -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 57080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - ((-19 + 8 - -21) + 4 - 15).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1*sqrt(3) - sqrt(3)) + -3 - (sqrt(48) + -2))**2*-2.\nAnswer: 64*sqrt(3) + 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 4 - (-10 - -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -409099581.31 and -2.5.\nAnswer: -409099583.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 5*m**4\/12 + m**3\/2 - 3*m**2 + 19*m - 1. Let h(w) = -4*w**2 - 3*w + 5. Calculate 6*h(q) + 5*s(q).\nAnswer: q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*s*w**4 - 1395461096*s + 134901825*w**4 wrt w?\nAnswer: -20*s*w**3 + 539607300*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 31*l**7\/210 + l**6\/40 + 43*l**5\/30 - 141*l**2. What is the third derivative of a(r) wrt r?\nAnswer: 744*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262391743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 20. Suppose l = -l + p. What is the second derivative of -5*a**l + 2*a + 6*a**4 - a**5 - a**4 wrt a?\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1816558.\nAnswer: 2, 223, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -9*y**3 + y**2 - 8*y + 8. Give i(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776 times -29?\nAnswer: -51504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 734.2 and 2.629.\nAnswer: 1930.2118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by -9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*k**3 - 874*k + 437*k + 433*k in the form b + v*k**3 + x*k + s*k**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2 = 2. Suppose -3*h + f*h - 4*u + 113 = 0, 3*h - 145 = 4*u. What are the prime factors of h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -583.1 (b) -2 (c) 4\/63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99154, -99158, -99162, -99166, -99170?\nAnswer: -99174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4026 is divided by 110.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10, c: 5, t: 4}. Give prob of sequence scst.\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -58, 501, 1434, 2741, 4422, 6477?\n\"Answer: 187*f**2 - 2*f - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11620 divided by -35.\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -11*j - 85, 4*j = 5*k - 6654 + 6814 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1554745 and 110.\nAnswer: 34204390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**3 + 4*f**2 + 4*f + 1. Let n(z) = -z**3 - 3*z**2 - 2*z. What is 2*h(l) + 3*n(l)?\nAnswer: l**3 - l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -3265\/114082 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -3 + -12 + 9. Let i(t) = -t**2 - 9*t - 12. Let p be i(n). Suppose 5*a + 14 = p*a. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*x + 27 = -239*x - 3*l, 2*l - 46 = -4*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u - 45*u**2 + 16*u**4 - 3*u + 43*u**2 to p*u**4 + b*u**2 + q*u**3 + o + l*u and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -37c4b0 + 4?\nAnswer: -37c4a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r**2 + 7*r + 2*r**2 + 3*r**2. Let y = -34 + 31. Calculate q(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -z - 2*z - 5*o, 4*o = -4*z. Suppose 5*a = 15, -42 = z*n - 3*a - 3. Let y be n\/(-14) + (-2)\/4. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u - 20. Let d = -10 + 26. Let w be k(d). Suppose w = g - 2*g + 5*q, 4*g - 2*q = -22. What is the common denominator of 65\/3 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(0 - 2\/1). Suppose m - p - g - 1 = 0, 0 = 5*m + 3*p - 23. Let i = -70 + 67. Put m, i, 2 in descending order.\nAnswer: m, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -396, -460, -524, -588?\n\"Answer: -64*c - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.6197 + 0.0197. Let z = j + 3.1. Let d = -0.1 + 0. Sort -2\/7, z, d, -2\/11 in decreasing order.\nAnswer: d, -2\/11, -2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*p = -23*p + 7740. Let s = p - -1292. Factor 0 + 5\/3*q**3 + 0*q - 2*q**s - 1\/3*q**4.\nAnswer: -q**2*(q - 3)*(q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47226 + 12?\nAnswer: -47214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**8\/6720 + w**7\/315 - w**6\/72 + 7*w**5\/120 + w**4\/12 + 17*w. Let t(f) be the third derivative of x(f). Calculate t(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aoa when three letters picked without replacement from {o: 13, a: 6}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 22*n + 3 - 2 as w + i*n and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 6*u + 5. Let o be p(-9). Let d be 2\/(-11) - 3084\/o. Suppose -w + 35 = 2*q - 0*q, -4*w + q = -d. What are the prime factors of w?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1167.325 + 1168. What is x rounded to two dps?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**2\/2 - 2*v - 1. Suppose -2 - 1 = 3*w, 0 = x + 5*w. Let y be g(x). Solve -27 + y = -4*t - 4*h, -2*h = -10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10152?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6238*w*x**2 + 621*w*x - 6*x**2 + 3*x - 1 wrt x?\nAnswer: -12476*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 10:09 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -3 (b) -8 (c) 0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142142 is divided by 318.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 + 12)\/18 - (-1067)\/3. Let m = k - 332. Calculate the highest common factor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + q)*(-332 + 27 - 37)*(2 + 0 - 3)*(2*q - 5*q**2 - 2*q).\nAnswer: -1710*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 + 3 + a**4 - 1 + (-2*a + 2*a - 2*a)*(-11*a**2 + 3*a**3 + 11*a**2) - 2*a**4 - a**4 + 4*a**4 + 4*a**4 - 7*a**3 + 7*a**3.\nAnswer: a**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*v + 5*d, 2*v + 1 = -4*d + 15. Suppose v*a - 4*w = 107, -a - 2*w - 3*w + 33 = 0. Let f be 1*-4 + (a - 7). Which is smaller: f or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 521\/3, 5, -1\/5, -5 in ascending order.\nAnswer: -5, -1\/5, 4, 5, 521\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.47 in -3\/2, -6.653, 2\/13, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35457 is divided by 5749.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*h + 3*h. Are h and -4\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 2:54 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -1, 199, 39?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1644\/7535 + 8\/44. Put -0.2, 0.059, 2\/7, g, 1 in ascending order.\nAnswer: -0.2, 0.059, 2\/7, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400\/3 + 2\/3*a**4 - 8\/3*a**3 - 18*a**2 + 140\/3*a = 0. What is a?\nAnswer: -4, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*d + 14, 4*h - 8*h = 2*d - 16. Solve 2*v - v = -h*t - 9, 4*t = -2*v - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2755 + 2473. Suppose -m = -2*i + 7172. What is i rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 46962*t - 46962*t - 2*t**2. Let y(k) = 6674*k. What is y(p(x))?\nAnswer: -13348*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 10:14 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/1357 (b) -163 (c) 176 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -3 + (3 - -4). Suppose 0 = a*l - 31 + 106. Is l smaller than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 0)*(0 - (0 - 2)). Let x be (t - 0)\/(10\/(-15)). Let j(b) = -b**3 - 5*b**2 + b - 6. Let a be j(x). Calculate the greatest common factor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w - 12. Let c be 2\/10 - 56\/(-20). Let v be y(c). Solve 7*h = -v*h + 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-46)\/11 + (-10)\/(-605)*11. Is 11 a factor of (-287)\/k - (-3)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1042 is divided by 286?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-512)\/(-5) - 2\/5*1 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, p: 2, s: 1, h: 1}. What is prob of sequence pl?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8149640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, t: 9, e: 4}. Give prob of sequence tlll.\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -7*i + 3*i. Put 5, -0.2, i in descending order.\nAnswer: 5, i, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3237 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 e when two letters picked without replacement from {e: 1, x: 1, a: 1, c: 1, w: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - 3*u**2 + 0*u**2)*(6*u**2 + 6*u**2 + 0*u**2) - 3*u**4 + 2*u**4 + 2*u**4.\nAnswer: 13*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a*c*l + 76*a*c + 2*a*l - 4566*a + c*l - 1331*c - 3901 wrt a.\nAnswer: c*l + 76*c + 2*l - 4566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 5:34 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 900728211 to the nearest integer?\nAnswer: 30012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46658874 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + -4 + (sqrt(1900) - (sqrt(1900) + (sqrt(1900) - 1*sqrt(1900)))) + sqrt(1900) + (-1 + sqrt(1900))*-2 + -4*(sqrt(1900)*1)**2) + 0.\nAnswer: 30*sqrt(19) + 22812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) -62\/171 (c) -2 (d) 2\/7 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -956*m + 4*y = -953*m - 209923, 279908 = 4*m - 4*y. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.02, -2, 5, 4, -68?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.4, 0.3, -2\/47?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9*y + 51. Give z(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/3*3\/2 + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n**2*p**3*s + n**2*s + 19*n*p**2*s - 85*n*s wrt p?\nAnswer: 6*n**2*p**2*s + 38*n*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 308 divided by 3.\nAnswer: 308\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164\/(88\/(-132)*4\/(-2)) is divided by 57?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**6 + v**5 - v**3. Let l(s) = 7*s**6 - 5*s**5 + 52*s**3 + 37*s**2 - 2. Let a(w) = -l(w) - 5*p(w). What is the third derivative of a(g) wrt g?\nAnswer: -240*g**3 - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 0*a**2 + 2*a**2)*(2646*a**2 - 1124183 + 1124183) as t*a + y + j*a**3 + x*a**4 + l*a**2 and give x.\nAnswer: 5292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 m when three letters picked without replacement from mftwmfmktm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*x - 21 = -65*x, -3*o = -5*x - 128935. List the prime factors of o.\nAnswer: 2, 3, 5, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 283077 and 852?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3170 - -41212\/13. What is the fifth biggest value in 0, -0.2, 0.2, -0.5, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3437404*s. Let p(t) = 2*t. Give p(x(h)).\nAnswer: -6874808*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10, -23, -34, -43, -50, -55, -58?\n\"Answer: q**2 - 16*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llmmqllul. What is prob of picking 1 m and 1 u?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192 and 96.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 + 25*u - 83. Determine h(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 201709, 5\/7, -0.2?\nAnswer: 201709","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 = 11*s - 106*s + 226. Let q be (-6)\/15*(0 - 5). Solve 0 = s*j - q*j + 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -980, -2711, -5202, -8453, -12464, -17235, -22766?\n\"Answer: -380*a**2 - 591*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 216\/126 - 2\/(-7) - -234. Let t = i + -223. Solve -8*d + 3*d = 4*g + t, -g = -4*d - 23 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4))\/((-8)\/2528). What is the remainder when 79 is divided by (-6)\/(-9) - d\/6?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 4) + 2 - 31\/(868\/(-192)).\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7798460, 7798498, 7798536?\n\"Answer: 38*w + 7798422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63722000 rounded to the nearest one hundred thousand?\nAnswer: 63700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 n when three letters picked without replacement from qqqqqqqaqqqqnqqiniq.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -607 + 12137\/20. Calculate the common denominator of g and -57\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 + 25*t - 158. Let q be j(-13). Solve q*m - 204 = -10*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**3 - 48*n**2 + 3*n - 16. Let m be s(12). Solve -2*t - u - 4 = 0, t + 8*u - 3*u = -m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 1087, 3706, 8807, 17218?\nAnswer: 29767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**5\/30 - r**4\/24 - 65*r**3\/2 - 17*r**2 - 3*r. Let k(b) be the first derivative of c(b). Calculate k(-6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((105\/7)\/(-195))\/(((-10)\/(-4))\/(-5)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13561 + -9290. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 6*a + 6. Let r be m(7). Solve 5*w + 1 = -g - r, g = 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-11)\/33)\/((14\/(-24))\/7). Suppose n*a + 16 = -7*v + 3*v, 5*a - 5*v = 30. Let u be (-246)\/(-22) + (-18)\/99 + a. Solve -5*f - 2 = -u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2811\/(-36)*-3 - 2\/8. Suppose 4*u - 30 = s. Let z = u - -9. Calculate the remainder when z is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + 7891774.2.\nAnswer: 7891731.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -16. Suppose -d + 4*d = a. Let n(x) = -3*x**2 + 3*x - 2. Give n(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a, n - a - 1201 - 324 = 0. Suppose -6*v + 3*r + n = -2*v, -4*v = -r - 1519. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 33*m**2 - 7*m + 278. Let v be j(33). What is the third biggest value in v, 4, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1186126 and 0.2?\nAnswer: 237225.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 2*r**2 + 5*r + 5. Calculate p(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9480 and 60.\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -36. Put -0.5, s, -15\/11 in decreasing order.\nAnswer: -0.5, -15\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 32, 32, 40, 62, 104, 172, 272, 410?\n\"Answer: s**3 - 2*s**2 - s + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1923597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 7*k - 3*k + 24, 4*k = -5*s - 26. Let o = -2 + -3. Let z = 0.11 + 3.89. Put z, o, s in decreasing order.\nAnswer: z, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15015 from -1.\nAnswer: -15016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 1:39 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 20*s - 61. Let f be y(-16). Let d(q) be the third derivative of 0*q + 0 + 5\/24*q**4 - 13*q**2 + 0*q**f. Let b(k) = -7*k. Give d(b(m)).\nAnswer: -35*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**5\/120 - y**4\/3 + y**3\/3 + y**2. Let u(q) be the first derivative of v(q). Let j be u(-8). Solve j*b + 5 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*h*i**2 - 91*h*i - 135*i**2 - 6*i wrt h?\nAnswer: 3*i**2 - 91*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)\/(sqrt(20)\/sqrt(2)) + sqrt(153)*-4)*3*4)**2.\nAnswer: 296208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12a + -497d69?\nAnswer: -497e94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 170881.5 decades in years?\nAnswer: 1708815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00540626 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-155)\/(-15) - 1\/3. Let h(s) = -s**3 + 9*s**2 + 11*s - 3. Let u be h(o). Let l = u - -13. Calculate the remainder when 39 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2128859 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 14, 0.4, 0.02, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3, -0.2712119, 2 in descending order.\nAnswer: 3, 2, 0.4, -0.2712119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 3*w - 142 = -160, 4*d + 40*w + 332 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-29*17\/(-493))\/((-9)\/(-2) + 0). Which is the third smallest value? (a) r (b) 0.03085 (c) 2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -4*l**5\/5 + l**4 + 4*l**3\/3 - 2*l**2 + 2. Determine m so that f(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 695, 0.4, 0.6.\nAnswer: 0.4, 0.5, 0.6, 695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + 49374\/15 + (-48)\/80?\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.65 - 0.15. Let p = k - -0.5. Is 2 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2681990 by 5.\nAnswer: 536398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 398439120 and 1102?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23, -36, -49?\n\"Answer: -13*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29062336 and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6*1)\/(65\/(-34) + (604 - 602)).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**4\/(v*v**5))\/(v**0*v)**(-44))\/((v**6\/v*v)\/v**(-4))**(4\/27) assuming v is positive.\nAnswer: v**(1094\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -27380 divided by -2?\nAnswer: 13690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)\/j**(-2\/11))\/(j**(-1\/4))**(25\/3) assuming j is positive.\nAnswer: j**(35\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7648.2416 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 61511 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: Solve 5*c = -3*s - 24, c - 3*s - s = 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12668187 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10047, 10050, 10055, 10062?\n\"Answer: p**2 + 10046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 3*c + 36, -6*c - 20 = -9*c - 4*t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009136 to seven decimal places.\nAnswer: 0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 20655*s**4 + 20686*s**4 + s - 2*s + 9*s**2 + 2 - 2 in the form v*s**3 + z + x*s**4 + t*s + k*s**2 and give x.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qeeeqqqqqqeeq.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 2*r + 1228 - 299, -5*p + 947 = -4*r. Find the second derivative of -91*o - 13*o**2 + 42*o - p*o - 12 + 12 wrt o.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 301 and 24654?\nAnswer: 1060122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*g + 56 = 0, 0*g - 116 = -5*h + g. Suppose 59*v - 135 = -2*u + 54*v, v = -1. What is the remainder when u is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28\/33953 or -1?\nAnswer: -28\/33953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 75*a**2 - a - 1. Calculate h(-1).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 2. Let t be p(0). Suppose 4*o - 4 = t*o. Calculate the lowest common multiple of 18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1015, 2247, 4289, 7141, 10803, 15275, 20557?\n\"Answer: 405*m**2 + 17*m + 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.65715 times 58?\nAnswer: -38.1147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 3*w + 34 - 44, -2*w = -4*m + 8. Solve 0 = 4*v - m*s - 26, 37 = -v + 9*v + s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2. Let m(z) = -157*z**2. Give t(m(j)).\nAnswer: -24649*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9989 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1552783 times -0.192?\nAnswer: 298134.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 + 41.1828. Let n = l - -112.9172. What is n rounded to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**7\/147 + 4*i**6\/35 - 9*i**5\/35 - 164*i**4\/21 + 219*i**3\/7 - 324*i**2\/7 + 305*i. Suppose b(q) = 0. Calculate q.\nAnswer: -9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/322 and -17\/1288.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 7:57 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/11, -132, 13, 4, 48?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3550587 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2\/5 - 288*p\/5 - 58 = 0.\nAnswer: -1, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3096 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggrnrggsggusgnrg. Give prob of picking 2 s.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-80161981.\nAnswer: -80161981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1528 and -127\/9591708.\nAnswer: 3664032456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1386282 is divided by 3573.\nAnswer: 3531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 - 4961*j + 4961*j - 104*j**2.\nAnswer: -108*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-22) - (-20709)\/99. Suppose -61 + w = f. Let v = f - 80. Calculate the highest common divisor of v and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 8*w**3 + 29*w**2 + 60*w - 16. Let m(k) = -7*k**3 - 28*k**2 - 59*k + 17. Let t(b) = -7*m(b) - 6*y(b). What is the tens digit of t(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4244295 divided by 1414765.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 2*d - 1. Let c(f) = -2*f**2 - 4*f + 2. Let k(s) = -6*c(s) - 11*g(s). What are the prime factors of k(-5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2213, 4444, 6649, 8816, 10933?\n\"Answer: -2*x**3 - x**2 + 2248*x - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 2456*b - 753992.\nAnswer: -2*(b + 614)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 4. Let t be l(6). Let g be -2*(1 - t) - 0. Let c = 5 - -5. What is the highest common factor of c and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622690.\nAnswer: 2, 5, 73, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 3 (c) -47 (d) 1\/5 (e) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.212 + 0.2120331. Round w to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/42 and 5\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52861*p**2 + 70552*p**2 + 55298*p**2.\nAnswer: 178711*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -32. Suppose a = p - 1. Sort -5, p, 5.\nAnswer: -5, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 1\/90*o**5 - 1\/54*o**4 - 1\/27*o**3 + 1\/135*o**6 + 0 - o + 0*o**2. Factor q(f).\nAnswer: 2*f*(f - 1)*(f + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.63 - -5.08. Let f = 0.95 - d. What is the closest to 11 in 0.07, f, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50 or -54?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (3 + -5) - -10?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 e when three letters picked without replacement from tkgskeq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 361\/19)*35\/60*(0 + -9)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b. Let k(l) be the second derivative of l**4\/6 - 23*l**3\/2 + 21*l. Give u(k(w)).\nAnswer: 4*w**2 - 138*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12953290 and 13926.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 0 = 3*s - 264, 0 = x - 16*s + 20*s + 12 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258559461503 - 0.02.\nAnswer: 258559461502.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.1, -0.4, 39, -2\/11 in descending order.\nAnswer: 39, 0.1, -2\/11, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - 6*l**3 - 2 - 3*l**3 + 58*l**4 + 5*l**2 + 7*l**3 + 2*l**2 - 8*l**2 to y*l**3 + b*l**4 + s*l + n*l**2 + k and give b.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 1 + 1)*(3 + 7 - 6 + (2 + 3 - 1)*(6 + 0 - 2)).\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**3 + 304*p**2 - 3 - 307*p**2 + 2 to r*p**2 + c*p + o + w*p**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -10. Solve t*k - k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -2\/9 (b) 8 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 4:40 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 120?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -700, -696, -682, -652, -600, -520, -406?\n\"Answer: r**3 - r**2 - 700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 5*b)*(2 - 4 + 4)*(154 - 196 - 2622) in the form y*b + t and give y.\nAnswer: -26640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 10*t + 8. Determine s(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/13, -24, 13, -4, -0.11, -3\/8, -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 9 + 47 = 0. Suppose 0 = -4*c + 2*u, -2*c - 3*u = c. Solve 2*g + g - 4*n - i = c, -3*n + 11 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 829 = u + 252, 3*y - 355 = -5*u. What is the remainder when y is divided by (-410)\/(-14) + (-10)\/35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (3*2 - (1720 - 15)). Suppose -3434 = -2*i - 2*c, i - c + 6*c - t = 0. What are the prime factors of i?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 13\/6 (c) 1\/1717\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150290.2107 milliseconds to weeks.\nAnswer: 0.00024849571875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 21.1. Which is the third smallest value? (a) v (b) -0.3 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 4*t + 14, -24*j + 20*j = -4*t - 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3 - -0.3. Let p = -1.2 - v. Let l = 124.55 - 127.55. Which is the second smallest value? (a) -0.5 (b) p (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 18 + 3 + (1 - 15).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-268)\/(-88) - 3). Let l = 25 + z. Solve -5*b - 16 = l*m, 2*m + 3*m + 3*b = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/127)\/(f**(-9)*f) assuming f is positive.\nAnswer: f**(1014\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20995665 and 76872?\nAnswer: 9609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q. Let z(p) = p**2 - 4*p. Let d(v) = 3*v**2 - 15*v. Suppose 4*w - o - 3 - 17 = 0, -2*o = w + 4. Let n(y) = w*d(y) - 15*z(y). What is n(s(k))?\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 87 = 3*o, 77 = -2281*o + 2276*o - 4*r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z + 2. Let i(u) be the first derivative of 9*u**2\/2 - 4*u + 17. Give -2*i(a) - 5*o(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -173011, -692063, -1557151, -2768275, -4325435, -6228631?\n\"Answer: -173018*x**2 + 2*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749415 at most 1749594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 93247 < 2144703\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 124 = 3*u - c, -c + 44 = u. What is the greatest common divisor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -159 + 250. Calculate the greatest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119 + -91 + -1 + -7.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -675 + -31?\nAnswer: -6a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*i - i. Let k = i + 26. Let m be 1\/(-4) - (-9)\/36. Which is greater: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/166648 and -40\/37?\nAnswer: 166648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1480 by 4.\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -25*r**3 - r**2 - 10*r - 11. Let h(n) = -5*n**3 - 2*n - 2. Give 11*h(z) - 2*p(z).\nAnswer: -5*z**3 + 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 213, 848, 1907, 3390, 5297?\nAnswer: 7628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -5. Suppose -z = t*z - 10. Solve 0*v + 4*v + z*g + 14 = 0, -3*v + 2*g = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111081129, 222162258, 333243387, 444324516, 555405645?\nAnswer: 666486774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*k*p*z**2 + 66*k*z**2 - 324*k*z - 6442*p**2 - 2*p*z**2 + 3*z**2 wrt p?\nAnswer: -6*k*z**2 - 12884*p - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-94)\/((-74448)\/484))\/(-11)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*u = 37*u + 9 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -53, -5, 200, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -522, -1044, -1566, -2088, -2610?\n\"Answer: -522*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12.8514213 and -4.2.\nAnswer: -17.0514213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n**3 + 3*n**2. Let u = -794 + 797. Let p(g) = 10*g**3 - 5*g**2. Give u*p(a) + 5*k(a).\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 512 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + 0*f + 3*f)*(2 + 1 - 2)*(-7 + f + 7) in the form x*f + g*f**2 + o and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 170824*s - 21. Let j(u) = 34165*u - 4. Let d(o) = 22*j(o) - 4*m(o). Let r be d(6). What is r rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.006 + 1.706. Let n be (-6)\/(-9) - 38\/(-6). Which is the nearest to 0.1? (a) n (b) -0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9654344 is divided by 411.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 102687643397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izi when three letters picked without replacement from rrigriwrrigzr.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26170.7 - -26171. Let a = -0.1 - -0.1. What is the third smallest value in -1\/2, -4, a, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 8*n**2 - 11*n + 8. Let v be g(9). Let q(r) = 41*r**2 - 12*r - 19. Is q(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -224?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 11100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1172122790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 6*r**2 + 4*r - 3. Let k be l(-4). Let c(j) = -4*j - 2. Let d be c(-3). Let q = d - 7. Solve -k + 1 = -q*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + -18. Is 4\/(-6)*v\/2 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 10*a. Let d(r) = -r**2 + 6*r - 6. Let y be d(4). Let g(l) = -6*l**2 - l**y + 11*l**2. What is w(g(n))?\nAnswer: 40*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2\/5*c**3 + 8 + 56\/5*c + 14\/5*c**2 = 0?\nAnswer: -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 2*q**3\/3 - 7*q**2\/2 - 7*q. What is the units digit of u(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -3*k + 3*z - 171, 2*k - 108 = -4*z. Calculate the remainder when k is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.5648328 and -3.\nAnswer: -4.5648328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10896740?\nAnswer: 2, 5, 544837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 651*l - 10 = -4*v + 654*l, 3*l + 20 = 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3464637053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 28*z**2 - 18 - 6*z**3 + 8)*(-3*z**2 + 3*z**2 + z**2).\nAnswer: -6*z**5 - 28*z**4 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -54?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2536017 is divided by 63.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -484.472 + 1151157\nAnswer: 1150672.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-154)\/33*6\/(-4). Let h(a) = 7 - a - d. Let j(b) = -5*b**2. What is j(h(n))?\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1088129 and -88\/105?\nAnswer: 16321935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5778 + 8849. Let p = 2027 - b. Round p to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91 - -203. Suppose c = 3*v - l, 2*l = -3*v - l + 108. Let h = 61 - v. What is the highest common factor of 168 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o**2. Let c(s) = s**2 - 4. Calculate c(z(b)).\nAnswer: 36*b**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38160 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 343 + 3?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 2*k**3 - 10)*(870*k + 948*k + 479*k) - 2*k**4 + 2*k**4 - 3*k**4 to i*k + c*k**3 + j*k**4 + w + a*k**2 and give j.\nAnswer: -4597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8324 divided by 2\nAnswer: 4162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1550555219 to the nearest integer?\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0493 and -3.\nAnswer: 0.1479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7))**(-44)\/((c\/c**(-4))\/c*(c*c\/(c*c**6)*c*c)\/c) assuming c is positive.\nAnswer: c**(-88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 272\/(-6)*99\/(-33) + 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2)*(2 + f - 2) + (-2*f + 0*f + 0*f)*(14 + 4 + 9) to l*f + c and give l.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2 + 2 - 148*g**2 + 156*g**2. Let q(j) = 4*j**2. Let s(i) = -i**2. Let r(w) = q(w) + 6*s(w). What is r(y(z))?\nAnswer: -128*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**4 - 29085*y**3 - 87282*y**2 - 12*y + 116376 = 0.\nAnswer: -2, 1, 9698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*-13*7\/(-910).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 - 11*j - 23. Suppose 10 = w - 4*t, t - 1 = -w - 4*t. Let m(z) = z**2 + 6*z + 12. Give w*y(v) + 11*m(v).\nAnswer: -v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 13 = -2*x - y, 5*y - 25 = -3*x. Suppose -4*t = -7*t + x. Solve 15 = -5*b - t*o, o + 19 = -b - 4*o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 2*o**2 - o + 1. Let w be u(2). Let i be -6*((-1)\/2)\/w. Suppose 2*y = -5*f + 11, -3*y - 3*f = f - 6. Sort -5, y, i in descending order.\nAnswer: y, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 650*i**2. Let y(c) = -795*c**2 - c + 5. Calculate y(d(m)).\nAnswer: -335887500*m**4 - 650*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10215 at most -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2898223630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -48*f - 23. List the prime factors of d(-2).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 5:26 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -86dc + 3a51?\nAnswer: -4b8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 117 + -57. What is the units digit of ((-4)\/(-5))\/(3\/x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2640 and 3469296.\nAnswer: 190811280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -345, -701, -1183, -1797?\nAnswer: -2549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) -932 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*g = -80*g + 46. Let t be g*6\/18 - 436\/(-6). Solve -53 = -4*k - t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13542.37 + -13486. Let i = -58 + z. Let a = -1.32 + i. Round a to 1 dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + sqrt(832) + -1 + (sqrt(832) - ((sqrt(832) - (sqrt(832)*-1 - sqrt(832))) + -2)) - (1 + 3 + sqrt(832)*1*2))**2.\nAnswer: 432*sqrt(13) + 7569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**2 + 6*n**3 - 4*n**2 - 3*n**3)*(20 - n + 6 + 3).\nAnswer: -3*n**4 + 86*n**3 + 29*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, a: 3, o: 2, p: 1}. What is prob of sequence ov?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 201459 to the power of 1\/2, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b + 26. Let i be k(11). Find x such that -x**2 + 42*x + i - 42*x = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000779673 to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -321.51, 61 in descending order.\nAnswer: 61, 12, -321.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -1d3a6?\nAnswer: -1d3a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 12303 = -a - 12297, -a - 2*y = 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35712089716957184 - 35712087982159880.9999667. Let r = l + -1734797452. Let o = r + 149. Round o to six decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0.1. Let t be (-2 - 43\/(-2))*2. Let x = -194\/5 + t. Which is the second smallest value? (a) r (b) x (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/243, 3, 2378, 6?\nAnswer: 1\/243","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + -115. Let o = -60 - d. Let g = -0.2 - -0.7. What is the third smallest value in o, 4\/5, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i + 61 = 6*i + 26 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1267.594 tonnes?\nAnswer: 1267594000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 779 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: Which is the closest to -4? (a) -1 (b) 92.3 (c) 81 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -43, -88, -133?\n\"Answer: -45*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - u - 8. Calculate the lowest common multiple of 14 and y(-4).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h**2 - 26*h. Calculate the smallest common multiple of 1314 and n(-3).\nAnswer: 5256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4\/5)*j*j)\/(j*j**4)*j\/(j**(14\/9)*j)*j*j*(j\/j**(-5))\/j*j*j)**27 assuming j is positive.\nAnswer: j**(492\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*n**2 - 72*n**2 + 13*n**3 - 25*n + 36*n**2 wrt n?\nAnswer: 78*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + p + 725 = -443, -5*h - 1460 = -p. Let f = h - -725. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 10) to base 6.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q**3 + 5*q + 6 - 21*q + 9*q + 13*q. Let r(k) = -k**3 + k + 1. Calculate -6*r(a) + y(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 11\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.87716 rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 1 - 1)*(-5 - 2 + 0) + 1 - 4 + 0)*(2*p**2 - 3 + 3) in the form y*p + a + o*p**2 and give o.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + k + 683*k**3 - 14*k**2 + 35*k**2 - 16*k**2 in the form b*k**3 + a*k + l + c*k**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - n = -43, 2*r = 4*r - n - 83. Calculate the remainder when r is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*u - 36 = u, -k - 10 = -4*u. Suppose -k*x - 7 = 2*j - x, 5*j - 35 = 5*x. Suppose 3*b = j*b - 62. List the prime factors of b.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, 797, 2 in ascending order.\nAnswer: 2, 84, 797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -15455094?\nAnswer: -15455093.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 35 (b) 0 (c) -1\/5 (d) 0.2032 (e) 62\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 114*u = -438, 90 = 1947*b - 1945*b - 2*u for b.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4\/13)*f\/f**(-41)*f*((f*((f**(-1)*f)\/f)\/f*f)\/f)\/(f*f*(f**(-1\/28)\/f)\/f*f) assuming f is positive.\nAnswer: f**(14825\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 19*x = -18*x - 9, 3*x - 13 = 2*q. Sort q, -4, 187 in increasing order.\nAnswer: -4, q, 187","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7099 - 0.08.\nAnswer: -0.7899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 7*q + 1. Let k be a(-8). What is the second derivative of 4*j**4 - 4*j**4 - k*j + 48*j**5 - 40*j**5 wrt j?\nAnswer: 160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 319*z**2 - 724*z + 28606. Give o(317).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*q - 74*q - 24 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 10:10 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-55) + 4329\/33. Find the second derivative of 2*p + 2 + 31*p**5 + 2*p + s*p**3 - 132*p**3 wrt p.\nAnswer: 620*p**3 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*973.434\nAnswer: -973.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(3840))\/(sqrt(90)\/(sqrt(27)\/sqrt(3)) + sqrt(10) + sqrt(10)))\/(sqrt(36)\/sqrt(300) + (sqrt(3) - sqrt(108)*1)).\nAnswer: -10*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -3 (c) -2\/245 (d) 5 (e) 22.5 (f) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/90*8\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66.6 at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6857846, 6857844, 6857842?\n\"Answer: -2*j + 6857848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 + -96. Let m = -22 - s. Calculate the remainder when 26 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 24 = 2*d, -2*a + 3*a - d = 15. 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 -21*((-98900)\/903)\/92?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 13. Let q be u(-8). Let l be (-2)\/10*-1*95\/q. Sort -0.3, l, -1\/2 in increasing order.\nAnswer: -1\/2, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.4, 2\/3 in ascending order.\nAnswer: -2, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3151367567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -265, 0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 36*d**3 - d**2 + 7*d - 5. Is r(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -440371*f**4*r - 61*f**3*r - 2*f**2 - 25*f*r + 46493*r wrt f?\nAnswer: -10568904*f*r - 366*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 342?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 19*p**3 - 27*p**2 - 2*p. Let k(h) = 56*h**3 - 81*h**2 - 7*h. Let l(v) = 2*k(v) - 7*u(v). Find the third derivative of l(s) wrt s.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29778, 60428, 91952, 124350, 157622, 191768?\nAnswer: 226788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b + 2*b - 4*b + 5 - b - 5 + (b - 4*b + 2*b)*(4 - 3 - 3))*(-2 + 0 - 5) + 2*b + 0*b - 6*b in the form i + f*b and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s**2. Let o(r) = -61*r**2 - 90*r. Determine o(f(z)).\nAnswer: -1525*z**4 + 450*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2 + 11*t + 21. Let x be i(-4). Suppose 0 = 2*r + x - 33. Let y be (-81)\/(-36) - (-1)\/r. Solve y*l + 3*l = 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -5*c + 4*c + 5, 8 = 3*c + a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 8*z**2 + 6*z + 5. Let x be l(-10). Suppose 4*q - 11 - x = 0. Find the third derivative of q*p**6 + 27*p**2 - 12*p**2 + 19*p**2 wrt p.\nAnswer: 4680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2640277 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*(-5)\/(40\/96*1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 143 times -0.04\nAnswer: -5.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3441719 or 3441718?\nAnswer: 3441718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -214982114?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-133)\/(-931)*(4*1)\/(-2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2. Let p(x) = -12*x**2 - 7*x + 9. Let z(f) = -6*f**2 - 3*f + 4. Let b(u) = 4*p(u) - 9*z(u). Give b(h) + 4*j(h).\nAnswer: 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23.2 - -23.20007374. Round q to six dps.\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.534795 to 3 decimal places.\nAnswer: -1.535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3360*f*h*w + 2*f + 5*h*w + 29*h - 18961898*w wrt h.\nAnswer: -3360*f*w + 5*w + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 31011241 (base 5) to base 16\nAnswer: 3d3c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 38) + (-16 - -11 - -15) + -3.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -2f4c?\nAnswer: 2f50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.620131 * -4\nAnswer: -2.480524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -24. Let s = -4 + j. Let d = 0 + s. Sort d, 0, 1.\nAnswer: 0, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -513, -498, -473, -438, -393, -338, -273?\n\"Answer: 5*d**2 - 518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -542*i - 585. What is o(-1)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((4\/(-12))\/(1\/(-186)))\/1. Let m = t - 7. What is the highest common factor of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3783145.3 + -1845183\nAnswer: -5628328.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*b + 360 = 0, q = -2*b + 67 + 14. Suppose -q*d + 71*d = -312. Suppose -7*r + 6 = -d. Solve -4*z = 20, 2*x - 2*z = -0*z + r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -9*p + 75. Let j be d(9). Let a = -3 - j. Factor 2\/9*m - 2\/9*m**5 + 4\/9*m**2 + 0*m**a + 0 - 4\/9*m**4.\nAnswer: -2*m*(m - 1)*(m + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 29*b**2 - 175*b - 212. Determine u(-34).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95 * -1.2.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 3*z + 2. Let n be c(-1). Let y(p) be the second derivative of -p**2 + 0*p**3 + n + 0*p**4 - 1\/20*p**5 - 2*p. Differentiate y(h) wrt h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 + -28. Suppose -5*q = -11*q + i. Suppose q*k = -2*k - 12. Which is greater: k or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15320 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34*c**4 + c**2*x + 7*c + 218*x wrt c?\nAnswer: -136*c**3 + 2*c*x + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*h**2 + 3432 - 101 - 89*h**2 + 709.\nAnswer: -54*h**2 + 4040","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -939, -926, -909, -888, -863, -834?\n\"Answer: 2*q**2 + 7*q - 948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -111\/2*a + 60*a**2 - 9\/2.\nAnswer: 3*(a - 1)*(40*a + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2 + 304\/480.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + -1 + (-25 - -19)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.11272, 0, -16.\nAnswer: -16, -0.5, 0, 0.11272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 8:05 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 119, 181?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103311333320 - 20?\nAnswer: -103311333340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**7\/42 + r**3\/6 - 7*r. Find the second derivative of m(x) wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n - 1243 + 5*n + 1266 + 0*n - 2*n + 3*n + (-n + 6*n - 2*n)*(-4 + 1 - 1))*(1 + 2*n**4 - 1).\nAnswer: -26*n**5 + 46*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 38, 45, 54, 65, 78, 93, 110?\n\"Answer: i**2 + 4*i + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -9. Let q be ((-519)\/6 + 2)*n. What is the units digit of (-6)\/36 + q\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-29610)\/1232*(-3 - 377\/3). Let x = a + -3092. What is the common denominator of x and 23\/32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*j + 393 = 33*j - 471 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**4\/4 + 993*d**3\/2 + 13869*d**2\/4 + 7919*d + 5937 = 0.\nAnswer: -1979, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -36. Let z = 0 + 3. What is the second smallest value in o, 3\/4, z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1123, -2486, -4075, -5896, -7955?\nAnswer: -10258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12753\/(-436)*30\/(-65)*2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*k + 3 + (3 - 3 - 1)*(-786*k + 1906 - 1906).\nAnswer: 784*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 3*m - 410, -2*m = 3*g - 2*g - 69. Let r = 307 + -267. What is the remainder when g is divided by r?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-6) - 84\/(-63).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 677 - 438 = 86*z - 449 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 20439769\nAnswer: -10219884.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (427 + 1 + -2)*(1\/(-12))\/((-5476)\/(-10952))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/24 and -17\/57.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*f - 2176 = -71*f + 64*f for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8931 - -8943. Calculate the least common multiple of 2907 and s.\nAnswer: 11628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*1*(-2)\/(36\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4302 is divided by 191?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1662629*d*m + 2738*d - 6 wrt m.\nAnswer: 1662629*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 6 - 0, 0 = -2*n - 3*x + 7. Let w be 6\/18 + 5\/3. Let y = w + n. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 3 + 15. Let x(z) = 2*z**3 - 4*z**2 + 4. Let l be x(2). Let q(g) = -7 - 1 - g**2 - 6*g - 3 + l. What is q(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/3 - 226060*l - 678183.\nAnswer: (l - 678183)*(l + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**2 - 3*d - 2. Calculate g(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 142283592 a multiple of 2504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -69*f - 71*f + 132*f + 17. Let y be z(2). Solve 0 = -2*r + r + y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 16 = -4*d - 46, o - 24 = -5*d. What is the units digit of 6\/(-2) - o*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five halves of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006169 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 308.82 + -309.82. Suppose -4*l - 20 = 0, -w - l = 6 - 16. Which is the nearest to h? (a) -4 (b) -1\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5804546, -11609081, -17413616, -23218151?\nAnswer: -29022686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12496 is divided by 4163.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2846, 5692, 8538, 11384, 14230?\n\"Answer: 2846*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 95*n**4\/24 + 31*n**3\/2 + 11*n**2 + 2. What is the first derivative of q(k) wrt k?\nAnswer: 95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d - 273 - 387. Let k be 33\/d*25*1\/(-6). What is n in 5\/4*n + 0 - k*n**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**6\/40 - p**5\/12 - 5*p**4\/24 + 5*p**3\/6 - 13*p**2. Let h(r) = 3*r**3 - 4*r**2 - 4*r + 4. Determine -4*f(q) + 5*h(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/((-255)\/20))\/((-18)\/(-3))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 0. Suppose -t*d + 17 = 2*k, -k = k - 8. Suppose -a = -d - 5. What is the remainder when 14 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) 11.753 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*c + 7*c - 3*c**2 + 0*c**2)*(1 + 2*c + 4*c - 5*c) to the form h + q*c**2 + o*c + p*c**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2166564\/57 + 58\/551.\nAnswer: 2, 3, 5, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 equal to 16297\/3746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*u + 6, -2*u - 4*z = u + 5. Sort u, -6, 3, -2 in decreasing order.\nAnswer: 3, u, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7301\/4 - 1825. What is the nearest to 1\/3 in 1\/7, 0.4, r, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 50587571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o + 16. Let c be l(6). Suppose 5*v - 51 = c*x, 5*x + 38 = 5*v - 12. Suppose 16*a = v*a + 55. Calculate the remainder when 32 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1611, 1674, 1737?\n\"Answer: 63*o + 1548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 120*s - 1646. Give r(16).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 136*f - 114*f + 44. Let v = 71.522 + -0.522. Is f <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22365, 22835, 23305, 23775, 24245, 24715?\nAnswer: 25185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8356, -8351, -8344, -8335, -8324, -8311, -8296?\nAnswer: -8279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 9019.90741 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhnhhn. Give prob of sequence nnh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + 3 + 96 + (70 - 57 - 62)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 12*j + 3. Let t be b(12). Suppose t*s - 7*s = -160. What is the remainder when 78 is divided by s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -656102391*t**2 - 816746815*t.\nAnswer: -1312204782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrdpmrmvkmrkddmkk. Give prob of picking 1 r and 1 p.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*h**3 - 13*h**2 + 0 - 105\/2*h.\nAnswer: -h*(h + 5)*(h + 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + h**2 - 351*h - 1373. Determine g(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7949 + -580317\/73. Is 0 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -65*q + 5. Let c be s(8). Let t = 895 + c. Suppose -4*n - n = -t. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -2\/69 (b) -0.2 (c) 3\/2062\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1727*v**2 + 2*v + 3194 wrt v.\nAnswer: 3454*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.72 + 5.6714. What is c rounded to 3 dps?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + 3.8. Let j = l + -9. Let g = 2.078 - 1.878. Sort 5\/2, j, g.\nAnswer: j, g, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 697796?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.0591 and -0.4.\nAnswer: 0.42364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*i - 41*i + c = -10, 5*c = -20 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(260)*-1*-4)\/(sqrt(55)\/(sqrt(33)\/sqrt(3) + sqrt(11) + sqrt(11) + sqrt(11))))\/(2*sqrt(2304)*-6).\nAnswer: -sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwu when three letters picked without replacement from {u: 1, w: 1, z: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2531 + -5851. Let n = x + 2104. What is the tens digit of (1\/4)\/((-16)\/n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6143151169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45721 is divided by 897.\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -29. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3381493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/8 and -4\/227.\nAnswer: 1816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2886*b**3 + 2981*b**3 - 6049*b**3.\nAnswer: -182*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4 + 1 = 0. Suppose -1 = -n + j. Suppose 0 = 3*d - 3*w - 21, -2*d = d + n*w - 41. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 210 - 5?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4013, 3963, 3913, 3863, 3813?\nAnswer: 3763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1160\/403 + 37\/13. Is q at least -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 13 (b) -1\/7 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 871 + 1685 = -10244*r + 10173*r for r.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**4\/3 - 674*j**3\/3 + 12228*j**2 + 943880*j\/3 + 5076400\/3 = 0 for j.\nAnswer: -10, 98, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 8*f**2 - 6*f - 5. Let b be x(7). Find the third derivative of 17*q**2 - 35*q**b + 30*q**2 + 16*q**3 wrt q.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -35, 0 = -3*a + 31*b - 27*b + 266. Solve -2*n + a*q - 97*q = 0, 4*n + 4*q + 24 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + (-4 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -3. Suppose -2*w + 3*h + 10 = 0, -4*w - 2*h + 3*h = m. What is the third smallest value in -0.5, w, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*n**3 - 69 - 205\/2*n - 33*n**2.\nAnswer: (n - 69)*(n + 1)*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -23*x**5\/120 - 3*x**4\/4 - 25*x**3\/3 - 4. Let f(j) be the third derivative of b(j). Differentiate f(m) wrt m.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1372175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 3, 4, -6.\nAnswer: -6, -2, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -381690, -763432, -1145174, -1526916?\nAnswer: -1908658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -20. Let t be 30\/z*6\/(-4). Suppose 3*a - 24 = -y + 67, -t*a + 147 = 4*y. Calculate the remainder when 90 is divided by a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiiiqqiliqilqiqq. What is prob of sequence qqlq?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 3*d + 1. Let p be i(5). Suppose 4*v - 34 = 3*v - 3*g, -v + g = -18. Is v*(p\/(-6) - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 27. Let n(y) = -28. What is 3*n(j) + 4*o(j)?\nAnswer: -4*j + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (4 - (-4 - (-3 - -2))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 55 + 55)*(2 - 1 + 0).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.06 - 1.16. What is the closest to y in 1, 0.2, -2.27?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -113 + 52?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -205*n + n**4 + 3*n**2 + 7 + 12*n**4 + 207*n + (-32*n**2 + 32*n**2 + 4*n**4)*(6 + 6 - 6) to h*n**2 + a*n**4 + t + m*n + y*n**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 564142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29938 = 51*x - 539887. Calculate the highest common divisor of 198 and x.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 - 25. Suppose 4*o - d = 4*m + 20, -5 = -5*o. What is m rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47055723 + 3*m + 23527919 + 23527804.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -5, -214 in descending order.\nAnswer: 4, -4, -5, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = j + 9559990, 5*j + 4*v - 9560020 = 6*j. What is j rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/409248 and -115\/56?\nAnswer: 409248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5390, 10754, 16114, 21470?\n\"Answer: -2*r**2 + 5370*r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 10*t = -11*t + 1, 5*i - t + 8 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2\/u)**36*u\/(u*u**(2\/7))*u*u**7 assuming u is positive.\nAnswer: u**(306\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 2*o - 91, o - 77 = -4*u - 2*o. Let b = u + 4. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17\/4 or 3176?\nAnswer: 3176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90*x**3 + x**2 - 2104 wrt x.\nAnswer: 270*x**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a week in seconds?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.827 * -1045\nAnswer: -1909.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/15 and -59\/168.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -352, -561, -792, -1045?\nAnswer: -1320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-165 - 237 + 214)*(2*n - 2*n - 2*n) + n - 2 + 6*n - 8*n in the form h*n + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 1.3969\nAnswer: 4.1907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 4*r**2 + 2. Let s be j(4). Suppose s*b - 22 = 10. What is the smallest common multiple of 22 and b?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 0.42 (b) -0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 116 = 4*l, 3*l + 5*t - 58 = -0*t. Let z = l + -23. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 13925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 384212227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -938*i*x**2 + 132*i*x - 76276928*i - x**2 + 2*x with respect to x.\nAnswer: -1876*i*x + 132*i - 2*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104805 divided by 15.\nAnswer: 6987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -3, 2\/9, 1, -1\/14, -0.032?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 2*g - 1. Let v be s(-3). Suppose 3*r - 2*r = -5*p - 1, v*r + 2*p = 14. Calculate the common denominator of (97\/(-6))\/(r\/(-9)) and 43\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1617 and -37\/1617?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1712, 3, -41, 5, -17 in increasing order.\nAnswer: -41, -17, 3, 5, 1712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*h**3*n**3 + 911689*h**3 - 6*n**3 + 92*n**2 - 11*n wrt h.\nAnswer: -24*h**2*n**3 + 2735067*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 2*c - 24. Suppose -c*u - 28476 = -24*u. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - -11)*-3*1. Let i be ((-10)\/d)\/(2\/(-21)). Which is the smallest value? (a) 2 (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2016) + (sqrt(2016) - -2*sqrt(2016))) - sqrt(2016) - (sqrt(2016)*-1*-3 - sqrt(2016)))\/((sqrt(80)*1*2)\/(sqrt(1000)*1)).\nAnswer: -330*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116 (base 9) to base 8.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-23 - -7) - (-15240)\/(-660).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/1463352 and -25\/78?\nAnswer: 19023576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l - 63. Let o be d(20). Let n = -1359\/536 - 6\/67. Which is smaller: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -18*y + 8*y + 11*y - 4*y. Let z(q) = -12*q**2 + 27*q + 27. Let o(t) = t**2 - 2*t - 2. Let u(i) = -54*o(i) - 4*z(i). Give u(b(f)).\nAnswer: -54*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27958?\nAnswer: 2, 7, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 69*l**3 + 109*l**2 + 5*l + 10. Let p(h) = -70*h**3 - 108*h**2 - 4*h - 8. Let r(z) = 5*p(z) + 4*x(z). Find the third derivative of r(b) wrt b.\nAnswer: -444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6472*f - 119 = 6455*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4816718 and -0.4.\nAnswer: 1926687.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2949*o = -2936*o - 26 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 27528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49881905 divided by 5.\nAnswer: -9976381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g - 1. Suppose -14*h + 17*h + 6 = -3*m, h = -5*m - 18. Let u(y) be the second derivative of -y**h + 0 - y - 2\/3*y**3. What is -8*c(p) + 5*u(p)?\nAnswer: 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*h = -0*h - 493, 1479 = 3*x - 5*h. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 6*g - 4*a = 0, -212*g + 208*g = a - 0*a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 165 - -18643?\nAnswer: 187a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (31\/((-403)\/130))\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 13*p**4 + 78128*p**3 + 1 + 0*p**2 - 78129*p**3 in the form j*p**3 + y*p**4 + i + u*p**2 + s*p and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 442\/182 + 8\/14. Let i be (203\/f)\/((-11)\/(-33)). What is the greatest common divisor of 58 and i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**7\/420 + 7*o**4\/24 + 7*o**3\/6 - 5*o**2. Let x(i) be the first derivative of z(i). What is the derivative of x(j) wrt j?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185400 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6887 and -0.5.\nAnswer: -3443.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 374 and 884?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**4\/12 - 7*f**3\/6 + 5*f**2\/2 + 2*f + 13. Calculate o(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + 14)\/((-5)\/165*-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10106520 (base 8) in base 9?\nAnswer: -4011334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -4*s - 42. Let n be (17 - 1) + 0\/1. Let d = n - s. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 4*w - 4. Let n(o) be the third derivative of -3\/8*o**4 + 3\/2*o**3 + 0*o + 1\/30*o**5 + 0 + 11*o**2. Give -9*k(d) - 4*n(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minus 9475.737071?\nAnswer: -9466.737071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18751.83646 - -18752. What is j rounded to 3 decimal places?\nAnswer: 0.164","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from gjegjmgmgjgjgmj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1086.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 4. Suppose 0*v + 8 = 2*v. Let t be (-23)\/20 + v\/10. Put t, -3, p in ascending order.\nAnswer: -3, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 plus -18485530448?\nAnswer: -18485530446.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, l: 1, h: 8, t: 5}. What is prob of sequence ll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 + -38921441.\nAnswer: -38921440.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 106, 162, 218, 274?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/84 + (-131)\/(-7). Let v(l) = -l**2 + 17*l + 50. Let u be v(q). Let c be -1 + (6 - 3 - 2). Solve c = -5*f - 13 - u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 12469077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 8 = -4*t, -21*t = -19*t - 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 141?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 14, 25, 40, 59?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p - 3. Let n be u(-5). Suppose n*h - 20 = 3*h. Let r(o) = o - 3. Let w(q) = q - 4. Let x(d) = -2*r(d) + 3*w(d). Calculate x(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505442?\nAnswer: 2, 7, 79, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 105216.54296 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -22. Let j(n) be the first derivative of 3*n**2\/2 + n + 2. What is j(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66990 divided by -11165\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnhnnnnnnnhn.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 10, h: 2}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**3 + 6 - 1 - 232441*k**2 + 232406*k**2 + 0 + 2*k to the form d*k + j*k**2 + y + p*k**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.15 - -12.05. Let k = -15.04 + t. Let x = k - -1.8171. Round x to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23805 is divided by 466.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*d + 0 - 1 + d**2 + 33*d + 2*d**3 - 12*d to t*d**3 + u*d**2 + r*d + j and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24266 = -71*f + 60*f. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/72 and 57\/64?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150728 is divided by 59?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - 42\/(-9))\/(3\/9). Suppose 8 = -3*d - 4*t, 4*t = -f*d + 4 - 16. Solve -z + d*z = 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -3, 1672, -6 in ascending order.\nAnswer: -6, -3, 1, 5, 1672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11021 (base 11) to base 7.\nAnswer: -64430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2484 and 5428.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 79*l**2 + 2*l. What is the tens digit of j(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20800803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1382072 and 38?\nAnswer: 5.2518736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + sqrt(1300) + 2*(sqrt(1300) + 2) + 3 + sqrt(1053) + 2 + 3)*-1)**2.\nAnswer: 11934*sqrt(13) + 180558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-3) - 1)*(-162)\/(-90).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**6*c*c**(4\/9)\/c)**(-47) assuming c is positive.\nAnswer: c**(1504\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -4*w - 8. Find the second derivative of -15*k + k - 66*k**4 + 160*k - 94*k**w wrt k.\nAnswer: -1920*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15121022 (base 6) to base 7\nAnswer: -4311104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - ((0 - -4) + -16). Let g = -17 + j. Let d(l) = -l + 1. Let a(c) = c + 1. What is g*d(z) - 2*a(z)?\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -844.2 - -844.6. Let t = -1 + 0.7. Let u = -17 - -15. Sort u, b, 0.5, t.\nAnswer: u, t, b, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131751875 is divided by 179.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9409 is divided by 9338?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77 - -83. Suppose x + 0 - 2 = 0. What is the remainder when d is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51292944 by 247792.\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**4\/24 + v**3 + 9*v**2. Calculate the least common multiple of j(0) and 13 - (-4)\/(-20)*5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 24*b**2 - 66*b - 16. Calculate p(-21).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1695 by 339.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**5 + 0*p**5 - 9 + 3*p**5)*(1 + 2 - 1).\nAnswer: 2*p**5 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -35981, -287810, -971339, -2302418, -4496897, -7770626, -12339455, -18419234?\n\"Answer: -35975*u**3 - 4*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 267 = -14*n - 3*c, 3*c = -3*n + 789. Is n a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 69121 from 3.\nAnswer: -69118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -1) + 3 - -3. Suppose v*y - 15 = y. Suppose 10 = -a - y*j, -5*a = -5*j + 2*j - 22. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 8*o**2 - 6*o + 142. Give w(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.064 + 69.936. Which is the third smallest value? (a) m (b) 0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -522.315+31952.414\nAnswer: 31430.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1420.94 + 1470. Let v = x - 48. What is v rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**2 + 0*t**4 + 0*t + 0 - 1\/90*t**5 + 0*t**3 - 1\/180*t**6. Find k such that v(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*0*1\/3. Suppose j + 0*j = z. Solve d = -d - 2*t + 2, t - 2 = j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.05 + -1. Let o = -134825\/7 + 19261. Which is the closest to -1? (a) -4 (b) n (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67805 divided by 13561.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46064?\nAnswer: 2, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67 + -25 - 49 - -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 4 - (170 + -168) - -13\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45031 divided by 5.\nAnswer: 45031\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - 4. Let y = a - -29. Let x = -4.37 - -4.87. Sort -3, x, y.\nAnswer: -3, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 447 - 422. Is 19 a factor of -1*b*((-10 - -3) + 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**5 - 33*n**4 + 57*n**3 - 27*n**2.\nAnswer: 3*n**2*(n - 9)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -849, -5, 30 in descending order.\nAnswer: 30, -5, -7, -849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 - 837*v**2 + 121 + 118 - 239 - 836*v**2 + 1673*v**2.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -37*r**3\/3 + 137*r**2\/2 + 17*r + 6. List the prime factors of h(-9).\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (29475 - 34) + 46\/(-2) is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 + 0.481.\nAnswer: -54.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-6)\/5)*(-52)\/(-4095)*27?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24455393 divided by 5?\nAnswer: -24455393\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30704 is divided by 633?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3\/4*j**2 + 3\/2 + 9\/4*j = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91 + -103. Let d = 22 + -27. Sort c, 0, d in increasing order.\nAnswer: c, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-63) - (58\/(-7) - -8).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1271367 - 79639.\nAnswer: -1351006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16154 is divided by 2086?\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v + 4*b - 5 = 0, 5*b = -2*v + 35. Let y be ((-16)\/12)\/((-2)\/3). Differentiate -2*p**3 + 0*p**3 + v - y with respect to p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243*n - 6 = -245*n. Let x(t) = -2*t**3 + 7 + n*t**3 + 10266*t**2 - 10280*t**2. Determine x(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2060474095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46240112 (base 7) to base 15.\nAnswer: 54d062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111210121202 (base 3) to base 12.\nAnswer: 111248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 1452\/(-165))*-3*3.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 - 54*s + 146. What is x(-28)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 112304994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z + 56. Give r(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-1)))**(-2\/57)*z\/(z\/(z\/(z\/(z*z**(-3))*z*z)*z)*z*z)*z*z**(3\/2))**(-18) assuming z is positive.\nAnswer: z**(867\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -341, -661, -985, -1313, -1645, -1981?\n\"Answer: -2*r**2 - 314*r - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g - 5*g + 408 = 15*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p. Let x(s) be the second derivative of -1401*s**4\/4 - 3*s**2\/2 - 10719*s. Give h(x(w)).\nAnswer: -4203*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8557375 is divided by 3626?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -153 (base 7) to base 5.\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 9*q - 7. Suppose 4 = -3*g + 25. Let z(f) be the first derivative of 2 - f - 2*f - 3 - 3*f + 4*f**2. What is g*z(i) - 6*o(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -281*s**4 - 8*s**3 - 1723*s**2 + 1?\nAnswer: -6744*s - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25561 - -25562. Which is the smallest value? (a) 4\/15 (b) -2 (c) 0.1 (d) m (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-20)*27\/(-378))\/(48\/(-28))\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 901 + 4186 = 109*d - 1998 for d.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5072935 is divided by 3711?\nAnswer: 3709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 104172 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5678.16391 rounded to one dp?\nAnswer: 5678.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1213485 and 1274.\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35 from 8369909460.\nAnswer: 8369909425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-36)*-4*36\/4. Let o be ((-165)\/44)\/(0 + 1\/4). Which is bigger: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -43009.\nAnswer: -172036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28493, -28461, -28407, -28331, -28233, -28113?\nAnswer: -27971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 214453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from vqgghqvggvq.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, y: 2, e: 2, z: 7, b: 2}. What is prob of picking 2 a?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 361283177 to the power of 1\/2, to the nearest integer?\nAnswer: 19007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14\/15 - 8\/15. Factor -2\/5*t**4 + 0 - 1\/5*t + q*t**2 + 1\/5*t**3.\nAnswer: -t*(t - 1)*(t + 1)*(2*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 10:15 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j**3 + 2*j**2 + 2*j - 28. Give t(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64683544 is divided by 5159.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1412.3 times 38\nAnswer: 53667.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**3 - 178*h**2 - 783*h - 3763. Give i(-55).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19836169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -907\nAnswer: -17\/907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 0*d**3 - 2*d + 1\/2*d**4 + 4 - 1\/2*d**2. What is the units digit of t(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21595389 to the power of 1\/3, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 140*r**3*w - 2*r**3 - 13*r**2 - 128 wrt w?\nAnswer: 140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -4. Let j = h - -9. Suppose 0*r = -j*r - m + 137, r + 3*m = 61. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -13\nAnswer: -0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 4. Is s >= -1\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -4*u - 6*r + 3*r, u + 5*r = -20. Let w = u + 21. Differentiate 3*k**2 - 1 - w*k**2 + 10 wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 45 = -87. Solve 4*g = o - a, 0 = -5*g + 6*o - 2*o - 26 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 l when two letters picked without replacement from {x: 3, l: 2, a: 2, c: 9}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0497? (a) -0.5 (b) 14 (c) -10 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 15) in base 14?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 20. Solve o*v - 2*v = -8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4951381?\nAnswer: 19, 421, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7c879 (base 14) to base 2.\nAnswer: -1001010000110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000268 rounded to 5 decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**7\/f*f*f\/f**(-12)*(f*f**(-1\/3))**(-8) assuming f is positive.\nAnswer: f**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6727491536 to the nearest integer?\nAnswer: 1888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -15) + (64 - 72)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -185987*c**3*i*y**3 - 8*c**3*y**3 - 5*c**3*y**2 + c**3*y + 10*c**2*y**3 wrt i.\nAnswer: -185987*c**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = v - 2*v + 9, 5*v = 4*z + 16. Suppose v*c - 10 = 10. Sort -3, c, 12.\nAnswer: -3, c, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -137, -327, -677, -1241, -2073, -3227, -4757?\nAnswer: -6717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -21 - (-1 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1155 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35865, -71722, -107579, -143436?\nAnswer: -179293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*m - 312 + 80 = 0. Solve 4*r - m*r + 22 = -5*b, r + b + 5 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = -2*a. Let y be 2*(9\/a)\/(-3). Put -1, -3, y in descending order.\nAnswer: y, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 9*c**2 + 8*c - 15. Let u be j(-10). Suppose 4*y - 167 = -3*k, -u*y + y - 151 = -3*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = 10*c + 29601. Let r be (-198)\/c - 2*(-74)\/52. Put 2, -32, 0, r in increasing order.\nAnswer: -32, 0, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/4837440 and -11\/40.\nAnswer: 4837440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 16*y. Let k(w) = -7*w**2 + 1. Let v(o) = 3. Let f(r) = 4. Let q(m) = 4*f(m) - 5*v(m). Let i(a) = k(a) - q(a). Determine i(l(j)).\nAnswer: -1792*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llrqztll. Give prob of picking 1 l and 1 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -2*b - 8, 54 = -4*v + 1426*b - 1432*b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2464517 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3318\/105 - ((-6)\/5)\/3. Find the third derivative of -696*r**4 + 696*r**4 - 26*r**6 + o*r**2 wrt r.\nAnswer: -3120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*((-333)\/27 + 13). Do -47 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2890652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by -9\nAnswer: 68\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 127183709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 61404000 rounded to the nearest one million?\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = m - 3*b, 36539 = -5*m - b + 36461 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -361.7 - 219427989903.\nAnswer: -219427990264.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -747738.\nAnswer: -1\/373869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1916377638*o + 12*o**2 + 0 + 0 + 1916377638*o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 376101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 278 - (-3 + 1) - 5. Suppose a = c + 25. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 14) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + (-89)\/(-9))*27\/(-18)*-3. Solve q = -s - 4*n, 77*s = 80*s - 4*n - 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/14*(1827\/(-108))\/29\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 0 + (0 - 1). Let z(t) be the third derivative of 0*t**4 + 1\/105*t**5 + 0*t**3 - 1\/420*t**6 + t**2 + m + 0*t. Factor z(w).\nAnswer: -2*w**2*(w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-35) + (-1 - (-3)\/(-15))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 9:26 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1328 and 48603472.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**3 - 169 - 2*w**2 + 200 - 2*w**3 to z + a*w**2 + l*w**3 + p*w and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6933, 13860, 20789, 27720, 34653?\nAnswer: 41588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -416461 + 416461. Solve -18\/7*p + f + 2\/7*p**2 = 0 for p.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 926 - 509. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*k + 3747, -2*k + 1511 - 261 = z. Suppose -5*m + 3*o + z = -m, -5*m + 1555 = -5*o. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 3. Let m be 18\/15*(-20)\/8. Let v be c(m). Sort v, -3, -5 in increasing order.\nAnswer: -5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -292988928 divided by 4\nAnswer: -73247232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5060260*z + 40482077. Calculate p(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(672) - (sqrt(672) + sqrt(672) + (sqrt(672) - -2*sqrt(672))))\/sqrt(12))\/sqrt(8).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 3)*4\/10. Is -2 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14505 and 397437.\nAnswer: 1987185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.5719 - -0.032.\nAnswer: -1.5399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1659*i - 979*i + 522*i.\nAnswer: -2116*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 11:42 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3\/4, -72 in descending order.\nAnswer: 1, 3\/4, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/1483034 and -64\/2331?\nAnswer: 13347306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 38*b = 42*b - 365019, -2*v + 4*b = -243386. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 7:47 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -w + 1, -5*w = 4*z + 13 + 9. Let l be (-1)\/(-10)*95\/76. Which is the biggest value? (a) l (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2730 (base 8) in base 15?\nAnswer: 69b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 11:00 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*l**2 + 347*l + 354*l + 357*l - 1405*l - 12*l**2 + 346*l.\nAnswer: -67*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, r: 2, t: 3}. What is prob of sequence rll?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -1233046604?\nAnswer: -1233046613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*m**4 - 104*m**2 + 281*m + 4 wrt m?\nAnswer: -120*m**2 - 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6252, 6256, 6262, 6270, 6280, 6292, 6306?\n\"Answer: o**2 + o + 6250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*q = 252*q - 1040 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38039803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -899*j**2 - 902*j**2 + 1803*j**2. Let g(p) = -2*p**2 + 973. What is g(i(n))?\nAnswer: -8*n**4 + 973","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 4. Let u be 1\/(-1)*o - -104. What is the remainder when 28 is divided by u\/7 - 4\/(-14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v**3 + 4*v - 4. Let z(s) = -14*s**3 + 11*s - 11. Give 11*g(m) - 4*z(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.04 (b) 2 (c) -0.4 (d) -6924 (e) 0 (f) 1\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/9)\/(q\/q**(-2\/23))*q*q*(q*q**2)\/q*q**(1\/5)*((q**(-1)\/q)\/(q**(-2\/13)\/q))\/((q*q**(-6)*q)\/(q\/((q*q**(2\/5)*q)\/q)*q*q)) assuming q is positive.\nAnswer: q**(108839\/13455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmbbbbbbm. What is prob of sequence mm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -38*m + 18*m + 4 + 22*m. Suppose 29 + 121 = -25*l. What is h(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -115 - -119. Solve -6*u + h = -8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35695 is divided by 604?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 23*v + 846. List the prime factors of s(0).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 146 + -250. Let a be v\/(-18) + (-14)\/(-63). Find the third derivative of a*o**2 - 29*o**4 + o**2 + 20*o**4 + o**2 wrt o.\nAnswer: -216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 15, 3\/7, 2\/13, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + (0 - (2 - 3)). Let j(i) = i**2 - 7*i + 7. Let o be j(t). Is 3\/2*2\/o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 5. Let c = f + -7.1. Is -0.1 != c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 33*o + 8729. Let m(w) = 116*w + 26188. Determine 2*m(b) - 7*r(b).\nAnswer: b - 8727","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**6\/120 - d**5\/12 + d**4\/3 + 10*d**3\/3 - 119*d**2 - 1. Give p(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11690 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 1475*l - 71. Let f be y(11). What is the derivative of -103*k**2 - 9*k**2 + f - 16182 wrt k?\nAnswer: -224*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**3\/3 - 2*n**2 + n + 2. Suppose 1006*h - 60 = 1021*h. What is r(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (7 + (13 - 8))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 5.18372?\nAnswer: 2.073488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22114, 44103, 66106, 88123?\nAnswer: 110154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 557070643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -20123*c**2. Let v(j) = -j**2. Give k(v(r)).\nAnswer: -20123*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(-3) - (4\/18 + 75\/(-135))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3036476*k*w + 1163112*w wrt k?\nAnswer: 3036476*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 9 + 81*d**2 + 9 + 0 to the form u*d + g*d**2 + f and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 294 and 176162?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrorrorrrr. Give prob of picking 2 o.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102202 + 143121?\nAnswer: 40414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511 = -380*d + 2*d + 13733 + 19776 for d.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 3. Let s = 54 + -68. Let h be (-5)\/(s\/(-42) + 14\/(-12)). What is the highest common divisor of q and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*k + 21425258 + 17068758 = 488*k. What is k rounded to the nearest 1000?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a second in microseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*b - 35*b + 12. Suppose -2*z = -24 + b. Suppose z*j - 4*j - 1678 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/(-2))\/((-4)\/(-8)). Suppose 0 = -5*b + y - 0. Suppose 0 = m + 3*h - 2 - 14, 4*m = -h + 20. Solve b*z + 2*z = m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3*b - 6)*(5*b**4 - 4*b**4 - 2*b**4).\nAnswer: -3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.21097 milliseconds in minutes?\nAnswer: 0.0012368495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1045, 1034, 1001, 940, 845, 710?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10055 = -10*z - 1425. Suppose -2653 = -6*c + z. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(39)\/((sqrt(300) - sqrt(300)*-3) + sqrt(300)).\nAnswer: sqrt(13)\/50 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 159.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 10 = z - 157, 0 = 5*z + j - 717. Let f(g) = -159*g - 1685. Let y be f(-11). Calculate the highest common factor of y and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 3) in base 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -27. Suppose 4*x = -2*l, p*l = -5*x + 2*x. Suppose -135 = -2*z + 2*j + 45, l = z - 2*j - 90. Is z a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -359 + 358.99999844. What is z rounded to 7 dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1818 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -655\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.1 (b) -77 (c) 3.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -7*l - 4. Determine m(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.3 - -53.7. Let a be 2 - ((-54)\/(-42) + 4\/4). Is a >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 6*p - 65. Let v = p - -31. What is the greatest common divisor of 72 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c - 5*m = 21*c - 20, 2*c + 5 = -5*m. Suppose 2 = 5*a - 8. Suppose -3*b + q - 15 = -a*q, 5*b + 24 = 4*q. Which is smaller: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 5*q**2 - 5*q + 7. Let z be r(5). Let v be ((-4)\/z)\/((-8)\/12). Let y = -3.5 + 4. Which is the second smallest value? (a) 0.4 (b) y (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1.3. Suppose -3*z + 2 + 28 = 0. Suppose 4*g - z = -g. Which is the second biggest value? (a) u (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 - 2*y**3 - y**4 + 0*y**4 - 4*y**4 + 5*y**4 - 12 + 12 + 6*y**4 - y**4 - 2*y**4 + 2*y**4 + (-y - 2*y**2 + y)*(-2*y**2 - 2 + 2).\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 - 9*t - 4. Let j be r(-4). Suppose 2*x = 5*m - 229, j = 3*m + m + 2*x - 194. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 9*z + 12. Let x(c) = -c + 9. Let k be x(0). Let d be s(k). Suppose -b + d = 3*n - 0, -3*n = -3*b + 24. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.240519 hours to minutes.\nAnswer: 434.43114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26.1? (a) -3 (b) 4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2900*y + 10. Let f(q) = -3*q**2 + 386*q - 3. What is i(f(u))?\nAnswer: 8700*u**2 - 1119400*u + 8710","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175 and 469434.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-10)*k**(-10) assuming k is positive.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15037 is divided by 74?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302 = -5*t - 252. Let p be (-2)\/(2\/50*-1). Calculate the highest common divisor of p and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 - 2*c**3 - 2*c**3)*(-c + 1 - 1) + c**4 + 0*c**3 + 0*c**3 + (14*c + 51*c + 55*c)*(-4*c**3 + 6*c**3 - c**3).\nAnswer: 123*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + 13 + 9 + 3 - (-1 + 7)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1112 - -1112.1718. What is q rounded to two dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*d - 0. Suppose -8 = x - d*x. What is the remainder when (-2 - x)\/(-2) + 51 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4) + (-6 - (52 - 64))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3103*c - 3754*c + 77792 = 215*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -129*i + 4. Let y be -6 - (0 + 12)\/(-4). Is g(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00114 to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -4799954?\nAnswer: 4799953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*z = 31 - 2, z - 134 = 5*j. What is the remainder when 45 is divided by (-480)\/(-27) - 6\/j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29156027 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0*d - 5*d)*(6*d**2 - 23*d**2 - 5*d**2).\nAnswer: 154*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124 - 73. Calculate the remainder when g is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 6:46 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-2))\/(2\/4). Let f = 6 - k. 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 biggest value? (a) -0.514 (b) 1.241 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 214336 and 18912?\nAnswer: 643008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.49 + 0.4809. Let m = -0.064 - -0.074. Let p = b + m. What is p rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -17*f**2 - 501*f - 214. Calculate u(-29).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**4\/4 - 2*k**3 + 4*k**2 - 3*k + 1. List the prime factors of m(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -309, -619, -929?\n\"Answer: -310*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 150\/(-15)*8\/10. Let b = 8 + v. Suppose g = -b*g + 37. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6625 - -6620.291. Let n = 4.7 + o. Let u = n - 3.191. Round u to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5470187?\nAnswer: 5470187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11073989 is divided by 42429.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 45*p + 581. Calculate m(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.189 smaller than -551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-3) - 6\/2. Let d(w) = -6*w**3 - 15*w**2 + 15. Let r(i) = i**2 - 1. Let q(v) = v**3 - 21*v**2 + v - 36. Let m be q(21). Give m*r(a) + u*d(a).\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**4*r**3 - 121*g**2*r**3 - 17*g*r**3 - 33*g*r wrt g.\nAnswer: -12*g**2*r**3 - 242*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -40*y**3 + 11*y**2 - 15*y - 11. Let g(c) = -8*c**3 + 2*c**2 - 3*c - 2. Let h(d) = -11*g(d) + 2*i(d). Find the second derivative of h(u) wrt u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**4 + 12897*j**3 - 20047986*j**2 + 13097304396*j - 2911835048040 = 0.\nAnswer: 465, 1278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60\/6*(-2)\/5. Let m = v + 7. Solve -f + 0 = -m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 145. Let y(m) = 14*m - 235. What is y(o(h))?\nAnswer: 14*h + 1795","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 378260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2793033 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.4, 2, 1\/6, -4\/1679 in ascending order.\nAnswer: -5, -0.4, -4\/1679, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 15. Suppose -4*b + 264 = z*y, 3*y + 0*y = 4*b - 244. Suppose -18*s = -26*s + b. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)\/d**6)**(-25)*((d*d**(2\/7)*d)\/d**(-1))\/((d**(-4)*d)\/(d\/((d*((d\/(d\/(d**2\/d)))\/d*d)\/d)\/d*d)*d*d)) assuming d is positive.\nAnswer: d**(1808\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 66*s**2 - 74754*s + 122138. Calculate r(1131).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -35.35?\nAnswer: 40.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/74291 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 1 + 7 + 21*c**2 - 2*c**2.\nAnswer: 19*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 8*h**2 + 14*h + 26. Give t(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9039 is divided by 230?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**3 - 3*q**2 + q - 3. Let s be w(3). Let j(k) = 6*k**2 + 2*k + 1. Let d be j(-1). Suppose 0 = -d*l + 47 + s. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 + 3 = 0. Let f(i) = -i**3 - 3*i**2 + 3*i - 4. Let r be f(p). Suppose -2*d + 3*d = r. Which is the third biggest value? (a) d (b) -0.5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (-1 - -2))*0. Suppose 0 = -w - s + 4 + 10, -5*w - s + 62 = h. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - w + 2*w - 2)*(9 - 2 + 0).\nAnswer: -14*w - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7605.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 574*l = 563*l. Solve -2*s = -2*v - 6, -3*v + 2*s + 3 - 9 = l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 2*o - 28 = -4*r, 0 = r - 4*o + 31 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -141*a - 299. Let g be u(-7). Let n = -671 + g. Solve 3*w = -n + 20 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y = -80*y + 205*y - 2*y - 9430 for y.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -22*(-9)\/(-18)*-146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-207)\/69 - (-1 + (-4 - -2)). Let s(x) = -2*x - 31. Give s(t).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72*b + 19*b + 53 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 8*q + 44. Let s(y) = -y + 2. Let p(c) = -h(c) + 3*s(c). Let g(k) = 7*k + 26. Let t(b) = -8*g(b) - 5*p(b). What is t(0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -k + 6. Solve -d = 2*p - 3*d - 4, -3*p - 5*d = k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.36 - -6.36. Which is the second smallest value? (a) -5 (b) 1.7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 9:02 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 0*r**5 + 0 - 1\/15*r**6 + 14*r**3 + 10\/3*r**4 + 104*r + 0*r**2. What is the second derivative of l(s) wrt s?\nAnswer: -24*s**2 + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 19965392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -378501.2 rounded to the nearest one thousand?\nAnswer: -379000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -0.119.\nAnswer: 0.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-1))\/3*0. Let n(v) be the second derivative of 1\/3*v**3 + 0*v**2 + 27*v + i. Let d(x) = -33*x**2 - 2. Calculate n(d(p)).\nAnswer: -66*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 7:02 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 848 - -1664. Suppose -3*q = -2*t + l, -3*t = -2*t - 3*q - 1262. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000121878 to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -17966, -9, 0, 1, 5, -34, 2 in descending order.\nAnswer: 5, 2, 1, 0, -9, -34, -17966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9719 + 9779. Calculate the remainder when b is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 2, t: 8, c: 1, e: 6}. Give prob of picking 1 r and 1 e.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 18561*l - 130020. Determine s(7).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-4 - -8 - 0)) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 38274 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from eezqpsppyeze.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -794, -1586, -2376, -3164, -3950, -4734, -5516?\n\"Answer: y**2 - 795*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18 - 2)\/((-2296)\/574). Suppose -k = -4*f - 20, -5*k - 2*f = -7*f - 100. Solve 2*d - 7*d + k = p*w, w - 16 = -5*d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12294 not equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -28*(38\/(-56) + (-27)\/(-63)). Let s be -440*(35\/50)\/g*-4. Suppose -2*y = 4*f - f - 29, -4*f - 20 = 0. What is the greatest common factor of s and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 5*a**2 - 80*a + 459. Calculate k(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004723149487 rounded to six decimal places?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-14) + (-19)\/((-285)\/24) + (-19106)\/1435?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 12*c**2 + 2*c + 1. Let q be h(-2). Let y = -2642 + 21183\/8. Calculate the common denominator of y and -101*(-3)\/q - 2.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3798 - 0 - -4 - 28\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 2\/17.\nAnswer: -4, 0, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2679 or 2680?\nAnswer: 2679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 81*t - 26081. Give c(126).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.471 + 0.029. What is the nearest to 0 in 1\/7, 2, z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4725*d + 4718*d + 98 = 0. Let o be 0\/(-1) - 37\/(-1). What is the first derivative of -13*y - d*y - 19 + 3*y + o*y wrt y?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2275.408 + -1818.4075. Let u = m + -457. Round u to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84003, -84009, -84015, -84021?\nAnswer: -84027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.4, -4.67, 0 in ascending order.\nAnswer: -4.67, -2, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 18, p: 1}?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*sqrt(1980) - sqrt(1980))\/(3*sqrt(5)*1).\nAnswer: -6*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460562258?\nAnswer: 2, 13, 23, 79, 9749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2205*q + 55534. Determine h(25).\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yyyyyyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11299*a**4*y**3 - 12899*y**3 wrt a.\nAnswer: 45196*a**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 + 19235*j - 19235*j.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + u - 1 - u**3 + u - u**3 - 1 + 1 + (-38 + 38 - 3*u)*(10*u**2 - 3*u**2 - 3*u**2).\nAnswer: -14*u**3 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snbm when four letters picked without replacement from {n: 1, b: 4, s: 4, t: 3, k: 1, m: 5}.\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z - 44. Let h = z - -3. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1246504017?\nAnswer: 3, 11, 31, 41, 113, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 153 and 16099.\nAnswer: 144891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -319 divided by 11?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p**3 + 221*p**2 + 894*p + 2252. Calculate h(-40).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.099987 + 8.1. What is i rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 3*r**4\/4 - 25*r**3\/3 + 4*r**2 - 2. Let o be m(3). Let l(t) = -t**3 - t + 6. Let y be l(0). Solve -y - 10 = -o*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 2*t - 6, x = -2*t - t + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**5\/30 - 7*a**4\/12 - a**3\/2 + 2*a**2. Let c = 2492 + -2498. Calculate the remainder when 34 is divided by n(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 242 - 246. Let x = 179 + -79. What is the second biggest value in x, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5\/3 + 7*o**4 + 131*o**3\/3 + 93*o**2 - 144 = 0. What is o?\nAnswer: -12, -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74 (base 11) to base 5.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**3\/3 - 3*i**2\/2 + 26*i + 74. Let s be q(-6). Solve 0 = -3*y - 3*k, k - 2*k = -3*y - s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004351 to 6 dps.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.178691 to the nearest integer.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 4*p - 132, 5*s + 8 = s. What is the remainder when 1291 is divided by p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138 + 9*q**3 - 15*q**3 + 138.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 + 33*k**2 - 108*k + 108.\nAnswer: -3*(k - 6)*(k - 3)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/((-3)\/9))\/1. Suppose 2*b - 15 = -h*b. Suppose 0 = b*t - 7*t - 12, -1086 = 3*v + 2*t. What is v rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 323016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knh when three letters picked without replacement from {h: 5, k: 1, s: 5, p: 3, n: 2}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x**3 + 8*x**2 + 14*x + 2. Let d(z) = 24*z**2 - 19*z**3 + 7 + 0*z**4 - 79*z - 48*z + z**4 + 168*z. Let y(t) = -7*a(t) + 2*d(t). Factor y(i).\nAnswer: 2*i*(i - 2)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2220123 (base 4) to base 10\nAnswer: -10779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 n, and 1 b when three letters picked without replacement from nnrkb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -94 - -93.96. Which is the nearest to 1? (a) i (b) 4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**1*t*t)**(-2\/49)\/(t*t\/((t\/(t\/(t\/(t**(-1\/5)\/t))))\/t*t*t)*t*t**(-1\/5)) assuming t is positive.\nAnswer: t**(78\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -42 + -2354?\nAnswer: -2396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*f - 2*f - 9, -1 = 2*l + 5*f. What is the remainder when l is divided by (-2)\/(-4)*(-8)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14 or -307717?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*x. Let k = 149 + -145. Suppose 54*r = 50*r + 28. Solve r*p - k*p = x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 218*c**7\/35 + c**5\/60 - 469*c**3\/6 + 1418*c**2. Find the third derivative of j(w) wrt w.\nAnswer: 31392*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 170*g**2 + 3*g + 0*g.\nAnswer: 170*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 7*d**5\/60 + d**4\/24 - d**3\/3 - 13*d**2. What are the prime factors of r(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, n: 6, e: 2}. Give prob of picking 3 n.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1035 and 512325.\nAnswer: 512325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-125)\/(-40) - (-5)\/(-40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1456 and 2716.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**6\/90 + n**5\/15 + n**4\/6 + 2*n**3\/9 - 12*n**2 + 12. Let m(c) be the second derivative of h(c). Factor m(q).\nAnswer: 4*(q + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 96, 421, 962, 1719?\n\"Answer: 108*c**2 + c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -101, -3\/4, -1\/2, -0.22, 2\/3, 2?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18, 54, 140, 300, 558, 938, 1464, 2160?\n\"Answer: 4*d**3 + d**2 + 5*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2416952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 divided by -67244?\nAnswer: 39\/16811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 6*b - 2. Let c be 42*(2\/(-5))\/((-15)\/25). Calculate the least common multiple of n(-4) and 16\/2 + (-6 - c\/(-7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + 15 + -9 - 51?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-g - 2*g + 2*g)*(-3*g + 3*g - g) - 13 + 13 - 17*g**2)*(-3 + 0 + 11)*(g**2 + 5*g**2 - 4*g**2) to a*g**3 + d*g + n + p*g**4 + j*g**2 and give p.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 587 = -141. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (14\/119 - 415291\/(-17)) + 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83 - 146. Let c = -41 - m. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 582260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7154 divided by -7.\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 11:40 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m + 116. Suppose -s + m = j, -2*j - 92 = -3*s - 4*j. What is the greatest common divisor of 306 and s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/3620 and -39\/40.\nAnswer: 7240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 8*f**2 - 1\/60*f**6 + f + 0*f**5 + 0*f**3 + 0 + 1\/12*f**4. Let d(h) be the first derivative of v(h). Solve d(u) = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16942491.\nAnswer: 3, 67, 28097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4542.\nAnswer: 2, 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + ((-83)\/(-17) - (-9)\/3) - 3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221 - 220110022?\nAnswer: -220110303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1248? (a) -17 (b) -1\/5 (c) -3 (d) 11\/3 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 + 2*y**2 + 0*y**2 + (2 - 3 + 0)*(-2*y**2 + 40 - 32 + 4 - 21*y).\nAnswer: 3*y**2 + 21*y - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.04 + -3.96. Which is the nearest to 1? (a) w (b) 29 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 19 = -7*j + 23 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24518*g**2 - 24645*g**2 - 2 + 2 to f + x*g**2 + c*g and give x.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 359, 3, 0, -13, 1.\nAnswer: -13, 0, 1, 3, 359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14077436659.6 take away -315?\nAnswer: -14077436344.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*c = 4*f + 205*c + 1, 1 = 5*f - c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(-1\/31))**(-37) assuming a is positive.\nAnswer: a**(-37\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -22 + -42 - -23.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9597507 is divided by 2535.\nAnswer: 2532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**3 - 6*z**2 + 6*z - 2. Let h be j(-8). Let k be 1199\/h - (1 + -4). Let u = 114\/59 - k. Calculate the common denominator of u and 57\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 14*v + 13*v.\nAnswer: 27*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 24ab661 (base 12) to base 8\nAnswer: 33343751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 2*r - 3 = 5*r + 2*r - 25, 11*v + 106 = 5*v - 5*r for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 + 7*l + 1. Let k(b) = 4*b**2 + 15*b + 3. Let i(z) = 5*g(z) - 3*k(z). Let x be i(-4). Let f be 122\/18 + 6\/27. Solve -f = -x*v + 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 10. Suppose 25*l - 62 = -32 - 30. What is the nearest to l in y, -0.5, -21?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 27*o + 46. Let f be t(25). What is the closest to 0.2 in 3, -13, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2693 - -0.2693. Which is smaller: f or -107\/3?\nAnswer: -107\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 4*m - 5. Let c be x(-4). Let w be c\/(-7) + (-4)\/14. Is (-5)\/w + 8*10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01088*0.0093.\nAnswer: -0.000101184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-4)*68\/(-5049)*9.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i - 3. Let g(z) = 14*z - 7. Calculate 2*g(b) - 7*n(b).\nAnswer: -7*b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzxz when four letters picked without replacement from zxxxxxxxzxxxxzxxxx?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-4)*((-3)\/(-15) - -7). Solve 5*t - 7*t + 4*p = x, 4*t + 3*p = -14 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*v + 420 = 120*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(171)*2 - sqrt(171)) + (sqrt(171) + -1)**2 + -1.\nAnswer: 27*sqrt(19) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 19.1. Let n = d + 0.1. Let i = 0.377 + 4.623. Which is the smallest value? (a) i (b) n (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 2 - (-6 - (-8 + -3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7132 divided by 3566?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324034 (base 7) to base 2.\nAnswer: 1101110100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -k - 5*h - 12, 3*k - 3*h - 24 = 0. Suppose -368 = -3*f + 5*d, k + 5 = -2*d. Let y = f - 63. Does 26 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*l - 740*l + 70098 + 25514 = 723*l for l.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -372, -368, -342, -258, -80, 228, 702, 1378?\n\"Answer: 6*p**3 - 25*p**2 + 37*p - 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 253351 a multiple of 286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*i + 2990, -6*i + i = j + 965. Round j to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092320453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aaja?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7*2*(-20)\/35. Suppose 4065 = 5*x - 2*s, -o*s = 5*x - 5*s - 4090. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q - 122*u - 566 = 13*q - 13*u, -4*q = -2*u - 7*u + 7*u - 38 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 194255 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -5*n**5\/3 - 45610*n**4\/3 - 91205*n**3\/3 - 15200*n**2 = 0?\nAnswer: -9120, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 108\/5 + 36\/5*d**2 + 4\/5*d**3 + 108\/5*d = 0. Calculate d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 126 + 32 = -10*f, 2*j - 74 = -16*f + 21*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + -2)\/((-564)\/1692)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511209454 a multiple of 4711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/18*3)\/((-14)\/(-21)). Let k(p) = -19*p**3 - 6*p**2 - 2*p - 4. Calculate the remainder when k(a) is divided by 39.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 755 + -622. What is the remainder when d is divided by 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 50 = 28*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from vyffslp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*y, 58*c + y - 170 = 55*c. Is c a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 0*k**2 + 31\/3*k**3 + 0 - 1\/10*k**5 + 19*k - 1\/3*k**4. Find the second derivative of p(f) wrt f.\nAnswer: -12*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 444 and 28934.\nAnswer: 173604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-16 + (5 - -4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 - 4*s**3 + 4*s**3 + (-5*s + 13*s + s)*(21 + s**3 - 21) + 3*s**4 - 3*s**4 + s**4 - 3*s**2 + 2*s**4 + 3*s**2.\nAnswer: 11*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -29, -49, -71, -95?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n - 3. Let y be g(-2). Suppose 6 = -m - p, -2*m - 19 = y*p - 4. Let u(b) = -b - 2. Let h be u(m). Solve -w = -h*x - 6, w - 4*x = 6*w - 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + g**2 + 3*g - 4. Give m(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6810 + 18605 = 271*w - 266*w. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1785726193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*o = 193*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/45? (a) -1 (b) -0.7 (c) -119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4*o**2 - 7)*(2112*o**2 - 3010*o**2 + 1708*o**2).\nAnswer: -3240*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (2 - -2) + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 68, 49, 2, -85, -224, -427, -706, -1073?\n\"Answer: -2*i**3 - 2*i**2 + i + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 373317 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 m(p) = p + 10. Let j be m(-8). Suppose 0 = n - j - 1. Let v = -7 - -6.6. Put v, 4, n in increasing order.\nAnswer: v, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(4 - 3*q**4 - 4) + (-7*q + 2*q + 0*q)*(-4*q**3 + 2*q**3 + 0*q**3).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 229 - 253 = 0. Solve -w*g + 9 = -5*f, f - 3*f + 2 = -3*g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, b: 1, w: 2, m: 5, a: 1}. Give prob of picking 1 m and 2 w.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*n + 14*n - n)*(2 - 1 + 0) + (-4 + 1 + 1)*(-n - n + 4*n) - 9 + 44*n + 9.\nAnswer: 62*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92 - 100. Let r(h) = 2 - 11 - 3*h**2 - h**3 - 8*h - 5*h**2. Is r(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.8 + -12.6. What is the third biggest value in 27, -1\/2, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 3*x + 16, -8*f - 2*x = -4*f + 24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 3)*(1 + 2 - 4)*((i - 1 + 1)*(2*i - i - 3*i) - 6*i**2 - 2 + 2) as u + o*i**2 + a*i and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 174223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54087 - -54086.794574. Let h = -0.205 - x. What is h rounded to 5 dps?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -37. Let d(n) = -n - 35. Let f(t) = 8*d(t) - 7*z(t). Give f(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 332858320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 676, 1564, 2806, 4402?\nAnswer: 6352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 12, i: 7}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-14)*x)\/((x\/(x\/x**(-2\/25)))\/x))\/(x\/(x\/x**3))**(-5\/8) assuming x is positive.\nAnswer: x**(-2009\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 11. Let r = 5\/954 - -313\/954. Which is the nearest to 0.1? (a) r (b) m (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32060+0.00896772473\nAnswer: -32059.99103227527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 549\/724 + -3\/362. Let i(p) be the third derivative of 0*p + u*p**4 + 0 - 20*p**2 - 19\/6*p**3. Find the first derivative of i(j) wrt j.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56.28 - -290924\nAnswer: 290867.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55358 + 3526 = 270*s + 360*s + 71*s for s.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27390, 27393, 27396, 27399, 27402, 27405?\n\"Answer: 3*v + 27387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -658*u = -z - 662*u, -11 = 4*z + 5*u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90796 + 49089 = 11*r - 114094. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 6, -3, 1, -666.\nAnswer: -666, -4, -3, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1235746, 2471505, 3707264?\n\"Answer: 1235759*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c = u + 32, -4*u + 4*c = 152. Let k be -187 + 139 - (33\/(-3) + 2). Is k less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 45\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17521 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10240 and 106048.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 511\/(1*(-5 - -6)). Let b = -300 + w. List the prime factors of b.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -176c0c?\nAnswer: -176c08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2369*k**2 + 3*k + 676. Let i(l) = -11843*l**2 - 14*l - 3384. Let u(p) = -14*g(p) - 3*i(p). Find the first derivative of u(y) wrt y.\nAnswer: 4726*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -25*i + 3366. Calculate x(134).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-6))\/(4\/(-40)). Suppose 4*y + 26 = -m*p, p + y = -3*y - 2. Let v(d) = 5*d**2 - 4*d - 1. Is v(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -0.4 (b) -6 (c) -2\/7 (d) -2 (e) 7.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 686554.381 minus 0.03281?\nAnswer: 686554.34819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 3*o = -0*o + 28, 3*o + 23 = -4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55021645?\nAnswer: 5, 7, 1572047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1611.67 - 1.33. Let s = x - -1610.209. Let v = s - -2.68. Round v to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39826.94 and 2.1.\nAnswer: 83636.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*f + 2*c, 4*c = -2*f + 8*c + 14. Suppose f*l - 596 = 119. Solve 0 = -6*n - 5*n + l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/309 - -1520\/21939. Which is greater: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -125156 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2013 by 11.\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-5)\/(-2280))\/(5\/40)*75\/(-250)\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 2*z - 7. Let o = -13 + 24. Suppose 5*i - 42 = n, 3*i + n - o - 11 = 0. What is the tens digit of f(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h, -x + 0*h + 2*h = -3. Suppose x*l + 3*n - 14 = -2*l, 5*l - 20 = -5*n. What are the prime factors of l + (31 - (-3)\/(-1))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 38 + 10*w + 111 - 2*w. Let q(h) = 6*h + 49. Let i(d) = -5*j(d) + 8*q(d). What is the derivative of i(k) wrt k?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 5. Let f(k) be the third derivative of k**4\/12 + k**3\/6 - 9*k**2 + 4*k. Calculate f(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.66988 and -8.\nAnswer: -45.35904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 902749216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 7\/6*t**4 + 0*t**3 + 1\/2*t**2 + 0 + 24*t. Find the first derivative of r(c) wrt c.\nAnswer: 28*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/q**(-4)*q*q))**(3\/4) assuming q is positive.\nAnswer: q**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 46380 rounded to the nearest 1000?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*r + 133 = 41*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 206036 times -0.072\nAnswer: -14834.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000127876739 to 7 dps.\nAnswer: 0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-2))\/2*(-38)\/(-114)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1105810 - 655?\nAnswer: -1106565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*z = -4*z + 40, 3*z + 33 = 4*i. Suppose 0 = -5*l + 3*d + 9, -l - d + 3 + 2 = 0. Calculate the remainder when i is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8582071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206626, 4, -2, 14 in descending order.\nAnswer: 14, 4, -2, -206626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 20\/8)*4. Calculate the greatest common factor of b and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*a = -3*u - 30*a + 2355, 3*u = a + 2343. What is the greatest common divisor of u and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7600505.\nAnswer: 5, 11, 138191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 602.2 - 602. What is the third biggest value in -2\/21, 0.1, a, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -438503\/24028 + -2\/6007. What is the common denominator of u and -40\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -194 * -198\nAnswer: 38412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 2*z**2 + 3*z - 3. Let o be -1 - (-9)\/(-6)*-2. Let m be f(o). Sort -1, m, 0 in increasing order.\nAnswer: -1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2. Let n be (-6)\/15 + (-156)\/(-15). Suppose -n = -6*r + r. Let c(f) = -2*f + 5*f - 8 - r*f - 2*f. What is 2*c(s) - 7*m(s)?\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.555 - -433865531.\nAnswer: 433865529.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*t - 32*t + 424133. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/100 and 28\/25.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 4 = -8. Suppose g - s = 2*f, 0 = 3*g + f + f - 14. Sort g, 1, 5, 2 in descending order.\nAnswer: 5, g, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2511.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 5*p - p)*(1 - 3 + 4)*(4 - 5 - 1) - 2*p + 2*p - 3*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-2 - (6 + -4 - 2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 c when four letters picked without replacement from {w: 3, c: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 5*b = -47, -9 = -230*d - 245*d + 471*d - 3*b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*v - 30, 2*l + 2*v = l - 13. Let w = l - -1. Let y be (0 - (-3 - -2))\/w. What is the third biggest value in 3, -3\/2, y?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -173*l + 1542 - 385 + 1611 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) -1\/4 (c) -1 (d) -69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eezzze. What is prob of sequence ez?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2492481919 rounded to the nearest 1000000?\nAnswer: -2492000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 178240001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13120 (base 4) to base 8.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17783 - -35565\/2. Let x = -0.2 - -0.5. Let f(r) = 2*r - 1. Let i be f(2). Which is the third biggest value? (a) l (b) i (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4811, -17691, -39165, -69233, -107895, -155151?\n\"Answer: -4297*i**2 + 11*i - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -132722*o**4 + o**2 + 7660*o.\nAnswer: -3185328*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 7:17 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-3 + (-15)\/(-1))\/(6\/4) and -2*((-36)\/2)\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.05321295?\nAnswer: 0.005321295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 47896383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -9*l + 2. Let g(z) = -17*z + 5. Suppose 28 = -4*r - 2*b, -r - 4*b = -2*r + 11. Let a(t) = r*m(t) + 2*g(t). Let i(d) = -d. Calculate a(i(j)).\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrlwlllwwrwrrlwrdwr. Give prob of sequence wrwl.\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -650428808*f**2 - 351171*f + 16?\nAnswer: -1300857616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 15*(-19644)\/(-120) + (-1)\/2 - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/20 and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 37\/2 of a milligram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 5:36 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5*f + 5, -2*i = -4*f + 2 + 4. Suppose -2*r + 3694 = -4*p, i*r + 2494 + 1165 = -4*p. Let x = 1294 + p. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1024915*j**2 - 966493 wrt j.\nAnswer: 2049830*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a hour in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 16) to base 15.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(117) + sqrt(117))*-2 + -5*sqrt(117)*-3)\/((sqrt(432)*2)\/(sqrt(3) + sqrt(324)\/sqrt(12))))**2.\nAnswer: 1573\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4326202 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1818045 or 1818061?\nAnswer: 1818061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 434388 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(2) + (sqrt(2) - (-1 + sqrt(50))) + (1*sqrt(2) + -3)**2.\nAnswer: -9*sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 at least 514?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 10*s + 6. Suppose -5*h = -0*h + 45. Let l be v(h). Let d = -2 + 6. Sort 5, d, l.\nAnswer: l, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -37.6. Let y = m + -6. Let o = y - -1.5. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 4*p + 12. Calculate j(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75909862 to the power of 1\/3, to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 6, 0.098, -1\/3, 2\/9, -3, -83?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.658 times 225442?\nAnswer: -148340.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1848 divided by -26.\nAnswer: -924\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1707*f**2 - 48*f + 2*f**4 - 1613*f**2 - 42*f**3 - 2*f**3 - 4*f**4.\nAnswer: -2*f*(f - 1)**2*(f + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011 - 101000000111111101011?\nAnswer: -101000000111111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3017*d**2 + 5997*d**2 - 2978*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001084273 rounded to 7 dps?\nAnswer: -0.0001084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4ba (base 13) in base 14?\nAnswer: -433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3555947043.\nAnswer: 3, 11, 367, 97871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 2. Let a be v(0). Suppose 4*m = a*m + 4. Suppose u = 0, -3*x + 2*u = -m*x - 191. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.31 from 0.3.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*p + 300. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 0 - 1\/4*u**3 - 1\/2*u**2 + 0*u = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - 0.22. Let i = w + 0.06. Which is the nearest to 3\/4? (a) i (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -693 and -25107?\nAnswer: 17399151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-10))\/((-4)\/20). Let h be 2\/i + (-2)\/2. Let k = -0.24 - 0.06. What is the nearest to h in 2\/5, k, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 603 and 338819?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56497.93775 - 56506. Let q = -0.06975 - s. Let y = -8 + q. What is y rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 407, -26, -4, 128, -1, 2 in increasing order.\nAnswer: -26, -4, -1, 2, 128, 407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 12*t - 5. Let i be n(13). Let u be ((-2735)\/2)\/((-4)\/i). Let z(d) = -d + u - 2735. Let m(a) = -4*a + 1. Calculate z(m(y)).\nAnswer: 4*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 915 = 5*f, 5*f + 115 + 810 = 2*p. Let z = 184 + f. What is the nearest to -2\/15 in -0.5, 0.3, 3, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.49 * 6.1.\nAnswer: -21.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/4)\/(30\/160).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130131142 (base 5) to base 7.\nAnswer: 5233144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idddbddddi. Give prob of picking 1 i and 1 b.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2775 + 1.90169.\nAnswer: 0.62419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by 92.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 5, -3, -23, 3, 10177 in increasing order.\nAnswer: -23, -3, -2, 2, 3, 5, 10177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 26*c**5 - 32938*c**4 - 2512820*c**3 - 48013232*c**2 - 52479936*c - 6946560 = 0.\nAnswer: -36, -1, -2\/13, 1340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 7*w + 5. Let u be y(-8). Let z = 124 + -51. Let t = 72.6 - z. Put t, 3\/7, u, -1 in descending order.\nAnswer: 3\/7, t, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 14 = -1. Let d = 389\/3 - 131. Put -1, m, d in increasing order.\nAnswer: d, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**4 + 6*l**4 + 0*l**4 + (-l + 0*l + 0*l)*(4*l**3 + 0*l**3 - 6*l**3) + 3*l**4 + 12*l**4 - 5*l**4.\nAnswer: 14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*n = 123, -2*n - 36 = -s - 5*n. What is the remainder when 132 is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -1, -4, -124.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 12 + -11 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370421363.\nAnswer: 13, 28493951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 10:38 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 1:04 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from attz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 9 = 43. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 7*h = -119. Let c = h - 120. Sort 5, c, 6, -4.\nAnswer: -4, c, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - u + 2517 + 40959 = 0. Which is smaller: -7247 or u?\nAnswer: -7247","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 322 + 839. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 - -60. Suppose -3*y + 6*r - 6 = 3*r, -2*y + x = r. Let f = y + -2. Solve f = -3*w + 2*w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0713236 centuries in decades?\nAnswer: 0.713236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156 + (1 + -15 - -8).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z - 3*x - 3, -3*x = 5*z + 35. Let b be (-2)\/(-4*z\/(-216)). Let p be 2*123 + (-3)\/1. What is the highest common factor of b and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/5526 and 71\/24.\nAnswer: 22104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -154 - -17. Let d = 133 + f. Put 2\/13, d, 0, 1 in decreasing order.\nAnswer: 1, 2\/13, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4430877952 to the power of 1\/3, to the nearest integer?\nAnswer: 1642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4, -37125, 1 in descending order.\nAnswer: 4, 1, -0.2, -37125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -3. Let o = -365 + 365. What is the closest to -1 in -0.4, w, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**5\/20 - y**4\/4 + 2*y**3\/3 + 3*y**2 - y. What is f(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-115 + -6)\/(-2 - 30678\/(-2253)). Let z = -1\/2181 + p. Find the common denominator of z and -58\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/183876 and 91\/396.\nAnswer: 551628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 + -67. Let b(y) = 7*y**2 + 17. Let v be b(i). Is v > 128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 8*o - 8. Let d be c(-6). Suppose -m + d = 2. Solve -10 = m*q - 3*v, q + 2*v + 2*v - 17 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -306 + 2222?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2123507233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 15) + -21 + 49\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(8 - 1 - 1)*(-58 - 1870\/(-44)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t - 10. Let a be s(-6). Suppose 5*w - 4*w - a = 0. Suppose y - w = -7*y. What is the remainder when 1 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3cc3da (base 14) to base 8\nAnswer: 10025414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 0. Let p = 5.08 - y. Let r = p + -5.08. What is the third biggest value in r, -2, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 303*v - 3. Let y be j(0). Put -0.4, -1\/2, 2\/7, y, 931 in descending order.\nAnswer: 931, 2\/7, -0.4, -1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12 - (3 - 10) - 97559)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**2 + 82*x - 168 = 0.\nAnswer: -84, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9740 is divided by 3239.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 826 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7039245 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 672573 from 3.1.\nAnswer: -672569.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 344.19 + -20.19. Sort -0.4, 0, y in increasing order.\nAnswer: -0.4, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 9703.095 days?\nAnswer: 232874.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**7\/140 - r**6\/20 - r**5\/8 - r**4\/8 - 16*r**2 - 4. Let k(l) be the second derivative of m(l). Factor k(u).\nAnswer: -3*u*(u + 1)**2*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*m + 43*m - 240*m + 44*m + 43*m + 40*m - 5*m.\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -105, -101, -101, -111, -137?\n\"Answer: -l**3 + 4*l**2 - l - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3536633 to the nearest one thousand.\nAnswer: -3537000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5656937 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 4*x - 28, -100*g = 3*x - 95*g - 29 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3382425, 6764849, 10147273, 13529697, 16912121?\n\"Answer: 3382424*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141478535?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 45461520 divided by -8095\nAnswer: -5616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -12 + (-651)\/(-56) - (-421)\/1016. Is b at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*c = -253060, -5*d + d + 5*c + 337415 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1552*t + 1 - 1 - 1574*t to v*t + k and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16567.7 + 16568. Which is smaller: -3592 or g?\nAnswer: -3592","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 828 is divided by 60?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j**7*j)\/j)\/(j*j**(-5)))**(3\/7) assuming j is positive.\nAnswer: j**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**2*l*z**2 + 3132*c**2*z**2 + c*l*z**2 - 298*c*z**2 + 8*c*z wrt c?\nAnswer: -6*l*z**2 + 6264*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.246 in -0.03, 455, 3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is c96 (base 13) in base 15?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 5*u + 16, -3*u - 20 = 5*l - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*n**5 + 11*n**4 - 11*n**4)*(27 + 3 - 5).\nAnswer: -850*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95575.\nAnswer: 5, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 4*w**2 + 4. Let u be v(4). Let l(h) = h**3 - 5*h**2 + 4*h. Let m be l(u). Let q = 3 + m. Calculate the remainder when 6 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -6. Let m be 3*(-28)\/(-24)*-2. Let k = o + m. Sort 4, k, 1.\nAnswer: k, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + 2 + 0)*6 + (sqrt(112) + 6*sqrt(112)*-2 - (5 + (sqrt(112) - (sqrt(112) + 0)))))**2.\nAnswer: -280*sqrt(7) + 2849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 42*r - 167*r**2 - 7 + 172*r**2 - 37*r + 2 - 69*r**3. Let i(s) = -276*s**3 + 21*s**2 + 21*s - 21. Give 21*h(m) - 5*i(m).\nAnswer: -69*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2024 and 368.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -504*t**2 - 283 - 240*t - 324*t**3 + 116 + 135.\nAnswer: -4*(3*t + 2)**2*(9*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**5\/15 + 5*h**3\/6 + h**2. Find the first derivative of d(c) wrt c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((644\/(-414))\/(120\/270))\/((-1)\/28)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3)*p*p\/(p**5\/p))**(-3\/20)*p\/p**2*(p\/(p**7\/p))\/p*(p*p**2)\/p**(-7) assuming p is positive.\nAnswer: p**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbtbbtbbbbttttt. What is prob of picking 3 t?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 12:42 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -3*n - 4, -9*n - 40 = -2*b - 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41341, 82936, 124525, 166108, 207685, 249256?\nAnswer: 290821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, v: 1, f: 1, x: 1, u: 1, l: 1}. Give prob of picking 2 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -10*k**4 - 11855*k**3 - 3974320*k**2 - 263242755*k + 132616440 = 0.\nAnswer: -549, -88, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - c**2 - c - 1. Let j = 14 + -16. Let w(u) = -2 - 8*u - 4*u**3 + 0*u + 5*u**3 + 5*u - 3*u**2. Determine j*p(v) + w(v).\nAnswer: -v**3 - v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-275)\/(-11)*(-4)\/(-10))\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 31*g - 158. Give a(12).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - s = -7*y + 1, 0 = -2*s - 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 19634741. Let q(l) = 2*l. What is a(q(g))?\nAnswer: -2*g - 19634741","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -13*v**2 + 5*v - 23. Let b(k) = 7*k**2 - 3*k + 12. Suppose -y - 5 = -2*h + 7, -5*y = 5*h + 15. Let u(f) = y*n(f) - 11*b(f). Does 12 divide u(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1774)\/(-7) + (-40)\/(-70). Let k = n + -1266\/5. Which is the smallest value? (a) 6 (b) k (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b**4 - b**4 + 9*b**4 + (-1 + 1 - 1)*(0*b + 0*b - b**4) - b**3 - 12*b**4 - 12*b**4 - 5*b**4.\nAnswer: -14*b**4 - b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l**2 + 26*l - 54. Calculate r(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 9. Suppose -6 - 3 = -s. Let n be v(s). Suppose 4*j - 19 - 33 = n. What is the highest common factor of 104 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1031, 4, -2, 48 in descending order.\nAnswer: 1031, 48, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.05 and 7265473364?\nAnswer: 7265473364.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 50 - -35?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1016 + -2.8984. Which is the fifth biggest value? (a) 0.2 (b) -4 (c) 42 (d) -2 (e) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*x = 24, x - 2 + 6 = 0. Let s = w + 4. Suppose -4*o + 32 = 4*u, 2*o + o + 4*u - 25 = s. Solve -d - y = o, 10*d + 29 = 5*d - 3*y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2)\/s)\/s)**(-7)*s**(-1\/5)*s*s**2 assuming s is positive.\nAnswer: s**(133\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*c + 46*c + 500 = 0. Sort 4, -4, c in descending order.\nAnswer: c, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-2\/17)))**(-43)*u**(-9\/4)*u**(-2\/31) assuming u is positive.\nAnswer: u**(-15543\/2108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -211596 or -423193\/2?\nAnswer: -423193\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1386*k + 8072 = 278 - 28242 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 25*l**2 - 85*l + 37. Let n = -4884 + 4912. Give v(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2157 (b) 2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*d - 42*d - 46*d - 94*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**7\/840 - n**6\/45 + n**5\/15 + n**4\/2 + n**3\/6 - 3*n**2. Let m(p) be the first derivative of h(p). Is m(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 7*d**2 + 4. Let p = -57 - -81. Let t(r) = -p - 21 + 42 - 6*r**2. Let g(c) = 3*k(c) + 4*t(c). Find q such that g(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w**2 - 18001*w - 587505. Determine v(-2217).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-521)\/(-30218)*48\/4.\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 12*m**2 - 14*m - 9. Give x(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4161 by 19.\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 715699.\nAnswer: 715699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -46669 divided by 14\nAnswer: -6667\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 8:31 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minus 942?\nAnswer: -688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/(r*r**(-1\/3)))))\/(r**(-4\/7)*r))\/(r\/r**2)**(-27\/2) assuming r is positive.\nAnswer: r**(-571\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 2*f**2 - 3*f + 1. Let p(g) = -g - 15. Let c be p(-14). Let z(s) = s**2 + s - 1. Let u(x) = c*k(x) - z(x). Factor u(a).\nAnswer: -a*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 957394?\nAnswer: 2, 478697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 686934 to the power of 1\/2, to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 341, 895, 1849, 3389, 5701, 8971, 13385, 19129?\n\"Answer: 31*g**3 + 14*g**2 + 295*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 1. Let w(o) = o. Give 3*w(y) - x(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - 50. Let g be 2\/r - ((-428)\/28 - 5). Which is greater: g or 19?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2.1. Let k = 0.5 + -0.5. Which is the nearest to y? (a) k (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + a - 65*a**3 + 2*a**2 + 64*a**3 + 3762.\nAnswer: -a**3 + 4*a**2 + a + 3762","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -59. Suppose 166 = 5*a - w. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/1287809 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 3 = -5*q + 3*r, -3 = -2*q - 5*r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003968 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2341533631 to the nearest integer?\nAnswer: 48389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 977 + -878. Calculate the remainder when l is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*(-2)\/(-8))\/(-38*(-57)\/51984)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 883 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98216, 2, -43, 7.\nAnswer: -43, 2, 7, 98216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f + 64. Let c(y) = 3*y**3 - 92*y**2 - 22*y - 266. Let r be c(31). Calculate q(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2.773929 days?\nAnswer: 239667465600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (71 - (41 + -13)) - 83\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 317*k + 1616. Let y be m(-5). Solve -y*x - 35 = -38*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/20*150\/(-20). Which is the fourth biggest value? (a) 4 (b) o (c) 0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 2\/3 (c) -4 (d) -5 (e) 4111 (f) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2*k**6*k*(k\/k**(-2\/7))\/(k**(-1\/4)*k*k))\/(k**6*k*k*k\/k**(-1\/8)*k*k*k**(2\/17)\/(k*k**(1\/5))) assuming k is positive.\nAnswer: k**(-7173\/4760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((-9 - 0) + 1 + 12).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003445516421 rounded to 5 dps?\nAnswer: 0.00345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 - 42*f**3 - 708*f**2 - 2790*f - 3375.\nAnswer: 3*(f - 25)*(f + 3)**2*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 4 + 9 = -3*y, 5*k = -5*y - 35 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 + u + u + 0*u + (3*u**2 - 4*u**2 - u**2)*(3*u - 3*u - 2*u**2).\nAnswer: 3*u**4 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -100000231111 (base 4) to base 6\nAnswer: -225543301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -19*l**6\/120 - l**5\/60 + l**3 + 66*l**2. Find the third derivative of s(d) wrt d.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-114)\/(-9))\/((-1)\/(-3)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/776 and 3\/4.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0*m - 2 + 28 - 15 - 5*m - 3.\nAnswer: -5*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gng when three letters picked without replacement from {b: 4, a: 1, n: 2, v: 6, g: 3}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -3, -6.\nAnswer: -6, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (484\/(-1331) - (-2906)\/8052)\/((-26)\/318) and 13\/1098.\nAnswer: 14274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 648 = -4*o, 5*o - 167 = -4*r + 454. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5920.42 and -1.8?\nAnswer: -10656.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**2 + 2*v - 7. What is a(5)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*w - 106, -2*w = -13 + 3. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - 71) + 17 + 18 - -54?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine sixths of a millennium in months?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388376 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 - 39. Let d be (21\/14)\/(s + 6\/16). Factor -w**3 + 7\/2*w**2 + w + 0 - 7\/2*w**d.\nAnswer: -w*(w - 1)*(w + 1)*(7*w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + r**2 + 26*r + 28. Let l be x(-8). Which is smaller: -2\/27 or l?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 68*f**2 + f. Let b be h(1). Suppose -13 = 4*k - b. Suppose 0 = 2*u - u - k. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -294*o**3 + o**2 + 18711*o?\nAnswer: -1764*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 4*a + 116046, 0 = 79*z - 81*z + 4*a + 77404. What is the greatest common divisor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1039 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 4, -3, 6, -2, -17?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 c when three letters picked without replacement from lfjleceeej.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8*w + 292 = 0, -18*m + 3*w = -16*m - 190. Solve -98*f + m*f + 18 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5644 and 99268.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 13\/2, 42, 244 in ascending order.\nAnswer: 13\/2, 42, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 329548*i*l**3 + 84*i + 532 with respect to l.\nAnswer: 988644*i*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 15 = -8*p - 5*g, 0 = 3*p + 5*g + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59 - (-64 - -116)) + 54.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 8*l = -2647*x + 2641*x + 37, 0 = 4*l + 2*x + 14 + 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z = -20*z + 6080. Let o = z - 65. Calculate the greatest common factor of o and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7177 is divided by 104.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, w: 2, b: 11}. What is prob of picking 1 m and 1 b?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**2 - 50*h + 96*h - 46*h + h**2.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbqzeaef. Give prob of picking 2 f and 2 e.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571007 to the power of 1\/2, to the nearest integer?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -9007 at most -5617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*v - 90*v + 21 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20601510 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 516855404 to the power of 1\/2, to the nearest integer?\nAnswer: 22734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2.024+2372221214\nAnswer: 2372221211.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 221, 328, 437?\nAnswer: 548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**4 + 65500*z**3 - 265402036*z**2 - 22476460188*z - 22210992648 = 0.\nAnswer: -82, -1, 8229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -0.06, -4\/13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + n + 13, -3*n - 11 = -5*d + 19. Calculate the remainder when d is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19882743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w**3\/w*w*w)*w**(-2)*(w**0*w*w)**(-1\/16))\/(w\/(w*w\/(w*w\/(w\/((w*w**0)\/w)))*w)*w**(-2\/7)*w**(2\/3)*w*(w*(w*w**(-2))\/w)\/w) assuming w is positive.\nAnswer: w**(-925\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from zdzbbd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 23*m**2 + 5 - m**3 + 40*m + 27*m**2 - 33*m**2. Let t be y(19). Suppose -101 = -6*c + t. Calculate the remainder when 67 is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 - 27 + 17)*(-3*k**2 + 4*k**2 - 3*k**2)*(-3 + 1 + 0) to m*k + a*k**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 47 = 4*l - 6, -i = 4*l - 23. Suppose i = 5*r - 4*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, c: 3}. Give prob of sequence wcw.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0, -33.906, -0.017?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 4 - (-13 + 7)) + 0\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*x = -783, 109 = h + 4*x - 144. Let q = -3979\/15 + h. Is -1 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 223*a**3 - 603*a**3 + 9*a**2 + 8*a**2 + a - 17*a**2 as k*a**2 + f + b*a**3 + o*a and give b.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 6947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j - 6. Is q(-5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13 <= 0.15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -129 - -125. Let h(m) be the second derivative of -m**4\/6 - 2*m**3\/3 - m. What is h(b)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + y + 1 = 0, -7*y + 37 = -2*r + 108 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - b)*(0 + 0 - 5*b) + b**2 + 2*b**2 - 4*b**2 + 10 - b**2 - 10.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -4*l + x, 3*l - 5*x = l - 33 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -6. Suppose d = -4*z - z. Let f = -1399656 - -1399656. What is the closest to z in -0.3, f, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13984740 divided by -166485.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3*g*g**(-9))\/(g*g**3\/g*g*g**1\/g) assuming g is positive.\nAnswer: g**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7b7b (base 13) to base 16\nAnswer: -43bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 466 = 7*f + 424. Let r(l) = -l**2 + 8*l - 11. What is r(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6603*r + 9 + 26391*r - 1 - 6590*r - 1 - 6597*r - 6595*r.\nAnswer: 6*r + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**4\/4 - h**3\/6 + 3*h**2\/2 - h + 16. Let f(b) = b**3 + b**2 + b - 1. Calculate a(t) + f(t).\nAnswer: t**3 - 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19397.85 decades in months?\nAnswer: 2327742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 129400*x + 2329463. Determine q(-18).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 6. Let x(p) = 11 - 5 - 5. Suppose -640 = -3*n + 8*n. Let k = n + 126. Give k*f(b) - 11*x(b).\nAnswer: -2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**4\/12 + p**3\/6 + 8*p**2 - 5*p. What are the prime factors of d(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.1 + -9. Which is the nearest to s? (a) -0.1 (b) -3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4961061089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*i = -10, -17 = 5*h - 4*i + 3. Suppose -4*b + 11 + 1 = h. Solve -b*q = -4*g - 14, 0 = 5*g - 4*q + 8*q + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 126650369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283 - 276 = 13*u - 11*u + l, l = -3*u - l + 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvypbpb. What is prob of picking 1 y, 1 p, and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16\/21 + -10\/21. Which is smaller: 2\/19 or h?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, c: 2, h: 3, r: 3, s: 6}. Give prob of picking 2 c and 2 z.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -0.73144627.\nAnswer: 1.26855373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjt when three letters picked without replacement from jtttpjtpjt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2964739.000142 + -2964907. Let p = a - -168. What is p rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 418508, 836679, 1254850, 1673021, 2091192, 2509363?\nAnswer: 2927534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*j - f - 1 = 51*j, 4*f - 24 = -2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134035 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 - -4. Let i be (-5258)\/h + (-1)\/3. Find the second derivative of -55*t - 62*t - 43*t**2 + i*t wrt t.\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 357881500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6.473174 seconds?\nAnswer: 6473174000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -49, -76, -105, -136, -169?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.063838 + -2.608862. Round j to two decimal places.\nAnswer: -2.67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -432200*-0.5\nAnswer: 216100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-18) + 76\/18. Find the third derivative of -g*f**5 - 2*f**2 - 25*f**3 + 25*f**3 wrt f.\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.2 - -8.8. Let o = z + -22. Is o less than or equal to 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87530 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {u: 3, o: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 6*n - 32. Let y be 3\/n + 126\/15. Calculate the greatest common factor of 12 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8417*x + 7526*x + 18711 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-4) + (-3)\/6. Suppose 2*n = -n - 9. Let y be (-4)\/s - (-2 - n)\/(-5). What is the highest common divisor of 11 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1102127 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 5*r**2 + 3*r + 4. Calculate g(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 161532493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/52709)\/(136\/(-48)). Let y = z - 26212238145\/19713166. Let o = y - -1330. Find the common denominator of o and -21\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t - 112*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*d - 1984 - 2303 = -287*d + 1923 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6\/5 (b) -3 (c) 11\/3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 236 + -243. Let f(z) = z**2 + 8*z - 8. What is f(r)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 2*l - k = -6, -3*l + 18 = -3*k. Suppose 5 = -l*q + 31. Find the second derivative of -30*d**2 + q*d + 9*d**3 + 30*d**2 wrt d.\nAnswer: 54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -9) + (-4 - 2) + 3 - 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crmcclcrmcmmls. What is prob of picking 2 m, 1 r, and 1 l?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddd. What is prob of sequence ddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -129*b**2 - 1. Let m(t) = -t. Determine u(m(n)).\nAnswer: -129*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*z**2 - 3 + z**2 + 0*z**2 - 1 to f*z**2 + n*z + p and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 72 - 10. Let f = l + -15. Calculate the greatest common factor of 208 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -10. Let r = z + 7. Let q(k) = k**3 - 2*k**2 + k - 1. Let s be q(2). Sort s, r, -1 in descending order.\nAnswer: r, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19*35\/(-176890)*3*84\/108.\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 4*d**2 + 7*d**2 + 0*d - 2*d - 1. What is k(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 2*m + 2*n, -2*m + 21 - 75 = -2*n. Is 24\/m + 86848\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 159 = -45. Let s = 98 + j. Let m be (8\/s)\/(20\/6). Which is the third smallest value? (a) m (b) 1\/3 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/10)\/((-2)\/(-10)). Suppose p - k + 1 = 0, -4 = -0*k - 2*k. Let g(o) = -p - o - 3*o - 2. Determine g(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1463+0.0939\nAnswer: -1462.9061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 105*i**2 + 22901. Let o(m) = 13*m. Give o(y(c)).\nAnswer: 1365*c**2 + 297713","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -5141000 to the nearest one hundred thousand.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 55166618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6*o = -16. Solve -o = 3*a + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 138 = 2*h, 3*x - 290 - 55 = 5*h. Let i = -29 - h. Suppose -4*o + 5*f + 40 = 0, i = 4*o - 5*f + 4*f. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 - 111222?\nAnswer: -112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 18 - 8*b**2 + 16*b - b**3 - 57 - 8*b**2. Let i be v(-17). Let z be (-1)\/(-4)*-1*i*36. What is the greatest common divisor of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 680 and 20?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/40 and -61\/580?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 28*y + 54. Let d be o(-26). Let i(b) = -5*b**d - 56*b**2 + 23*b**2. Let f(j) = 2*j. Give i(f(k)).\nAnswer: -152*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a - 27*a = -6. Suppose -a - 3\/2*r + r**2 = 0. What is r?\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, -73, -261, -397, -463?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**3 - 8*j**3 - 119 + 0*j**3 - 113 + 4*j**3 + 233.\nAnswer: -13*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(2))\/sqrt(2) + -1 + sqrt(57)\/sqrt(3) + sqrt(76)*2 + -4 + 1.\nAnswer: -4 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + 27 + -46 + -40 - -29.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 2670 = 3*s. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkcw. Give prob of sequence ck.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1083448938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 518 + -518. Suppose 9*w = 7*w, y = -4*r - 3*w + 48. Calculate the highest common factor of r and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 9:14 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -345\/100568?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 27*d**2 - 3*d + 3. Let c(z) = 3*z**2 + 19*z. Let l(g) = 39*g**2 - 100*g + 5. Let v(b) = 5*c(b) + l(b). What is -5*j(u) + 3*v(u)?\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12025474519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 8*j + 45. Let p(o) = -3*o - 15. Let a(l) = 11*p(l) + 4*q(l). Let x be a(15). Solve -2*z - 6 = -3*d - 3, x = -2*z - 3*d + 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-735)\/70*(-3)\/(-21).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (234\/(-21))\/((-7)\/(-49)). Let i = l - -79. Is 22 a factor of ((-1386)\/45)\/(i + 12\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 5:36 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-1\/11)*q**(-28))**(-4\/5) assuming q is positive.\nAnswer: q**(228\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**3\/3 + q**2\/2 + 32*q - 3. Does 16 divide b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((((sqrt(176)\/sqrt(4) - sqrt(44))*-4)\/((2*sqrt(12) + sqrt(12))\/sqrt(3)) + -2*(1 + sqrt(2816)))*2)**2.\nAnswer: 2048*sqrt(11) + 180288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 13*h + 7. Let u(b) = 24*b + 14. Let g(l) = -11*a(l) + 6*u(l). Let k be g(-1). Calculate the greatest common divisor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.8 - -3. Let m = -10.2 - -7.5. Let v = 0.3 - m. Which is the nearest to 0? (a) 2 (b) j (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -607*a**2*b**3*c*u + a**2*b**2*u + 3*a**2*u - 21*a*b**2*c*u + 37*a*b + 11*b**3*u wrt c.\nAnswer: -607*a**2*b**3*u - 21*a*b**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33\/5 + 28\/70. Find the first derivative of 0 + 4 - s*p - 1 + 1 wrt p.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(105\/6)*20\/(-1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77649 is divided by 25883.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -250 - -254. Calculate the remainder when 281 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 542.9, -2\/9, 4, -0.5, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000014455681 to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2670894?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9 - (-2816)\/248 - 4. Is g <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 5599868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/4, 62\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 2*u + 3*u - 11*u - 672 for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/25 of a millennium?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-26)*r**(-1\/21) assuming r is positive.\nAnswer: r**(-547\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2324690 is divided by 7647?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**3 + 16*d**2 = 0.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 990 and 1100?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/78 and 61\/21.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 44 = -4*g, -m - 5*g + 9 = -4*g. What is the least common multiple of 2 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -6*t**2 - 7*t + 8*t**2 - 3 - t**3 - 8*t**2. Calculate a(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/52124 and -41\/4.\nAnswer: 52124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/5))**(-26))**(-2\/9)\/(f**(-5)\/f*f\/(f\/(f\/(f\/f**3)))*(f**2\/f)\/((f\/(f**(1\/8)*f))\/f*f)) assuming f is positive.\nAnswer: f**(1507\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1706 (b) 2.1 (c) -11 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16577714*g + 11988714 wrt g.\nAnswer: -16577714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6169.29m?\nAnswer: 6169290000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*w + 52*w - 22*w - 39 - 18*w.\nAnswer: -3*w - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 x when four letters picked without replacement from xhxhhhh.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*w**3 - 93*w**3 - 72*w**3 - 77*w**3 + 456*w**3 - 71*w**3 - 70*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6340 - -266?\nAnswer: 6636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*m**2 + 66*m**2 - 1 + 1.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489*z + 184 = -492*z + 963*z + 1372 for z.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001862216 to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*j = -7820, -2*g = -4*j + 2*j - 7808. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.075 + -22.72. What is u rounded to 1 dp?\nAnswer: -34.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)\/(sqrt(8)*-4*-1)*-6)\/((4*sqrt(16) + sqrt(16))\/sqrt(8) + 5*sqrt(2)*-5))**2.\nAnswer: 117\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -109.57107 + 0.05107. Let j = -112 - g. What is j rounded to 1 decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = -5. Let v(n) = -n**2 - 5*n + 1. Let x be v(c). Let f(p) = -4*p**3 + 2*p + 7. Let b(i) = 3*i**3 - 2*i - 6. Calculate x*f(w) + 6*b(w).\nAnswer: -2*w**3 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c + 6*c - 3*c. Let x(v) = -v**2. Give f(x(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, a: 14}. Give prob of picking 3 r.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -33, -1\/7, 8, 0, -2\/5 in descending order.\nAnswer: 8, 0, -1\/7, -2\/5, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/8)\/8)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -141\/286 + -1\/143. Let b be (-2)\/(-9) + -1 - -1. What is the biggest value in -2, f, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-280)*28\/12 - 15\/(-26)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34232460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00293167852 to 6 decimal places.\nAnswer: -0.002932","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 73 + 5472?\nAnswer: 5525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 13*y**2 - 158. Determine w(-16).\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 9*n. Let j(i) = -1 - 1 - 3*i**2 + 2. Calculate j(r(p)).\nAnswer: -243*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 195 = k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -1.2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 + (-5)\/18 - 3 and 119\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2, -4, -2, -122?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4032)*-1 + sqrt(504)\/(sqrt(8)*2))\/(sqrt(27)\/sqrt(3)*-6 + 2*sqrt(225))*-1)**2.\nAnswer: 1575\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/(sqrt(768) - sqrt(12)) + sqrt(35))\/((sqrt(50)*4)\/sqrt(10)).\nAnswer: 2*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6740117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2328 - -253. What are the prime factors of m?\nAnswer: 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-4)*160\/24. Let i = u - 8. Let c(j) = -60*j**3 - 2*j**2 + 3*j + 4. Is c(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -28*b + 315. Determine x(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -2*v**6\/15 + v**4\/24 + v**3 + 67*v**2. What is the derivative of f(j) wrt j?\nAnswer: -48*j**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/4 - 302377*f\/2 + 91431850129\/4.\nAnswer: (f - 302377)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 68543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 5*o**2 + 3*o - 3. Let w(x) = x**2 + 5*x - 7. Let z be w(-7). Suppose -2*c + z = 3*k - 8, 4*k + 2*c = 20. Calculate a(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {x: 6, y: 5, w: 1, v: 7}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110100101110101011111 (base 2) to base 14.\nAnswer: -717d39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/26))\/(q**3*q*q)*(q*((((q*q*q\/(q*q\/q**(1\/5)))\/q*q)\/q)\/q)\/q)**(-31))**(-15\/7) assuming q is positive.\nAnswer: q**(-8097\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 15633*g - 29. Let m(t) = 5211*t - 8. Let z(v) = -6*k(v) + 19*m(v). Differentiate z(j) with respect to j.\nAnswer: 5211","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148695 is divided by 148691?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*y - 2 = -d, 5 = 5*y. Let v be -2 + (1 - d - -6). Let p(w) = -v + 4 - 2. Let a(r) = -r - 1. Give -a(l) + 3*p(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6484 divided by -4\nAnswer: 1621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 9*c**2 - 11*c - 3. Let o(w) = 5*w**2 - 4*w - 2. Let l(v) = -10*v**2 + 7*v + 4. Let i(g) = 2*l(g) + 5*o(g). Determine 7*i(x) - 4*t(x).\nAnswer: -x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**3 - x**3 + 5*x**2 - 4 + 24*x**3 - 9*x - 11*x**3 - 4*x**3.\nAnswer: 11*x**3 + 5*x**2 - 9*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1086*x**2 + x**3 - 1087*x**2 - 117*x**4 - 170*x**4 + 41*x**4 to the form l*x**4 + r*x**3 + a*x + q*x**2 + y and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 3*i**2 - 2*i - 9. Suppose -4*m = -6*m + 8. Let r be o(m). Let y(a) = -21*a. Is y(r) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/322673 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 49642 = -0.39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -950.000656 - -950. What is q rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(2 - 2 - d) - 70*d + 507*d + 32*d.\nAnswer: 470*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 40) + 37 - 39.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 463 = -k + 5*i, -231 = -2*k + 3*i. What is the second derivative of -k*l + 21*l**4 - 181*l - 3*l**3 - 3*l**3 + 2*l**2 + 6*l**3 wrt l?\nAnswer: 252*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*x - 35*x - 42*x + 454.\nAnswer: -x + 454","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 139, 209, 279, 349?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 369, 31, 0.3, 15, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 962692 = -262*a + 4160951 + 2614997. What are the prime factors of a?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*x + 5803 = 115*x. Are x and -828 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3018661 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 88662.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 8*x**2 + 2*x + 12. Suppose -4*z + 3*f + 23 = 0, z - f + 11 = 2*z. What is b(z)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p. Suppose -3*w - 2 - 4 = 0. Let x = w + -1. What is a(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 5*g + 206, d + 773499*g - 773498*g + 42 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 + 43. Let z(g) be the first derivative of 0*g**2 + 0*g**5 + 0*g + 2\/7*g**7 + 0*g**6 + g**3 + t*g**4 - 2. Find the third derivative of z(w) wrt w.\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -161.28 + 3.28. Let d = 97.5 + t. Round d to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 246259031 to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -2. Suppose q + 4 = 4*n. Solve 0 = -n*k + 5*y + 11, 0 = -0*k + k - 5*y - 14 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104655534 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**2 - 1184 + 1589 - 3*x**2)*((1 - 4 + 2)*(3*x - 2*x + 0*x) - 6*x - 18*x + 4*x) - x**3 + 0*x**3 + 2*x**3.\nAnswer: -41*x**3 - 8505*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 14. Let b be 46\/k + (-3)\/(-9). Let u = b + 4. Calculate the highest common factor of u and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 27*o**2 + 6*o + 79. Let h be m(10). Suppose -h = 7*k - 24*k. List the prime factors of k.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 8*n - 11*n + 7*n - 1. Let j be f(-12). Which is the third biggest value? (a) -5\/2 (b) j (c) -6 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 352629.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 z when three letters picked without replacement from {n: 2, z: 4, q: 1, p: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 - 10*x**3 - x**3)*(-6*x**2 + 0*x**2 + 4*x**2 + (-1 + x + 1)*(-x + 1 - 1)) + 0*x**5 - x**5 + 2*x**5.\nAnswer: 28*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10246\/777 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 69395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.52599 rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16423 is divided by 523?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 323 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.96 minus -17907618.7?\nAnswer: 17907621.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 2*n + 5038, n = -5*t - 4*n - 6260. Let v = -612 - t. Does 43 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2655.4 - 2697. Let w = 19 - 61. Let o = s - w. Which is the closest to 0? (a) -5 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4605 + -73733\/16. What is the common denominator of -11\/3 and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1298\/1605? (a) -1\/2 (b) 15 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 5*w**2 - 13*w - 7. Let z be x(7). Which is the nearest to 4? (a) z (b) 0.07 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 169.999383 + -170. What is c rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 44 = -4. Let a be o + 1 + (7 - 4). Suppose 64 = 4*u + 2*h, u + 3 - 1 = 4*h. What is the highest common divisor of a and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(242) - -2*sqrt(242))*-2)*2)**2.\nAnswer: 1056*sqrt(2) + 34864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3612, -7386, -11160, -14934, -18708?\nAnswer: -22482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-60)*-4 - (-284)\/6. Let l = 7818\/7 + -61837\/56. What is the common denominator of l and ((-115)\/x)\/5*(1 + 0)?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + 5*r**2 + 4*r**2 + 1 + r**2 - 1 + (-r + 2*r - 2*r)*(3*r + 3*r - 4*r).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26299503 is divided by 57674.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -12. Let y be (2\/o)\/((-6)\/15). Suppose 0*m = -m + y. What is the remainder when 1 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2. Let b(a) = a**3 + 14*a**2 + 39*a + 182. Let d be b(-12). Let q(h) be the first derivative of -5\/2*h**d + 0*h + 1. What is q(y(u))?\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*a*r**3*v + a*r**3 + 6*a*r**2 - 3*a*r*v - 2*a*r + 3*a*v with respect to v.\nAnswer: 18*a*r**3 - 3*a*r + 3*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 31) + 7 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4057537.605 to the nearest one hundred thousand.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*v**3 + 2*v**3 - 4*v**3 + (4*v**2 - 4*v**2 + 2*v**2)*(-v + 2*v + 0*v) - 3*v**3 + 2*v**3 - v**3.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 71 = 2*b - 10, -10 = 2*b. Let m be n\/108 + 4\/(-18). What is the nearest to m in 0.5, -1\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/54 and -79\/1080?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*q**4 + 18*q - 12*q**4 - 2*q**3 + 50*q**4 - 13*q**4 + 2 - 13*q**4 to the form r + y*q**2 + j*q + m*q**4 + u*q**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 8*k - 39*k)*(-9*k + 9*k + 5*k**3).\nAnswer: -245*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -524694, -524697, -524700, -524703, -524706, -524709?\nAnswer: -524712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/4)\/(-3))\/((-33)\/44).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6953 (base 10) in base 3?\nAnswer: 100112112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*d = 373*d + 65*d + 434*d - 108768 for d.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**2\/2 - 156*c + 309\/2 = 0. What is c?\nAnswer: 1, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 1e42?\nAnswer: 1e40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -209297985 - -209297580.000789. Let h = l + 405. What is h rounded to five decimal places?\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3151)\/(-2877))\/(207\/(-162))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 237? (a) 0.2 (b) -2 (c) 0.3 (d) -4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9835 - -5176. Round l to the nearest one hundred.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(44) - (sqrt(352)*1)\/sqrt(8) - sqrt(176)\/sqrt(4)*-2))\/(-6*sqrt(400)*4*4).\nAnswer: -sqrt(11)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - x + 56. Let p be n(0). Let t = p - 42. Let u = 13 - 11. Solve 2*r + t = u*q, r - 4*r = 3*q + 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 7:48 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + z + 4. Let l be y(0). Which is the closest to l? (a) 4 (b) 0.4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from {y: 13, d: 3}.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3514 + 3960. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 3)*(-31 - 221*v**2 + 221*v**2 + 2*v**3).\nAnswer: -4*v**3 + 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -361679394*f + 58870435 wrt f?\nAnswer: -361679394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 305797 to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -512, -923, -1350, -1799, -2276, -2787, -3338, -3935?\nAnswer: -4584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63093 * -6018.\nAnswer: -379693674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15 - (-5)\/((-15)\/(-12)). Suppose -5*s + 9*v - 8*v - 50 = 0, -4*s + 5*v = c. Let f(z) = z + 5. Give f(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 6*u**2 + 9*u + 19. Let m be h(-7). What is the greatest common factor of 125 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {g: 1, k: 2, d: 1, e: 1, i: 1, z: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 63*i**3 + 2*i**2 - i. Let b be n(1). Suppose -3*w = -214 + b. Suppose -3*l - 5 = -w. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -2e?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3835 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6884*w**2 + 555356585*w + 6877*w**2 - 555356585*w.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -10121*g**2 - 13*g - g**3 - 10115*g**2 + 20238*g**2 as t*g + k + w*g**2 + v*g**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + c + 18. Let x be m(5). Let v be (((-1)\/3)\/(-1))\/(x\/(-24)). Solve -2*b + d = -9, 24 = 9*b - v*b - 3*d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4\/2 - 3503*n**3\/2 - 52247*n**2\/2 + 254567*n\/2 - 99408 = 0. What is n?\nAnswer: -3488, -19, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15914 divided by -927?\nAnswer: 15914\/927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by -2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 7*u - 5*u - 21, -u + 14 = -6*f. Let x be ((-1)\/(-2))\/(1\/(-10)). Let z(b) = b**2 - 4*b + 1. Let y be z(2). What is the nearest to f in x, y, -9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8259*x = -8440*x - 11584 for x.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 49 = -59*d - 51*d - 167, 0 = 2*d - 8*u + 9*u + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 29\/5 - (-20)\/(-25). Suppose -13 = -2*t + 39. Suppose 0 = 3*a - t - 4. Calculate the highest common factor of a and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qobobnbnonn. Give prob of sequence qn.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-19 - -5) + 1 - -18. Solve a = -m - p, -4*p = -3*m - 29 + 56 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 256603?\nAnswer: 256603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 + 3*s**2 + 2*s - 2. Let v be k(-2). Let g = v - -14. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-302)\/888 + 58\/12*(-330)\/(-4785)).\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2. Let b(w) = -611*w + 3. Let g(d) = 613*d - 3. Let f(l) = 5*b(l) + 4*g(l). What is x(f(u))?\nAnswer: -363609*u**2 + 3618*u - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 9*z**2 - 5*z + 46. Let k be l(9). Suppose -3*r + k = -2*x, -3*r = x - 4*x - 726. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30380 - 15192 - 15188 + 5105*x**2 + 18895*x**2 + 6579*x**2)*(-4 + 6 - 4) to z + d*x**2 + g*x and give d.\nAnswer: -61158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o**2 + 5*o + 1. Let x(f) = -11*f**2 - 2*f - 197. Let b(i) = 9*i**2 + 2*i + 169. Let d(s) = -7*b(s) - 6*x(s). Calculate -5*d(c) - 2*p(c).\nAnswer: -c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 946580 and 124.\nAnswer: 29343980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20\/67227 (b) 0 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 818*u**2. Let l(h) = 4*h. Calculate p(l(n)).\nAnswer: 13088*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/26 + 0)*(-263)\/(-789). Find q such that 2\/13*q**2 + 0*q - d = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91 - 457. Let m = o + 111. Let l = m + 389. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -495*l + 2. Let s(j) = -j - 23. Let f(o) = -2*o - 23. Let r(n) = -f(n) + s(n). Determine r(h(t)).\nAnswer: -495*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 815 a factor of 411837285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4+-205\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**4\/28 + 3*q**3\/7 - q**2 - 78. Suppose w(c) = 0. Calculate c.\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + h - 1. Let o(r) = -8*r**2 + 3*r - 4. Let c(l) = -o(l) + 5*w(l). Let y = -204 + 202. Determine c(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 7*u**2 + u + 5. Let k be w(7). Suppose 0*b = -4*b - k. Let z = -5.4 - -5. What is the biggest value in b, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -1 (c) -0.7 (d) 2\/7 (e) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8591646 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 1269532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 5:20 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.18, -10, 0, -0.04, 0.4 in increasing order.\nAnswer: -10, -0.04, 0, 0.18, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*-2*(0 + sqrt(304))*-2.\nAnswer: -96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 54.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -65949, -131434, -196451, -261000, -325081, -388694?\n\"Answer: 234*a**2 - 66187*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 68\/(-18) - 4\/18. Let j = -17\/18 - -7\/9. What is the nearest to -1 in j, 4, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmbbmaububbmm. What is prob of picking 2 u?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7759 divide 2184862211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (648\/28)\/((-2121)\/4949).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from aapex?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5622\/5 + -101041\/90. Calculate the common denominator of (-293)\/(-180) - (-6 - -8) and z.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3228230 by -2.\nAnswer: -1614115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42134 + 0.00069.\nAnswer: -42133.99931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -26*t**2 - 5*t - 4. Let p(o) = 9*o**2 + 2*o + 1. Calculate 4*l(x) + 11*p(x).\nAnswer: -5*x**2 + 2*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 5*v - 6. Let w be l(-6). Let g = 0 + w. Suppose g = -4*u - r, -2*u = -2*r - 2*r - 18. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, g: 3}. What is prob of sequence oo?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -121 + 155. Calculate the remainder when 117 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b - 3. Let o(w) = -9*w - 6. Let x(j) = j + 1. Let z(r) = o(r) + 15*x(r). What is 17*v(d) + 6*z(d)?\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -273 + 277. Sort 0, w, 68 in increasing order.\nAnswer: 0, w, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -6 + 6 + (-15 - -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*v - z = -75, -4*z = -4*v + 100. Suppose 5*q - v = -0*q. Solve -k + 3*j = 4*k, 0 = -q*k - 2*j - 22 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, n: 5, q: 2}. What is prob of sequence nqmq?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 815199 - 815187. Solve -11\/3*d**2 - 20*d**3 + 20*d + a - 25\/3*d**4 = 0 for d.\nAnswer: -6\/5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 369 (base 13) in base 3?\nAnswer: 211000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*u + 9 = -67*u. Let k be (-170)\/u*1 + 34\/306. What is the highest common factor of k and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c + 6. Let x be f(3). What is the highest common factor of 48 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 3*y**2 + 3*y + 1. Let d(t) = 2*t**2 + 2 - t - 4 + 4 - 50*t**3 - 47*t**3 + 92*t**3. Let s be d(1). Determine f(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 9*u - 9*u)*(-5*u**2 + 8*u**2 + 2*u**2).\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18146577 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and ((94716\/180)\/((-3)\/(-10)))\/2?\nAnswer: 2631","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4748 divided by 2\nAnswer: -2374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1641 - -5?\nAnswer: 1646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 9, -4*q = -0*q - 4*m - 196. Let d = -1439 - -1438. What is the nearest to 1\/4 in q, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y**2. Let h be 1\/2*-1*-168. Let r be h\/48 - 1\/(-4). Let o(x) = r + 0 + x**2 - 2. What is o(j(v))?\nAnswer: 25*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46759*o**4 + 105186?\nAnswer: 187036*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7\/(21\/(-15))*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29556, 29624, 29734, 29886, 30080, 30316, 30594?\n\"Answer: 21*b**2 + 5*b + 29530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3)\/z**(-6\/5))\/((z*z*z*z**(-1\/9)*z*z)\/z**(2\/5)) assuming z is positive.\nAnswer: z**(-163\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from aazeiexyaiiieeaieeia?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -119.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2355500128?\nAnswer: 2, 47, 1049, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - a**2 + 57. What is p(0)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1261.2 + 1263.2. Put 6166, 5, w in descending order.\nAnswer: 6166, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.8028515 rounded to 1 decimal place?\nAnswer: 102.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 5*g - 193, -1306*w + 5*g = -1301*w - 315. Which is bigger: 542\/9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3297.\nAnswer: 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12305 (base 8) in base 10?\nAnswer: 5317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**1*o*o)**0)**(2\/75))**48 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*l = 35, -k + 3*l = k - 23. What is the remainder when 1008 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**3 + 28*h**2 + 14*h. Let y be f(-5). Let l be 8\/(-14) - (1 - 1). Let i = -153\/4 + 38. Which is the closest to -0.1? (a) i (b) l (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 + (-2)\/(8\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**3 + 17*p**3 + 2*p**3 - 27*p**3 + 9*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llooollollloolol. What is prob of picking 2 o?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide (-1 + 30596\/32*6)*(-19 - -23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55835*b + 55904*b - 1 + 6 to the form j + l*b and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a decade?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0 + (-3 + 0 + 1)*(5 - 1 - 5) - 4 + 3 + 3 + 5 + 1 - 4 + 5 + 1 - 5)*(2 + 0 + 0)*(-4*x + x - 3*x).\nAnswer: -96*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 3*r**2 + 2*r + 1. Let d = 5 + -3. Suppose -4*c + 2*y = -d, 2*c - 14 = -5*y + 5. What is f(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 227\/5 or 6?\nAnswer: 227\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 0*b**2 + 0 + 24*b + 27\/160*b**5 + 1\/4*b**3 - 5\/8*b**4. Factor s(c).\nAnswer: 3*c*(c - 2)*(9*c - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c**0*c)\/c*c)\/c*c**(1\/10)*c**(-1\/2)\/c**(-7)*(c*c**(1\/4))**(-26\/7)*c\/(c*(c**0\/c)\/c*c)*(c\/c**(2\/15))\/c assuming c is positive.\nAnswer: c**(803\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6043087 is divided by 262742.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1100 = 26893*d - 26838*d for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 + 120*z + 7. Let u be q(-40). Let d(j) be the second derivative of j**5\/20 - j**4\/2 - j**3 - j**2\/2 - j. What is d(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17700 divided by 708\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65873?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4354627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*a**5 - 7*a**4 - 2321*a?\nAnswer: -680*a**3 - 84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3654\/210 + -1 + (-16)\/(-10). Which is bigger: 17 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/5, 18, 2\/19 in increasing order.\nAnswer: -1, 2\/19, 1\/5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 23*h**4\/2 - 31*h**3 + 16*h**2 - 2*h. Find the first derivative of n(a) wrt a.\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**2 - 17. Let o(z) = z - 24. Let g be o(30). Let s(u) = u**2 - 6. What is g*j(r) - 17*s(r)?\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*12892\nAnswer: 515.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjlc when four letters picked without replacement from cgjlgfgjllj.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 171208?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/8*(-1 + -3). Let y(k) = -k - r*k + 2*k. What is the units digit of y(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2304665*c**3 - 7 - c + 0*c - 9*c**2 - 2304666*c**3. Suppose 4*x - q + 39 = 0, 0 = 6*x - x + 4*q + 33. Determine j(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**15*p*p**(-1\/9)\/p)**(1\/8) assuming p is positive.\nAnswer: p**(67\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 11:35 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyhyyxykhkyyhhfxffv. What is prob of picking 1 v and 2 y?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703?\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1174 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 8*g**3 + 9*g**2 - 2*g - 6. Let k(t) = -7*t**3 - 12*t**2 + 2*t + 9. Give 3*k(v) + 4*u(v).\nAnswer: 11*v**3 - 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2882 + -2879. Sort 129, z, -5 in decreasing order.\nAnswer: 129, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**3 - 3*b**2 + 2*b + 6. Let q be w(6). Suppose 318 = 5*x + 4*n, -6*x + 4*n = -x - q. Is x a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -189 - -270. Let k = a - 81. Solve -5*s + k = 2*x - 1, -2 = x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198092563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*v = -1577 - 1058, -o + 530 = -v. Let u(h) = -o + 3*h**2 + 525. Let b(j) = 4*j**2. Give b(u(k)).\nAnswer: 36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 1. Let t be (-1)\/2 - 84\/(-8). Suppose -5*f + 254 = 4. Suppose 0 = 5*u + 5*w - 0*w + f, 4*w = u - t. Let m(v) = -v - 4. Calculate u*k(q) - 2*m(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 643913 to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3999 and 1860?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 160 - 102. What is the remainder when x is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*h - 4, -i - 4*i + 10 = 5*h. Let g(o) = -o + 8. Let n be g(6). Suppose l - 8 + n = i. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/4, 3\/2, -1.13, 0.1 in decreasing order.\nAnswer: 7\/4, 3\/2, 0.1, -1.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 850597254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-10) - (-18)\/10. Solve v*f = -0*f - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 11. Suppose -c + 24 = 2*c. Let f be b(c). Suppose 2*o - 4*y = -12, -f = 5*o - y - 0*y. Are 3\/7 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.449 and -0.2.\nAnswer: -0.0898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 7. Let l = -20 - -34. Suppose l = i*u - 0*u. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + k + 1142 = -5*m, -1160 = -3*k - 4*m. Suppose 4*i = -8*i + k. Let a(l) = -6*l - 9*l + i*l**2 + 15*l. Let z(x) = -x. What is z(a(c))?\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261.12768 nanoseconds to minutes.\nAnswer: 0.000000004352128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 10:47 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 216\/5, -10, -3, 4 in decreasing order.\nAnswer: 216\/5, 4, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is db7c6 + 4?\nAnswer: db7ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -185672, -185663, -185652, -185639, -185624?\n\"Answer: l**2 + 6*l - 185679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -973?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.56 - 58.44. Let u = -1787 + 1787. Which is the closest to l? (a) 0.2 (b) -2 (c) -0.4 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/26 + 220\/858?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h - 2*n = -76, 56 = 2*h - 3*n. Let c be h*3\/6*1. Let v(d) = -3*d + 6. Let a(u) = 5943*u + 2 - 5944*u + 0. Determine c*a(p) - 6*v(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 6*n + 15. Let a be q(-5). Suppose 5*k - 45 = a*k + 5*m, 4*k - 5*m = 0. Sort 1, -4, k, 4 in increasing order.\nAnswer: k, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 * -38.755\nAnswer: 2441.565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 341907 (base 16) to base 4\nAnswer: 31001210013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/4 - 185\/(-220). Is v greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*o - 180 + 634 = -m - 364*o + 4412, 5*o - 39 = -3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 307 = 893. Let q = j + -141. Calculate the highest common factor of q and 279.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*m - 15, 55 = -2*m + 6*m - 3*p. Suppose -4*s - 4*h + 12 = 4, m = 5*s - 3*h. Let o(f) = -f + 4. Calculate the least common multiple of o(s) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226603 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28113359 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 209.\nAnswer: 4\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3. Let a(w) = -6*w**3 + 7*w**2 - 2*w + 9. Let d(c) = a(c) - 5*t(c). Give d(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*(-8)\/(-12).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 12:09 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -5*i + 4*k, -2*i + 101 = k + 19. What is the remainder when i is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -411, -1695, -3001, -4341, -5727, -7171, -8685?\nAnswer: -10281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17585925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**3 + 2*c**2 + 24*c - 2. Let h(r) be the third derivative of -r**6\/120 + r**5\/60 - r**4\/24 - r**3\/6 + 2103*r**2. What is 2*h(i) - v(i)?\nAnswer: i**3 - 26*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**7\/1680 - 7*n**5\/240 - n**4\/8 + 28*n**3\/3 + 8*n**2 - 3*n. Let k(q) be the first derivative of h(q). Factor k(t).\nAnswer: (t - 3)*(t + 1)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7732570?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - -1)\/2 - 2964\/(-260).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54650 and 17275958?\nAnswer: 2186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 189 + -51. Let v = 145 - q. Let d = -6 + 10. Calculate the remainder when v is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 7:56 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 137 and 30962.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1633*d - 11376 - 7326 = 10692 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 751492*k*m**2 - k + 165140 wrt m?\nAnswer: 1502984*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1343434201 to the nearest integer?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {n: 3, c: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from vivvikekvyxiiyiixiik?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + (sqrt(135) - 1*sqrt(135))\/sqrt(5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-h - 2*h**2 + h)*(-2*h + 5*h - 2*h) + 0*h**3 - h**3 + 8*h**3 - 11*h - 2*h**3 + 11*h)*(-326 + 326 + 22*h).\nAnswer: 66*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*m - 77 = 0, -3*h - 3*m + 14 = -46. Let u = h - 20. Suppose 0 = -2*p - 5*d + 27, -4*d + d + 15 = 0. Which is bigger: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609975907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*a**2 + 0 + 12*a = 0. What is a?\nAnswer: 0, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/9*-1*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 767 a factor of 884351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 8 - 3*q**2 - 8*q**2 + 4*q**2 - 7*q. Let a be d(8). Suppose a = -3*n + 6*n - 42. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**2*s**3 + k**2*s**2 + 1685*k**2*s - 19*k**2 + 1628*k*s**2 - 12*k + 3*s**3 wrt k?\nAnswer: -6*s**3 + 2*s**2 + 3370*s - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22402, -90236, -203286, -361546, -565010, -813672?\nAnswer: -1107526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 3 - 3) + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**3\/((o\/o**(1\/2)*o)\/o**(1\/4))*o*o**(-8)*o**4*o**(-1\/7)\/o*o*o\/(o\/(o\/((o*o*o\/o**(1\/5)*o*o)\/o))) assuming o is positive.\nAnswer: o**(-1427\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.2 + -3.1. Sort 5, w, -11 in descending order.\nAnswer: 5, w, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22427709 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 g when two letters picked without replacement from hzggggghzggz.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-22) + (-92)\/(-22). Suppose -2*n - 1 = -11. Suppose -42 = -n*u + 48. Solve 2*z + q*h - u = 0, 5*z - 3*h + 30 = 2*h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-40))\/((-1)\/(2\/2))*-5.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/300)\/(-25*60\/(-400))?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4319*q**4 - 814*q**3 - 1701407*q**2 - 5 wrt q?\nAnswer: -103656*q - 4884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4845 is divided by 2421.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 281725184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and (-57)\/(-6) - 4\/(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*n + 40 + 46 - 85)*(n - 3*n + 3*n) + (-n**2 + 2*n**2 - 3*n**2)*(3 - 1 - 1) + 2*n**2 + 0*n**2 - 4*n**2.\nAnswer: -47*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 37 = 2*z, 0 = 8*u - 3*u + 3*z - 30. Let v be 6\/9 - 704\/(-6). Let r = 199 - v. Calculate the highest common factor of u and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105 (base 6) to base 13\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -13. Suppose 0 = -o*k - 135 + 381. What are the prime factors of k?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 894 - 894. Let l be (5 - 7\/(-63)*-51) + 2. Find q such that 0 - l*q**4 + 20\/3*q**3 - 16\/3*q**2 + f*q = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**5\/9 + 490*p**4\/3 + 13370*p**3\/9 + 5470*p**2\/3 - 3472*p = 0. Calculate p.\nAnswer: -7, -3, 0, 1, 744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*u - 137*u + 200 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -6, 5*q = -2*t - 0*q + 8. Suppose 0 = 3*y + h - 16, 3 = 5*y - 2*h - t. Find the third derivative of -12*f**5 + 18*f**2 + 19*f**5 - y*f**2 wrt f.\nAnswer: 420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 2*o - 2. Suppose 2*q = -3*p - 0*q - 6, 4*q - 10 = 5*p. Let b be i(p). Sort 5, -1, b in increasing order.\nAnswer: b, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-118)\/(-2) - 0 - 4. Suppose p - u = -50. Solve z + 3 = -2*b + 4, 0 = -5*b - p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2520 = 3*h + 18*h. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.422386 years to months.\nAnswer: 89.068632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 5*i - 3. Determine n(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15998 - 15256.\nAnswer: -15256.15998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2 - 534*a - 2612. Give j(-262).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20570, 20548, 20522, 20492, 20458, 20420, 20378?\n\"Answer: -2*g**2 - 16*g + 20588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 10 + 4*q - 5.\nAnswer: 4*q + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 1)*(4*k - 2*k - k) + (-5 + 1 + 2)*(-2*k + 0*k + 4*k) + 43 - 6 - 21 - k + 0*k as v*k + m and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29344 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 + (3 + -3 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -112479.75*2\nAnswer: -224959.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*j + j + 2*j)*(-5*j**2 + j**2 - j**2) + (-j - 2*j + 4*j)*(87 - 15*j**2 - 87) in the form l*j**3 + z*j + u*j**2 + c and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 282779969?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjlj when four letters picked without replacement from {j: 5, l: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 102202122111 (base 3) to base 16\nAnswer: 3888d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nfs when three letters picked without replacement from qqfqqsnqssqqqqqsq?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1086004026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/((b\/(b\/(b*b**1))*b)\/b)*b)*b)**(-34)\/(b**(2\/11)\/((b*b*b**6)\/b*b)) assuming b is positive.\nAnswer: b**(-288\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -1201301?\nAnswer: -1201255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3591 times -229?\nAnswer: 822339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -586 - -9964\/17. Let f be (-208)\/195 + (-2)\/(-5). Which is the third biggest value? (a) x (b) -10 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63889 = 45*m - 248*m - 42574 for m.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12b0 + 411?\nAnswer: 16c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 14 = -2. Let d be 2 - (48\/(-5))\/r. Let o(f) = f - 13. Let b be o(10). Sort b, 5, d in ascending order.\nAnswer: b, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.014 - 438.014. Let h = -254 - k. Let y = 184.0143 - h. Round y to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -178.7 (b) 2\/61 (c) 44 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 311, 204, 27, -220, -537, -924, -1381?\n\"Answer: -35*p**2 - 2*p + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 4*v = -9*v. Sort 67, v, 1 in ascending order.\nAnswer: v, 1, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1990 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = 28*q - 4*q. Suppose -2*c = -13 + q, -3*p - c + 1589 = 0. What is p rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1002 - -995. Which is the smallest value? (a) -2\/9 (b) -3\/4 (c) 3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3868791 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -60.182?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1060\/1908*(-2)\/(-10).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2791*o + 2 - 2812*o - 2.\nAnswer: -21*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -470 - -637. Let o = 1283 - l. Is 31 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 6*z - 4. Let w be d(5). Let m be (-7 - w)*(-20)\/16. Does 5 divide (-1)\/(-2)*1*m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21504993623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15499, 15529, 15543, 15535, 15499, 15429?\n\"Answer: -p**3 - 2*p**2 + 43*p + 15459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -10*k. Suppose -3*g = -o - 2*g - 1, -g - 7 = -5*o. Let y(d) = 290 + o*d - 290. What is q(y(m))?\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**5\/30 - k**4\/6 + k**3\/3 + k**2 + 2. Let g(t) be the second derivative of i(t). Factor g(l).\nAnswer: 2*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011064965 to six decimal places.\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 - 9*p**2 + 6*p - 3. Let k be z(4). Let i = -0.37 - 0.03. Which is the biggest value? (a) k (b) i (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 140984 + -1836103\/13. Let j = i + 255. Factor 2\/13*m**3 + 2\/13*m**2 + 0 - j*m.\nAnswer: 2*m*(m - 1)*(m + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -21680, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 e when two letters picked without replacement from {f: 1, n: 1, h: 2, y: 7, e: 8}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2 + 6*t + 9. Let y(l) = 2*l**2 - 6*l - 8. Let n(q) = -3*u(q) - 4*y(q). Let s be n(-8). Solve 5*m + 0*b = b - 15, -s = 3*m - 3*b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2948737?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 + 76. Find the third derivative of 37*r**6 - 69*r**2 - 2*r**3 - r**a + r**4 - 33*r**6 wrt r.\nAnswer: 480*r**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8725 - 2341. What is the thousands digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 701 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759075 is divided by 1062?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 0*i**3 - 9*i**2 + 0*i**5 + 0 + 0*i + 1\/6*i**4 + 1\/360*i**6. Let h(z) be the second derivative of k(z). Determine h(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**8\/4200 + l**7\/700 + l**6\/300 + l**5\/300 - l**3 + 1. Let q(o) be the third derivative of f(o). Factor q(i).\nAnswer: 2*i*(i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 514 = 70*t + 724 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 15) to base 4.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 130 - 122. Suppose 7 + 1 = -g*y. Which is the biggest value? (a) -3 (b) y (c) 0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -29, -26, -11, 22, 79, 166, 289?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(((g\/(g*g**(-6\/5)))\/g)\/g))\/g)**(-11\/2)*(g**(-1\/6)*g)**(2\/107) assuming g is positive.\nAnswer: g**(-7037\/1605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q**3 - 3 - 94*q**3 - 52*q**2 - 40*q**3.\nAnswer: -114*q**3 - 52*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 + j**3 + 3*j**3)*(-2*j + 0*j + 0*j)*(246 + 5*j + 2*j - 296).\nAnswer: -14*j**5 + 100*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + 48\/(-14).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 27396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 118 - (-9 - -76) - (7 - 6).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*d**3 - 3228*d**2 - 82*d + 477?\nAnswer: 66*d - 6456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2703845205?\nAnswer: 3, 5, 2225387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1568 is divided by 90.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661051 is divided by 101.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*a**6 + a**2 + 88 wrt a?\nAnswer: 3720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 21*c + 163 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 16, 3*k - 61 = 3*u - 2*k. Let w = 32 + u. Suppose -5 + 15 = w*l. Calculate the smallest common multiple of l and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(2\/(-2)) + (1 - -3). Suppose 4 = -v*p - x + 6, 0 = -4*p - 2*x. What is the biggest value in 4\/5, p, 1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 171, 3\/5, -2, 5, -5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2*r = -5, 4*a + r - 5 = 7*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 14) to base 13\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*z + 5*c - 166, c + 48 = z. Calculate the remainder when z is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(85)*-1*1 - (sqrt(85) + 1*sqrt(85)*5)))\/(sqrt(405)*-2*2 + sqrt(405) - ((sqrt(405) + -2*sqrt(405)*-5 - sqrt(405)) + sqrt(405))).\nAnswer: sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0 = -16. What is the third derivative of -2*j**2 + j**2 + 3*j**3 - j**3 - l*j**3 wrt j?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 314.810221 to the nearest integer.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 19*a - 62. Give z(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + i - 2 = 0, 0 = 2*k + 2*i + i - 6. Let c = k + -3. Let a be 0\/((-9)\/c)*1. Let q(o) = -o - 5. Determine q(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddxxxdd. Give prob of picking 2 d and 2 x.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -796 + i**3 + 223 - 1109 + 31.\nAnswer: i**3 - 1651","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304956768 is divided by 27723340.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 5, 1, 10, 977, 3 in increasing order.\nAnswer: -4\/5, 1, 3, 5, 10, 977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 - 16*i + 6. Let g(p) = 4*p**2 + 4*p - 2. Let f be g(-2). What is the tens digit of y(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 3 - 9, 0 = -2*c + 3*r + 29. Factor -10*d**4 - 4*d**3 + 3*d**4 - c*d**4 - d**4.\nAnswer: -2*d**3*(9*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 22 = 3*s. Let x(i) = -2*i**2 - 3*i + 10. Let d(r) = 3*r**2 + 5*r - 19. Let b(g) = s*x(g) + 3*d(g). Let n(z) = -2. Give 2*b(w) - 7*n(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 5*h + 51. Suppose -3*p - 37 = 3*z - 7, -5*z - 43 = -2*p. Let i = z + h. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 84b3?\nAnswer: 84b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -2\/9, 13\/3, -21?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -519*l - 26. Let s(p) = 1558*p + 70. What is 8*j(t) + 3*s(t)?\nAnswer: 522*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.27 - -0.17. Let b = -11\/3 - -7\/3. What is the closest to 0 in c, -0.2, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*m - 4*m**4 - m**3 + 3920 + 2*m**2 - 3920 in the form t*m**3 + k*m**2 + i*m**4 + s*m + n and give s.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xsx. Give prob of picking 1 s and 1 x.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2190, -4 in decreasing order.\nAnswer: -2, -4, -2190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5111*r + 2 - 2 + 5042*r.\nAnswer: -69*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11384c (base 14) to base 15\nAnswer: b89dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/5851113 and 40\/9?\nAnswer: 17553339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 21 = 3*h. Let b be h\/(-4 + 1116\/284). Calculate the highest common factor of b and 426.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**5\/60 + 3*j**4\/8 - 11*j**3\/6 - 7*j**2. Let q be z(8). Let c(y) = y**2 + 4*y + 3. Calculate c(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*p**2*z**2 + 113*p**2*z - p**2 + 443*p*z**2 + 2*p - 4*z**2 + 9*z wrt z.\nAnswer: 26*p**2 + 886*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) -0.3 (c) -17522\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5.4988443 microseconds?\nAnswer: 0.00000000006364403125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*n + 528 + 1287 = 0 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.5 - -0.5. Sort 0, t, -3, 0.5 in ascending order.\nAnswer: t, -3, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -54*q + 28. Does 4 divide o(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 2*q - 2. Let f be r(-3). Let a = f + 0. Let u be 24\/20 - 4\/(-5). Sort u, 5, a.\nAnswer: a, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 8:33 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -537 + 543.46. Let l = 6.49 - b. What is the third smallest value in -4, 0.4, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -904 - -916. Let c be (-65 + 1)\/(1\/(-2)). Let m = 64 + c. What is the greatest common factor of o and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1159, 1161, 1171, 1195, 1239?\nAnswer: 1309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 354940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 - 1242\/(-27) - (20 - 0)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 8*d = 5*f - 111543, -6*f - 4*d + 133862 = 0. List the prime factors of f.\nAnswer: 7, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -2 - 4*5. Let l be (6\/p)\/((-4)\/(-6)). Let t = -116 - -115. Which is smaller: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 + 3*m**4 - m**4 + (-4 + 4 + 11*m)*(-m**3 + 0*m**3 + 2*m**3))*(19 + 25 - 25).\nAnswer: 228*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u**3 + 1777426*u + 1777421*u - 3554847*u - 19*u**3.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3*15\/(-10)*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 5*q**2 + 5)*(2*q + 0*q - 4*q)*(3 - 3 - 7).\nAnswer: -70*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -212, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247 = 59*c - 138*c + 60*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from {d: 1, r: 11, k: 4, c: 1}.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136013805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000031148349 rounded to seven dps?\nAnswer: 0.0000311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 4*d + 22. Let p be f(7). Suppose -4*c = g + 78, 3*c + p = 2*g - 10. Let u = c + 23. Solve q - 4*l = u*q - 29, 2*q - 21 = -3*l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + (20\/15 - (-325)\/(-39)) + 48965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(20) - (-1*-2*sqrt(20) - sqrt(20) - sqrt(20))) + -3*sqrt(1620))\/((sqrt(50)*-1*4)\/(1*sqrt(405))).\nAnswer: -117*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 14.4459.\nAnswer: -14.4459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -4, -275, 28 in increasing order.\nAnswer: -275, -4, 0, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 365 - 1714 = 0. What is the greatest common factor of v and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**6\/q*q**1*q*q*q)**(5\/7))**(-30) assuming q is positive.\nAnswer: q**(-1350\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**4\/24 + 7*f**3\/6 + 2*f**2 - 53*f. Give h(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0398 and 0.2.\nAnswer: 0.1602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.22 in -1\/2, 0.12, 138, -2\/5?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 11:07 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**(-45)\/(m**(-2\/11)*m\/(m*m**1*m)))\/(m\/m**(2\/3)*m\/(m\/m**2*m))**(4\/13) assuming m is positive.\nAnswer: m**(-18545\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 92\/5*l - 11\/5*l**3 - 1\/5*l**4 + 24 - 2\/5*l**2.\nAnswer: -(l - 3)*(l + 2)**2*(l + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 + 11*c + 9. Does 17 divide n(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 343 and 441?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/4 of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10.7 from 91.6.\nAnswer: 80.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 347 + -327. What is the remainder when p is divided by (0 - 18)\/(-2) - 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231 a factor of 971970846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 6. Let d = -33.1 + v. Which is the closest to d? (a) 0.07 (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 9895*b**2 + 555*b = 0.\nAnswer: -111\/1979, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 + 38619\/(-28))\/(9\/(-12)). Let x = d - 288. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43522158?\nAnswer: 2, 3, 61, 118913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41391 by -511.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3783490?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9526.61 nanograms?\nAnswer: 0.00000952661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n. Let p(u) = 376*u + 15. Let v(a) = 377*a + 10. Let i(l) = 2*p(l) - 3*v(l). Determine i(d(q)).\nAnswer: -758*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 208967 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: What is 465553.4 years in decades?\nAnswer: 46555.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (69\/(-9))\/(2\/(-6)*1). Suppose 30*f - 210 = g*f. Suppose -f*j = -38*j + 72. Solve j = 2*c - 5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**3 - 5*p + 3. Calculate the remainder when 28 is divided by a(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 2*p - 22 - 2)*(3*p**2 + 0*p**2 - 4*p**2).\nAnswer: -2*p**3 + 49*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, f: 3, p: 3, z: 1, i: 2, y: 2}. Give prob of sequence ffm.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + k = 6, 3*b = 2*b - 2*k + 10. Suppose -2*i = 3*i - 110. Solve -50*z**4 + 10*z**3 - 57*z**3 - 13*z**3 - 8 + i*z**b + 24*z = 0 for z.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 36*x**2. Let n(q) = 9*q - 15. Let i(j) = -j + 2. Let l(w) = 15*i(w) + 2*n(w). Determine s(l(z)).\nAnswer: 324*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -3*o**4\/8 + 2*o**2. Let m(c) = -c**2. What is m(n(s))?\nAnswer: -81*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 164, -301, -1078, -2167, -3568?\n\"Answer: -156*t**2 + 3*t + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 divided by -3.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -97, -144, -191, -238, -285?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 27522 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*z + 1832066*z**2 - 22*z + 4757576*z**2.\nAnswer: 6589642*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14036 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.258 - -1.058. Put -5, t, 2, 4 in decreasing order.\nAnswer: 4, 2, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((-49*605\/71148)\/((25\/8)\/(-1))).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 396291 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**2 - w - 15. Let n be f(-2). Solve -3*p - 3*q + 12 = 0, n*p + q - 6 - 6 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 117*g**2 + 972*g.\nAnswer: 3*g*(g + 12)*(g + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1343\/1178?\nAnswer: 1343\/1178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*c + 301, -4*c + 8*c - 413 = 5*o. Let q = c + -79. Calculate the smallest common multiple of 33 and q.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3972 - 0.5372. What is the nearest to s in -1\/6, -3, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-815)\/(-10) + 4)\/((-3)\/(-28)). Suppose 0 = 9*q - 16*q + x. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 170 = -86 + 4. What is the second biggest value in 11, 4, o, -2\/5, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -431756*d*k**3*s - 3*d*s + 2*d - 2*k**3*s - 7*k**3 + 34494*k*s + 8*k + 5 wrt d?\nAnswer: -431756*k**3*s - 3*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggcccgcgcgkcjggggk. Give prob of sequence cj.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -99*n**3 - 310*n**4 + 309*n**4 - 60*n + 1 + 116*n**3 as j + b*n + w*n**3 + h*n**4 + q*n**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 1:54 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1254094355 - -138\nAnswer: -1254094217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 14*t + 30. Calculate k(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/6)\/(1\/279). Let a = z + 116. What is the greatest common factor of a and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10022220020 (base 3) in base 8?\nAnswer: -177777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -29*k**3 - 19*k**2 + 16*k + 116. What are the prime factors of m(-14)?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7*u - 7. Let x be l(5). Suppose -2*w - 3 - x = -5*d, -3*d - 21 = w. Let p be (1\/2)\/((-3)\/w). Sort 0, -2, p in descending order.\nAnswer: p, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 2 + 3 + 5*c - 4 - 1. Is f(5) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10101100111100001 (base 2) to base 5\nAnswer: -10313140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*y + 5*k, 2*y + 3 = 4*k + 1. List the prime factors of ((-2)\/y)\/((-8)\/380).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 20455, 5, -3 in descending order.\nAnswer: 20455, 5, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-13\/5)))\/b)\/(b**(-6)*b) assuming b is positive.\nAnswer: b**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 8. Let c be h(-6). Let j(b) = -b**2 - b + 1. Let d(p) = -p**2 + 2*p + 2. Let s(z) = c*j(z) + d(z). What is the derivative of s(f) wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/(-6) + (-3)\/(-2) + (-130)\/42 and 11\/240.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56 - (65 + -55)) + 92?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*(sqrt(539) + -3 - sqrt(539)) - 6*sqrt(704)\/sqrt(4)).\nAnswer: -24*sqrt(11) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + z + 4*z + 72, -2*z + 5 = h. Let p = 16 - h. Suppose p = -d + 77. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2237 + -2141. What is the highest common factor of y and 444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(7\/(1372\/6)*(-1568)\/588)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 2 + 0 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5825.273 tonnes in kilograms?\nAnswer: 5825273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 53.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206940333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 g when three letters picked without replacement from kzxuxgzgxuxzuxxz?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138.49953 + -898851.\nAnswer: -898712.50047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 35 = -5*f, -10 = -3*s - 4*f + 16. Let u = -6 + s. Suppose 0 = -35*d - 661 + 696. Calculate the greatest common divisor of d and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t**2 - 5*t + 9. Let d(k) be the second derivative of 5*k**4\/12 + k**3 - 5*k**2 + 1762*k. What is 5*d(c) + 6*y(c)?\nAnswer: -5*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4)*-4*(-3)\/(-27)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 120246 (b) -1\/2 (c) 3 (d) 1\/3 (e) 5 (f) -5 (g) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 7*j**2 + 2*j + 5. Let k be z(-8). Let h = 6 - k. Is h a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8*b**2 - 2*b + 9. Let k be q(6). Let g = k - 172. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((0 - 3) + -8 + 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/20)\/(4\/8302). Let i = m - -827. Find the common denominator of -32\/5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 278, 2586, 6432, 11816, 18738, 27198, 37196?\nAnswer: 48732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, d: 1, t: 4, v: 3, e: 6}. What is prob of picking 1 v, 1 n, 1 e, and 1 d?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i**2 - 26*i + 344. Let l be y(20). Are -2176 and l nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413937.\nAnswer: 3, 15331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 805.9117ug to tonnes.\nAnswer: 0.0000000008059117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1212 and 22.\nAnswer: 13332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3271571*u**5 - 5*u**2 + 173066*u - 1.\nAnswer: 196294260*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/17, 1\/2, 1.3, 35.06?\nAnswer: 35.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1795 + -333553.8.\nAnswer: -331758.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 587199873.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(28) + 0)*-1.\nAnswer: -2*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q - 4*q + q + (3*q + 0*q - q)*(2 - 2 - 1) + 3 + 3*q - 2*q - 2*q + (-9 + 0 + 2)*(-2 + 3*q + 2).\nAnswer: -23*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-seven fifths of a millennium?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-34))\/(20 + -25 + 4). Solve 16\/17*g**4 + 0 + 0*g + 22\/17*g**3 - 8\/17*g**5 + k*g**2 = 0.\nAnswer: -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 + 2*d**3 + 2*d**3 + (-4 - 2 + 4)*(-116*d - 437*d**3 + 226*d**3 + 115*d).\nAnswer: 424*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2433816550.\nAnswer: 2, 5, 11, 733, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by 135.\nAnswer: 43\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -6*v**5\/5 - 5*v**3\/3 + 7. What is the third derivative of s(k) wrt k?\nAnswer: -144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z + 14772 = 538. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-60)\/(-21))\/10)\/2\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3098 is divided by 1946.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70*c**3 + 1592729*c**2 - 197293990*c?\nAnswer: -420*c + 3185458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 4:02 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + d - 2 = -8, 3*o + 12 = -d. Let b be (10 - 0 - o\/(-1)) + -2. Solve 0 - 5 = b*v, -2*p - 3*v = -5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -27, 5 in decreasing order.\nAnswer: 23, 5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 319 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 u when two letters picked without replacement from {u: 2, e: 2, l: 1, j: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h**2 + 15*h - 78. Let c(q) = 7*q**2 + 14*q - 77. Let k(s) = 3*c(s) - 4*i(s). Solve k(d) = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 8 - 8. Solve -s + 1 + 4 = d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/8)\/((-1179)\/786*1\/2)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0168024245 rounded to six decimal places?\nAnswer: 0.016802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.8 + -2.7995. What is c rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 - 41 - 10*h**2 - 17 as c*h + i*h**2 + j and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 15*b + 3. Let j be p(14). Is (j + -10 - 6) + 930\/1 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/n**(-2\/3)))\/n)**(-2\/47))**(-7\/5) assuming n is positive.\nAnswer: n**(-14\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 6 (b) -2\/13 (c) 17 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -4, 2\/17, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 - 2*l + 2. Let u = 62 + -77. Let d(c) = 20*c**2 + 15*c - 15. Determine u*k(t) - 2*d(t).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -933 + 1336. Suppose -3*q = -126 + 114. Suppose -q*k + 2*l = k - s, -k + 67 = 3*l. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314151?\nAnswer: 3, 104717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**0*o)**(-5\/8)\/((o**2\/o)\/(o\/o**0)) assuming o is positive.\nAnswer: o**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -160753.9 rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 3*k - 2*k - 63072 = 0. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -10) + (2 - (10 + -3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27651*z**5 + 5*z**2 + 10143*z + 1?\nAnswer: 1659060*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 238*s. Let v(j) = -391*j. Calculate z(v(a)).\nAnswer: -93058*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 173, 1981, 6895, 16469, 32257, 55813, 88691?\n\"Answer: 259*y**3 - y**2 - 2*y - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245815 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: Round 0.00000008695668 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0602 - 0.2398. What is the nearest to 1 in 1\/4, c, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.131 and -34.\nAnswer: -33.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8*a**3 + 2*a**2 - 4*a - 9. Is j(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3279974 minutes in hours?\nAnswer: 0.02213329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 - 2*b**3 + 4*b**3)*((-2 - 1 + 1)*(b + 0*b - 4*b) - 2*b + b - b - 2*b + 4 - 4) + (-b + b + 2*b**2)*(3*b**2 - 4*b**2 - b**2).\nAnswer: -6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -896*j**5 - 1296*j**4 + 2*j**3 - 49710970*j**2.\nAnswer: -53760*j**2 - 31104*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i + 39. Let m be o(3). What is the second derivative of m*l + 79*l**2 - 7719 + 7719 wrt l?\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**3 + 9*l**2 - 12*l = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 107 = -11. Suppose l = -u + 4*u. Suppose u = 5*a + d, -5*a + 3*d + 42 - 10 = 0. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g**2 + 7*g - 2. Let j be v(-5). Suppose j*z - 129*z = 12591. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = 100*l - 98*l - 10, -2*f + 5*l = -14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 23. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**3 - 54*f**2 - 61*f + 43. What is the units digit of y(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.25697 rounded to 2 decimal places?\nAnswer: -3.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 23704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001011000111000 (base 2) in base 9?\nAnswer: 57668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30176473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - 18*j = -3*u - 279, -3*u - 463 = 5*j. Is -96 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2652 divided by 12.\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 782030 and 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.851 rounded to the nearest integer?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -11. Let l be 5 + -9078 + t + 3. Is (1 + (-10)\/(-4))\/((-13)\/l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3*4)\/((-93)\/(-62)). Let m(i) = -5*i**3 - 8*i**2 + i + 11. Is m(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a**2 + 5*a**2 - 6*a**2 + 174449*a + a**3 - 87228*a - 87221*a.\nAnswer: a**3 - 16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 270*1523.9\nAnswer: 411453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by 72963?\nAnswer: 17\/24321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1894 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 181868242 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84*1\/9*10\/((-40)\/6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + t - 1)*(-8 - 34 - 27) - 2*t - t + 2*t)*(-2*t**3 + 2*t**3 + t**3) in the form v*t**2 + q + c*t + g*t**4 + k*t**3 and give g.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-4710)\/1570)\/((-21)\/2))\/((-30)\/2)\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4569188, -4569196, -4569204, -4569212, -4569220, -4569228?\n\"Answer: -8*i - 4569180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 + 0*o**2 + 0*o**2 + 2 + o**2 - 2 + (0 + 2 + 2)*(-2*o**2 - 4*o + 4*o).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(9*(-14)\/(-168))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 42. What is the nearest to -1\/4 in -10, 2\/5, j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10553021 (base 6) in base 14?\nAnswer: 86b09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -105*x**5 - 2724*x**4 - 14649*x**3 + 24366*x**2 + 34356*x - 2040 = 0.\nAnswer: -17, -10, -1, 2\/35, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 - (-470649)\/6327 - 4\/74.\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.91 in -0.4, 0.72, 3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1741 + -1708.68. Let p = -0.32 + a. Let m = -32 + p. What is the nearest to 2\/7 in m, 1\/5, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 1)*(-4*k**3 - k**3 + 4*k**3) + 62*k**3 + 1778*k - 64*k**3 - 1646*k as r*k + l + w*k**2 + c*k**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 15*s**2 + 11*s - 19. Is h(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 4 + 4)*(2 + 0 + 0)*(-h - 2 + 2)*(-109 + 26 - 3).\nAnswer: -172*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 1 - 0) + 2 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1 + 1 + 0. Let l = 10 + -8. What is the smallest value in l, i, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -251 + 422 + 33*x**4 - 64*x**4 + 2*x**3 + x**2 + 2*x**2 + 4*x + 30*x**4 to s*x + z + u*x**2 + v*x**3 + f*x**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 63742006 to the power of 1\/3, to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -31*t + 71. Let a be 1 + (-7)\/t + 102\/255. Solve 6*m + 8 + 10 = a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19463.898 months in decades?\nAnswer: 162.19915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-50)\/3 - 2\/(-3). Suppose 0 = -8*y + 4*y - v + 24, -4*v - 16 = 0. Let c(j) = -j**2 + 4*j + 16. Let n be c(y). Sort -4, n, a in descending order.\nAnswer: -4, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -7 (c) 1 (d) 1\/4 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -593*s + 4812. Let x be h(4). Calculate the highest common factor of x and 2074.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.7 plus 0.2086776?\nAnswer: -5.4913224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 392288433 a multiple of 632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 106647 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 4*k**2 - 5*k + 2. Let m be u(-5). Solve 3*o = 15, -5*o + 14 = -p - m*o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 w when three letters picked without replacement from {z: 2, q: 2, x: 3, k: 4, w: 8, h: 1}.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4942957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 + 17*v + 61. Let z be q(-4). Suppose -l - 4 = 0, 2*k + 14 = 4*k + 4*l. Suppose 8*o + z = -k. What is the smallest value in 3\/8, o, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.54314*-0.2\nAnswer: 0.108628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -48530, -48880, -49464, -50282, -51334?\n\"Answer: -117*v**2 + v - 48414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -27, 2, 4 in descending order.\nAnswer: 33, 4, 2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*h**2 + 1797 - 1797 + 0*h**2 + h**2 - 2*h**2 - 2*h**2 - h**2 + 4*h**2 + (-4 + 2*h + 4)*(h + h - h) - h**2 + 2*h - 2*h + (5*h - h - 5*h)*(-h - 3*h - h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008662 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 692240657*q**6 - 145047584*q**2 + 2 wrt q?\nAnswer: 83068878840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2009628 by 1.\nAnswer: -2009628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -1484*h**2. Let c(g) be the second derivative of g**4\/12 + 2276*g. Calculate f(c(i)).\nAnswer: -1484*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n*n\/n**(-15\/2)*n*n*n)\/(n\/(n**13\/n)))**(4\/15) assuming n is positive.\nAnswer: n**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*2.045448.\nAnswer: 6.136344","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 1259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2599 is divided by 109.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1965086 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 264 and 99.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1116 and 2031678.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(5) + 0 + 4*sqrt(5)*1)**2.\nAnswer: 10*sqrt(5) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29565.\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1603 - 5156. Is -6759 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**3 + 917 + 6*o**3 - 916 + 3*o**2. Let j(k) = -4*k**3 - 4*k**2 - 1. Give -5*j(s) - 6*q(s).\nAnswer: 2*s**3 + 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.189335 centuries to millennia.\nAnswer: 0.3189335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**5\/30 + 5*c**4\/6 - 8*c**3 - 211*c**2\/2 + 247. Let a(p) be the second derivative of y(p). Let a(d) = 0. Calculate d.\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -7*h**4\/3 - 73*h**3\/6 + 2*h**2 + 12. Find the first derivative of t(f) wrt f.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnmm when four letters picked without replacement from {m: 8, k: 6, n: 3}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 23\/(3105\/(-30)) - (-569)\/9.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**6\/z*z*z\/((z\/(z*z**(3\/17)*z))\/z) assuming z is positive.\nAnswer: z**(156\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-2)\/(-8)*(670710\/15)\/283.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3*n = 21, -3*f - 4*f + 159*n - 158*n + 7 = -2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/159152 and 37\/16464?\nAnswer: 477456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -5*j + 10. Suppose j*n - 16 = -2*n. Suppose -3*p + n*p = 5*k - 21, 1 = k + 3*p. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -619*q**6\/30 + 9*q**5\/20 - 5*q**4\/12 - q**3\/6 + 427*q**2\/2 - 6662*q. What is the third derivative of h(a) wrt a?\nAnswer: -14856*a + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4314 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 64044309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -55*s + 4996. Let d be v(90). Solve -2*p = -3*b + 17, d*p - 2 = 2*b + 48*p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4467 - 2*k**2 + 4*k**2 + 4467. Let b(g) be the second derivative of -g**3\/6 + 2*g. Calculate b(z(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**4\/6 + 980*c. Let w(n) = 194*n**2 - 2*n. Determine w(q(v)).\nAnswer: 776*v**4 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8767*r**2*s*v**2 + 12*r**2*s*v + 27*r**2*v + s*v wrt v?\nAnswer: -17534*r**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 13*u - 4. Let g be d(-9). Suppose h = 5*h + g. Let k be (-9500006 - h) + -2 + 0. What is k rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - (-96)\/(-27))\/2. Which is greater: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -509 - -1570\/3. Let i = o - 307\/21. What is the biggest value in i, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21803712 and 1792.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -103\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4*y + 300, -5*i - 300 = -4*y - 2*i. Solve 2 = y*f - 77*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 3.4, 4, 0.18, -2\/3 in descending order.\nAnswer: 4, 3.4, 0.5, 0.18, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*d + 4)*(d**4 - 2 + 2) + (7*d + 0*d - 3*d)*(-3*d**2 + 3*d**2 + d**4).\nAnswer: 6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213381 is divided by 53343?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9474 and 2262.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -615, 5.2, 3, -6 in decreasing order.\nAnswer: 5.2, 3, -6, -615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i = -12*i. Suppose d - 22 - 50 = i. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/7 - (-236)\/14. Suppose 0 = l - o - 11. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1707)\/18 - (4 + (-46)\/12). Let h = o - -194. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*s + 112 = 190*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 - 242*s - 7195. Calculate h(-51).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 18*r**2 + 40*r + 15. Let k be y(-20). Suppose 5*h = 3*o + 7, 2*h = -5*o + k - 6. Solve -3*j + h = 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -4*b + 3, -2*b = 23*l - 27*l + 22 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -35. Suppose 2*z - z - 3 = 0. Find the third derivative of 6*h**g - h**3 - h**2 - h**z wrt h.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 10*t = 88785. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(216)*-2)\/(-4*sqrt(32)\/sqrt(4)))\/((sqrt(1296)*3*-1 - sqrt(1296) - sqrt(1296))*2).\nAnswer: sqrt(3)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6070264 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11, 7, 3, -1, -5?\n\"Answer: -4*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.144189 minutes to milliseconds.\nAnswer: 248651.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 39\/21)*(2 + 299). Calculate the greatest common divisor of l and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**8\/4032 - k**6\/72 - k**5\/5 + 3*k**2. Let l(x) be the third derivative of j(x). Differentiate l(a) with respect to a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -2. Let x = q + 4. Which is the second smallest value? (a) x (b) -0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149827 is divided by 29965?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*c - 5*i, -3*c + 15 = 4*i + 6. Calculate the remainder when 62 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 608 and 380.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2354*u**2 + 11*u - 14. Is y(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 1067*f**4\/4 - 245*f**2\/2 + 358. Find the second derivative of p(g) wrt g.\nAnswer: 6402*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364024113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001012 to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 194 + -196. Which is the second smallest value? (a) -0.2 (b) 30 (c) 5\/3 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/43)\/h**4*h\/(h*h*(h**(-1\/10)\/h)\/h)*h**(8\/11) assuming h is positive.\nAnswer: h**(-10497\/4730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -121*f + 102*f + 76. Solve 2*b = -2*s + 8, -f = -3*s + 9*b - 4*b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65707.7834 rounded to the nearest 10?\nAnswer: -65710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**3 - 46*b**2 + 35*b - 8. Calculate s(-16).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1035, 1045, 1071, 1119, 1195, 1305, 1455?\nAnswer: 1651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270 and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 7:25 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2255 - 988 = -3*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 79 = -5*t - 107, -5*x = -4*t - 15. Let k be 8*-2*3\/(-12). Let d(w) = 0*w**3 + w**3 - 5 + k*w**2 + 0*w - 5*w. Give d(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 - 60 + 60 + 3*l.\nAnswer: -6*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 7) in base 10?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 8) in base 16?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -10*k**2 + 9*k + 19. Let j be -6*(3\/(-9) - -1). Let i(d) = 5*d**2 - 4*d - 9. Let a(b) = j*x(b) - 9*i(b). What is l in a(l) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 1277*u**4\/12 - 1351*u**3\/6 - u**2 - 16*u. Differentiate g(q) with respect to q.\nAnswer: 2554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210589*b**3 + 105267*b**3 + 105258*b**3.\nAnswer: -64*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 2*q**2 - q - 1. Let u(r) = r**2 + 3*r + 1. Let y be u(-4). Suppose 0 = 2*j + 10, 10*x = 5*x + y*j + 40. Determine f(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6455317996867\/284174374 - 3\/12917017. Let k = 22712 - c. Calculate the common denominator of k and -59\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 460\/32 - 12\/32. What are the prime factors of y\/(-28)*(1286\/(-2) + 1)?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -491 = -5*r + 204. Suppose 2*j - r = -4*c - 49, -2*j + 5*c + 54 = 0. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + 3 - ((sqrt(1053) + 0)**2 - sqrt(1053)).\nAnswer: -1050 + 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (118248\/10612)\/((-5)\/(-35)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 43728 (base 9) to base 8\nAnswer: 70540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 276697?\nAnswer: 276692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -297579 rounded to the nearest 10000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**3 - 3*f**3 - 2*f**3)*(f - f - 2*f**2 - 1 + f**2 + 1 + (-3*f - f + f)*(f - 6*f + 4*f)).\nAnswer: 2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 27815, 27817, 27819, 27821?\n\"Answer: 2*x + 27813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5 = 3*c, 5 = 4*c + c + 5*v. Suppose -x + 3 = -m + c, 9 = 2*x + 5*m. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*f**2 + 45*f + 12.\nAnswer: -3*(f - 4)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1211 + -440. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -2\/11 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -149 - -145. Which is smaller: f or -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, 5 in decreasing order.\nAnswer: 6, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 795, 1, -6, 34 in ascending order.\nAnswer: -6, 1, 34, 795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39796684 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 259579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y**5\/5 - 10846*y**4\/5 + 2353324*y**3\/5 - 90208016*y**2\/5 - 325979136*y - 91653120 = 0 for y.\nAnswer: -13, -2\/7, 68, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/65 - (-2)\/5. Let h = -81 + 80. Do h and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*u + 5. Suppose 5*m = -u + 19. Suppose -1 = m*v + 2. Is v at least -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by -84?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = i + 4*j - 24, -12 = 4*j. Suppose -5*u = i - 62. Solve -u*r + 4 = 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(112)*1 - sqrt(112)) + -1 + ((sqrt(112) + 1)*-4 - sqrt(112)) + (3 + sqrt(112)*4)*-6)**2.\nAnswer: 5336*sqrt(7) + 94721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64479859 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409 is divided by 130.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f + 11 + 2*f**3 - 9 - 3*f as w*f + r + j*f**3 + k*f**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 748.0845 millimeters to meters.\nAnswer: 0.7480845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 432 (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 smaller than 122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84835 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-30 - (-31 - 12))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -30*h**3 + 8*h**2 + 8*h + 1. What is the remainder when 309 is divided by u(-1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 17430?\nAnswer: 17422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (9 - 0) - (2 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 13*r**4\/5 - 2441*r**3\/10 - 1402*r**2\/5 + 4649*r\/10 + 57 = 0.\nAnswer: -2, -3\/26, 1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 48862.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -326138 by -6.\nAnswer: 163069\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/5 - 221\/65) + -2*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 845 - 843. Suppose -4*c = s*j - 1307 + 99, 5*c - 5*j - 1495 = 0. What are the prime factors of c?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 2734148?\nAnswer: 2734147.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -c + 113 + 16, -7*z - 7*c = -10*c + 232 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22)*-1*-6)\/(sqrt(1100) + 1*sqrt(1100) - sqrt(11))*4)**2 + 0.\nAnswer: 1152\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbab when four letters picked without replacement from {b: 6, a: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6206 and 290.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1728 and 996.\nAnswer: 143424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/x**(-2\/57)*x)\/x))\/(x**21*x) assuming x is positive.\nAnswer: x**(-1256\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5\/3)*g**(-36) assuming g is positive.\nAnswer: g**(-113\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 157 + 87\/(-27) + -1 + 4. Let l = 157 - o. Sort -0.06, -4, l, -2 in descending order.\nAnswer: l, -0.06, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-209)\/(-8) + (5 - 164\/32). Let w(v) = 6*v - 137. Let j be w(x). Solve 4*c = -b - j, 4*b + b = 3*c + 20 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/113 and 55\/8.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -13245*s - 13 - 4*s**2 + 12*s**3 + 13248*s - 11*s**3. What is a(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152598358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.22892 to one dp.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqj when three letters picked without replacement from {q: 1, j: 1, s: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 7\/58309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5009, 4977, 4887, 4709, 4413, 3969?\n\"Answer: -5*q**3 + q**2 + 5013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 19 - 2. Let h = u - 3. Let m = h - 10. Solve -m + 0 = 4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, z: 4, g: 1, y: 4}. What is prob of picking 1 z and 1 g?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -4, 7, -32, -21 in decreasing order.\nAnswer: 7, -2, -4, -5, -21, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a - 1. Let z be h(2). Let n(w) = w**3 + 4*w**2 - 5*w - 1. Let f be n(z). Is 2\/(-3 + f)*-326 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j. Suppose -101 - 102 = -7*s. What is the remainder when s is divided by n(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4 - 4170*d**3 - 4351377*d**2 - 8623592*d + 65145840 = 0. What is d?\nAnswer: -2084, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 19*g**2 + 150*g - 2. Let i be q(25). Sort 20, i, 4 in decreasing order.\nAnswer: 20, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*n = -25, 0 = 3*a - n - n - 15. Suppose z + 1 = -2*g + 7, -23 = -3*g + 2*z. Solve -a*v - 2*p = -14, 3*p = g*v - 40 + 11 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d - d**3 - 5*d + (d**3 + d**3 - 4*d**3)*(5 + 2 - 5) - 3*d**3 + d**3 + 0*d**3 + 0*d**2 - d**3 + 0*d**2.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -347696, -695298, -1042900, -1390502, -1738104, -2085706?\nAnswer: -2433308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - 4*x**3 + 5*x**3 + 3 + 1304946*x**2 - 79*x**4 - 1304947*x**2 in the form u + w*x**3 + d*x**4 + b*x + z*x**2 and give d.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**4\/12 - 7*c**3\/6 - 9*c**2\/2 - 54*c - 1. Let g be k(-3). Solve 5*v - g*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 220 - 82. Calculate the remainder when m is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 + -37 - (-22)\/33*69.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 8*v**2 - v + 11. Let d be u(8). Let z be 10\/45 - (-4802)\/18. Suppose -m = -5*f + z, 98 = 5*f - d*f + 4*m. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)\/a**(-6))\/(a\/(a*a*a**(2\/5)*a))**9 assuming a is positive.\nAnswer: a**(123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -91.1805 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 11*r + 202 = r - 28*r, -r + 6*r + 1 + 19 = 0 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30428.\nAnswer: 2, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 474515679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/4)\/(v**(-6)\/v))\/((v\/(v*v*v\/v**(-4\/5)))\/v**(-5))*v*v**(-2\/25)\/v*(v\/v**0)\/v*v**(1\/4)*v\/(v**3*v)*v*v assuming v is positive.\nAnswer: v**(161\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/19)*n**(-8)*(n**11\/n)**(1\/16) assuming n is positive.\nAnswer: n**(-1137\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 4 - 2 + 0)*((5 - 4 - 3)*(-1 + 1 - 2) - 63 + 33 + 76).\nAnswer: 50*g + 100","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 135, 0.1, 1\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24373, 97481, 219327, 389911, 609233, 877293, 1194091?\nAnswer: 1559627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.1 + -1.1. What is the third smallest value in b, -1\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (10 - (-17 + (-2 - -9)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1455076928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 178*l**2 - 13. Let s be r(-4). What is the greatest common factor of s and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**3\/3 - 378*f**2 - 1876*f - 4496\/3 = 0.\nAnswer: -562, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 516\/43*(-8)\/150*160\/(-128)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10279610?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t - 24 = -31*t, 5*t + 465 = 5*r. What is the lowest common multiple of 69 and r?\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 9 (b) 48 (c) 1 (d) -1\/2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 207\/14 + -4789\/322. Put -4, -0.5, u in ascending order.\nAnswer: -4, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91 - -91. Suppose -3*s + d + 17 = 0, -3*s + 3*d + 4 + 11 = r. Put -3, 0, s in decreasing order.\nAnswer: s, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 4*p + 17. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -8*i**5\/7 - 36*i**4 + 2262*i**3\/7 - 3005*i**2\/7 + 1437*i\/7 - 234\/7 = 0.\nAnswer: -39, 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t. Suppose -2*v - 3*v = 80. Let o = 10 + v. Let a(x) be the first derivative of 2*x**2 - 225. Calculate o*a(y) - 13*z(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2682529.\nAnswer: 29, 233, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 + -11 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2553708, 2553715, 2553722, 2553729?\n\"Answer: 7*u + 2553701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 56.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*k - 32 = -2*z, z - 14 = k. Let a(t) = -t**2 + 10*t + 28. Let d be a(z). Suppose -d*h + 1347 = -569. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 11. Suppose 65 + 288 = g*t - 5*s, s = 5*t - 894. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*5*sqrt(14))\/(sqrt(2) - (4*sqrt(14) - sqrt(14))\/sqrt(7)).\nAnswer: 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*a**2 - 141 + 4*a - 3*a**2 + 128)*(2*a - a - 2*a) to the form b*a**2 + g*a + z + w*a**3 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 0*t + 0 - 1\/3*t**4 + 150*t**2 - 2*t**3 + 1\/60*t**5. Give y(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyd when three letters picked without replacement from yydydyyddyyyyyyydyyy?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/195 and -37\/2457.\nAnswer: 12285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-12096)*1272 + (-88)\/(-12)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 155102.475 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**3 + 26*i**2 + 142*i wrt i.\nAnswer: -12*i + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 31 = 3*j, -3*n + 6*n + 3*j + 21 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q - q - q - 13*q as j + w*q and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 6:23 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 15*r - 5*r. Suppose 0*y - 3*c + 65 = y, -4*c + 138 = 2*y. Suppose -r = -s + y. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15.26542 and 2305463.\nAnswer: 2305478.26542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 12:16 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -9. Solve -5*u - 10 = -t*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/52422 and 149\/7076970.\nAnswer: 7076970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 200191735 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 646347, 646346, 646345, 646344?\n\"Answer: -n + 646348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/26)\/(8\/94948). Let y = g + 3650. Find the common denominator of y and (1 - -2)*92\/(-40).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -19*d - 10. Let c(h) = -288*h - 159. Let p(a) = -18*a - 10. Let n(q) = 2*c(q) - 33*p(q). Let l(g) = 5*n(g) + 6*v(g). What is l(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172582927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17227305?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 5:57 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -95*q + 96*q. Suppose -q*r = 5*w - 10, r = 4*w + 11 + 2. Solve 4*n = r*m + 14, -4*n - m = n - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s**2 - s + 1. Let n(u) = -1932*u**2 + 276*u - 276. Let i(o) = -276*c(o) - n(o). Let d(a) = -2*a. What is i(d(r))?\nAnswer: 1104*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-650)\/(-75))\/(-8 + (-88)\/(-12))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1567.\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -89396*f - 357590. Give l(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3358581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -35719?\nAnswer: -35718.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 16*q**2 - 15*q - 9. Let r be n(17). Let a(c) = -c + 2. Let b be a(2). Suppose 5*d - 14 - 6 = b. Solve m - r = -d*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d - 28. Let k(r) = -3*r + 14. Let p(a) = 9*k(a) + 4*n(a). Let o be p(6). Let x be (-6)\/(-4)*o\/(-3). Solve -x*l + 7 = 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 95294063 and -0.4?\nAnswer: -38117625.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-1 + -3 + 2). Suppose -3*l - 6 = -5*l - 4*d, 0 = u*l - 2*d - 25. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmyvymhmyhhyyxyhyb. What is prob of sequence bm?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 w when three letters picked without replacement from {w: 4, o: 10}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 + -2 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 114a - -5?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5453562690 to the power of 1\/4, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -20.29 and -0.05813.\nAnswer: -20.34813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2021102201201 (base 3) in base 14?\nAnswer: -236966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 14997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-188)\/(-1170) + 7*12\/(-378). Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5068.\nAnswer: 2, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 242 - 221. Suppose -4*h = h - 20. Solve -2*k + 6*k + h*z = 24, -w = 4*k - 5*z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3155.1761 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*q*r**2*w**2 - 30*q*r**2*w - 38*q*r**2 + q*r - 2631*q*w**2 - 8*q*w - 2*q + 2*r*w**2 + 1 wrt w.\nAnswer: 44*q*r**2 - 5262*q + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 11. Is r at least as big as -3\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 95897 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 439 in 0, 0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 6 - 5*j - 2*j)*(4*j**4 - j**4 - 2*j**4).\nAnswer: -2*j**5 - 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100 + -1011?\nAnswer: 100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -1.58993.\nAnswer: 5.58993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*g + 3, g + 3*k + 3 = -0*g. Suppose -j + 1 + 0 = 0. Let x = j + -4. Sort 1, g, x in increasing order.\nAnswer: x, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -98*p**5\/9 + 854*p**4\/9 - 2102*p**3\/9 + 1306*p**2\/9 + 512*p\/9 + 40\/9 = 0.\nAnswer: -1\/7, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 5*g + 11*g)*(-2 + 1 - 2*g**2 + 3).\nAnswer: -30*g**3 + 30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.5, -3, 1, 0.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from {v: 2, a: 3, z: 1, e: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.393 to one decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103700.\nAnswer: 2, 5, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 8:07 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -172 divided by 2\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0249 + -0.0249. Which is the closest to -0.1? (a) -4 (b) 1\/3 (c) r (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 t, and 1 l when three letters picked without replacement from fntxnoll?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2 - 19275*o + 96360. Determine w(5).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a tonne in kilograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -57 and -51 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 6, -5*l + 3*l = 2*k - 8. Let b(r) = 3 - 5*r**2 - 4*r + k + 6*r**2. Give b(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339864 divided by 168?\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 17\/(-10) - 33762\/4760*(-14)\/21?\nAnswer: 31\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -4 - 0) + (3 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 + -0.38. Let k = r - -0.4. Which is the closest to k? (a) 2 (b) -7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 4*q**2 + 2*q - 3. Let t be f(-3). Suppose t = -5*g + 20 - 0. Solve 0*p = -p - g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from byfbbybby.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/4 + 2115*y**2\/4 + 371709*y\/4 - 373827\/4.\nAnswer: 3*(y - 1)*(y + 353)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4554 divided by 2?\nAnswer: -2277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -947*w**3 - 4276*w - 1 + 1 + 2298*w + 1978*w.\nAnswer: -947*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 36140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 - -173 - (1 - (3 - -11) - -4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 4*x = -12 + 1, 2*d + x + 1 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 541.943 years?\nAnswer: 0.541943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - 0. Is (-42)\/(-8)*((-20)\/g + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Suppose -17 = -l - 15. Let j(q) = -4*q**2 + 0 + 2 + q + 2*q**2 + q**l. Determine j(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**2. Let y(z) be the first derivative of 31*z**2 - 2. Calculate y(p(k)).\nAnswer: -186*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**2 - 11*d + 5. Let g be 39\/21 + 4\/28. Let i(z) = -z**2 - 28*z + 12 - 5*z**2 - 2*z**g. Let w(j) = -5*i(j) + 12*q(j). Let w(l) = 0. What is l?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.008872 - -0.07987211. Let z = t - 0.071. Round z to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g**3 + 12*g**2 - 12*g**2 + g - 1. Let h be u(1). Let x(v) = v**2 + 4*v + 3. Let q be x(-4). Solve -q*r = -h + 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/235 and -26\/25.\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n - n + n + 2)*(-3 + 1 + 1)*(-4 + 8 + 4) as l + d*n and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 135*g**2 - 126*g**2 + 3 + 263*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(4 + -4 + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -79*q - 85*q + 180*q. Let s(o) = -4*o. Give c(s(j)).\nAnswer: -64*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5 - 10*h**2 - 9*h + h**3 + h + 3*h**2. Let g(r) = -r + 17. Let d be g(9). Let l be t(d). Which is the third smallest value? (a) 2\/5 (b) l (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m - 5*m - 7668 = 866*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q + 112 - q**3 - 111 - q + 10*q**4 as u*q**2 + h*q**3 + n*q**4 + d + w*q and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -65.89 and -0.2?\nAnswer: 65.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 27*v**2 - 42*v.\nAnswer: -3*v*(v - 7)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 3. What is h(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 23*y**2. Let d(u) be the third derivative of -2*u**2 + 0*u + 0*u**4 + 71 + 0*u**3 - 1\/20*u**5. What is d(o(r))?\nAnswer: -1587*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 65 + 63)*(-b + b + 2*b)*(-4*b**3 - 3*b**3 + b**3).\nAnswer: -504*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 441 and 849?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (179 - (2 + -1))*1 is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50574595.\nAnswer: 5, 10114919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9 - 9.1. Let t = c - -14. Which is smaller: 2\/7 or t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 98551202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 716093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 4*k + 0*k)*(0 - 4 + 3) + (1 + 3 - 5)*(2*k - 7*k + 3*k) + 10 - 10 + 3*k + (-11*k + 10*k - 13*k)*(0 - 2 + 1).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1540 - -1529. Let x(g) = -15*g + 11. Let d(m) be the second derivative of -4*m**3\/3 + 3*m**2 - 2*m. Give b*d(u) + 6*x(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - t. Let f be w(0). Suppose 2*y + f = 6. Suppose -y*r - 24 - 35 = -2*c, -r + 83 = 4*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 182*s.\nAnswer: 2*s*(s + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 5:25 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2552 + -2367. Calculate the remainder when 752 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i**(14\/9)*i))\/i**(-17\/4) assuming i is positive.\nAnswer: i**(133\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 36 - 7)*(15*s + 15 - 15)*(-2*s**2 - 5*s**2 + 5*s**2).\nAnswer: 1740*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -0.3 (b) 2 (c) -1 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + -40. Let h(f) = 2*f**5 - 2*f**4 - 2*f**3 - 2*f**2. Let c(q) = -3*q**5 + 2*q**4 + 3*q**3 + 3*q**2. Let d(v) = x*c(v) + 5*h(v). Factor d(a).\nAnswer: -2*a**2*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o + 121. Let k be q(-21). Suppose k*a + 24 = 20*a. Solve -w - a*w + 3*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8*p. Let o(q) = q - 108. What is v(o(g))?\nAnswer: -8*g + 864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*t + 5*y - 10, 4*y = 2*t. Let h = t - 4. Which is the smallest value? (a) 9 (b) -2\/21 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 5 + 6 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1060 and -9\/2780?\nAnswer: 147340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/14 and 590\/(-180) - (1 + 1)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(5*sqrt(15)\/sqrt(3)).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121220021 (base 3) in base 8?\nAnswer: 30037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124213 - 16124. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/3)\/v**(1\/6)*(v**(-6\/5))**(-14) assuming v is positive.\nAnswer: v**(479\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 42*m + 360. Let b(y) = 2*y - 7. Calculate the remainder when p(49) is divided by b(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/622 + -617\/3110. Let g = -0.02 - 2.98. Put g, f, -0.14, 3 in descending order.\nAnswer: 3, -0.14, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 u, and 2 c when four letters picked without replacement from uuuuucucccuuacccc?\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -390 + 833 - d - 406 in the form b + l*d and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2418674 to the power of 1\/2, to the nearest integer?\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 2*l = 2*b - 44, -140 = -5*b + 5*l. Let v be ((-54)\/4)\/3*(-72)\/3. Suppose b + v = m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -3, -5, -7, -9, -11?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -38388*k**2 - 613352*k + 13696 = 0?\nAnswer: -16, 214\/9597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*z**2 + 41*z**2 + 29*z**2 - 109*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 9:00 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/73, 4\/5, 329, 1\/3, -3, 9 in increasing order.\nAnswer: -3, 1\/73, 1\/3, 4\/5, 9, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s + 6. Suppose s*g - 2*g = 23. Calculate the remainder when g is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 2500?\nAnswer: -2510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 8:38 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (50\/(-25))\/(2\/(-4)). Suppose -2*m - 153 = -p*u + 3*m, 0 = -4*u - 5*m + 103. What is the highest common factor of 96 and u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 630, 2642, 5988, 10662, 16658, 23970, 32592?\n\"Answer: -s**3 + 673*s**2 - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 75 in -0.0306, 14, -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1560 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b - 11408 = 1456. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 13*k = -385. Let c = k - 77. Solve 2*r + c*r + 3*u = 1, -2 = 4*r + 2*u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1227 divide 1248600108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((722\/(-57))\/19).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 1\/9, 0.4, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 37 = -5*d, -3*h + d - 2*d = 17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 37 = 4*i. Let u = i + 13. Let m(a) = a - u + 1 - 2*a. Let x(j) = -11*j - 1. Calculate m(x(s)).\nAnswer: 11*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, c: 2, w: 4, p: 1}. Give prob of picking 1 w and 1 p.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2065*n + 2074*n - 4133*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2904 and 66300168?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 10:29 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/36 + (-13)\/(-6). Suppose m = -t*u - 0 - 1, 3*m - 11 = u. Is -2 + (447 + 4 - u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 6*u + 7*u)*(u - 2 + 2) to the form w + y*u**2 + i*u and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.184245325 rounded to 5 decimal places?\nAnswer: -0.18425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/34*45*(-357)\/630.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 948718 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**3 + 28*g**2 + 21*g - 4. Let b be t(-13). Let l = b - 60. Let i(j) = -j**2 + 1. Let s(m) = 5*m**2 + 2*m - 5. Calculate l*s(z) + 4*i(z).\nAnswer: z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 199 + 186. Let c be (-1)\/(-3*((-2)\/(-198))\/(30\/45)). Calculate the highest common divisor of x and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(792)*-3)\/(sqrt(10)\/sqrt(180)) - (sqrt(11)*1*3*2 - sqrt(22)\/((sqrt(2) + sqrt(18) - sqrt(2))*-1)).\nAnswer: -343*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89800153 and 8758?\nAnswer: 4379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1355 - 2852066\nAnswer: -2850711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*r - 58 = -5*j + 164*r, r + 36 = 4*j. Suppose -2*a - 42 = -3*a + 3*x, 2*a - 5*x = 84. Let i = a + -13. What is the remainder when i is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/20 and (259\/(-42))\/(30\/(-9)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18612*n**2 + 1 - 18611*n**2 + 1 - 21*n**4 + n + n**3 to the form x*n + f*n**4 + r*n**3 + t*n**2 + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*q**4 - 1 + 4*q**3 + 20*q**4 - 42*q**4 - 355*q + 706*q to o + v*q**3 + g*q + b*q**4 + a*q**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-10))\/((-26 + 124)\/(-2450))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 12\/(-8) + 5)*(-180)\/25.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*i**3*p + 119*a**2*i*p + 20752*a**2*p**2 + 6*a*i**3*p**2 + 19*a*i*p + 29*i**3*p wrt p.\nAnswer: 41504*a**2 + 12*a*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**4\/8 - 2*s**2 - 4. Let h(g) = 22*g**2. Give h(f(x)).\nAnswer: 198*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + 21\/(-6))*(-96)\/(-3). Suppose -282 = q*o - 1162. What are the prime factors of o?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 813877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*p - 1 = -3*l, -3*p = 5*l - 12. What is the second derivative of 5*a - 14*a + 47*a + 2*a**l - 10*a**4 - 14*a wrt a?\nAnswer: -120*a**2 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 - -14 - (5316 - 5257).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5147120 - 736043218\/143. Let a be 7702\/220 - 5\/50. Let q = a + o. Which is smaller: q or -1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, f: 3, v: 1, b: 5, k: 5}. Give prob of sequence kkf.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 739640733 to the nearest integer?\nAnswer: 27196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -131.1 + 142. Let w = 3.9 - h. What is the nearest to -0.1 in -4, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(76) + 2 - (1 + sqrt(76))*1 - -5*-4*(-4 + (sqrt(76)*2 - sqrt(76))))**2.\nAnswer: -6480*sqrt(19) + 36961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 74, -0.2, -2\/17, 3\/31?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 = 3*n. Let k = 510214 + -52042247\/102. Let o = k + 25\/6. Is n at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j**4 + 2772319*j**3*k**3 + 9704*k**3 + 8*k**2 - 1 wrt j?\nAnswer: -8*j**3 + 8316957*j**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -21*h**2 - 15*h + 7. Let n(v) = 10*v**2 + 7*v - 3. Let z(c) = 3*f(c) + 7*n(c). Find the second derivative of z(u) wrt u.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4)*11\/(-165).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w. Let l(b) be the second derivative of -3*b**4\/4 - b**3\/6 - 11*b + 12. Calculate l(u(n)).\nAnswer: -9*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7136 divided by 15815?\nAnswer: -7136\/15815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4 - 21*r**3 - 42*r**2 - 24*r.\nAnswer: -3*r*(r + 1)*(r + 2)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + v**2 + 6*v. Let j be z(-4). Suppose 0 = -57*y + j*y + 2. Suppose 0 = -4*n - 3*x + 79, 5 + 28 = y*n - 5*x. Is n a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*sqrt(468) + sqrt(468))**2.\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*1093587.\nAnswer: -437434.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 29 = 2*m, -m = 4*m - 2*k - 62 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 - 8 + 8 + 4*p - p**2 - 4*p + (-1 - 1 + 4)*(p**2 - p + p))*(8 + 0 + 0).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3, 53, 137, 255, 407, 593, 813?\n\"Answer: 17*n**2 - n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1. Let b(k) = k - 6. Let j(x) = -2*x + 14. Let l(t) = 5*b(t) + 2*j(t). Give 3*l(c) + 6*r(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5096124, 5096131, 5096128, 5096109, 5096068, 5095999, 5095896, 5095753?\nAnswer: 5095564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 7 + b**2 - 2*b**2 + 0 + 6*b. Let q be d(7). Suppose q = 3*i - 399 - 642. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11.67549 hours?\nAnswer: 42031.764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7623\/(-18810) - -2*(-3)\/(-20). Which is the third smallest value? (a) i (b) 8 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10185789 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*c**2 + 0*c**3 + 6*c**2 + c**3)*(2 - 4 + 0).\nAnswer: -2*c**3 - 34*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**3 + 2 + 4*v**3 - 16*v**3 + 3*v**3.\nAnswer: -5*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 133831356479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 769853874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*n - 1, 3*l - 23 = -2. Let a be (3 + 0)*-1 - 0. Put n, a, -2, 15 in ascending order.\nAnswer: a, -2, n, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -40*x**2. Let s(j) be the first derivative of -j**2\/2 - 78. Calculate s(g(v)).\nAnswer: 40*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 387*v**3 - 112*v**3 - 137*v**3 - 140*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 + -79. Let f = b + 31. Solve f*v = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, a: 3, z: 4, o: 5}. What is prob of picking 2 a?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*7*(-6289434 - (-4 - -5)). Let h = -75426045 - z. What is h rounded to the nearest one million?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -8*o + 27*o - o. Let w(f) = 13*f + f**2 - 13*f. Calculate b(w(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9884 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 578, 2326, 5240, 9320, 14566?\n\"Answer: 583*f**2 - f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (40 - (-4505)\/(-102))\/((-6)\/9). Factor -15\/2*h - s*h**2 + 5*h**3 + 0.\nAnswer: 5*h*(h - 2)*(4*h + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**4 - 543*c**3 - 7524*c**2 + 65340*c = 0 for c.\nAnswer: -165, -22, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 135, 274, 413, 552, 691?\n\"Answer: 139*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112336755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 3*s - 0 + 3, -9*f - 5*s - 27 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18555, -37111, -55667, -74223?\n\"Answer: -18556*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, o: 3}. What is prob of sequence eo?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010110 (base 2) to base 4.\nAnswer: -3112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6682 is divided by 394.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*(5 + 4*-2*sqrt(567) + -3).\nAnswer: -864*sqrt(7) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/522 and -125\/63566202.\nAnswer: 190698606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011110 - -10001011111100011?\nAnswer: 10001101010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)\/q**5)**(-17)*((q**(-2\/3)*q)**(12\/13))**(-44\/5) assuming q is positive.\nAnswer: q**(9769\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 739038 and 2664.\nAnswer: 8868456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((3 + -5)*6\/30). Put 20, y, -4 in descending order.\nAnswer: 20, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.59 - 2.19. Which is the closest to -0.01? (a) r (b) -1\/10 (c) 4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14231989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**3\/3 + 4*f**2 + 7*f. Let r be z(-8). Let u be -4*((-2)\/r + -1). Solve 0 + u = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*i + 3*d, -5*i - 4*d = -0*d - 64. Let g be i\/9 - 4\/(-18). Suppose -5*q + 62 = -3*a, 1 + g = 3*a. What is the remainder when 51 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20736 and 28?\nAnswer: 145152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54896 or 54977?\nAnswer: 54977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 + 64*v**2 + 679*v + 54. Let y be l(-10). What is the highest common divisor of y and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1474 divide 595496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168 and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 215\/(-45) + (1 - -3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*w + 4*q - 11, -q = -3*w + 26. Let i = w - 5. Solve i*p + p = 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 96\/(-4)*(-2)\/4. Suppose 0 = -2*g - 3*w - 3, 7*w - 4*w + t = g. Suppose g*c = c + 196. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 1028.\nAnswer: 11308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -4*l + 16. Let z = -5.6 + 0.6. What is the nearest to 0.1 in z, l, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -8, -39, -96, -185, -312, -483, -704?\nAnswer: -981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5914063611 + 22996.\nAnswer: 5914086607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383585?\nAnswer: 5, 76717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 2. Let k(c) = c. Let n be 1*(1 + -24) - 2. Let d be (-8 - -10) + (1 - 26). Let u = d - n. What is u*k(z) + a(z)?\nAnswer: 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1625 - 1220?\nAnswer: -3045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**3 + 7*h**2 + 443*h + 18. Let d(s) = -2*s**3 + 4*s**2 + 221*s + 10. Calculate -7*d(z) + 4*l(z).\nAnswer: -2*z**3 + 225*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**2 - 10*r + 31*r**2 + 3746 - 3744 in the form c*r + a*r**2 + q and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 95 (b) -3\/2 (c) -2\/13 (d) 5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(-2) - (-18 - -7)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000069098991 to 7 dps.\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7.2? (a) -2 (b) -0.4 (c) 0.2 (d) -31751\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-530)\/(-38) + (17 - 17 - 14).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 4*y**2 - 3. Let x be a(5). Let h be 2946\/21 - (-8)\/x. What are the prime factors of 2\/(-9) - h\/(-63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -12*o - 17*o + 0*o. Let h(z) = -319*z - 340*z + 662*z. Determine n(h(m)).\nAnswer: -87*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-220)\/8*(225\/300)\/((-3)\/(-8)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -127443?\nAnswer: 127442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -719 bigger than -244\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 41300?\nAnswer: 123900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*f = -20*f - 3*v - 33, 0 = 2*f - 5*v - 17 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 + 21*a**2 - 8*a - 19. Suppose 0 = x - 4*s + 7 - 1, -14 = -x - s. Let b be w(x). Is 3\/71 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 129 + 401 = 0. Suppose -m + 138 - f = 0. Solve -3*h + 3 = -3*q, -3*q + 3*h = 7*h - m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288*f + 290*f - 78 = i, 4*i = 3*f - 112. Solve 0 = f*r - 47*r + 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 845 and 520?\nAnswer: 6760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55073*a - 27540*a - 27533*a - 8*a**2.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 + 2*p**2 - 1. Let a be s(1). Find the first derivative of -f**2 - 4*f**3 + a + f**2 wrt f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*(sqrt(171) - -2*sqrt(171)) - -1*sqrt(171)*1))\/((sqrt(189)\/sqrt(112))\/(2*sqrt(432) + sqrt(3))).\nAnswer: 600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6347 - -10992. What is the remainder when c is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3620 divided by -163.\nAnswer: 3620\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**4 + 24*b**3 + 33*b**2 - 54*b = 0.\nAnswer: -2, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*h = 110*h + 16. Calculate the lowest common multiple of (h\/10)\/(65\/(-1300)) and 87.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -1322029?\nAnswer: 396608.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**2 - 15 - 9 + 22 - a + a - a**2 + (2*a - 3*a - 2*a)*(2*a - a + a).\nAnswer: -12*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 622459 and 589?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 33, 0.3, -0.508, -2\/61?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -75, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 - 18*u - 11. Is q(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2140, 4\/3, -0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -419782944.5 + 17.\nAnswer: -419782927.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 62*f**3 + f - 1. What are the prime factors of o(1)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, a: 1, t: 1, e: 3, j: 5, k: 2}. Give prob of picking 2 j.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 + 0 = -15*y + 6 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, a: 8, j: 6, t: 2, k: 1}. Give prob of picking 1 j and 2 a.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -15*b**2 - 7*b - 2. Let k(o) = 46*o**2 + 23*o + 7. Give 7*j(u) + 2*k(u).\nAnswer: -13*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3885 and 280.\nAnswer: 31080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -18740.15.\nAnswer: -18736.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/5 - 52*h**3\/5 + 258*h**2\/5 - 72*h.\nAnswer: 2*h*(h - 20)*(h - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28 - 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 284008 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*j - 23, j + 0*x = 5*x + 23. Suppose j*q + 4*b = 232, -59*b + 58*b + 318 = 4*q. Is q equal to 80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 14 = 5. Let r be ((-4)\/10)\/(3\/(-30)). Let l = r - w. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/3 and 16\/81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 8. Let d = s + 4. Suppose l = d - 5. Do l and -3\/10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(495)*-6 - sqrt(55) - sqrt(55))\/(sqrt(55)\/(sqrt(15)\/sqrt(3))))*-4*1)**2.\nAnswer: -1920*sqrt(5) + 32144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 + 3*t**2 + 3*t + 3. Let s be n(-2). Let p = s + 11. Find the first derivative of -4*v**p - 3 - 5 + 5 wrt v.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 183644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -1)**2 + -1 + 1.\nAnswer: -16*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -188 - -42. Let y = 149 + z. Solve 0*m - m = y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 5133662.\nAnswer: -9\/5133662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3 + c + 4 - 2. Suppose 326 = 6*x + 362. Let l(j) = -13*j + 7. Let a(p) = x*m(p) - l(p). Differentiate a(u) wrt u.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2465.010068 + -2465. Let r = p - 0.01. What is r rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 8:16 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1134974?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 0. Let v = 16.1 - 16.4. What is the nearest to h in 3, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -13.5. Which is the closest to 1? (a) 0 (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44439 = 6*h + 3*p - 44508, 2*h = 3*p + 35 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1345 + 32659. What are the prime factors of h?\nAnswer: 2, 3, 17, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-32\/7)*q*q*q**(-2\/25))\/(q*q\/q**23)**(-15) assuming q is positive.\nAnswer: q**(-55589\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**6\/w**2)\/(w**(3\/2)*w**(-1\/3)))\/(((w\/w**(-7))\/(w**1*w))\/((w**(1\/3)*w)\/w)**(-40)) assuming w is positive.\nAnswer: w**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/15 + (-20118)\/45*-7963. Suppose 2*m = -5*z + w, -5*z = -2*m - 2892935 - 667073. Round z to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9\/10 + 3\/5. Sort -0.3, a, 1\/4 in decreasing order.\nAnswer: a, 1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26170 and 1439.\nAnswer: 37658630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 28162 divided by 28162?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = s - 0*u, 2*u = 5*s - 27. Determine o so that -o**5 - 10*o**3 + 9*o**2 + o**2 - s*o - 3*o**4 + 1 + 8*o**4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.3, -139, 1 in increasing order.\nAnswer: -139, -2.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l + 2 - 7*l**3 + 3*l - 3 - l**2. Let t(v) = -v**3 + 51*v**2 + 2*v - 103. Let k be t(51). Determine r(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -10110100010010?\nAnswer: 10110100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59311.14 + -58827. Round z to the nearest ten.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4\/4 - 37*b**3\/4 + 167*b**2\/4 - 227*b\/4 + 24 = 0. What is b?\nAnswer: 1, 3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 7. Let w = 7 + h. Suppose 13 = w*c + y, -y + 2*y - 9 = -2*c. Solve c*f = -3*f - 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 7*n**2 + 7*n. Let w be q(6). Solve -9 = -r + 5*g + w, 0 = -2*r - 2*g - 18 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 618 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 13*o - 9. Let j(l) be the third derivative of -l**4\/4 + 2*l**3\/3 - 2*l**2. Let u(w) = 9*j(w) + 4*k(w). Let i(n) = -2*n**2. Give u(i(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 10:57 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1026 + 1025.99998124. Round r to six dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 5*q. Let p = 0.1 + 0. Let u = 0.9 + p. Which is smaller: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -13, 6, 27?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 8:55 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/12*6\/2. List the prime factors of s\/3 - 284\/(-3).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510921 < 1510927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/52 and -7\/217088.\nAnswer: 2822144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7775 (base 11) to base 14\nAnswer: -3a3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 - 60*j**2 + 3135*j - 20570.\nAnswer: -5*(j - 11)**2*(j + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (141\/(-5))\/((-1)\/15). Let x be r\/18*(5 + 1). Let b = x - 11. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*k**3 + 15*k**2*z**3 + 3*k - 376*z**3 - z wrt k?\nAnswer: 12*k**2 + 30*k*z**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 810 and 1377.\nAnswer: 13770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*40*(-28)\/(-535920)?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/(-10))\/(4\/(-88)). What is the second biggest value in x, 1\/32, 5, -2\/3?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t + 4. Let b(u) = -1. Let j(s) = 2*b(s) + 2*y(s). Let r be j(6). Calculate the greatest common divisor of 12 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4\/(r**(2\/3)\/r*r))\/((r\/(r*(r**4\/r)\/r))\/r*r\/(r**(1\/5)\/r)*r*r) assuming r is positive.\nAnswer: r**(38\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20100\/(-9))\/(3\/9). What is h rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(4 + (5 + (sqrt(2057) + -6*(2 + sqrt(2057)) - 4*(sqrt(2057) - (-1*sqrt(2057) - sqrt(2057)))) + 1)**2).\nAnswer: 11220*sqrt(17) + 2972569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1423 + 0?\nAnswer: 1423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2820\/11 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1252416 and 256.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*-69.04\nAnswer: 41.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*(-4490)\/15)\/((-6)\/9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66.64 - 16.96. Let s = -0.68 + l. Let a = s - 49.091. Round a to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - -68. Let r = b - 40. Is (r\/(-10))\/((-1)\/5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 48*d**2 - 176*d. Let i be h(-44). Sort 5, 2, i, 14, 7 in decreasing order.\nAnswer: 14, 7, 5, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m + 25. Determine g(-28).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1362 - -1520?\nAnswer: 3212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*(-72)\/80 + (-271034)\/10034?\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/13))\/((h**(-16)\/h)\/h) assuming h is positive.\nAnswer: h**(249\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -207*a + 2254. Let y be l(7). What is the greatest common factor of y and 345?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4346350896 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 1:16 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3854623 is divided by 745?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 335*y**2 - y - 21886. Let c(a) = 4*a**2. Determine v(c(n)).\nAnswer: 5360*n**4 - 4*n**2 - 21886","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 2*z**3\/9 + 8*z**2\/3 + 32*z\/3 + 7. Solve c(i) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 14. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -2) + (88 - (1 - -2)). Suppose -428 = -10*l - 1258. Let b = f + l. Solve b*q - 3*i = -q + 4, 0 = 4*i + 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (290\/(-4))\/(-1)*72\/10?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 9:18 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.59 - 0.09. Let d = -508 + 513.06. Let j = d - 5. Which is the nearest to 0? (a) 2 (b) f (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21112 and 580?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 840 and 385.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32201639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/506940 and 59\/54315?\nAnswer: 1520820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 216*c - 6*c**2 + 2*c**2.\nAnswer: -c**2 - 216*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 0*b - u - 47 = 0, -3*b + u = -4*b - 158 + 146 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2951?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156, 312, 468, 624, 780, 936?\nAnswer: 1092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 10:20 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-57 - -15) + 18?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/3300 and 7\/14550.\nAnswer: 320100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 223 or 191?\nAnswer: 223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 52*i + 48*i + 47*i - 146*i - 3 + 0 - 2. Let q be 12 - (1 + 1 - 0). Give p(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f + 19. Let b be w(2). Suppose -5*g = b*d - 22780, d + g + 4*g = 4536. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.676 + 1.776. What is the nearest to r in -64, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*o**2 + 6*o**2 - 2*o**2 - 2 to the form q*o**2 + j*o + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4012 is divided by 2006.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p - 38*p - 16*v = -18*p + 39, -3*v = 3*p - 117 for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -34 + 28. Let p(f) = f**t + 7*f - 19*f + 12*f. Let v = 2 - 5. Let y(r) = -r**2. Determine v*y(j) - 5*p(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1834535937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28.9 + -9.\nAnswer: -37.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + 4*(sqrt(2057) + sqrt(2057)*2) + (5*sqrt(2057)*2)**2 - (sqrt(2057)*2 + -4 - (sqrt(2057) + 0)*-3)).\nAnswer: 77*sqrt(17) + 205699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0675 + -0.5165. Round q to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/4 + ((-56)\/32)\/(-7). Solve g = o - 7 + 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 3, 2\/17, 420, -2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 6*g**2 - 7*g + 6. Let z be l(5). Suppose -4*q = 5*k - z, 5*q - 4*k = 9*q - 244. What is the remainder when 174 is divided by q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 19) + (-9 - (2 + 8 + -21)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14636 + 23?\nAnswer: -14613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - -0.1. Let q = 40.3 + -40.2. What is the second biggest value in q, 0, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*x + 2*x. Let n(l) = 2*l**2 + 4*l. Let k(y) = -y. Let r(z) = x*n(z) - 4*k(z). Let o(f) = f. Give o(r(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 0.022, 5, -1\/7 in descending order.\nAnswer: 57, 5, 0.022, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 661, 1733, 3121, 4825, 6845, 9181?\n\"Answer: 158*o**2 + 598*o - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 14. Let j(n) = 7*n - 67. Let p(x) = j(x) + 5*q(x). Let k(z) = 4*z**2 - 8*z. Determine p(k(l)).\nAnswer: 8*l**2 - 16*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*-2*(-36)\/(-18)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a**2 - a**2 + a**2)*(-3 + 11 - 1 - 2*a) to the form c*a + y + w*a**3 + d*a**2 and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1776958, 1777539, 1778120, 1778701?\n\"Answer: 581*z + 1776377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2097, -4200, -6305, -8412?\nAnswer: -10521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 236 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2034 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4346?\nAnswer: 2, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from yuuuhvuyyvuuuuy?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1449, -5795, -13029, -23145, -36137, -51999?\nAnswer: -70725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -10*p**3 + 12*p**2 + 4*p + 6. Is y(-6) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**3 + 3*f + 8. Let t be r(3). Let v(n) = 6*n + 195*n**3 - t*n**3 - 1 - 98*n**3 + 2*n**2. What is v(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.061 - 0.899. Let k = -0.04 + o. Let i = -86\/265 + -4\/53. What is the biggest value in k, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 269*o**5\/10 + 19*o**3\/3 - 3*o**2\/2 - 34*o + 10. What is the second derivative of u(a) wrt a?\nAnswer: 3228*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -304, -272, -230, -172, -92, 16, 158, 340?\n\"Answer: m**3 - m**2 + 28*m - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 614 - 582 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (376\/(-141))\/(28\/63)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8*d. Let m(p) = 1. Let f(z) = -2*z - 2. Let k(a) = f(a) + 2*m(a). Give k(g(y)).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, x: 3, i: 1, a: 5}. Give prob of sequence ixxa.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 2*b**2 - 5*b - 4. Let c be v(-4). Calculate the remainder when 23 is divided by ((-54)\/12)\/(6\/c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, d: 5, a: 4, c: 5}. What is prob of sequence cwac?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - 122 + 152 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 29 = 3*w - 17, -3*m + 9 = -4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 29*r**5 + 4*r**4 + 4*r**3 - 29*r. Let s(g) = -28*g**5 - 3*g**4 - 3*g**3 + 30*g. Let x(j) = 3*l(j) + 4*s(j). Find the second derivative of x(u) wrt u.\nAnswer: -500*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.154 + 1.664. Let t = q + 10.5. Let i = 0.09 + 3.91. Which is the nearest to -1? (a) t (b) 0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 10*n + 35 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1339, 1341, 1343, 1345, 1347?\nAnswer: 1349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tcl when three letters picked without replacement from {t: 3, z: 1, c: 3, y: 8, q: 1, l: 2}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(288) - (sqrt(288) + -2 - sqrt(288)) - sqrt(288)) + sqrt(288) + 5) - (1*(sqrt(288) + 1 + sqrt(288)) + (sqrt(288) - 6*(sqrt(288) + 0))))**2.\nAnswer: 6528*sqrt(2) + 19588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -524 - -483. Let y(j) = 3*j**3 + 4*j**2 - 2*j - 3. Let v be y(-3). Let q = o - v. Which is smaller: q or -6\/19?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-3) + 1\/(-3). Let h(v) = -q*v - 2*v + 6*v - 4. What is the units digit of h(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192063 and 2263?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 4)*(-2*z + 0*z + 3*z) + (-z + 0*z + 0*z)*(98 + 479 - 1454).\nAnswer: 874*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 16 = 0, -6*p + p = 4*z. Let q(b) = b**2 - 6*b - b**3 + z*b + 0*b**2. Let r be q(0). Solve 5 = -r*j + 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(272) + 1 + 2 - (sqrt(272)*2 + 2 - sqrt(272))) + 0)**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -712 + -134?\nAnswer: -1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-13 + (-80 - 14) - -9) + 16.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -509*u + 31. Let x(c) = 1525*c - 95. Let g(l) = 17*v(l) + 6*x(l). What are the prime factors of g(2)?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3115747 divided by 6?\nAnswer: 3115747\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o - 11400 = 95*o - 30*o + 66*o for o.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/105 in -2\/125, -16, -2\/3?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -535005 (base 6) in base 2?\nAnswer: -1010101101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 71.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1988588 to the nearest integer?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 68.52? (a) 0.3 (b) -16 (c) -8 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/900 and ((-8)\/(-144))\/(-4 - 5142\/(-948)).\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**15*p*p**10*p)**(-42))**(-22) assuming p is positive.\nAnswer: p**24948","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**2 - 3*o. Let b(m) be the first derivative of 8*m**3\/3 - 5*m**2 - 731. Calculate -3*b(r) + 10*t(r).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 4) + (-36 - (-1233)\/36).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -18*n**2 + 9*n + 3. Let c(b) = -34*b**2 + 15*b + 6. Let y(l) = 4*c(l) - 7*f(l). Let t(p) = -p**2 - p + 1. Determine -5*t(g) + y(g).\nAnswer: -5*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggqlllllllqqllgqqlg. What is prob of sequence qllq?\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240254 and 1048?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/4*(12 + -8). Let q be u\/(-3 + (-90)\/(-33)). Which is greater: q or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23424959*b + 41508722.\nAnswer: 23424959","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 0*l - 5*l)*(-4*l**4 + 5*l**4 + 2*l**4) - 2*l**5 - 5*l**5 + 2*l**5.\nAnswer: -11*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**4\/4 - 5*k**3\/3 + k - 580. Let r be 3\/(-12) + 38\/(-8). Give m(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -204404428*a*w + 112983836*w wrt a.\nAnswer: -204404428*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -54 (c) 3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1032322403 - -33?\nAnswer: 1032322440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 34109.3 decades in millennia?\nAnswer: 341.093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 163.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 30 = 2*l. Let y = 5 - l. Sort y, -1\/4, -2\/7 in decreasing order.\nAnswer: -1\/4, -2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - 1560\/42)\/((-2)\/(-14))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 4:58 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 21. Give c(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = -5*a + 18*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + -6 + (-23)\/4. Suppose -2 = -g + 6. Let r = g + i. Is r < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 22*m + 0 + 5 - 7.\nAnswer: 22*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 3*u + 42, l + 186 = 4*l + 3*u. What is the remainder when l is divided by -1 + (8\/20)\/(4*6\/1920)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 172425942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(627)\/(-2*sqrt(11)))\/(sqrt(27)*-2) + (sqrt(171) - sqrt(171)*4)*1 + 4))**2.\nAnswer: -3424*sqrt(19)\/3 + 219835\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**0)\/t)**(8\/9)*t**(-2\/5)*t\/(t**9\/t)*t)**20 assuming t is positive.\nAnswer: t**(-128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6802 is divided by 4451?\nAnswer: 2351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 + 9*c**2 + 2*c**2.\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.3 or 40163?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-99)\/22)\/(6\/8). Let c be (-32)\/y - (-28)\/(-21). Let o = 3 - 6. Put 0, c, o in ascending order.\nAnswer: o, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 71*o**5 - 2129*o**4\/12 - 1388*o. What is the third derivative of w(b) wrt b?\nAnswer: 8520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 182ac6 (base 16) to base 7\nAnswer: 16314351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-14))\/((3420\/(-63))\/19).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 2*n**2 + 2*n - 1. Suppose 0 = -3*a + 6 - 0. Let j be 1*(-1 + a) + 0. Let z be l(j). Solve 0 = 2*q - z*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.04 and -743997447.\nAnswer: -743997446.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6168366?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (367*r + 1935*r - 1052*r)*((2 - 3 + 0)*(-4 + 0 + 2) + 2 - 3 + 0) as f + w*r and give w.\nAnswer: 1250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 28543 - 28620.876. Let u = w + -0.124. Let y = 76.36 + u. Round y to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f - 1. Suppose -1 = -2*w + 15. Let y = -12 + w. Let b be -1 - y - (-6)\/(-3). Calculate o(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -8a096ab?\nAnswer: 8a096a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**3 + 2 + 8*f**2 - 3*f**3 + 6*f - 1. Is a(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33748529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(5\/4*-2 + 3). What is the first derivative of 12 + n + 4 - 15*t**4 + 3 wrt t?\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*m**3 - 47*m**3 + 6*m**3.\nAnswer: -67*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6518 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: Sort 6, -2\/5, -50.6, 4 in decreasing order.\nAnswer: 6, 4, -2\/5, -50.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -20\/251, -1.1, 3?\nAnswer: -20\/251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -28*m + 648. Let g be w(23). Solve -g = 53*k + 155 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.983403cm to micrometers.\nAnswer: 59834.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qgheggqjjqggs. Give prob of picking 1 g, 1 s, and 1 e.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/6)*g**(2\/29))\/(g\/(g**(-1\/4)*g)*g**(-2))*(((g\/g**(-4\/7)*g)\/g)\/(g*(g\/((g\/(g\/g**(-2\/31)))\/g*g))\/g*g))**(-35) assuming g is positive.\nAnswer: g**(196813\/10788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6213 + 10103. List the prime factors of g.\nAnswer: 2, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**5 + 3252*v**4 + 694272*v**3 + 13553104*v**2 + 75588480*v + 62726400 = 0.\nAnswer: -396, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/4 + 647*t\/2 - 418609\/4 = 0. What is t?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 549 = 161*m - 1061. Let r be 2\/(-3)*-1*6. Solve 2*y = r*y - m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35546, 35537, 35530, 35531, 35546?\nAnswer: 35581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*f = 6, -4*i = -7*f + 3*f - 12. Solve -5*b - 8 - 4 = -c, i = 3*c - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-158))\/((44*(-75)\/37950)\/((-8)\/46))?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 5:08 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/4)\/(-3 + (-28)\/(-8)). Solve -v*a + 2 = -4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2200459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 12*q**2 - 11*q + 6. Suppose -4*c + 64 = -4*w, -3*c - 2*w - w + 30 = 0. Let r be p(c). Let a = r - 34. Which is smaller: -3 or a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1\/(-10)*(-555)\/74?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - q = -2*d + 671, -4*d = 4*q - 1336. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 4*w = 0, -4*w - 5 = -5*k - 2*w + 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 12*v**2 - 3*v + 3. Let z be k(3). Is 2 - (z\/(-2) + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 9*m - 14 + 18 - 4*m - 5*m + 2*m. Let b = 4 + -6. Let a = -3 - -8. Let j(v) = v + 2. Determine a*j(z) + b*l(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + 7. Suppose -4*f + 23 = 5*l, 4*f + 2*l - 9 = x. Solve -3*y + f + 5 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, e: 3}. What is prob of sequence eje?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 17.838.\nAnswer: 19.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 5*l - 763, 0 = -5*k - l + 168 + 1728. Let s = k - -502. What are the prime factors of s?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 + k**3 - 3*k**3)*(0*k - 4 - k + 5) - 2*k**2 + 2*k**2 + k**4 + (k**2 - k**2 + 2*k**3)*(-1 + 1 - 2*k).\nAnswer: -4*k**4 + k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 13*c**2 + 18*c - 10. Let x(k) = -10*k**2 + 18*k - 8. What is -4*n(u) + 5*x(u)?\nAnswer: -4*u**3 + 2*u**2 + 18*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14780 divided by 2956.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*u - 1036 - 65*u + 1056 - 61*u.\nAnswer: -85*u + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a - 2666 + 7*a + 3*a**2 + 10*a + 25*a**3 - 20*a + 2663 in the form r*a**2 + n + f*a + w*a**3 and give w.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2))**17*(z**(6\/7)\/z)\/z**(1\/14))**6)**(-14) assuming z is positive.\nAnswer: z**2874","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, 2\/29, 12 in decreasing order.\nAnswer: 12, 1, 2\/29, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*l - 32*l = 7478 + 2080. Suppose 2*w - 3*w = -2, 6 = i - w. Calculate the smallest common multiple of l and i.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 2 - 55\/5. Let a = 28 + z. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2 + 0 + (-7)\/(-2). Suppose z*a = 252 - 9. Suppose a = l - 52. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srmm when four letters picked without replacement from rxmmxgxssmmxxss?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*g + 15 - 15*g - 2*g - 15 - 3*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/2))**(-1\/11))**(-1\/17)\/(((l\/(l*l*(l\/(l*l**(2\/17)))\/l))\/l)\/(l\/l**7)*l**(-8)*l\/(l*l**(-7))) assuming l is positive.\nAnswer: l**(-1539\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1*24\/220)\/(78\/(-130))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.37 - -10.37361. What is s rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 484, 976, 1474, 1978, 2488, 3004, 3526?\nAnswer: 4054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 142\/5 - 428\/15. Let d be (-72)\/130 + (-4)\/(-10). Suppose -5*k + 20 = 3*l, 19 = -4*l + 3*k + 7. What is the third biggest value in d, u, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q - 33. Let o be s(-8). Solve -2 = o*n - 9*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, k: 2, e: 4, i: 3, y: 3, n: 4}. What is prob of sequence ee?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2 - t + 5*t + 0*t + t**2. Let o be y(-4). Let s be 26\/6 - o\/6. Which is the closest to 1\/2? (a) 0.1 (b) 0 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**3 + 16*t**2 + 20*t - 20. Calculate y(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 12\/25 of a micrometer?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1, -84, -133, -148, -129?\n\"Answer: 17*x**2 - 134*x + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 - 2*y**2 + y + 1. Let q(l) = 82*l**3 + 3*l**2 - 7*l - 2. Calculate 2*a(c) + q(c).\nAnswer: 78*c**3 - c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 257.299 - 257. Let s = q + -0.139. Round s to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 17, 7, -4, -13 in ascending order.\nAnswer: -13, -5, -4, 6, 7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 100*g**2 + 106*g**2 - 285*g + 10*g**3 - 204*g**2.\nAnswer: 10*g**3 + 2*g**2 - 285*g - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b + 230 = 22*b. Suppose 0 = t - h - 16, -2*t = -t + 5*h - b. Suppose 0 = -4*i + t + 59. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-383253)\/662935 - (-918)\/1785\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.031 - -0.631. Let q be (1 - -1)\/(4\/(-3)). Let d be (0 - (-3)\/(-6))\/2. Which is the nearest to 0.1? (a) y (b) q (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 4:53 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 5)*(8*h + 10*h + 9*h)*(-2*h - 5*h**3 + 4*h**3 + 6*h).\nAnswer: -81*h**4 + 324*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0 = 5. Calculate the remainder when s - (-28 + (-3)\/(-1)) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39209297.\nAnswer: 39209297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*b - 148 + 46, w - 102 = -2*b. What are the prime factors of b?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.11137 + 0.1191. What is d rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -181.4163 - 0.0837. Let f = 181.70005 + z. Let p = f - 0.2. Round p to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**6\/120 - 3*l**5\/20 + l**4\/4 + 7*l**3\/6 - l**2. Let p(i) = 260*i - 3631. Let o be p(14). Give f(o).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 2842262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 12*o**2 - o - 6. Calculate d(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 829b7 (base 13) to base 2\nAnswer: 111001010000111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1, 4, 11, 16, 13, -4, -41, -104?\n\"Answer: -g**3 + 8*g**2 - 14*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-3)\/9 + -9. Let x(b) = -3*b**3 - 3*b + 1. Let i(y) = -10*y**3 - 8*y + 3. Give v*x(h) + 3*i(h).\nAnswer: -6*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -40\/25219 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2147950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -28.1. Let p = o + -7.1. Let l = p - -6. Which is the second smallest value? (a) 0.4 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -230415 + -5353.\nAnswer: -235768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 183.907 - 184. Let q = -0.193 - i. What is the second smallest value in 1, -1\/4, q, -0.03?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1658215 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o - 25*o = 244 - 132 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 159342*f**3*n**2 - f**3 - 174058*f*n wrt n?\nAnswer: 318684*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 + 4*b + 375. Let l(q) = 5*q**2 - 11*q - 1123. Calculate -4*l(w) - 11*u(w).\nAnswer: 2*w**2 + 367","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3995817.\nAnswer: 3, 7, 179, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 5:53 PM?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 + -1 + 3\/1. Let l be (3\/(-7))\/((-16)\/112) - -278. Let g = l - 281. Which is the third smallest value? (a) g (b) x (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*u - 5*m + 34 = 0, 4*u - 3*m + 3 = 0. Suppose -3 = 2*b - 3*b. What are the prime factors of u\/b + 1 - -8?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/8, 486, 274, -0.2, 0.5, 1\/3?\nAnswer: 274","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -3. Let o(j) = -j**3 + 9*j**2 - 7*j - 3. Let w be o(h). Solve -5*d = 3*b, -4*d = d - w*b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96078?\nAnswer: 2, 3, 67, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -852509, -1705017, -2557525, -3410033?\n\"Answer: -852508*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/7*(-13 + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 - -2.95. Let w = -0.484 - 0.016. Sort w, o, -4 in descending order.\nAnswer: o, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -615 = -4*p - 447. Calculate the remainder when 200 is divided by p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130588 - -2219994\/17. Let s(d) = -d**3 - 3*d**2 + 2*d + 1. Let k be s(-2). Which is the closest to k? (a) -1 (b) m (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23703733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -8. Let f be (-4)\/7 + (-1140)\/(-35). Let q be (6\/(-9))\/(f\/(-36)). Which is the third smallest value? (a) 1 (b) q (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4863 is divided by 1609.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -7*n - 20. Let z be (-1 - (-3)\/3) + (-2 - n). Solve 3 = z*a - 2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from {x: 2, t: 1, d: 1, h: 2, i: 12}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14027427.\nAnswer: 3, 59, 26417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 7*g**2 - 6*g + 3. List the prime factors of s(-7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 12.95. Let w = u - 0.05. Is 0.2 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24032 - -43251?\nAnswer: 111323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 147 - 143. Suppose -g + 2*d + 3*d = -11, -a*d - 22 = -3*g. Solve 2*t = 2*h + g*t + 14, -h + 5 = -4*t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5*x**5\/6 + 7*x**4\/3 - 3*x**3 - 16*x**2\/3 + 37*x\/6 - 1 = 0?\nAnswer: -3, -2, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -177772?\nAnswer: 17776a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (58*o + 17*o**2 - 58*o)*(4*o**2 - o**2 - 5*o**2) + (-6*o**3 + 4*o**3 + o**3)*(o - 3*o + o) in the form m + y*o + z*o**3 + k*o**2 + d*o**4 and give d.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 17\/4*q**3 - 243\/4*q + 189\/8*q**2 + 15 + 3\/16*q**4. Factor o(u).\nAnswer: 3*(u - 1)*(u + 9)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 3*h - 14*h + 3*h + 12*h)*(1 - 1 - h + (2 - 2 + 1)*(9*h - 40*h - 13*h)).\nAnswer: -180*h**2 + 2025*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19)*5*4 - sqrt(19) - 5*sqrt(76)) + -5)**2.\nAnswer: -90*sqrt(19) + 1564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301168 is divided by 75290.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*q**2 + 0 - 1\/5*q**3 - 1\/5*q**4 + 1\/5*q.\nAnswer: -q*(q - 1)*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 12.5. Round y to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -7*v + 25. Let a = 46 - 17. Let f be (-30)\/(-4) + (-1)\/2. Solve -2*q - 10 = 0, v*w - f*w + a = -5*q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*7.50212\nAnswer: -5.251484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 1. Let o be g(1). Suppose o*u + 3*a = -3*u + 39, 6 = 2*u - 2*a. Let j = -20 + 27. What is the smallest common multiple of j and u?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37333 and 629?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 553272 divided by 6\nAnswer: 92212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1891*c**2*n**3 - 750*c**2*n + 2*c*n**2 wrt n?\nAnswer: 11346*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**3 - 51*x**2 - 25*x - 7. Let i be y(-25). Calculate the remainder when 6168\/42 - 1\/i is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/18072 and 83\/73862523.\nAnswer: 590900184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 10*o - 2. Give x(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 + 1 + 7)*(0 + 9 - 6 + 5*k) to g + y*k and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 - 2. Let u(b) = 3*b**2 - b - 1. Let y(h) = 4*c(h) - 6*u(h). Let p be y(2). Does 3 divide (-26)\/(-3) + p\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4626698?\nAnswer: 2, 2313349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -43*g. Let h = -633 - -629. What is the units digit of y(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10284800 and 8640?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1859842 and 317534?\nAnswer: 13018894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.12830858407 + -9377.\nAnswer: -9378.12830858407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -251*o + 5756. What is x(32)?\nAnswer: -2276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-4) + (-9)\/(-3). Let w be (20\/(-12) - 1)*a. Let z be (-2 + w\/(-6))*-3. Is z not equal to -9\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**3 + 0*s**3 - 9*s**3 + 5*s**3.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 23*n**2 - 23*n - 24. Let d = 479 + -455. Let m be x(d). Solve w = -3*v + 2*w + 17, -2*v - 5*w = m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232\/87*((-9)\/(-12))\/1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2021753 + -7?\nAnswer: 2021746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*2*(4 - 1). Suppose 0 = -4*q + y - d, -2*q - y - 4 = -2*y. Let t(m) = m**3 - 7*m**3 + 7*m**3 - m. Give t(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 445231?\nAnswer: 445232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 94*d - 3 + 19 + 3 - 99*d. Is q(-8) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**4*j\/(j\/(j\/(j\/j**(-9)*j))))\/(j**7\/j**(-1\/2)))**30 assuming j is positive.\nAnswer: j**(-345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1419)\/(-7) + (-333)\/(-259). Which is smaller: 1219\/6 or j?\nAnswer: 1219\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-4 - 1) + (-2 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.67+-3708649502\nAnswer: -3708649502.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-954)\/(-53)*-4*(-3)\/72?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 - 3*r**4 + r**4 - 2*r**2 - 3*r**4 + 2*r**2 + (r**3 + 3*r**3 - 3*r**3)*(3*r + 2*r - 4*r) - 7*r**4 + 7*r**4 - 4*r**4.\nAnswer: -7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**3\/6 + 7*z. Let y(r) = -r - 1. Let a(x) = 5*n(x) + 3*y(x). Give a(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -33. Solve y*i - 12 = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 295062 and 243.\nAnswer: 23900022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1857 - -1b35?\nAnswer: 2ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 958*s**3 - 11961*s**2 + 24131*s**2 - 11858*s**2 wrt s?\nAnswer: 5748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2. Is 1 + s + (-24)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**7\/140 - p**6\/80 - 7*p**2. Suppose d(z) = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v = 1744. Let n(h) = -h + 17. Let x be n(6). Suppose x*l - v = 7*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 32976295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 4 = -3*g - 2*g, -2*q + 4 = 5*g for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 - 2 = 2*l, -2*l + 8 = 4*h. Let n be (-34)\/8 + 2 + (-4)\/l. Do -1 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 127c43?\nAnswer: 127c3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(70) + -6*-4*sqrt(70))*-5)\/(sqrt(40)*-4*1))**2 + 4.\nAnswer: 984631\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13188*259\nAnswer: -3415692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - -9. Suppose 0 = 3*s - s - 4*d - c, 3*d + 13 = 2*s. Suppose i - s + 1 = 0. Is i at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-4)\/(-3))*-6. Suppose -7*n + 30 = -v*n. Suppose -79 = -3*d - y, 5*y + n = 2*d - 41. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -384 + 513. Suppose -7*a = g - 192. Solve 0 = 4*r - 2*d - 12, -3*r = d + 2*d - a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5 = -1. Let g = 12 - i. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2836 - -7062. Let b = -2631 - -995. Let o = b + j. What is o rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 2\/13 (c) 3 (d) 409\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 31007525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34 - 28?\nAnswer: -5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48884782 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, p: 3}. Give prob of picking 1 p and 1 e.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/(-4)*(8 + 72\/(-6)). Let l(m) = -m**3 - 22*m**2 - 35*m - 15. Does 16 divide l(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/7456 and 99\/932?\nAnswer: 7456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2 - u - 4*u + 4*u + 0*u. Let r(k) = -6*k - 13. Determine -6*r(y) + 39*t(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/2 - (1 + -1). Let i be 13 + -2*j + 2. Suppose -3*u + 2*l + 17 = l, 0 = 4*u + l - i. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (9 - 12) + 29 + -33.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 864128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 19 and 15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b + 12 + 1\/30*b**5 + 0*b**2 - 2\/45*b**6 + 1\/63*b**7 + 0*b**4 + 0*b**3. Factor z(t).\nAnswer: 2*t**3*(t - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Solve 0 = 336*z - 456*z + 960 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + sqrt(128) + 0))**2 + 1 + (4*((-1 + sqrt(2))**2 - sqrt(2)) - (-2*sqrt(6))\/sqrt(3)).\nAnswer: 566*sqrt(2) + 1309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 128*m - 10124. Let x(o) = -69*o + 5061. Calculate 7*j(w) + 13*x(w).\nAnswer: -w - 5075","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7128 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u = 35*u - 127 - 163. Suppose 0 + u*v**2 + 15\/2*v**3 + 5\/2*v**4 + 0*v = 0. Calculate v.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p - 19. Let r be h(6). Which is smaller: r or -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = w - 15, -i - 12 = -2*w - 0*w. Put 3, -1, 2, i, -3 in ascending order.\nAnswer: -3, i, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 525 = 5*x - 2*p, -x - 88 = 3*p. Let y = 144 + x. Calculate the greatest common factor of 246 and y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/6 - (-14)\/(-84)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 - 8*v**3 - 12*v**2 + 32*v - 16.\nAnswer: 4*(v - 2)*(v - 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -571, -1396, -2555, -4048, -5875, -8036?\nAnswer: -10531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*b = -65, 3*b = s + 7*b - 24. Let d be (24\/s)\/((-6)\/(-20)). Solve d = -0*w + w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 90 (b) -118.5 (c) -310 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4))**(-12)\/(r\/(r*r\/(r\/(r*r**1*r))*r))**(-33)*r**(1\/3)\/(r*r**(-6))*(((r\/r**(-1))\/r)\/r*r*r)**(-5) assuming r is positive.\nAnswer: r**(-401\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*f + 8, -2*f + b + 6 = -2. Let h = -2 + 2. Suppose -f*o - 8 = 4*x, -o - 1 + 3 = h. Let g(v) = v**2 + 2*v + 1. What is g(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 - (-121)\/(-4))\/(-27)*54\/(-12).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 12:18 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oaofoafaoo. What is prob of picking 2 o and 1 f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by -2.\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3064?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**4\/24 + 5*c**3\/3 + c**2. Let z be (1\/2)\/((-1)\/14). Let d be t(z). Solve 9 = -3*u - l - 2*l, d = -3*l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4814.6 + 4308. What is g rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 7 + 9. Let x be (1\/k)\/(15\/(-330)). Let g = 62 + x. What are the prime factors of g?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 9410.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/7 + 151*h**2\/7 + 5624*h\/7 - 5776\/7 = 0.\nAnswer: -76, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000321341 to 7 decimal places.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297180871?\nAnswer: 13, 22860067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22562255 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/((-3120)\/60))\/((-5)\/4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11.9 != 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-132) + 1\/(-6). What is the third biggest value in m, -35, 0.1, 1\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -21, -3, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 38372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, h: 5, f: 3}. Give prob of sequence ss.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/5)*c*c*(c**(-4\/23)\/c)\/c)**0)**(-2\/9) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67812 = -52*k + 67188 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 3*p - 183 + 175, -3*p = 3*s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 367258 and 752?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*k + 35 = -372*k + 5*x, -3*k = 3*x - 27 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**5 - 33*t**4 + 54*t**3 + 456*t**2 - 1632*t + 1152 = 0. Calculate t.\nAnswer: -4, 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3055403 and 388.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4 - 3. Let u = 920 + -919. List the prime factors of (31 - r)\/u + 3.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2252*b + 200429 + 82514 = 46483 for b.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57.1 + 62. Let z = f - 5. Is -2\/7 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6859 + 202*m - 6859 + 3*m - 11 - 10 + 7 + (0*m + 0*m - m)*(-3 - 3 + 5) + 2 - 2 - m to x + h*m and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 1977*w + 133509. Determine f(70).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277464144?\nAnswer: 2, 3, 19, 307, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + 3.63.\nAnswer: 64.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 10 = 7*n. Suppose 7*g = n*g + 15. Let f = 6918 - 6903. Calculate the lowest common multiple of f and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.005 (b) 2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4*159\nAnswer: -636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d + 83. What is i(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10889900 and 560.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 674*j**3 - j**2 + 20*j - 41. What is the tens digit of u(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/1)\/((-55)\/(-66)*-1). Let i be 2*(-1)\/2*(-8 + v). Solve 4*n - 20 = -4*d, -4*n + 10 = -i*d - n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -425, -431, -437, -443?\nAnswer: -449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 5 - -22 - (-96 - -77)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, i: 3, x: 5, p: 4, h: 1, j: 1}. What is prob of sequence piji?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -79927*d**2 + 514*d. Let v(j) = 776*j**2 - 5*j. Give -514*v(m) - 5*x(m).\nAnswer: 771*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-1 + -2 + 2). Let x(k) = -2*k - 2. What is the units digit of x(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - b - 4*b)*(-42*b + 28*b - 46 + 17*b).\nAnswer: -9*b**2 + 138*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.42356 centuries in months?\nAnswer: 6508.272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1421255\/1327 and 1072 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/20 and 47\/214.\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**4\/4 - 4*h**3\/3 + 3*h**2\/2 - 3*h + 13. Let w be (-2)\/6 + (-24)\/9. Let x(a) = a - 2. Let b be x(w). Calculate y(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q - 6. Let w be o(3). Suppose w = -4*a + 142 - 10. What is the remainder when 97 is divided by a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 6, g: 1, z: 5, b: 7}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.08 + -0.38. Let y = 0.1 + -0.5. What is the second biggest value in c, 2\/7, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjxjxxjj. What is prob of sequence xj?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 383 - -5?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 1243?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxxququjqtqftqxuuxtq. What is prob of picking 2 j, 1 x, and 1 t?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 11*c - 27855 = 0. Let b(d) = -3095 - 2*d + c. Let v(s) = -42*s**2. Determine v(b(t)).\nAnswer: -168*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c + 1. Let y(j) = -47*j - 15. Let a(u) = 16*u + 6. Let h(n) = 8*a(n) + 3*y(n). Let z(k) = k**2 - 3*k. Let f be z(2). Determine f*h(s) + 7*b(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 8:18 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b**(-12)\/b)\/b*b))\/(b\/b**(4\/7)))\/(b\/b**(-8\/7)*b*b*b\/(b**(11\/3)*b)) assuming b is positive.\nAnswer: b**(275\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 d, and 1 y when three letters picked without replacement from {e: 7, y: 4, i: 1, d: 1, o: 2}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-4)\/(-3) + -1)*(5395 + -367)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289412199?\nAnswer: 3, 17, 19, 29, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgv when three letters picked without replacement from {r: 2, g: 1, a: 2, w: 1, v: 2, j: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*u - 15052, 3*x - 2*u + 4*u - 9032 = 0. List the prime factors of x.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*b + b + 0*b as p + u*b and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -1141\/60. Let k(s) be the third derivative of 1\/336*s**8 - y*s**5 - s**2 + 0 + 1\/210*s**7 - 1\/120*s**6 + 0*s + 0*s**3 + 0*s**4. Factor k(u).\nAnswer: u**2*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*l - 14 = -l, -16 = -4*c + 4*l. Let g be c*((-3)\/9 + 1). Suppose -5*t + 42 + 20 = 4*d, 0 = 2*t - g*d - 32. Solve -2*k + t - 6 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**3\/11 - 32*n**2\/11 - 30*n\/11 = 0. What is n?\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 5*s = -0*v + 16, 4*v + s = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7233182?\nAnswer: 2, 11, 328781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from ssxssxhwxslslxwxl?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20320666, -20320578, -20320488, -20320396, -20320302, -20320206, -20320108?\nAnswer: -20320008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 8*r - 141. Let n be b(18). Suppose p - n*p = 5*j - 72, 2*j = -5*p + 138. Solve 7*a - p = 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -97202.\nAnswer: -2\/48601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39834?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -872*a**2 + 10*a + 10. Let j(o) = -872*o**2 + 12*o + 12. Calculate -6*h(y) + 5*j(y).\nAnswer: 872*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 - 54*c**2 + 60*c**2. Let g(u) = u**2. Determine -40*g(x) + 4*k(x).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 364612*d**5 + 25*d**3 + 2*d**2 - 58130617*d.\nAnswer: 7292240*d**3 + 150*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*p = -80*p + 161*p + 117026. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(90\/15 + 19\/(-2)). Sort -4, h, 10 in increasing order.\nAnswer: -4, h, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1231.2 and 3016.\nAnswer: -3713299.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163752 divided by 54584.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4736 divided by -1184.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.248 take away 0.63506207?\nAnswer: -1.88306207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165505*d + 4 = -165507*d, -5*w - 5*d = 90 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 132651630 - -2?\nAnswer: 132651632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 5*t - 15 = 0, -33*c + 28*c - 50 = -2*t for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 0.4 (b) 1 (c) 64 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 12, -5 in decreasing order.\nAnswer: 12, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5561741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hiihliihkikiki. Give prob of sequence hhh.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2217603 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t. Let z(m) = 8*m - 1. Let g(o) = 7*p(o) + 3*z(o). Calculate g(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1\/4))**(8\/5)\/(z**2)**45)**(-15) assuming z is positive.\nAnswer: z**1332","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1922, 1938, 1956, 1976, 1998?\nAnswer: 2022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(2*-1)*1. Let u = 3 - 1. Let m(f) = f - 2*f - u*f + x*f. Let c(y) = -y. What is c(m(p))?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/8)\/((-10)\/8*(-6)\/60)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(72) + -1)**2*1*1.\nAnswer: -219 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 48 = -15*q. Suppose 5*r - q = r. Put r, -3, 2, -8 in decreasing order.\nAnswer: r, 2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/3 + 2\/3. Suppose 2*y - 5 = -7. What is the closest to 3\/5 in y, l, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553 is divided by 135?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 7:45 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 a factor of 35535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -8*u**2 - 10*u - 5. Let g(i) = -5*i**2 - 6*i - 3. Let h(r) = -5*g(r) + 3*s(r). Let x(m) = -21*m - m + 4*m - 9*m. What is x(h(b))?\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 13*v**2 - 2. Let c(w) = -w**3 + 2*w**2 + 5*w - 3. Let k be c(3). Let f be k - 1 - (-14)\/(-2). Is r(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1977\/(-398) + 24 + (-11 - 8) and 61\/6.\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1337546?\nAnswer: 2, 7, 95539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*n**3 + 58*n**3 + 67*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n + 94 = 4*r, r = -n + 22. Let p = -12 + 12. Suppose -4*i + p*f = 5*f - 2, -4 = -4*i - 4*f. What is the greatest common divisor of i and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*5\/(-10))\/((12\/28)\/(-3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03788848 - 379.25741152. Let d = 387.3 + g. Let u = d + -8. What is u rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-16)*(-32)\/12. Put -0.03, -5, 3, n in ascending order.\nAnswer: -5, n, -0.03, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 14, c: 5}. Give prob of picking 3 s.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**3 + 2*w**2 - w - 4. Let v be (1\/2)\/(8\/(-32)). Let d(j) = j**3 - j - 1. Let l = 0 - -1. Let f(o) = l*g(o) + v*d(o). Calculate f(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4847 (b) 4 (c) -2\/7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 2*y. Let f(z) = z**2 + 2*z - 1. Let n be f(-2). Let a be 1*(-4)\/(n - 1). Solve y*r = a*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 1. Let l(z) = z**2 + 12*z - 3. Let w(d) = -3*d**2 - 35*d + 8. Let a(t) = -17*l(t) - 6*w(t). Let n be a(-6). Give o(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(-6)\/(-9) - -3. Round z to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113 + 144. Suppose 0 = -4*r - n - 8, -5*r - x = -4*n. Let d(u) = u. Let c be d(0). Sort r, 1, c.\nAnswer: r, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9171754?\nAnswer: 2, 4585877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10 + (8 - (-70)\/(-1 - 6)). Solve 3*n - 9 = 0, -5*n = 2*x - h*n + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13708 - 2?\nAnswer: -1370a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**5\/60 - c**4\/24 + 13*c**3\/6 - c**2\/2 - c. Let w(s) be the first derivative of l(s). Let i be 9*110\/(-45) + 22. Give w(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13020 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 y = -18\/37 + 232\/629. Let m = 28 + -28. Which is the nearest to m? (a) y (b) 0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -10*r**4 - 15*r**3 + 5*r = 0?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14110 - -254069\/18. Calculate the common denominator of -83\/34 and d.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140 - 698*a**2 - 74 + 696*a**2.\nAnswer: -2*a**2 - 214","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -384730387819 + -0.6.\nAnswer: -384730387819.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*j - j**2 + 10250 - 6*j - 10257 in the form g + d*j**2 + f*j and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2. Suppose -21 = -0*d - 3*d + 3*f, -d = -5*f + 1. Let p(t) = -13*t - d*t + 19*t. Give p(k(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(5) + -1 - sqrt(5)) + (sqrt(55)*2)\/sqrt(11).\nAnswer: -4 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000650322612 to six decimal places.\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**9\/w**8*(w**(-2\/11))**(-29\/4))**(-49) assuming w is positive.\nAnswer: w**(-2499\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04512 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f - 114*f + 12*f to z*f + b and give z.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 5, 2, 170?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*k - 35 + 395 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-340)\/35)\/(-17))\/((-3)\/(14*-6))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**2 - 36*h + 249.\nAnswer: -4*h - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43016 - 5512?\nAnswer: -50530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 398 - 405. What is the tens digit of (-2)\/f - 4002\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.692981kg to nanograms.\nAnswer: 4692981000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23928*g**2 + 0 - 23526*g**2 + 0 - 3*g + 0 + 0.\nAnswer: 402*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3\/4 - 52995*i**2\/2 - 211989*i\/4 - 26499 = 0 for i.\nAnswer: -1, 35332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 345 = 3*n + 2*n, -5*s + 345 = -5*n. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 0*h + 0*h**2 - 1\/4*h**4 + 3 + h**3. Find the third derivative of i(n) wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 4*s**2 - 2*s. Suppose 3*y - 9 = 2*p + 47, -5*y - 3*p = -87. Suppose -2*r + 2 = r - 2*l, -4*r - 5*l = -y. Determine v(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 6 + (-25382)\/(-7). What is the highest common divisor of 96 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*b + 4328404 = -b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47 + -24?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31257 is divided by 5183.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 223534 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-264)\/(-28)*(-10934)\/(-8591)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*5\/4 + (-19)\/38. Let x(n) = -n**3 - 2*n**2 + 3*n + 5. Let t be x(f). Suppose t*z + 9 = 54. Calculate the remainder when 15 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -1560*g - 10783. Calculate t(-7).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 8.111 and 0.28.\nAnswer: 8.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5721 + 14106. Let o(r) = -r + 8385 - p. Let a(h) = 69*h**2 + 5*h - 5. Let u(x) = 172*x**2 + 12*x - 12. Let c(g) = 12*a(g) - 5*u(g). What is c(o(w))?\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31.2 + -186.8. Let r = q - -218. Put r, 1\/3, 1\/2, 0.2 in increasing order.\nAnswer: r, 0.2, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -3. Suppose o*y = -4*y. Solve -6*f + f + 10 = y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22788 divided by 19025?\nAnswer: -22788\/19025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10, 21, 32, 43, 54, 65?\n\"Answer: 11*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000199 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = r + 57, -3*r - 5*k = -2*k - 81 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-7))\/((-39)\/(2730\/125)).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -141*d**3*s + 1281*d**3 - 2*d*s**4 with respect to s.\nAnswer: -141*d**3 - 8*d*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 67*r**2 - r - 4. Let w(u) = -2*u**3 + 134*u**2 + 2*u + 8. Let j(x) = -7*k(x) - 3*w(x). Find the second derivative of j(y) wrt y.\nAnswer: -6*y + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 3880 = 960. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**4\/8 - 10*c**3\/3 + 11*c**2\/2 - 22. Let r(v) be the second derivative of n(v). Let p(m) = m + 7. Give 17*p(f) + 6*r(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**8\/20160 - h**6\/240 + h**5\/30 + 3*h**2. Let c(s) be the third derivative of g(s). What is the derivative of c(x) wrt x?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44344924?\nAnswer: 2, 13, 65599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 49, 5, 32, -1, -0.1, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(0 + 2 + -1). Let i(y) be the first derivative of y**3\/3 + 9*y**2\/2 + 17*y + 50. Let v be i(-7). Solve -k = 5*z + v*r, 5*z - 4*r + 3 = 11 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3700\/(-180) + 14 + 7. What is the third biggest value in -2\/19, -6, h?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i + 11*i + 194*i**3 - 15*i.\nAnswer: 194*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 109, 249, 445?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -1)*1 + -2. Suppose m*q = 2*q - 12. Solve -3*o - 6 - q = 5*g, 4*g + 12 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-435*j + 435*j - 21*j**2)*(-6*j**2 + j**2 + 3*j**2 - j) to the form a*j**2 + f*j + q + t*j**4 + w*j**3 and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -462976*i + 250. Let f be b(5). Let v = 1150630 + f. What is v rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.124 + 6.124. What is the third smallest value in -3, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2900007 + 0.29. Round j to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - h**2 - 3*h + 1. Calculate the remainder when i(4) is divided by (-14892)\/(-1122) + 3\/(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 10 = 2*c. Solve n + 16 = c*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 + 16 + 18)\/((-4)\/(-5)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1322 smaller than 1874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57912?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j. Let i(k) = -4*k**2 - 9*k - 9. Let d be 0 + 5*(-4)\/(-25)*5. Let c(z) = -2*z**2 - 4*z - 4. Let b(n) = d*i(n) - 9*c(n). Calculate b(v(r)).\nAnswer: 50*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -3 - 5) + (-2 - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbaa. What is prob of sequence aa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 35.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.70304609 to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2568 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44\/7, 0, 33, -1\/7 in ascending order.\nAnswer: -44\/7, -1\/7, 0, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6108.\nAnswer: 2, 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.8 + -12. Let g = -0.14 + 0.03. Let o = g - -0.21. Which is the closest to o? (a) q (b) -1\/6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwwn when four letters picked without replacement from uwljwwjnwuuf.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 10 - 2*j + 22 + 31 as v*j + x and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 13*y**2 - 13*y - 5. What is the remainder when 18 is divided by i(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 4:00 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 6:00 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g + 8 = 20*g. Sort 35, 6, g.\nAnswer: g, 6, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 times 5?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 1 (b) 4 (c) -4.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a - 5. List the prime factors of (a + -3)*(-3 - (-42)\/(-12)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20660443, -41320873, -61981303, -82641733, -103302163, -123962593?\nAnswer: -144623023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/23294210 and 92\/15.\nAnswer: 69882630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (657\/(-584)*(-4)\/(-18))\/((410\/(-8))\/5)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -3.03 (b) 5 (c) 0.2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1411204 divided by 8.\nAnswer: 352801\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/29)*l\/(l*l**(2\/65)) assuming l is positive.\nAnswer: l**(72\/1885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 68*(6 + (2 - 124\/16)). Let s(c) = 2*c**3 - 34*c**2 + 11*c - 55. Is s(p) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -2) + (-33 - (17 - 34)) + 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4\/9 - 11758*u**3\/3 + 45313960*u**2\/9 + 369326798048*u\/3 - 123113963648 = 0.\nAnswer: -4516, 1, 11076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22952*i + 415*i**2 - 108*i**2 + 22952*i.\nAnswer: 307*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 713?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 8*y + 2. Let j be a(-8). Let f(m) be the second derivative of m**3\/3 - m**2\/2 - 9*m. What is f(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-2*1\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1026 divided by -18\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 43 + 27 = 0. Let s be u\/85 - 16051\/(-119). Suppose 3*g + 2*g - 135 = 0. What is the highest common divisor of s and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2510115 is divided by 961?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-6)\/42)\/((-6)\/8).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -19*q - 3. Suppose -5*b - 25 = 3*f + 2, 0 = 3*b - 2*f + 1. Let x be b - (1 - 0 - 2). What is the units digit of h(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f + 1 - 1. Let h(p) be the third derivative of p**4\/12 + 2*p**2 - 8*p. Give k(h(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4471313 and -0.2.\nAnswer: -4471313.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -10*n - 154. Let h be s(-10). Is 76 a factor of (-2)\/18*1 + (-5028)\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1755282 to the nearest integer?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -39 + 0*v**3 + v**3 + 32 in the form o*v**2 + j*v**3 + q*v + i and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o - 16. Let t(b) = b - 1. Give -g(k) - 2*t(k).\nAnswer: k + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/44*(-2)\/(-4). Let t = 2.02 + -2. Let j = 4.02 - t. Sort 5, j, f in descending order.\nAnswer: 5, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r - 7. Suppose 5*c - 4*c = 7. What is the units digit of t(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 13. Let n = 7 - o. What is the second smallest value in n, -5, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f - 4. Let w(s) = 11*s + 9. Let j(a) = 13*o(a) + 6*w(a). Let g be j(-2). What is the second derivative of 2*i**2 + 0 + g + 3*i wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**4\/6 - 7*f**3\/6 + 13*f**2. Determine c(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-6) - 1)*0. Let w = 2 + b. What are the prime factors of (-55)\/(-3) + w\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z - 192 + 191 + 11*z)*(-3*z**2 + 8*z + 28*z**3 - 4*z - 29*z**3 + 3) in the form a*z**3 + s*z + d*z**2 + v*z**4 + f and give d.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5029390?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrorrrrror. What is prob of sequence oror?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52010 minus -15021?\nAnswer: 67031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 5, 36, -1, 0, 4, -26913?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*w + 12 = i, -4*w - 12 = -3*i. Suppose -2*d + d = i. Suppose d = c - 3*c + 6. Solve -c*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3916075, 4\/7, 0.4?\nAnswer: -3916075","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1284 = -6*z + j - 1250, -5*z - 5*j = 275 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, p: 1, b: 6, g: 2, s: 3, q: 5}. What is prob of sequence bnq?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68620124?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 782255260 rounded to the nearest one million?\nAnswer: 782000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 283 - 193. Suppose -63*i + 1818 = 38*i. Calculate the highest common divisor of p and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6443 + -0.170553907\nAnswer: 6442.829446093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-128)\/48*-5 - 13. What is the nearest to n in -3\/53, -0.3, -4?\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 933236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*p**3 - 7*p + 11*p + 19*p**3 - 2*p**2 - 1 - 1 in the form d*p**3 + y*p + t*p**2 + n and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from {j: 1, h: 1, s: 1, o: 1, e: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + 3 - (-1472 + 1488)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.599505 litres to millilitres.\nAnswer: 7599.505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = -5. Let f = -6 + r. Suppose -6*a + 8*a - 518 = f. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f758 + -1087?\nAnswer: -107df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1872.5 rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 7\/259137?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533.\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6093.001 nanometers in micrometers?\nAnswer: 6.093001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72 + 35*v**2 + 34*v**2 + 28*v**2 + 0 - 96*v**2 to the form u*v + o*v**2 + i and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**2*i**2 + 372*a**2*i + 178*a**2 + 16*a*i**2 + 1241*a*i - 5*i wrt a?\nAnswer: -8*i**2 + 744*i + 356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53.08 + 53. Let u = s - -0.079999816. What is u rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 296, -614, -1524?\nAnswer: -2434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007921 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 303. Does 28 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -304*x**3 + x + 14343 wrt x?\nAnswer: -912*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/4373200 and -22\/189225.\nAnswer: 39358800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*i**3*s**2 + 129*i**3*s + 2*i**3 - i**2*s + 15*s**2 + 653*s wrt i.\nAnswer: -234*s**2 + 774*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**6\/120 + a**5\/60 + a**4\/24 + a**3 - 37*a**2. Let n be h(0). Differentiate -19*u**3 - n*u**3 - 1 - 16 with respect to u.\nAnswer: -75*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1230 = -91*w + 24*w + 190*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-2)\/(-4)*(-9)\/36. Which is the nearest to t? (a) -3 (b) -6 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 6*z - 2 = 0. Let j be 48 + (z - 2\/(-2)). Suppose -3*i + 2*a = -185, i = 2*a + a + j. Does 19 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 526 - 524. Let k be (20\/(-50))\/((-1)\/10). What is the second smallest value in 1\/3, c, 0, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**2 - 9*l. Let y = -1002 - -1004. Let p(v) = 0*v**2 - 5*v**2 - 6*v**y + 8*v**2 - v**2. Determine i(p(c)).\nAnswer: -48*c**4 + 36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -186.3 - -168.44. Let k = x + 15. What is k rounded to 1 dp?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*p - 3 = 0, 12 = -2*p + 6. Solve 4*s - 10 = -5*n, -6*n + m*n = 4*s - 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*b = 2*g - 280, 2*b - 2*g - 170 = 0. Let x = b + -86. Suppose 0 = j - k, 0 = -x*j + j - 3*k + 18. Solve f + j*f = -20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - 38. Solve 0 = -5*z - 2*d + t, -2*z = -4*d - 5 - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**8\/16800 - l**7\/2100 - l**6\/600 - l**5\/300 + l**4\/8 + 2*l**2. Let d(a) be the second derivative of i(a). Factor d(u).\nAnswer: -2*(u + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - -2*sqrt(91)*-5)\/sqrt(7) + (sqrt(1053) - -6*sqrt(1053)*6).\nAnswer: 324*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjjujjujjjjjjjjjjj.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 9073 - 2031. Suppose -7853 = -5*b + u. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u**3 + 4*u**2 - 8*u - 7. Let v(j) = -26*j**3 - 20*j**2 + 40*j + 36. Let w(m) = 16*i(m) + 3*v(m). What are the prime factors of w(4)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2e9e (base 16) to base 9.\nAnswer: -17330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 206 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2450.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t. Let d(m) = m**2 + 7*m. Let y be d(-8). Let r(b) = -8 - 12*b + y. Calculate k(r(x)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 12 = 18. Let w be -32 - -27 - (r + -1). Let z(u) = u**3 + 10*u**2 + 9*u. Let c be z(w). Solve 3*l + 13 + 2 = c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, -2, 2 in increasing order.\nAnswer: -2, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 123478*a**5 + 4*a - 17533.\nAnswer: 2469560*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, c: 4, l: 2}. What is prob of sequence ccl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 172 + -106. Suppose -24 = -5*m - m. Suppose -m*q + 70 = -s. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6855, 27522, 61963, 110178, 172167, 247930?\nAnswer: 337467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-55)\/3 - (-2)\/6. Let x be 4\/j + (-164)\/(-9). Let w = x + 5. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99437 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*k - 3*k**3 + 165 + 4*k**3 - 172)*(-2*k**2 - k**2 + 5*k**2).\nAnswer: 2*k**5 - 18*k**3 - 14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u - 2*u - 6*u + (6*u - 3*u - u)*(-4 - 4 - 1))*(2 + 4 - 5) to i*u + t and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**3 + 65*j**2 + 13*j + 165. Calculate the remainder when c(-32) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 34\/5 of a gram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -17 - -3 - (84 + -78).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 2:28 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -7 + 10. Suppose -6*z + 32 = -4*g - 2*z, -20 = k*g - z. What is the units digit of (3 - -3)\/(g\/(-201))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**5 - 12*p**4 - 36*p**3.\nAnswer: 3*p**3*(p - 6)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6603 - 6603.1807. What is z rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1569, 2020, 2287, 2370, 2269, 1984, 1515?\n\"Answer: -92*x**2 + 727*x + 934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385169 is divided by 190579.\nAnswer: 4011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/676 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13\/5 or 0.28845?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -4)*8\/(-36).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3160540?\nAnswer: 2, 5, 37, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + q + 22. Let u be v(5). Sort 1, u, -5, -2 in decreasing order.\nAnswer: u, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62587620 by 1738545.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 3\/20*k**5 + 0 + 0*k**2 - 1\/6*k**4 + 2*k + 0*k**3. What is the third derivative of d(m) wrt m?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*h + 98 = 175 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3)*a)**1*(a**2)**(5\/9) assuming a is positive.\nAnswer: a**(13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -12. Let a(y) be the first derivative of h*y - y**4 + 3 + 5 - 11. Differentiate a(j) wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 59 + -17e0?\nAnswer: -1787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -219, -214, -207, -198, -187?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-470*z + 203*z - 84*z)*(2 - 1 + 1).\nAnswer: -702*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20))**2*6 - (3 + sqrt(80)) - sqrt(45)\/(sqrt(9) + sqrt(900)*-2 + sqrt(900)).\nAnswer: -35*sqrt(5)\/9 + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - h - 3. Suppose -h*c + 3 - 2 = 2*k, 5*k = -4*c + 6. Suppose 3*g - a - 2233 = 0, 3*g - 3729 = -2*g - k*a. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**2 + 2*c. Let x be p(3). Let a(l) = -l**2 + 6*l + 3. Let m be a(6). Suppose m*j + x = 6*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 1 = -1. Let w be s - (-22 + (-6)\/(-3)). Solve -h + 20 = 2*h - 5*p, 4*h + p = w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + 1)\/((-4)\/46). Let s be 122*((-155)\/35 + 5). Let k = i + s. Are k and 7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 240701 = -3*o, u - 70954 + 10800 = 5*o. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*(-3)\/9)\/(7\/((-7)\/(-3)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4275, -7 in descending order.\nAnswer: 4275, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1 = -2. Suppose c*v = -12, 4*r + 4*v = 3*v - 20. Let o(u) = -u + 9. Let j be o(r). Solve 0 = 5*g - k - j, -4*g - 4*k - 9 = -29 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 69, 128, 211, 318, 449?\nAnswer: 604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3558948 + -1810767. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**6\/30 - y**5\/4 - 3*y**4\/4 - 7*y**3\/6 - y**2 - 12*y. Factor j(q).\nAnswer: -(q + 1)**3*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from jnjjjxjpn.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = r - 2*k - 56, 0 = -5*r + 4*k + 280. Let s = r + 124. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {c: 2, m: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 883624345.\nAnswer: 5, 29, 61, 99901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 71479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5471027999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n - 2. Let g(u) = -u. Let w(j) = 5*g(j) - h(j). Let i be w(3). What is the common denominator of (-1296)\/128 + -1 + i and -7\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-5 + 8 - 10) + 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 4*v + 7. Let l be a(-3). Suppose 12 = -l*y + 52. What is the lowest common multiple of y and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 4*l = 140, 85 = -c - 3692*l + 3695*l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -23\/4 (c) 463 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40.99 - -41. What is the nearest to 0.1 in r, 3, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 4. Let x = n + 10. Let y = x + 4. Which is smaller: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277458.\nAnswer: 2, 3, 131, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 0*j**3 + 1\/4*j**4 + 15 - 1\/2*j**2 - 16*j. What is m(0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s**2 + 0*s**2 - 5*s**2 + (-6*s + 4*s + 0*s)*(2*s + 2 - 2))*(-4 + 3 + 5) to the form r + j*s + m*s**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (18 + -8 + -1 - 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*a + 8 = 0, 2*a = 60*q - 64*q + 6. Solve g + 5 = -q*i, 0 = i + i - 3*g + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b. Let x(r) = 203*r - 14. Let u(z) = -68*z + 4. Let w(a) = -7*u(a) - 2*x(a). Calculate w(v(t)).\nAnswer: 140*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-11.81.\nAnswer: -59.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 5) + -2 + -2 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14778833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 1276319968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 814156 divided by -116308.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 5 + (-64)\/8 - -5. Solve y - 19 = -w*y - 4*u, 3*y + 2*u = 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191764187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 815952?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 44 + 34 - 353*d)*(33*d - 161 + 161).\nAnswer: -11649*d**2 + 33*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 4:56 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 78534433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6969 is divided by 433?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2 - 151*y - 5394 = 0. What is y?\nAnswer: -93, -58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5864 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31\/3? (a) 2.073 (b) 3 (c) -10.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 7 = 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-17 + 12)) + -29 - (-134 + 58)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 555190.9 nanograms in tonnes?\nAnswer: 0.0000000005551909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 178 + -94. Let p = -171\/2 + h. Which is bigger: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2686\/(-204) - -15)*-6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2110, -83, -2 in ascending order.\nAnswer: -2110, -83, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 4400.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 - 0.68. Let g = -0.8 - j. Put g, -0.4, -1 in descending order.\nAnswer: g, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**5\/5 + 1442*v**4\/5 - 651444*v**3\/5 + 97340022*v**2\/5 - 218681775*v + 2421638856\/5 = 0?\nAnswer: 3, 9, 351, 728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**6\/72 + f**5\/24 + 5*f**4\/12 - 23*f**3\/3 - 48*f. Let a(h) be the second derivative of m(h). What is y in a(y) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 - 2*x**5 + x**5 + (11 - 5*x**3 - 11)*(2 - 2 + x**2) + 251 - 127 - x**5 - 2*x - 126.\nAnswer: -8*x**5 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-300 - -279)*(-1)\/(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*b - 26. Suppose -2*p + b = 5. What is the second derivative of 5*k - 6*k + 3*k + 6*k**p wrt k?\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 823258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 9*t. Let n(z) = -18 + 37 - 19 + 10*z**2. Calculate r(n(v)).\nAnswer: 90*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qebb when four letters picked without replacement from {e: 2, b: 11, q: 2}?\nAnswer: 11\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -14 + 4 + (-5808)\/(-582). Which is the third biggest value? (a) 1 (b) r (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 11:25 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and -1950.1.\nAnswer: 117.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 11) in base 8?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*b - 320*b = 190 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 + 3861?\nAnswer: 3841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12302102 - -3103?\nAnswer: -12232333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -423?\nAnswer: 423.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 3:03 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + -9. Let i = 11 + a. Which is greater: i or -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or -0.0374?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-274 - -1) + (-5 - (-2 + -3)). Let r = 28 - k. List the prime factors of r.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 20*l**2 - 48*l - 7. Determine h(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*f - 2)*(0 + 2 - 1) - 2778*f + 4076*f + 4151*f.\nAnswer: 5452*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + -1 + -2*sqrt(432) + sqrt(432) + (-4*(-1*sqrt(432))**2 - sqrt(432)).\nAnswer: -1729 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-26)\/(-18))\/(16\/(-240)*5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-5)*w**12*w)\/(w**(-3\/14))**35)**(-4\/9) assuming w is positive.\nAnswer: w**(-62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -183083*8.6\nAnswer: -1574513.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 126 - 7*u + 5*u - 126. Let t(v) = -v + 85. Let x(w) = -1. Let i(c) = t(c) + 5*x(c). Calculate l(i(j)).\nAnswer: 2*j - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2 (b) 0.1 (c) 3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**6\/18 + i**4\/2 - 4*i**3\/3 - 2*i. Let r(h) be the second derivative of a(h). Differentiate r(l) with respect to l.\nAnswer: -40*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -370 (base 13) to base 12\nAnswer: -41a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-35))\/((-66)\/231). What is the nearest to 1\/3 in r, -3\/2, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n - 7*n + n to the form h*n + y and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 68, 53, 8, -67?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 485 (b) -13 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 250 and 6340.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 a factor of 953445433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/1320)\/((-3)\/12)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3 - 128*x**2 - 2538*x - 14580 = 0. Calculate x.\nAnswer: -27, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152150930?\nAnswer: 2, 5, 15215093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 180.2 + -189.2. Sort 4, -0.5, -0.1, u in decreasing order.\nAnswer: 4, -0.1, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2 = -3*z, 2*z = 23*h - 27*h + 20 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/13, 0, 1\/174, -0.1, 8.4 in increasing order.\nAnswer: -4\/13, -0.1, 0, 1\/174, 8.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 - (-6 - -13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6763 = 318*d - 1169 - 2880 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h = 0. Suppose h = 3*b - 6. Factor -2\/9*v**3 - 8\/9*v + 0 - 8\/9*v**b.\nAnswer: -2*v*(v + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - -26*(-4)\/8. Let z be ((-18)\/g)\/((-1)\/(-2)). Solve 29*w + 8*w - w + 88*w**z + 150*w**2 + 14*w**4 = 0.\nAnswer: -3, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1207*k**2 + 1130*k**2 - 2336*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-184)\/(-408) - (-5)\/(-15)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 16. Suppose 3*i - 5 = -2*i - s*o, o = -5*i + 9. Suppose -a + 1 = i*f, 2*f - 15 = 2*a - 5*a. Solve m = -3*d - 13, d - m + 0 + a = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/11 - 122*z**2\/11 - 204*z + 4968\/11 = 0. Calculate z.\nAnswer: -18, 2, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = -9*p - v + 36, -96 = 5*p - 4*v. Let n = 126 + p. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 1:56 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 41 - 1671 = 0. List the prime factors of s.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**5 - 716*o**4 - 11684*o**3 + 262268*o**2 + 1813368*o + 2821248 = 0 for o.\nAnswer: -158, -31, -3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*s + 12. Suppose s*t = o - 3*o - 6, -6 = 3*t. Let u be o\/(-4) - 43\/4. Which is bigger: -10 or u?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*o**3*p**3*s + 2*o**3*s**2 + o**2*p**2*s + 2*o**2*p*s**2 - 35*o*p**3*s**2 + s**2 wrt o?\nAnswer: 354*p**3*s + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/40 - 4\/(-10). Let h(v) = 14 + 129*v**2 - 6 - v - 130*v**2 - v**3. Give h(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4615967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f**2 + 31*f - 257. Let u(a) = 3*a**2 + 11*a - 94. Let k(h) = -4*j(h) + 11*u(h). Calculate k(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -126*d - 94. Let w be t(-5). Let r = -204 + w. Does 83 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417 = -4*t + 441 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3))**17\/((m*m**(4\/3)*m)\/m*m\/(m**(-2\/7)\/m)) assuming m is positive.\nAnswer: m**(-1168\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*k - 1 - 4, 2*x - 10 = 0. Suppose 45 = 5*m + 2*l, k*m + 2*m - 9 = l. Find the second derivative of m*o - 2*o - 3*o**3 + 4*o**3 + o**3 wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 + 102. Let k = -50 + m. Differentiate 10 + 4 - k - 6 - 22*t**2 wrt t.\nAnswer: -44*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**4 - 3*z**4 + 2*z**4)*(-3 + 2*z + 3) + (z + 5*z - 5*z)*(3*z**4 - 167*z**4 - 696*z**4).\nAnswer: -862*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2102 (base 5) to base 4\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**3 - 3210*i**2 - 232329*i - 3922716 = 0?\nAnswer: -41, -28, 1139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, 4, 0.4, 13, -0.5, 1\/38 in ascending order.\nAnswer: -0.7, -0.5, 1\/38, 0.4, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -393 - -1081. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 20*o**2 + 101*o + 5. Calculate the smallest common multiple of 135 and b(10).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.972 - 0.242. What is the second biggest value in b, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057)*-1 + -2 - -4*(sqrt(2057) + 2))**2.\nAnswer: 396*sqrt(17) + 18549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 4:53 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 137 = c - 4*f, c - 25 = -2*f. Let a = 56 + c. Is a < 84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 34\/6 + 8\/(-12). Suppose 4*y - 4*s + 369 = n*y, -2*y - s = -759. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1493\/8 + -1491\/8. Let d = -0.7 - 0.3. Which is the nearest to -2\/3? (a) y (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 11:45 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8586171*h + 17746149 with respect to h.\nAnswer: -8586171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*g - 33*g - 147 - 73 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.5 - 2. Let l = f - -5.5. Let j = l + -3. Which is the second biggest value? (a) 4 (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382567 is divided by 232.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0228 - 0.4248. Let k = -0.43 - c. Let d = 0.0285 + k. Round d to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 703 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1796 is divided by 166?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**3 - 11*s**2 - 40*s - 28 = 0.\nAnswer: -2, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/3058 and 15 + ((-59299)\/1881 - -17).\nAnswer: 27522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 61?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 707*n - 8 + 127*n + 20 - 12 to the form b + g*n and give g.\nAnswer: 834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 32 = -a. Suppose 0 = -10*s + a*s + 38. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 386 - 381. Let p = 5 + 19. Suppose p = -g + f*g - l, -l + 25 = 3*g. Solve -16 = -3*i + g*i, -3*i - 21 = -3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 10:08 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35531 times -10?\nAnswer: 3.5531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 368707347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-7))\/((-12)\/(-24)). Let k = -3 + 2.7. What is the smallest value in 1\/4, k, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 222?\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1381*c**3 + 4*c**4 - 1380*c**3 - 3*c**2 - 26 + 2*c + 12*c**4 - 4*c**4 + 4*c**2 as f + n*c + x*c**4 + u*c**2 + d*c**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 28\/14 + -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175\/3 less than or equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/706992 and 125\/143519376.\nAnswer: 143519376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.08 + 32.22. Let s = h + -36. Let v = 2.611 + s. Round v to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 26. Let n(d) = -19*d**2. What is n(q(m))?\nAnswer: -19*m**2 + 988*m - 12844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 0 - (8 - 19). Is 771\/r + 2\/(-8) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 6 = -20*l - 43 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 24*t + 62. Calculate the least common multiple of i(-26) and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (120\/3)\/(-4)*((-1208)\/(-96) - 13). Determine b so that 1\/3 + 21\/2*b**2 - u*b = 0.\nAnswer: 1\/9, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1556*r**4 + r**3 + 144*r**2 + 11*r wrt r.\nAnswer: -37344*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -1 + 5 + -5. Suppose 13*f + 30 = 15*f. Solve y = j + 2*j + f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 401, 704, 1219, 1952, 2909, 4096?\n\"Answer: t**3 + 100*t**2 - 4*t + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00256 to 4 dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 0*c**4 - 5*c**3 + 30*c**2 + 0*c + 0 - 1\/12*c**5. Differentiate b(v) with respect to v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u**3 - 14*u**2 + 89*u - 1881. Is a(40) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8 = -4. Find the third derivative of -2*v + 7*v**g + 2*v - 5*v**2 wrt v.\nAnswer: 168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 4*y - 50, 2*b = y - 7 - 13. Let a(p) = 2*p**2 + 2. Let m be a(2). Let v = m + b. Solve -4*g + 2*c - 24 = 0, v = 2*g + 3*c - 0 - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) 3 (c) 2\/821533\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 - -155. Let g = 175 - z. Suppose s - 58 = g. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 5*t**2 + t. Suppose 0 = -2*u - 3*i + 18, 3*u - 3*i - 23 = 4. Let k(r) = 37 - 3*r - 50 + u*r. Let x be k(3). Give w(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 441 and 378.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6284748 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6022\/711 - -81\/79. Let c = 17 - -11. Calculate the common denominator of (c\/54)\/(6\/(-9)) and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2\/11 (b) 5 (c) -1\/2 (d) 604\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 170 - -186. Let l be -2 - -2 - 2 - o\/12. Which is smaller: l or -31?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2273264703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-6*(sqrt(405)\/sqrt(9) + sqrt(45))*4)\/(sqrt(36)\/(sqrt(32)\/(sqrt(32)\/sqrt(4))))*5.\nAnswer: 960*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 314511593 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12563 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2094244*x. Let p(r) = 2*r. Give q(p(l)).\nAnswer: -4188488*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 192 - 24\/6. What is the highest common factor of 21 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 2:45 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1395922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (26\/(-52))\/((-2)\/48). Solve -4*j = -4 - c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 + 2*z**3 - z**3)*(1 - 1 + 2) + 2*z**3 + z**3 - z**3 + (3 - 4 + 0)*(z**3 + 0 + 0).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - -1 - (-9 + 4). Suppose -5*y + 91 = 2*m, z*m - 7*m + 274 = -3*y. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58136 and 30788?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 236842 and 920192.\nAnswer: 1379367808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 4*u - a - 96, -u + 7 = 4*a. Let j(h) = 23*h - 5. Let t be j(5). Suppose -v - 3*b = -u, 3*b = 3*v - t + 29. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**8\/168 - q**4\/12 + 2*q**2 + 4. Let o(c) be the second derivative of j(c). Find the second derivative of o(p) wrt p.\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 63303800749 and -0.4.\nAnswer: 63303800748.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(48) + 2 - sqrt(3)))**2 + (0 + sqrt(75) - (0 + sqrt(3) + 1)).\nAnswer: 62 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 4*o + 19, 21*v - 7*v - 58 = -4*o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00023332816 to 7 decimal places.\nAnswer: -0.0002333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**4\/4 + 27*b**3 + 111*b**2\/4 = 0. Calculate b.\nAnswer: -1, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h. Let o be (-13)\/(-15) - 10\/(-75). Let g be (-1 - o*-2)\/((-21)\/(-42)). Give p(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5623124 to the nearest integer?\nAnswer: 2371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 507 and 207324?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(0 + 1 + 30\/(-20)). Let n(y) = 7*y + 165. Let d be n(-23). Solve 9*h - b = d*h + 15, -x*h + b + 3 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (0 + 63\/14)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2693987.\nAnswer: 41, 65707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18630?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -152a8579?\nAnswer: 152a8582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.26854146*-0.4.\nAnswer: 0.107416584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 14*j**3 + j - 2. Suppose -3*q - 12 = -15. List the prime factors of k(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128, 132, 114, 68, -12, -132?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25796*y**3 + 7224*y - 3?\nAnswer: -154776*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-9)\/u**3*(u*u**(-1)\/u)**(-26)*(u**(2\/7)*u)**22\/(u**(-1\/4))**6 assuming u is positive.\nAnswer: u**(613\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c + 3. Let f(u) = -2*u**3 - 38*u**2 + 40*u - 1. Let v be f(-20). Let o(q) = q - 1. Give v*h(j) - 3*o(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 27*d - 133. Let b be f(-13). Solve -2*v = b - 43 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*v - 0*d - 10, -4*d - 3 = -5*v. Let g(y) = -52*y - 1. What is the remainder when g(v) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, 101, 224, 319, 386, 425, 436?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 129426325 by 25885265.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/19)\/(-7 + 0)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -69326690 to the nearest one hundred thousand.\nAnswer: -69300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 31. What are the prime factors of (w\/(-6))\/(0 - (-10)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-5\/7))\/x*x)**(3\/8))**(8\/7) assuming x is positive.\nAnswer: x**(36\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49056\/36 - 10\/6.\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13840 and 2238560.\nAnswer: 387270880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(216) - sqrt(216))\/(-2*sqrt(84)\/sqrt(7)).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.02 or -20?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -22. Suppose d = 7*u - 18. Suppose -u - 35 = -2*g. Calculate the greatest common divisor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339380 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2751 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, 0.5, 4, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -167 + 172. Put 4, -3, m in increasing order.\nAnswer: -3, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 2\/25 (c) 1\/9 (d) 2\/13 (e) -2\/43 (f) 3\/6448\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 498 - 984. Let w = 1712 + f. Suppose -8*y + 6*y = -w. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 267179 divided by 5.\nAnswer: 267179\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1927, -8266, -19025, -34204, -53803, -77822?\nAnswer: -106261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/3906396 and 29\/1838304.\nAnswer: 31251168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 6. Let a be n(0). Suppose 2 = 4*g - a. Find the third derivative of -2*v**2 + 5*v**2 + v**g + 4*v**6 wrt v.\nAnswer: 480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**5\/12 + 10*x**3\/3 + 154*x**2. Determine o, given that r(o) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/9 and 85\/114.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(448)\/sqrt(4)*-4)**2.\nAnswer: 7168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3725145 is divided by 266081?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6 - 1614\/(-126). Let l = a - -200\/21. Calculate the common denominator of 1*(-3)\/(54\/(-124)) and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 167661 and 5029830?\nAnswer: 5029830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 735 by -84.\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = 19*h - 233 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 - 4*x**3 + 3*x**3 + 2*x**3 + 4*x**3 - 5*x**3 + (-2*x + 0*x + 4*x)*(-3*x + 3*x - x**2) + (2*x - x - 3 + x)*(-3*x**2 + 3 + 4*x**2 - 2).\nAnswer: -x**3 - 3*x**2 + 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -869443 - -323443. Round b to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14919033047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.35 + 0.3. Let k = p - -0.1. Let v = -0.05 - k. What is the closest to v in 2\/7, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 14*p + 8. Let r = 185 - 125. Suppose -2*x = -66 + r. Let w(l) = 5*l + 3. What is x*f(z) - 8*w(z)?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q - 62. Let v be p(-16). Suppose -v*k + 32 + 29 = -m, -5 = -m. Let b = k + -30. What is the greatest common factor of 9 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 97 and 533038.\nAnswer: 51704686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1127597?\nAnswer: 631, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 - 98*n**3 + 189*n**3 - 6*n**2 + 167*n**3 + 18*n**3 - n**2.\nAnswer: 276*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -57\/16669798?\nAnswer: -57\/16669798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*i**6 + 19*i**6 - 10*i**2 - 8*i**2 - 21*i**2 wrt i?\nAnswer: 1320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 2, 0 in decreasing order.\nAnswer: 2, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*1\/2 + 842 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 0.6. Let x = 321979 + -321974. Sort 2, -0.8, u, x.\nAnswer: -0.8, u, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 + -1. Let i be (-6)\/(-9) + (-26)\/39. Which is the closest to 5\/2? (a) d (b) -0.3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -604.8 + 632.03. Let u = z + -4.23. Let p = -1.9 - -2. Is p less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-6)\/(j\/(j\/j**(1\/8)))*(j\/j**(-1\/6))**(2\/87) assuming j is positive.\nAnswer: j**(-12733\/2088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - 1 - (-2 - (-812)\/126). Let p = -49 - -46. What is the closest to -1 in -2\/11, p, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4278548061?\nAnswer: 3, 52821581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ka when two letters picked without replacement from tauktttkkktaakkkkk.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44382\/(-90) + 4\/30. Let a = j - -654. What are the prime factors of a?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (94 + -95)*2\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*v - 27*v - 3734 = -8766 for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2\/21, 0.023, -0.2, -5?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 0.4, 12, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 + 3*l**2 + l**2 + (5*l**2 - 2*l**2 + 3*l**2)*(3 - 4 + 3) + 2*l**2 + 0*l**2 - 4*l**2 as g*l + m*l**2 + w and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2537352*-1.46.\nAnswer: 0.370453392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 7*y - 8 = 0, 0 = 8*b - 4*y - 24. What is the lowest common multiple of 20 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 12104693.\nAnswer: 2\/12104693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2. Let j = 4 + -7. Let h(o) = -o**3 + 3*o**2 + 2*o. Let m(p) = j*h(p) + 6*z(p). Let m(n) = 0. What is n?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b**2. Suppose 0 = q + 4*g + 7, 7*g = 2*g - 5. Let l be (-1 + 0)\/(q\/12). Let u(n) = -3*n + l*n + 0*n + n. Give k(u(t)).\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-27)*(-18)\/63?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21993903 by -1293759.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v - 15. Calculate d(-4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + 24. Suppose -3*n + n + m = -59, -w = -2*n - 5*m. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 24*k - 8*k. Solve -k*f = -6*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 = -5*s - 12, 3*q - 8 = -2*s. What is the third derivative of 21*p**4 - 18*p**4 - 12*p**q + 10*p**2 wrt p?\nAnswer: -216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (300\/(-40))\/(-3)*(-5)\/((-50)\/(-28)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1df225 (base 16) in base 15?\nAnswer: -28b758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1020, -778, -2576?\nAnswer: -4374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 300024 divided by 33336?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 + -6 + 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.5, 1\/3, -11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1397*v**2 + 12*v + 24. What are the prime factors of k(-2)?\nAnswer: 2, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*m = 6, -4*i + 2*i + m = -2. Let v(g) = -1 + 2*g - 5*g + 2. Let b be v(-3). Calculate the highest common factor of b and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-8) - (-4)\/(-16). Solve 12 = a*i - 4*l - 14, -4*i + 2*l + 28 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15550000 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/48*(-33)\/((-1155)\/14).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 13 - (-38 + 15 + -2)) + -1 + 17\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -7. Let j be q\/(-36) + 14\/63. Put -1, -3, j in increasing order.\nAnswer: -3, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-88)\/(-84) - (2 + -1). Let o = 55\/168 + m. Let f be 42\/35*11\/66. Sort o, 2, f, 3\/5 in descending order.\nAnswer: 2, 3\/5, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280003 = 5*p - p + 3*v, -3*p + 210003 = 3*v. What is p rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113 divided by 9886.\nAnswer: 113\/9886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1116, 2241, 3366?\nAnswer: 4491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 206725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l - 3*l**4 - 15*l**4 - 7*l - 2*l**3 as o*l + t*l**2 + h*l**4 + v + s*l**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 1)*(-5 - 2*d + 5) + 3*d - 2*d + 3*d + (1 + 2 - 4)*(-2*d + 0 + 0) in the form w + p*d and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*q + 4. Let r = 110332 - 110302. What is the smallest common multiple of q and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 3*u**2 + 28*u - 82. Suppose 2*n - 9 = n. What is the smallest common multiple of n and g(5)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*t - 20*t + 43*t = 81*t + 87*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -132 - 11455*m**2 + 1316*m**2 - 142 + 275 in the form f*m**2 + d*m + c and give f.\nAnswer: -10139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*q = 264 + 216 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c08e (base 15) in base 4?\nAnswer: 323112332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13252.\nAnswer: 2, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 17 - 27 - 17 - -3\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/97 in 1.7, 1\/5, -19?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(1\/11)*i))\/(i*(i**(16\/3)*i*i)\/i*i*i*i*i) assuming i is positive.\nAnswer: i**(-410\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -10. Let r(z) = z - 2. Let t be r(b). Find the third derivative of -o**4 - o**2 + 2*o**2 - t*o**2 + 0*o**4 wrt o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3500288158.\nAnswer: 2, 449, 3897871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 5. Suppose 3*z + 5 = a, 3*a + 5 = 7*a + 3*z. Suppose -5*p - 4*w = 31, 4*w + 15 = -a*p + 5. Does 2 divide s(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1099*j**2 - 1271*j**2 - 1240*j**2.\nAnswer: -1412*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535969.\nAnswer: 7, 23, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -539, -540, -541, -542?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 3*o = -19, -52*m = -53*m + 5*o + 23 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 858 - 858. Put 4, 29, 3, q in descending order.\nAnswer: 29, 4, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.01 (b) 3 (c) 10 (d) -0.4 (e) 6 (f) 1255\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 0 + 84*24\/32.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-five quarters of a hour?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eueehejehiehh. What is prob of sequence ue?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 5. Let p(o) = -2*o + 11. Suppose 3*k + 34 = a - 5*a, -4*k = 4*a + 36. Let n = 27 + -24. Determine a*r(m) + n*p(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(76) + (sqrt(76) + sqrt(76)*3 - sqrt(76)))*5)\/(sqrt(16)\/(-6*sqrt(64)))*-3 + 4)*-1)**2.\nAnswer: -23040*sqrt(19) + 157593616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*q, -y - y + 7 = -q. Let v = -51 + 155\/3. Which is greater: y or v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 17133, -60 in increasing order.\nAnswer: -60, -1, 3, 17133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from {c: 7, j: 1, b: 4, k: 1, q: 4}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5195 = 48*a - 43*a. What are the prime factors of a?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9355 - 1.\nAnswer: 9354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22812343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-2)*(483\/(-161))\/((-12)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12, -2, 3, 0.5, 65174.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.6 - -182.\nAnswer: 187.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - z + 5. Let c be p(0). Suppose -2*x - 2 = -4*x, -c*d + 4*x = -16. Suppose d*f = 70 + 10. What is the highest common divisor of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**6\/40 - f**5\/30 + 7*f**2\/2 + 6. Let p(k) be the second derivative of a(k). Find the third derivative of p(q) wrt q.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2514050?\nAnswer: 2, 5, 7, 11, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 g when four letters picked without replacement from jjvjwjvfjjgwwjwvfvj.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4*17.06\nAnswer: 68.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -715 + 702. What is the remainder when 1 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-195))\/(170\/(-693940)*-157).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5\/51 + -247\/1479. Find the common denominator of a and -23\/3.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, y: 1, t: 3, b: 2, w: 5}. Give prob of picking 1 b, 1 h, and 1 t.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(400)\/(sqrt(64)\/sqrt(8)) + (-5 + sqrt(50)*4 - sqrt(50) - sqrt(50))))**2.\nAnswer: -5400*sqrt(2) + 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/3)\/(1\/51). Calculate the least common multiple of 1\/(-2) - p\/(-10) and (-672)\/(-72) + -10 - (-64)\/6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158437696 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 - 9*(-38)\/3591. Find p such that -3\/7*p**2 + 6\/7*p - g = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0680677km in meters?\nAnswer: 68.0677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*c + 24*c + 40*c**2 - 20*c wrt c.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 2:34 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 1 = 3*m, m = -2*d + 7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3871949 divided by -223?\nAnswer: -17363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000044439 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 16. Suppose 0 = -6*b - 1 - t. List the prime factors of b + 2 + 1 + 133.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Let k(p) = p. Let w be k(5). What is the second derivative of 0*a + 2*a**2 + a**o - a**2 - w*a wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171 = -47*k + 59 - 170 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 106*k**3 - 2*k + 1. Determine d(1).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42127.\nAnswer: 103, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - (-15 + 11 + -5). Solve o = 5*i + 39 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79286 (base 15) to base 5.\nAnswer: -44312301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 6*m + 25*m + 10*m - 5*m - 5*m to x + v*m and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -914.4 - -904.4. Which is the closest to -1? (a) -1\/8 (b) f (c) -1\/6 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7854 = 14*s - 15*s + 23*s. Calculate the greatest common factor of s and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 6*y**2 - 4*y. Suppose -7*q + 20 = -3*q. Let s be x(q). Solve -s*w - 6 - 9 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5781 and 105891?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 0\/1)\/1. Let l be (2 - j) + 48\/(-21). Which is greater: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -6333, 29, 1\/3 in increasing order.\nAnswer: -6333, -4\/7, 1\/3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 921989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 6653 = -3*x, -2*k + 6651 = -7*k + x. Let q = k - -2522. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 24*z**2 - 40*z + 66. Let d be y(24). Let c = -897 - d. Suppose -18 = -4*h + 2*h. Put h, c, 3 in increasing order.\nAnswer: c, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 2. Let m = 5 + -3. Let r(h) = 10*h**2 + 6. Let d(g) = 17*g**2 + 11. Let w(t) = -3*d(t) + 5*r(t). What is m*w(o) + 3*l(o)?\nAnswer: -2*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 + 17*n**4 - 23*n**4 + 3*n**3 - 4*n + 4*n - n**4 + (-n + n + n**3)*(0*n - 2*n + n) + 0*n**2 + 0*n**2 + n**4.\nAnswer: -7*n**4 + n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 591487.\nAnswer: 13, 173, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -107 equal to -109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 249145175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5404 and 267092?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12513*c - 34*c**2 + 8*c**2 - 1 + 12513*c.\nAnswer: -26*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 26 = -s, 37 = -0*s + 2*s - 3*g. Suppose -s*b + 36 = -10*b. Suppose -y + b + 3 = 0. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -202.886398 to two decimal places.\nAnswer: -202.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292640*20.5.\nAnswer: 5999120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1853\/42744 - 3\/1781. Let u(d) be the third derivative of 1\/3*d**3 + 2*d**2 + 0 + 0*d + w*d**4. Determine u(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 12 = -5*i. Let p = -35.04 - -34.54. Which is the second biggest value? (a) 0.27 (b) i (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 a when three letters picked without replacement from {b: 2, w: 4, a: 10}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -7*t**3 - 3*t**2 + 25*t + 13. Let k(h) = -6*h**3 - 3*h**2 + 24*h + 12. Let s(d) = 6*k(d) - 5*u(d). Let i be s(-6). Solve 5*r + 4 = -i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5477.\nAnswer: 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*c + c**2 + 18*c + 58*c + (-2*c + 2*c + 3*c)*(-4 + 2*c + 4).\nAnswer: 7*c**2 + 88*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29356697.\nAnswer: 41, 367, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 158 = -v. Let t = v - -114. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h + 27. Let o be a(-7). Let b(m) = -204*m - 97. Is b(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19\/((-56)\/35 + 5544\/3440). What is the highest common divisor of 86 and a?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2. Let y(v) = v**3 + 7*v**2 + 5*v. Let l be y(-6). Let z(s) = -l + 3*s**2 + 6 + s**2. Give z(i(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 15*g**2 - 13*g + 20. What is u(16)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/2 + -7)*(2 - 21). Calculate the highest common factor of 19 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*k - v - 86 = 0, v - 27 = 2*k - 13 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.2 + -8. Let c = d + -1.2. What is the nearest to 2 in -0.5, -0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k**3 + 6*k**3 - 2*k**3)*(79*k + 138*k - 5*k + (-3*k + 2*k + 3*k)*(1 + 4 - 3)) in the form v*k + s*k**4 + m + a*k**2 + t*k**3 and give s.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 - 16. What is b rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 12. Let r be z(9). Let l be 4*r\/3*1. Suppose f + 218 = 4*a + 10, 0 = -l*a + 3*f + 216. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 409*l + 11835. Calculate v(-29).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2176 and 722704.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 9*q + 10. Let a be d(-9). Let g(x) = 5 - 15*x - 3*x**3 + 4*x**3 - 2*x**2 + a*x. What is g(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13760 is divided by 509?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -803.792062 to 1 decimal place.\nAnswer: -803.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c + 15. Let r(p) = 5*p - 24. Let t(o) = 5*r(o) + 8*s(o). Let a(v) be the third derivative of v**5\/10 + 9*v**2. Calculate t(a(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18403, 18353, 18303, 18253?\nAnswer: 18203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/34)*n*n*n**(-6\/13)*n)**(3\/8) assuming n is positive.\nAnswer: n**(4731\/3536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 + -0.11. Let d = -0.05 + r. Let q = -0.2 - -0.7. What is the second smallest value in q, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15724*r**4 + 15086*r**4 - 44102*r**4 + 4889 + 14693*r**4 with respect to r.\nAnswer: 5604*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - ((-8)\/(-5) + -1). Let i = -879 + 615. Let a be (-116)\/i - (-2)\/33. Sort 2\/3, 3, q, a in decreasing order.\nAnswer: 3, 2\/3, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -17. Let l = 9 - 8. What is the nearest to u in 2\/9, l, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 403 = -73. Let o = 22 - 16. What is the least common multiple of o and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**3 - 6357436*c**2 + 12714888*c = 0.\nAnswer: -1589361, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3376 - 3289. Solve 0 = c + q - 88 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i = 2 + 40. Suppose -f = i*f - 22389. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16 + 23 + -6)*473. Solve -478*r + s*r - 5 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35\/148 + 1\/74. Let t = 940.3 + -940. Which is the closest to -0.1? (a) -1 (b) t (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - 5 - 22708\/11305. Let v = 90001\/135660 + p. Calculate the common denominator of v and -47\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2971138773 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9024950747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*n**2 - 4*n**2 - n**2 as z*n**2 + d*n + k and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12626160 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 25 = -2*w - 152, f + w - 34 = 0. Suppose 3*d - 324 = -3*t, -6*t + 292 = 3*d - 11*t. Calculate the greatest common factor of f and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181074?\nAnswer: 2, 3, 103, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/6 (b) 1\/7 (c) -0.123 (d) 84 (e) -1\/9 (f) -2 (g) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15, 17, 19, 21?\n\"Answer: 2*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*((-25)\/(-15))\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2333134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-6) - (-9)\/2. Suppose -c - 3*k - 21 = -4*c, 5*c + 5*k = s. What is the derivative of -4*t + c*t - 1 + 2*t**4 - 2 wrt t?\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 8*q**2 - 8*q + 8. Let a be t(-5). Let s = -22 - a. Suppose s*n - 38 = 4*n. Calculate the smallest common multiple of n and 4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/25 + 87364902*r\/25.\nAnswer: 2*r*(r + 43682451)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 28\/3 of a minute?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 92364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.2 * -4.\nAnswer: -64.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -877*a**2 - 12*a - 1234. Let f(q) = 870*q**2 + 10*q + 1233. Let y(x) = 6*f(x) + 5*m(x). Differentiate y(d) with respect to d.\nAnswer: 1670*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 37*v**2 + 62*v - 64. Calculate m(6).\nAnswer: 1640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**3 - 5 - 6*q**2 + 11 + 4*q**2 to p*q + d*q**3 + i + j*q**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18969 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 509 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 614, 1389, 2474?\nAnswer: 3869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8197 is divided by 1638?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 1080*t + 231. Is n(17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 3*b**4\/4 + b**3\/3 + 20*b**2. What are the prime factors of s(6)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -l - 10, -2 - 2 = -l + 4*r. Let p be -3*(48\/9)\/l. Suppose p*a + 18 = 6*a. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-10)\/200*(-2)\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -1007.\nAnswer: -100.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 3\/20 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30, 63, 98, 135?\n\"Answer: b**2 + 30*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -6) + -1 + 233 + -236?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*g + 13 - 3, -3*g + 5*n + 23 = 0. Let h be 0 + 228\/(-113) - -2. Let j = -97\/904 + h. Which is smaller: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*8344.\nAnswer: 250320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 26028 and 0.45348436.\nAnswer: 26028.45348436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4333 and 266137193.\nAnswer: 4333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(5\/7)\/((-132)\/154).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137337812 to the nearest integer?\nAnswer: 11719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9636 or -9743?\nAnswer: -9636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678649.\nAnswer: 678649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*k + 57 = k, k = -5*j - 78. Suppose 2*b = 5*i + 10, b - 4*b + 4*i = -15. Let x be (j\/(-6))\/b*12. What is the highest common factor of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205 a factor of 198186383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 19514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-876)\/(-160))\/(2\/(-6756)). Let g = 18489 + b. Find the common denominator of g and 11\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 331 + -86. Suppose -235*q = -h*q + 2190. Is q a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from fdhgscf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18*(0\/2 + 4). Suppose -2*l + 2*o - 7 + 57 = 0, -3*l + 2*o = -h. What is the remainder when 15 is divided by 92\/l + 40\/(-220)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + -46. Let y(w) = w**3 + 4*w**2 + w - 1. Let q(z) = -z**2 + 117*z**3 - 30*z**3 - 88*z**3. Give p*q(b) - y(b).\nAnswer: 3*b**3 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42.2 + 44.2. Let i be (2\/4)\/(2\/(-16)). Which is the third biggest value? (a) i (b) p (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v - 2. Let f = 403 + -394. Let m(r) = -r**2 + 12*r - 23. Let k be m(f). Let l(w) = 5*w - 2. What is k*n(t) - 5*l(t)?\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 2:08 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -15*c**3 + 10*c**2 + 4*c - 96. Let t(o) = 2*o**3 + o + 3. Let d(s) = m(s) + 8*t(s). Factor d(n).\nAnswer: (n - 2)*(n + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 6*n + 1. Let y = -71 + n. Let x be (1\/(-3))\/(3\/y). Solve p - x = -3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.3 + -7.30000346. What is g rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53.1 + -57. Let k = i + 3.6. Sort 1\/5, 4, k.\nAnswer: k, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*q**2 - 5282588*q + 6163052 = 0. What is q?\nAnswer: -220109, 7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5896829 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 10*v - 2. Let o be k(12). Let d = 46 + o. Suppose -2*g + 43 = -117. Calculate the greatest common factor of g and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.23 and -1.5?\nAnswer: 3.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-5106)\/6)\/37).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23803*s + 81967*s + 96060*s.\nAnswer: 201830*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46650 = -4*v + 2*v. Let p = 1119559\/48 - v. Let r = -58339\/15 - -3895. What is the common denominator of r and p?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4922885 to the power of 1\/2, to the nearest integer?\nAnswer: 2219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8763 + 131447\/15. Determine s so that 0 - u*s**2 + 0*s = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(114) + sqrt(114) + -2*sqrt(114)))\/((sqrt(6) - (sqrt(6) - sqrt(54)))*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 371.99 + -374. Let m = t - -0.01. Let y = -5 - -5.3. Sort m, 2, y in ascending order.\nAnswer: m, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 + 2 - (2 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-45)\/(-20)) - (-70)\/16?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 4. Let x be f(-3). Let g = 46 + -42. Suppose 4*z + 28 = -4*b, 3*b + g = -2*z - 14. Sort 5, x, b in descending order.\nAnswer: 5, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z**2 + 35*z + 1. Determine d(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, c: 1, a: 1, b: 5, m: 5, r: 1}. Give prob of picking 1 r, 1 a, and 1 b.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvlv when four letters picked without replacement from {v: 5, j: 8, l: 3}?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -12*u + 1. Let b be o(-10). Suppose 0 = -5*g + b - 41. What is the greatest common divisor of g and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(833) - (-4*sqrt(833)*2 + sqrt(833)))*-2 - (sqrt(833) + -1 + 3 + -4*(-2 + sqrt(833) - sqrt(833))))**2*6.\nAnswer: 14280*sqrt(17) + 1445022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -4, -1\/236?\nAnswer: -1\/236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 s when four letters picked without replacement from {s: 2, i: 4, r: 8}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - 30*q - 3*q)*(-q + 2*q - 3*q)*(-2*q - 6*q + 3*q) as p*q + r*q**2 + f + h*q**3 and give h.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49605 + 104542. What is the ten thousands digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -50, -4, -2 in decreasing order.\nAnswer: -1, -2, -4, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11442865)\/70*2*4\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3}. Give prob of picking 3 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 9. Let f(w) = 1 + 2*w - 4 + 14*w**3 + 14*w**3 + 2. What is the tens digit of f(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from qqjjzffffjfjyjjqf?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**6\/5 - y**5\/60 + y**3\/6 - 8*y**2. Let o(m) = -m**2. Let u(c) = -f(c) + o(c). Differentiate u(b) with respect to b.\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 18*d + 60*d - 75*d - 75*d to the form y*d + b and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**5 + 3*y**5 - 12*y**5 + (-3*y**3 + 5*y**3 + 2*y**3)*(-y**2 + y**2 + 2*y**2).\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 814*d - 6 = 813*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 171774598 a multiple of 4582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -2\/17 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 403 - 400. Let k(b) = b**3 + b**2 - 7*b - 3. Let c be k(a). Solve 0 = -c*w + 13*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 12*u**2 - 9*u - 27. What is h(13)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-298)\/6 + 1)*(-42)\/28. Let u = y + -52. What is the remainder when 37 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 4 + 4)*(-2*a - 2*a + 6*a) + 0*a + 0*a - 4*a**2 + 26 + 2*a**2 - 26.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 166 and 128069.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 != 392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.551 - 0.051. Let q = 358 + -372. What is the closest to q in 0.1, j, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 2*o**2 - 115*o + 1030. Give n(9).\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22103, 44140, 66075, 87908, 109639, 131268, 152795?\nAnswer: 174220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, w: 1, f: 1, c: 2, i: 2}. Give prob of sequence fci.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21 - -27)\/((-4)\/1))\/(3\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -0.0753493?\nAnswer: -0.0753493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -2645459\/6 and -440909 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-48)\/4)\/6)\/(-12)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -439716 (base 12) in base 3?\nAnswer: -2000120102000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 2*h**5\/55 + 19*h**4\/66 - 58*h - 78. Let v(k) be the first derivative of l(k). Factor v(w).\nAnswer: 2*w**2*(4*w + 19)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 + 2*j**2 + 3*j - 7. Let x(i) be the second derivative of 3*i**5\/20 - i**4\/6 - i**3\/2 + 4*i**2 + 768*i. What is -5*q(k) - 4*x(k)?\nAnswer: -2*k**3 - 2*k**2 - 3*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253455.2t to grams.\nAnswer: 253455200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3091 - -3090. Which is the nearest to 2? (a) q (b) 1 (c) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 398 - 395. Let c(z) be the first derivative of 3\/10*z**4 - 5 + 0*z + 0*z**2 + 2\/15*z**y. Solve c(m) = 0 for m.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 73*z**2 - 108*z + 16. Let f(p) = 37*p**2 - 55*p + 7. Let v(a) = 7*f(a) - 3*q(a). What are the prime factors of v(4)?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -10*(-4)\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = f - 274, -f = 5*c + 126 + 344. Let s be (c\/(-9))\/((-2)\/(-12)). Suppose s = 2*q - 3*y - 20, -78 = -2*q + 2*y. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 4*l + 20 - 10.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-4))\/(27\/72). Suppose s - 2*j - 1 = -8, -1 = -5*s + j. What is the highest common factor of s and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477814070 to the power of 1\/2, to the nearest integer?\nAnswer: 38442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014884 rounded to 4 dps?\nAnswer: 0.0149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.2 (b) 1\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**5\/30 - 5*q**4\/24 - q**2. Let s(i) = -i. Let d = 304 - 301. Give d*s(l) - z(l).\nAnswer: 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 + x**3 + 3 - x + 4*x**2 - 4*x**2. Let p be o(0). Let k be -389991 + -12 + (p - 0). Round k to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/7 - (768\/(-42))\/32?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001741010466 rounded to seven decimal places?\nAnswer: 0.001741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/13855 + -87112\/27585305. Let v = j + 55838\/29865. Find the common denominator of 14\/15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/1734 and -35\/816.\nAnswer: 13872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - 4. Suppose 0 = -4*z - b + 178. Suppose 2*p - p = z. Is 22 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421 is divided by 61?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 + ((-24)\/6 - 11 - (-24 + 10))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7875 is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -107 + -1?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -340 + 112 + 117 + 111 - 3*a**2. Let r(q) = 3*q - 2*q - 2*q. Determine r(h(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 397 - 136. What is the remainder when m is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 948.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.34979728 to 4 dps.\nAnswer: 0.3498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**5 + 67*p**4\/3 + 54*p**3 - 253*p**2\/3 + 26*p = 0.\nAnswer: -3, 0, 1\/2, 2\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 1:31 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1435.9 - -1432.9. Let w = -0.04 + 0.08. Which is the nearest to -1\/5? (a) m (b) w (c) -2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, -4, -70, -2, 570 in decreasing order.\nAnswer: 570, 4, -2, -4, -7, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567 is divided by 165.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -1\/8 (c) 0.4 (d) -3278.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 17.6. Let t = l - -9.4. What is the second biggest value in -0.2, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(810))\/sqrt(2).\nAnswer: -36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 12:11 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 895802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4712287416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 - 4*d + 3. Let v be i(-6). Suppose 0 = 5*x - v - 205. Suppose x = 4*y - 48. What are the prime factors of y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*2 - (-1 + -10). Let d be (6\/4)\/(m\/84). Let i be d\/5 + (-1)\/(-5). Solve -i*f + 20 = -8*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 446131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + v**2 - 8*v - 4 - 4*v + 11*v in the form l*v**2 + k + m*v and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2645 + 2649. Let h be 0*(4\/2 + -1). What is the second derivative of h*i + 15*i - 43*i + i**b wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z + 7. Let d(f) = -12*f - 29. Let m(c) = -6*d(c) - 26*n(c). Let o be m(-8). Suppose -4*v = -5*v + o. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from {i: 5, p: 1, o: 2, a: 1, v: 7}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 141680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 2. Let y be h(-2). Suppose 2*o = 3*z + 10, 0*o + 2 = 2*o - z. Let g(i) = -i**3 + i**2 + 8*i + 6. Let u be g(-2). Sort o, u, y.\nAnswer: o, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1470872 plus -103?\nAnswer: -1470975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 9*f**2 - 10*f + 1. What is the least common multiple of 7 and x(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123ea (base 16) to base 11\nAnswer: 51167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -428893 + 428893. Suppose 8\/3 + o*h - 2\/3*h**2 = 0. What is h?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 3)*(2 + 3 - 1)*(0*f**3 - f**3 + 7*f**3)*(3 - 2*f - 3).\nAnswer: 96*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 3*h + 17 = 15, 4*h + 4 = 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*v + 33*v - 774 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = z - 3*i, -3*i = 6*z - z - 4. Let v = 3 - 4. Let u be v\/((1 + -3)\/2). Which is the nearest to z? (a) -2\/17 (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -2*w**7\/21 - 4*w**6\/15 + 3*w**5\/5 + 8*w**4\/3 + 8*w**3\/3 - 2*w. Determine p so that i(p) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-15558922.\nAnswer: 9335353.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 581*y + 578*y + 590*y - 2311*y + 575*y.\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 3*i**2 + 4. Let h = -6399 - -6396. What is n(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63 + 63 + 31*j to the form p + h*j and give h.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 113 - 295 = -m, 0 = m - 4. What is the greatest common factor of c and 1313?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -4, -0.2, -50, -3, 3, 6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32024314 - -14113?\nAnswer: 32043432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186745, -373544, -560399, -747316, -934301, -1121360, -1308499, -1495724?\nAnswer: -1683041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b - 29. Give r(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 3)*((4*z - z - 2*z)*(z - 4*z + z) - 4*z**2 - 6*z**2 + 0*z**2 - z + (-1 + 1 + z)*(z - 2*z + 3*z) - 2*z**2 + z**2 + 0*z**2 + 2 - 2 - 3*z**2).\nAnswer: 56*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 408 - 108. Let l = a - -100. Suppose -5*z = -z - l. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 186*v - 189.\nAnswer: 3*(v - 1)*(v + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84349, -8, 0, -1, -2 in increasing order.\nAnswer: -8, -2, -1, 0, 84349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -47. Let o(v) = 6*v - 14. Let n be o(6). What is the greatest common factor of c and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u = 9*u + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2165 times -0.03\nAnswer: 64.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.4 - -2.1. Let d = 2.7 - z. Let j be (-4 - -3) + 0 + 0. Which is the closest to 0.1? (a) d (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 23 = -8. Let k = 1 - o. Solve 0*n + k = 4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -4*p**5 - 1924*p**4 - 228404*p**3 - 1533980*p**2 - 3243144*p - 1935648 = 0.\nAnswer: -286, -188, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -67*d**6\/15 - 175*d**2 - 45*d - 2. Differentiate x(m) wrt m.\nAnswer: -536*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(7) + sqrt(7) + 4 + 2*sqrt(49)\/sqrt(7) - (4 + -5*((1 + sqrt(7))*1)**2).\nAnswer: 14*sqrt(7) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2723*n**3\/5 + 57182*n**2\/5 - 54439*n\/5 - 4 = 0.\nAnswer: -1\/2723, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*v - 14*v - 12. Suppose 2*h = u + 269, -677 = -4*h - h - v*u. Suppose 14*q - 47 = h. Calculate the remainder when 23 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from {d: 1, m: 3, p: 2, j: 5, v: 6}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -11*y**2 + y + 2. Let a = 14 - 10. Let q be t(a). Let x = 8 - q. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 867576.\nAnswer: 6073032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, g: 1, w: 2, f: 10}. What is prob of sequence wfw?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*k - 5*y, 7*k + y - 5 = 2*k. Let l = k + -2\/11. Let x = 0.474 - 0.374. Which is the second biggest value? (a) 0 (b) x (c) -20 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/3*(-438)\/4. Let n be w + 1\/(-1)*2. Let p = 12471 - 12455. What is the greatest common factor of p and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71825406 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 321? (a) -0.2 (b) 3\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-154)\/(-55) - (-2)\/10. Suppose 2*q = -q - 2*n + 64, -k*n = -5*q + 94. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -2*i**4\/3 + 68*i**2. Let d(k) = 11*k. Calculate v(d(g)).\nAnswer: -176*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -7, 0.5, 38, -3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = 213*g - 368 - 433. Solve -2*u = 4*h + 4, -3*h - 2*u + g = u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f - 22*b = -19*b + 5, -4*f + 73 = -5*b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*y**4 + (1 + y**4 - 1)*(-6 + 2 + 3) + 0*y**4 - 2*y**4 - 36*y**3 + 30*y**3.\nAnswer: -y**4 - 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 + 1012*k**2 - 320470*k + 3400056.\nAnswer: 2*(k - 212)*(k - 11)*(k + 729)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and -126.\nAnswer: -3.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b**3 - 260*b**2 - 1847*b - 96031. Calculate y(-52).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/2488122 and -37\/2002?\nAnswer: 27369342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-3)*p)\/p*p\/p**22)\/(p**(2\/25)*p**(-6)) assuming p is positive.\nAnswer: p**(-427\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2453413785715.99829 - -2453450555557. Let d = 36770037 - t. Let j = d - 196. What is j rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, m: 9}. Give prob of picking 1 f and 1 m.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/144)\/(2\/(-27)). Let h = -20.49 + 20.5. Which is the smallest value? (a) w (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 463544811?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1595*m**4 + 24*m**3 + 41*m**2 - 2*m - 38436769?\nAnswer: 19140*m**2 + 144*m + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**6\/120 - s**5\/12 + s**4\/6 - 5*s**3\/6 - 4*s**2. List the prime factors of n(5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.06858106 and -13766727.\nAnswer: -13766727.06858106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/7*14\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 2*f - 1. Let p be s(2). Let j be (-9)\/30*(-9 + p). Put -3, 15, j, 0 in descending order.\nAnswer: 15, j, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16530026 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 117*z**2 - 2*z - 2. Let t be y(-1). Suppose -a + t = -4*a. Let l be (-72)\/39 - (-6)\/a. What is the closest to 0 in 0.3, l, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264 = -4890*o + 4866*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1146990 to the nearest 10000.\nAnswer: 1150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/27*-3*1. Let s be (2680\/(-96))\/(-67)*(-3)\/5. What is the fourth biggest value in 3, j, s, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3074074\/5 or -614816?\nAnswer: -614816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 61389 = v, m - 2*v = 30144 + 31260. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/4*1476\/(-30) - 0. Let u = x - 121. What is the third derivative of -532*f**u - 3 + 493*f**2 + 3 - 22*f**5 wrt f?\nAnswer: -1320*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26, -143, -446, -1025, -1970, -3371, -5318?\n\"Answer: -15*q**3 - 3*q**2 - 3*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4 = -5*t, -3*t - 7 = -5*s + 1. Let q be ((-4)\/2 - -1)\/(s\/(-9)). Solve q = -4*v - 11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 + 2040*z - 29 + 59 as y + m*z and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l = -11*l + 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (660\/(-45))\/(8\/(-6)) - -4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by -4.\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2018 - 16*f + 2*f + 21*f - 2*f in the form a*f + z and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - v + 19. Let y = 3 - 3. Let j be b(y). Suppose j - 3 = 4*x. Solve u = -u + x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.7086 rounded to one dp?\nAnswer: -41.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -5*y**3\/3 + 30*y**2 + 425*y + 5707. Factor d(t).\nAnswer: -5*(t - 17)*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + sqrt(11) + -2)*-6 + (sqrt(77) - -4*(sqrt(77) + sqrt(77)*2 + sqrt(77) + sqrt(77)))\/sqrt(7).\nAnswer: -9*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**3 - 4*i**2 - 10*i + 7. What are the prime factors of w(6)?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2046 and 3410?\nAnswer: 10230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27720)\/(-5390)*(-70)\/(-40)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/7))**(-1)\/(b*(b*b\/b**(-3\/7)*b)\/b)**(-45))**(-7) assuming b is positive.\nAnswer: b**(-1078)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03 - -0.33. Let s = -9.1698 - 0.0352. Let u = s + 0.205. Sort u, -0.3, q, -1 in decreasing order.\nAnswer: q, -0.3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 49 = -2*s, -3*s - s + 133 = -z. Let p = 47 - 30. Calculate the remainder when s is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10070.2 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 3:29 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9447 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: Round -9.437297241 to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53 in 3, -0.1, 4, -83, -1\/6?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1816 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmt. What is prob of sequence tbm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 1507 (c) 0.006\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (7 + -2 + -5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12664649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280 = -107*s + 1350 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 34*s + 464. Let z be d(-11). Calculate the highest common divisor of 330 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h + 3*h - 3*h)*(-4065 + 2503 - 2097 - 8284 - 3695 + 966).\nAnswer: -88032*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 + 11*t.\nAnswer: t*(t + 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(605) + 4 + sqrt(605) - ((sqrt(605) + (sqrt(605) + 0 + sqrt(605) + -5)**2 - sqrt(605)) + sqrt(605) - sqrt(605))) + -3 + -5.\nAnswer: -2453 + 242*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 1\/60*n**6 - n**2 + 0*n**5 + 0*n + 0 + 5\/6*n**3 - 1\/8*n**4. Is h(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -380327\nAnswer: -380327.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9573 - 9582. Let u(y) be the first derivative of -y**2 - 10*y + 1. Give u(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -2\/17 (c) 3\/227 (d) -2\/15 (e) -2\/9 (f) -0.7 (g) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-3)*-9*7\/(91\/(-42146))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 46.97. Which is smaller: g or -0.01?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -769*o - 22267. What is b(-29)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*q - 163 - 15, -3*x - 2*q + 110 = 0. Suppose 4*d - 8 = x. Calculate the highest common divisor of d and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 217.02 + -213. Let w = k + -4. Let y = w - -0.08. Which is the second biggest value? (a) y (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -29. Let k = 65 + -37. What is the greatest common factor of k and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175662829 to the nearest integer?\nAnswer: 13254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**3\/2 - 417*m**2 + 11313*m\/2 - 5238 = 0.\nAnswer: -291, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6339812028?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*y + 926 + 56 = 134 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1367, 4, -1 in decreasing order.\nAnswer: 4, 0.1367, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 796200014 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 361701*c**2 - 723410*c**2 + 361698*c**2.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1105 + 2541?\nAnswer: 3646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*1.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 11:11 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8230.\nAnswer: 2, 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from svvsssvvysyyss.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - x + 13 = 0, -24*i - x - 11 = -28*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 8 - 0. Let y = -3\/2 + w. Which is greater: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -33208, -33205, -33202, -33199?\n\"Answer: 3*c - 33211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/6)\/((-1)\/(-36)). Let g be (-6552)\/(-224) - 9\/(-12). What is the highest common factor of f and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -26\/115?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/774 and 5\/9.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1192 - 2952 = -5*u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -89, -178, -267, -356?\n\"Answer: -89*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168 by 168.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -14105.\nAnswer: -1\/2821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -0.2 (c) 1\/7 (d) -1 (e) 2\/69\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1029*l**2 - 1023*l**2 + 4 + 2038*l**2 - 4.\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3241161*p**6 - 512174*p**2 wrt p?\nAnswer: -388939320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1193 in 2.23, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-144)*12*-3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n**3 + 3*n**2 - 3. Let w(z) = 4*z**3 - 2*z**2 + z + 2. Give 2*r(q) + 3*w(q).\nAnswer: 2*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 5:24 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 12. Suppose w + 1 + 2 = b, 3*w = -b - g. Suppose 17 + 1 = b*s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6*(-1032)\/86. Put -2, 22, o, -11 in increasing order.\nAnswer: -11, -2, o, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2524 (b) -149 (c) -29 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 2, h: 1, i: 1}. Give prob of picking 1 x and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 24) + 747 + -685.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 5355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40 - 5*k**5 + 26 - 109 + 43 - 151*k**2 wrt k?\nAnswer: -300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2576 + 2?\nAnswer: -2574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12 - 1\/2*0\/4. What is the first derivative of -47 + 16*k + s*k - 7*k wrt k?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-22)*-7*(-3 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111 - -111?\nAnswer: 1010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 37*v**6\/6 + 3*v**5\/20 + v**4\/3 + 695*v**3\/2 + 10*v + 111. Find the second derivative of s(j) wrt j.\nAnswer: 2220*j**2 + 18*j + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -765.739 + 5.08\nAnswer: -760.659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*sqrt(931) - sqrt(931))**2 - sqrt(931)) + (0 + (sqrt(304) + sqrt(19))*-3)**2.\nAnswer: -14*sqrt(19) + 11723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 841 and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z + 6*z + 0*z)*(-5*z + 4*z + 0*z)*(-3*z + 3*z - z)*(-2*z - 1 + 1).\nAnswer: -26*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 4*q - 8*q + m, 6*q = q + 121*m - 161 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 20781 and 0.2?\nAnswer: 20780.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - 7. Let x = -13 - q. Let o = 11 - x. What is the biggest value in -0.3, o, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -13 + 0*v**2 - v**3 + 2*v - 2*v**2 + 10. Let x be j(-3). Suppose 5*h + 34 - 9 = x. Put h, 4, 3 in descending order.\nAnswer: 4, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, i: 3, d: 7}. Give prob of picking 1 s and 3 i.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7840 and -4?\nAnswer: 31360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/7)*m*m**(-25))**26 assuming m is positive.\nAnswer: m**(-4290\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + h**3 + h**3)*(5*h**2 - 6*h**2 + 14*h**2 + (0*h + 3*h - 2*h)*(1 + 3*h - 1)).\nAnswer: 48*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.3 - -44418813809.\nAnswer: 44418813812.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z. Let v(d) = 35*d**2 - 3*d - 1. Let m(n) = -5*n - 18*n - 69*n**2 + 28*n + 2. Let g(b) = 3*m(b) + 5*v(b). Determine g(u(y)).\nAnswer: -128*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9309 + 74379\/8. Find the common denominator of j and -65\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -2*q - 5*b, -4*q + 29 = -5*b - 191. Let a be (18\/q)\/(12\/(-10)). Sort a, -4, 2 in ascending order.\nAnswer: -4, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, -0.3, -4, 1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 156?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153708?\nAnswer: 2, 3, 12809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/1 + 23)*-1. Let u = 41 + n. Suppose 142*d + 2304 = 158*d. What is the greatest common factor of d and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-130)\/(-117) - 2\/(-3). Let y(i) be the first derivative of -t*i**3 - 5\/4*i**4 - 1 + 1\/6*i**2 + 2\/3*i. Factor y(l).\nAnswer: -(l + 1)*(3*l - 1)*(5*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 556*q - 498*q + p - 61 - 47, -6 = q + p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 - 12*c + 21. Give x(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7*z - 2. Let q(v) = -2*v**2 - 18*v + 2. Let w be q(-9). Let l be ((-2)\/4)\/(w\/4). Let p be r(l). Solve 4 = -p*f + 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004663559 rounded to seven dps?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -30, -44, -60?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g**3 - 6*g**2 - 4*g + 120. Let u(o) = 16*o**3 + 21*o**2 + 14*o - 362. Calculate 7*m(j) + 2*u(j).\nAnswer: -3*j**3 + 116","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 465181 and 901.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -3\/61, -4, -2, 4?\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 - 33*d**2 + 13*d - 37. Give c(-17).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84 + 88. Suppose -2*x - 9399990 = m, z*m + 0*x = -4*x - 37599980. Round m to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419112 is divided by 175?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 - 6*k**2 + 7*k**2 + 2*k + (k + 0*k + k)*(6*k - 28*k - 8*k).\nAnswer: -58*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 46, 2\/213, 1\/4, 0 in increasing order.\nAnswer: -3, 0, 2\/213, 1\/4, 1, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 4)*(-635 - 516 + 729)*(-3 + 2 + 0)*(-2*w**4 + 4*w**4 + w**4).\nAnswer: 3798*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1360574957?\nAnswer: 7, 17, 11433403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -13*p. Let m(h) = -2*h + 6. Let r be m(4). Let c be 3\/r + 3\/6. What are the prime factors of o(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6653 - 4230. List the prime factors of y.\nAnswer: 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 434\/(-70) + (3 - -3). Suppose 0 = -0*s - 2*s + 8. Suppose 0*f = -s*f. Is m at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 2*v**2 + 1\/3*v**3 + 0*v + 5\/24*v**4 + 0. What are the prime factors of o(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 3*p + 13. Let s be d(5). Suppose 4*k = -s*h + 109, 0*h - 4*k - 46 = -2*h. List the prime factors of h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -5729984347909.\nAnswer: -5729984347911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -2 - 1\/24*x**4 + 0*x - 10*x**2 + 0*x**3. Let r(a) = -a - 8. Let h be r(-4). Give v(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3900\/(-156) - (-69)\/(-3)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 204619561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*v**5\/7 - 255*v**4\/7 - 120*v**3 - 825*v**2\/7 - 234*v\/7 = 0. Calculate v.\nAnswer: -39, -2, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -27?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27790.\nAnswer: 2, 5, 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -90428*u + 390. List the prime factors of t(-1).\nAnswer: 2, 7, 13, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 28*s**2 - 10*s - 9. Let p(y) = 3*y**3 + 78*y**2 + 30*y + 26. Let q(a) = -17*o(a) - 6*p(a). Let c be 1*-3*(-105)\/45. Determine q(c).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8404 in -2, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43910, 44441, 44966, 45485, 45998?\nAnswer: 46505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3089 - -3036.5. Let v = 0.076 + -52.076. Let q = y - v. Sort 14, 0, q in increasing order.\nAnswer: q, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 12:45 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 - 1. Let h = 0.603 + -0.103. Which is the biggest value? (a) 2 (b) h (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48629.\nAnswer: 7, 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20424002399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -732 - -1012. Let d = i - 93. What is the remainder when d is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 308*b**2 + 34 + 37 - 18.\nAnswer: 308*b**2 + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -5*d**4\/12 - d**3\/6 - d**2. Let j be (0\/3 - (3 - 3)) + -1. What is h(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2*x + 195 + 227, -89 = c + 5*x. Let a = c + 143. Calculate the remainder when 66 is divided by a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2 - 18 = 0. Suppose h = g - 3. What is the lowest common multiple of g and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 28295196180.\nAnswer: 28295196179.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 6*u. Let t be w(-14). Factor -11*y**4 - 1067*y**4 + 102*y**5 + 848*y**2 + t*y**3 + 304*y + 32 + 241*y**5.\nAnswer: (y - 2)**2*(7*y + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i + 12 = 2*p + 5*i + 14*i, p + 10*i = -58 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (160\/70)\/((-30)\/546 - (-39)\/(-169))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (9 - (-5 - -8))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**2 + l. Let v be p(1). Let u = -3 + v. Let i be (-2)\/(-8) - 47\/(-4). Solve -u*z = i - 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -18. Let d = 5 + h. Solve -4*c - d = -5*f, c - 3*c + f - 1 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6011 < -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -457 and -0.2?\nAnswer: 91.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 699636.8ml in litres?\nAnswer: 699.6368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 1. Suppose -8 - 3 = 5*l + 2*q, 2*q - 4 = 0. Let g(d) = -d**3 - 4*d**2 - 2*d + 2. Let u be g(l). Let h(x) = -5*x**2 + 2. Give u*h(i) - 4*b(i).\nAnswer: i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 38*n - 44. Let s be j(39). Let y(i) = i**2 + 6*i + 6. Give y(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + v + 5. Is f(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*o = 3*g - 25, 5 = 4*g + o. Let i be 9 + (-4)\/(16\/20). Let f be (-2)\/7 + (-2)\/(-7). Solve f = g*q - 0*q + i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 27*w - w**3 - 8 - 13*w**2 - 11 - 16 + 12. Let p(s) = -5*s**3 - 53*s**2 + 106*s - 93. Let m(t) = -18*f(t) + 4*p(t). Factor m(a).\nAnswer: -2*(a - 7)*(a - 3)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2081333 and -0.07.\nAnswer: 145693.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -19. Let s(u) = 1. Let t(v) = v**2 - 2. Let b(q) = -2*s(q) + t(q). Let g be b(i). Solve 0 = 4*p - 2*n + 2 + 8, 3*p = 2*n - g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 13460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 21*i - 33. What is d(-23)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -5 = -92\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 25 + 9 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -22341*o - 203. Let f be x(17). Round f to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14574 and 14?\nAnswer: 14574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 5*r - 5*r)*(-6042 + 6042 - 62*r) + (-1 + 1 - 2*r)*(-3*r - 3*r + 4*r).\nAnswer: -182*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007259549 to 5 dps.\nAnswer: -0.00726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 13*t**2 + 257*t - 14. Determine f(11).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1393*m**3 + 9*m + 149 wrt m?\nAnswer: 8358*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -30*v**3 - 6*v**2 + 6*v - 6. Let l(u) = -29*u**3 + u**2 - 3 - 2 - 6*u**2 + 5*u + 0. Let r(a) = 4*k(a) - 5*l(a). List the prime factors of r(1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 140090 to the nearest 1000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 146783?\nAnswer: 733915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 8\/265975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 3:46 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 428*f**2 - 869*f**2 + 434*f**2)*(5 + 4 - f - 14) as y*f**2 + x + r*f + s*f**3 and give y.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23696444 divided by -1.\nAnswer: -23696444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - r**3 - 3*r + 9*r**3 - 183713037 + 183713037 + 0*r**3.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 6:49 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-11*11\/(-484).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(2\/2)\/(-10). Let c be -2 - (-1 - (-34)\/(-38)). Let w = 4.99 + 0.01. What is the second biggest value in w, c, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -5*i - 4729149, -d - i = -6*d + 3940948. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -4)\/(0 - 2). Let z = -10 + 10. Is z >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17\/6 - 3\/36*-2. Let k = -0.012 + 0.112. Sort v, k, 5 in decreasing order.\nAnswer: 5, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 7*f**2 + 19*f - 17. Determine t(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.08 - 0.03. Suppose 23*w = 29*w - 204. Let i = 236\/7 - w. What is the closest to i in v, 2\/5, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*(168\/54)\/((-4)\/6). Suppose -23*p = -m*p. Solve p = 2*u - 3*u - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-72) + (-43)\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.232, -3, -1\/29, -10, 0 in decreasing order.\nAnswer: 1, 0.232, 0, -1\/29, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -19*m - 9. Calculate the remainder when n(-3) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 140346113 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*z**2 - 210*z**2 - 2 + 109*z**2 - z**3 to the form a + r*z + o*z**2 + j*z**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2301043 rounded to one decimal place?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 2*d = -840. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(4455) + 5*sqrt(4455))\/sqrt(5) - (5*sqrt(11)*3 + (-2*sqrt(88))\/sqrt(8)).\nAnswer: -67*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j + 3. Let h be z(4). Let o(r) = -r**2 - 7*r + 5. Suppose l + 7 = -0. Let q be o(l). Put q, -1, h in decreasing order.\nAnswer: q, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 10*b**2 + 11*b - 9. Determine g(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19898 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7385083 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 10:44 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104783 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 554, 544, 528, 506, 478, 444?\n\"Answer: -3*q**2 - q + 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*1*5*(-3)\/(-15). Suppose 330 + 780 = t*v. Is 37 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/6*-2 - -6. Let q(h) = h**3 - 8*h**2 + 9*h - 4. What is the remainder when 38 is divided by q(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618842499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, -2, 5, -1 in descending order.\nAnswer: 5, -1, -2, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36772\/2576 - 15 - (4 + (-198)\/42)?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Let t(j) = -3*j + 1 + 1 + z. What is t(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -9*b + 4. Let v(s) = 93*s - 7795. Let z be v(84). Let r(x) = -27*x + 11. Give z*q(p) - 6*r(p).\nAnswer: 9*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 96891371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*c - 2*c + 66, 4*s + c = 104. Let b = -13 + 26. Calculate the remainder when s is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -822 - -838. Calculate the greatest common divisor of 30 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 1711*r**3 + 1961*r**3 + 215*r**3.\nAnswer: 3887*r**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7.5 + 4219849645\nAnswer: 4219849652.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1396 + 1396.3. Suppose 0*m + 1 = -m. Which is the biggest value? (a) 0.1 (b) y (c) m (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 0*z + 5. Suppose 3*o + o + n = 11, 0 = 3*o + n - 7. Which is greater: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 + -78. Is y - (-2)\/((-2)\/(-2591)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s**2 + 158*s + 163. Give q(-20).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, i: 2, z: 1, a: 1, s: 2}. What is prob of sequence is?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2136*l - 9*l**3 + 2086*l - 4222*l.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 54\/10 + 2\/(-5). Let d(v) be the first derivative of -v**4\/4 + 2*v**3 - 3*v**2\/2 - 5. Is d(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322027.\nAnswer: 43, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*p = -80*p + 479 - 26. Is -679 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2814928*s**3*y**3 + 4*s**3*y**2 - 261868*s**3*y wrt y?\nAnswer: 16889568*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2936?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 18. Let l(x) be the third derivative of -3\/20*x**5 - 1\/4*x**4 - 1\/6*x**g + 2*x**2 + 0*x + 0. Find p, given that l(p) = 0.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*q**3 + 298*q**3 - 192*q**3.\nAnswer: -112*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -24, -54, -120, -234, -408, -654, -984?\nAnswer: -1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -12\/5*k + 2\/5*k**2 + 16\/5 = 0. Calculate k.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 2*k = -k - 15, -26 = 3*x - 4*k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1456\/84)\/(-13)*(-72198)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-two fifths of a milligram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**0))**(-25)\/(s*(s*s**0\/s)\/s)**(4\/15))**(2\/21) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 31900622*m**3 - 26 + 10.\nAnswer: -31900622*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + q - q)*(1 - 11*q**2 - 3*q**2 + 9*q**2) as l + z*q + h*q**3 + y*q**2 and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11100011100010010110 (base 2) to base 8\nAnswer: 3434226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8*2\/(-6))\/((-18)\/1539). Suppose 15*i - k = 12*i. Is 27 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/5*600\/48. Suppose -3*w + 109 = 37. Suppose -s - 5 = -2*r, 4*r - w = -3*s + 11. Solve 0 = -3*y + r*y - c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -201 in -1\/2, -5, 3\/14, -0.2, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**3 + 8*b**2 + 6*b - 14. Let i be 46\/(-16)*2 - (-11)\/(-44). Let v be f(i). Find the second derivative of -861*x - x**2 + v*x + 17*x**2 wrt x.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - (3 + -5))\/(-4). What is the biggest value in o, -0.5, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 148705731 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**3 + 15*f**3 - 28*f**3 - 26*f**3 + 1. Let h be b(-1). Suppose -i + 5*s = 6, -s = i - 6*i + h. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.67802 decades in months?\nAnswer: 4041.3624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*x + 5334 = 1894 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.4, -1\/5, 1, 1357, -16, 5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 12 + -1 - 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -3*f + 64 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256 (base 7) to base 14.\nAnswer: 9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 51264 divided by -2136\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 16, 5\/4, -13\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15537.\nAnswer: 3, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 555649, 554882, 554115, 553348, 552581?\nAnswer: 551814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**6\/720 - i**5\/60 + 13*i**4\/12 - 3*i. Let d(s) be the third derivative of f(s). Calculate d(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2598 and 42?\nAnswer: 18186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**2 - 90*d + 575 = 0 for d.\nAnswer: -23, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/15, 5.5, 2\/11?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 289706192*u**3 - 462711141*u**2 wrt u.\nAnswer: 1738237152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -12)\/1*3. Let s = 37 + y. Let g = s + -73. Calculate the highest common factor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 251410676 + 43.2.\nAnswer: 251410719.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**7\/g*g)\/g**(3\/4))\/((g\/(g*g**5*g))\/g**(-3\/8)))\/((g\/(g\/g**(1\/11))*g)\/g**(-8)*g**(-8)\/g**8) assuming g is positive.\nAnswer: g**(1653\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**4\/7 - 133044*n**3\/7 - 4*n**2 + 931332*n\/7 - 798264\/7 = 0?\nAnswer: -3, 1, 2, 33261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.107*0.233833\nAnswer: -0.025020131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 178101. Let f(g) = 10*g. Calculate f(n(q)).\nAnswer: -10*q + 1781010","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 346, 896, 1686, 2728?\nAnswer: 4034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**6\/120 + 7*y**5\/60 - y**4\/3 + 3*y**3\/2 - 4*y**2 - 5. Suppose 0 = l + 2*l - 6. Suppose -4*i + l*i + 12 = 0. What is v(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.7. Which is the nearest to 0.2? (a) 2 (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -5 (c) 2134\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31.084 + 31. Let u = 0.286 - n. Let j = 0.63 + u. Which is the second smallest value? (a) 0.3 (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h**2 - 11*h - 5. Let z(n) = 6*n**2 + 12*n + 5. Let u(p) = 7*d(p) + 6*z(p). What is u(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9585290413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-9) + (-2558)\/10. Let p = 743\/3 + c. Find the common denominator of p and 67*(0 - 1\/(-10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**2 + 75788*b - 717977618 = 0.\nAnswer: 18947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 232667 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004793497 rounded to 6 decimal places?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -667 - -832. What is the greatest common divisor of u and 440?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrprrrr. What is prob of sequence rrp?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6109164, -12218328, -18327490, -24436650, -30545808, -36654964, -42764118?\nAnswer: -48873270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(224\/(-20) + (-7)\/(-35))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162, -328, -494, -660, -826?\nAnswer: -992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3 + 0*x**2 - x**2 + 4 - 6 - x. Let o be 1*3*(-6)\/18. Let l(j) = -j**3 - 9 - 10 - 5*j - 6*j**2 + 26. What is o*l(q) + 5*r(q)?\nAnswer: q**3 + q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-1))\/(3\/(-9)). Suppose m*v - 25 - 17 = 0. Suppose 0 = b + 2, 5*b = 2*c + 2*b - v. Solve -d = -3*q - 12, -d + c*d - 20 = 5*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8022 - 147*u - 8022)*(7 - 11 + 12).\nAnswer: -1176*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0, 3\/196, -2\/3, -7, 2\/7, 76?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 24*y - 96. Let u be p(4). Suppose 12*b - 35 - 25 = u. Solve 0*o + 5*o = b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 14*l - 13. Let z be a(13). Let p(x) = -x**2 + x - 11. Give p(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffeefffphpefefff. What is prob of picking 1 p and 2 e?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/24 or -140355?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1531 - 251 = 64*a + 16*a for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -640 = -4*j + 2*s, 5*s + 9 = -j + 147. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72427 is divided by 8046?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 305*n - 441*n - 3 as z*n + p and give z.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*k - 2 = q, 0 = -k - 4*q + 19. Let g be (-31)\/(-1) + k - 3. Calculate the greatest common factor of g and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, p: 1, q: 1, s: 2}. Give prob of sequence pzs.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -10*j. Suppose 2*g = w - g + 2, 3*g = 3*w - 6. Let q(r) = -r**3 + 4*r**2 + 2*r - 5. Let i be q(w). Solve j = -h + i - 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*z = 15 - 11, 5*p - z = 1. Let m(g) = -21*g**3 + 0 - 1 - g**3 - 2*g + 2. Determine m(p).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 57\/2*k**2 + 0*k**4 - k - 97 + 0*k**5 + 19\/6*k**6 + 1\/3*k**3. What is the second derivative of z(f) wrt f?\nAnswer: 380*f**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.034 times 2.6?\nAnswer: -0.0884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15*((-3)\/(-9))\/((-1)\/(-3)). Solve 0*a + a = -5*q + c, -25 = 5*a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y. Let i(c) be the third derivative of -c**5\/20 - 28*c**2. Calculate m(i(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4*q = -q, 28 = -5*d - 2*q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -474703 and 0.52?\nAnswer: -246845.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8239809?\nAnswer: 3, 2746603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*r**3 - 359*r**2 - 364*r**2 + 1097*r**2 - 374*r**2.\nAnswer: 25*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -54*i. Let k(a) be the second derivative of -a**7\/1260 - 11*a**4\/12 + 9*a. Let x(o) be the third derivative of k(o). Determine b(x(n)).\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(306\/(-24)))\/(2\/(-3)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 10*q**2 + 14*q + 3. What are the prime factors of a(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.593 - 278.407. Let x = -282 - w. Which is the closest to 1? (a) -0.1 (b) -4\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 12941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 308 (c) 4 (d) -2\/3 (e) 21\/5 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 5*h**2 - 190*h + 960 = 0.\nAnswer: 6, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71621 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1040 and 6.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z + 48. Suppose 5*y - 402 = -22. Let o = y - 63. Is w(o) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/7 - 4089*g\/7 + 8166\/7.\nAnswer: 3*(g - 1361)*(g - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-621)\/117)\/2\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -0.074 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -284, -287, -292, -299, -308, -319?\n\"Answer: -b**2 - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26*60\/130*(-2)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 16380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10*-4)\/(-5))\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 107227 to the power of 1\/2, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-8)*((-104)\/(-6))\/(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wafaaafjwfs. What is prob of picking 1 w, 1 s, and 2 a?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -97*b**6\/24 + b**5\/60 + 188*b**3\/3 + b**2 - 303. What is the third derivative of j(r) wrt r?\nAnswer: -2910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -96*j + 3. Let v(l) = 97*l - 3. Let m(y) = 2*y - 1. Let h be m(-2). Let d(k) = h*v(k) - 6*i(k). Is d(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (17 + -25 - (-513)\/(-9))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 36 = -2*p, -3*u + 25 = p - 2. Let g be (0 - u)\/((-3)\/27). Suppose 0 = -q + g. Calculate the remainder when q is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/14*(-6 - 258\/(-36)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - 3*p**2 + 5*p**2)*(-11 + 11 + 6*p**2) - 5 - 2*p**4 + 5.\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d - 8*d - 5*t = 0, t = -2*d - 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 + 1.59. Let r = -1 + v. Let c = -1.8 - r. What is c rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a decade in years?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 at least as big as 276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 13*u + 5*u)*(4*u**2 + u**2 - 3*u**2).\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 39 - 39 - 5*p. Let h be (9\/9)\/(3\/6). Let v(a) = 44797 - a**h - 44797. Give v(f(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 29*v - 14. What is y(-1)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 + 163*u - 8. Let v(t) = 5*t**2 + 327*t - 14. What is -7*a(h) + 4*v(h)?\nAnswer: -h**2 + 167*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186477 + 382574 = 35*q - 28*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, y: 7, w: 9}. Give prob of sequence wqy.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/32 and -71\/44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1 + sqrt(891) + -3)*6*2)**2.\nAnswer: -10368*sqrt(11) + 130605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 41. Calculate the greatest common factor of i and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -379562 + -5.\nAnswer: -379567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**2 + 4*a + 46. Let i(k) = -k**2 + 1. Let o(g) = -6*i(g) + r(g). Calculate the remainder when o(5) is divided by 70.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -376 + -3?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-1 - 2) + (-29 - -16)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 29 = -w. Suppose -99 = -a - 5*y - 33, -a = y - 46. Let c = w + a. What is the smallest common multiple of c and 11?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/4)\/((-6)\/(-60)). Let o = -12 + n. Let z(u) = u**2 + 5*u - 2. Is z(o) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 10*q**3 + 14*q**2 - 135*q + 11. Let j(i) = 7*i**3 + 11*i**2 - 133*i + 10. Calculate -4*j(z) + 3*s(z).\nAnswer: 2*z**3 - 2*z**2 + 127*z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.8 + -23. Let z = y - -2.5. Which is the nearest to -2? (a) 4 (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-312)\/84*((-53)\/159)\/(2*(-4)\/(-48)).\nAnswer: 52\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1451 (b) 6\/7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-210)\/18*(0 + (-3)\/1). Solve -5*w - v = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95 + 160. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 12*d**2 - 16*d + 18. Let b be i(10). Suppose -2*o = 4*l - b, -o - 122*l + 117*l + 32 = 0. Solve -3*f + o = f - 5*u, 2*u = 5*f - 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0164 - 2.0164. Which is the closest to 4? (a) 4 (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -355 and 4333?\nAnswer: -1538215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 6:40 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**2. Let m be (-4)\/(-4)*(3 - 4). Let x(g) = 5*g**2 + g. Let v be x(m). Let y(o) = 2*o - v*o + 8*o. What is t(y(j))?\nAnswer: -108*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 71009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from {x: 11, t: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f + 13. Suppose -61*i - 12 = -65*i. Let b(h) = 9*h + 27. Let v(k) = i*b(k) - 7*r(k). Give v(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 + v**2 + 8*v - 11. Let r(w) = 3*w**3 + w**2 - 9*w + 10. Let f(a) = 3*r(a) + 4*s(a). Calculate f(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from {j: 4, t: 1, g: 1, e: 4, v: 3}?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f*w**3 + 87*f*w + 2*f + 7*w**3 - 9*w**2 - 4*w wrt w.\nAnswer: -6*f*w + 42*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 561730 and 2030?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, h: 4}. What is prob of sequence hh?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {f: 2, x: 1, j: 2, h: 2, v: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r + 29. Let u be h(16). Which is smaller: u or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194287764 divided by -15742.\nAnswer: -12342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 + 10*h + 94 + 52 + 0*h + 105 as q + t*h and give q.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2\/9)\/((-20)\/15*12\/((-624)\/(-494)))\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-94 + -19) - (32 + -13).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(-9)*q)\/q**(-2))\/(q*(q*q\/(q*q**(2\/15)))\/q*q**(-8)))**(5\/2))**(-1\/55) assuming q is positive.\nAnswer: q**(-17\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (73\/146)\/((-70)\/(-3920))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -12*x. Let o(r) = 6*r. What is q(o(g))?\nAnswer: -72*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s**3 - 4*s - 7 - 3*s**2 + 4 + 19*s**3 + 6*s. What is the remainder when d(2) is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2\/13 - 98*f\/13 + 1020\/13 = 0. What is f?\nAnswer: 15, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuou when four letters picked without replacement from yoruuyuyuuuuoouruu.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(6336) + sqrt(44))\/(sqrt(144)*-5).\nAnswer: -13*sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/8 + (-1)\/(-4). Let i be (3\/(-12)*36\/27)\/((-12)\/23796). Suppose 4*b = 5*s - l*s - i, -4*s - b = -512. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/25, 0.1, 0.9, 11 in decreasing order.\nAnswer: 11, 0.9, 0.1, -4\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-12))\/(22\/(-2894)). Let r = j - -131\/3. Suppose 4*k = -3*a - 11, -2*a + 7*a - 5*k = 5. Which is smaller: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/2223 and 25\/33?\nAnswer: 24453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1117 divided by -12.\nAnswer: 1117\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 20*s**2 - 15*s + 85. Let y be r(-19). What is the second derivative of -40*m**2 - 2*m**3 + y*m + 17*m**2 - 2*m - 6 wrt m?\nAnswer: -12*m - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tur when three letters picked without replacement from {u: 2, m: 2, t: 4, i: 1, r: 2, j: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3489*v**2 - 4 + 1165*v**2 + 1161*v**2 + 1167*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*u = 434*u + 246*u + 15552 for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkk. What is prob of picking 3 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 4*v**2 - v - 1. Let i(h) = -1 + 11*h**2 - 12*h**2 - 9*h + 8. Let p be i(-10). Give y(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 72 = 3*f. Let t = f + -12. Let i(y) = 2*y + 23. Let z(x) = -x - 11. Let s(a) = 4*i(a) + 9*z(a). Calculate s(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 59, 49, 29, -7, -65, -151, -271, -431?\n\"Answer: -v**3 + v**2 - 6*v + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2\/5 - 58592*f\/5 + 429127808\/5 = 0 for f.\nAnswer: 14648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 3762 + 597 = 0. Let p = 207 - u. What is the nearest to 0.1 in p, 4\/5, 3\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5326392 litres to millilitres.\nAnswer: 532.6392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 416.8 to the nearest 10.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77\/40 + 179\/120. Calculate the common denominator of i and 36\/180*(-710)\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 11) + -12 + -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1020942481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/2, -1\/3, -0.81 in decreasing order.\nAnswer: 9\/2, -1\/3, -0.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 21*c**2 + 2*c - 40. Suppose -3*f - 2*w + 73 = 0, 10*f - 89 = 6*f - w. Let s be a(f). Suppose -7*v = -2*v. Solve v = -2*q - s - 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 12*n**2 - 7*n. Let c be s(11). Let w = 206 + c. Solve w*g - g - 28 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/504 and 41\/4032.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -3 - (12 + -6) - (-16 + (-11 - -5))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540)\/sqrt(48))\/sqrt(9))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/(6\/45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - d - 1 = 0, 2*d + 3 = h - 5. Let x(t) be the first derivative of t**3\/3 + t**2 - t + 1. Let q(p) = -p - 1. What is h*q(w) + x(w)?\nAnswer: w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3364 = 4*r, 3*b - 5*r = 6*b - 2021. Suppose b - 34 = 2*i. Calculate the greatest common divisor of 58 and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 6, -1, -2 in increasing order.\nAnswer: -7, -2, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204 (base 10) to base 11.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 7*u**2 - 5*u + 9. Let d be x(-6). Let y = -34 - -36. Which is the closest to 0.1? (a) y (b) d (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 14*y + 7*y + 17*y + 6*y. Let k(q) = 972*q - 972*q - q**2. Give o(k(i)).\nAnswer: -44*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (17\/((-136)\/(-256)))\/((-2)\/(-3)). What is the greatest common factor of a and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 27*i. Let j(f) = -5*f. What is g(j(z))?\nAnswer: 25*z**2 + 135*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 399458044 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: Which is smaller: 1 or -69958?\nAnswer: -69958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**5 - 51*i**4 + 51*i**3 + 975*i**2 + 1896*i + 1020 = 0.\nAnswer: -17, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1) - (3 - -37). Let t be 2 + 1 + d\/13. Solve -2*y + 3*y = t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 10*x - 25. Let h be j(4). What is the tens digit of h\/(-25) - 13\/((-455)\/9016)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 4:02 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 16*p**2 - 18*p + 18. Suppose -4*n - 159 = 5*j - 0*j, -135 = 4*n - 3*j. Let d(w) = -w**2 + w - 1. Determine n*d(f) - 2*m(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -546 - -1184. Suppose 2*n = -5*z + 638, -3*z - a = -2*n - 0*n. What are the prime factors of n?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11907066 is divided by 2976750?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 383891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -216599.827 and 8271?\nAnswer: 224870.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 19 - 38 + 227*a**2.\nAnswer: 227*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7133224 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: Solve -63*a**5 - 444*a**4 - 792*a**3 + 96*a**2 + 720*a - 192 = 0.\nAnswer: -4, -2, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 5*u - 44. What is the remainder when 12 is divided by p(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13*(-30)\/(-1820))\/(22\/(-20) - (-5)\/5)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 10:19 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**7\/280 - s**6\/90 - s**3 + 1. Let c(n) be the third derivative of g(n). What is the third derivative of c(p) wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -0.4 (c) -2\/45 (d) -0.5 (e) -1\/5 (f) -5 (g) -5676\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 4*u, -5*c - u - 5 = -4*u. Let w = -108 + 96.6. Let t = w + 11.5. What is the closest to t in c, -7\/3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 17*c - 25. Let k(q) = -567*q - 2. List the prime factors of k(c).\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 1. Let b be 2 - (-1)\/(-2)*-4. Suppose -10 + 6 = b*w. What is r(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w - 10*w + 66*w**2 - 13*w - 3*w**3 + 41*w - 11*w + 2*w**4 to m*w**3 + h*w + z + d*w**4 + r*w**2 and give r.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 12*i**2. Let p(m) = -2283*m. What is a(p(b))?\nAnswer: 62545068*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k. Let s(a) = a. Let z(t) = 11*s(t) - 4*y(t). Let g(l) = -10*l. What is z(g(h))?\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4787, -4714, -4639, -4562, -4483?\nAnswer: -4402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 3:45 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 22 = -q. Suppose -3*k + 123 = q*p, -110 = -3*p + k + 21. List the prime factors of p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.4 - -56.6. Let n = l + -35. What is the second biggest value in 0.2, -4, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34.6 - -11.6. What is the smallest value in y, -1\/2, 7\/5, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12980 divided by 22?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2))**2*3 + sqrt(10)\/(sqrt(5)*-1).\nAnswer: -sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 > -24078\/2657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - (3 - 1\/1). Let h(b) = 2*b**2 + b + 2. Let c(w) = 3*w**2 + 2*w + 4. Let j(f) = -c(f) + 2*h(f). Is 2 a factor of j(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*n = 403*n + 3682 - 488950. Calculate the remainder when n is divided by 56.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48068 and 2684.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a\/(a*a*a\/a**36))*a*a))\/a**(-2))\/(a*a\/a**(-18)*a)**(-14) assuming a is positive.\nAnswer: a**328","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5*-1183.7\nAnswer: 5918.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -216*l - 7 - 63 + 217*l to the form u + m*l and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*c**2 + 243*c**2 + 142*c**2 - 29*c**2 + 28*c**4 wrt c?\nAnswer: 672*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (49\/(-35))\/(21\/(-5) - -4). Is (-4)\/(p\/(6629\/(-2))) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/8 + (-13)\/20. Let l be (-5 - 0)*(-14)\/5. Suppose 2*d - 5 = -5*x, -2*d + l - 4 = 0. Which is the smallest value? (a) x (b) r (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 4 - 2*q + q)*(-8 + 8 + 6*q).\nAnswer: -6*q**2 + 132*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -642*g = -645*g - 3*z, 3*g - z + 17 = -0*z + 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5*1332490\nAnswer: -6662450","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*g + 36 = 13, 0 = c + g - 11. Let j(q) = -q**3 + 13*q**2 + q - 10. Let s be j(c). Solve -m - s*m + 20 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145310 (base 6) to base 10.\nAnswer: -14154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-249)\/(-27) - 20\/90. Let j be (137\/3)\/(3\/y). Let s = j - 103. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -137, -131, -123, -113?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 27*(-5)\/15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11593 - 1738963\/150. What is the common denominator of l and (-1)\/(-4)*(-4 - 10)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 40*s - 72*s + 40*s. Is j(1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = 206 + 5 - 643 for i.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11347430 rounded to the nearest ten thousand?\nAnswer: -11350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + t - 16 = 72, -5*s = -4*t - 73. Let f be 403\/5 + (-4)\/(-10). Suppose 3*d - f - 15 = 0. What is the remainder when d is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 266432 + 1?\nAnswer: 266433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -112 and -106 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, 1\/2, 4263?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(448)*-5)*4 + -1 - (-1*sqrt(448)*-4 - (-2 + sqrt(448) + 3 + sqrt(448) + sqrt(448))))**2.\nAnswer: -1344*sqrt(7) + 197584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 - 67*j**2 + 553*j + 34. Let r be h(15). What is the fifth biggest value in -0.3, -8\/7, 1, r, -0.5?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 10\/1397, 5\/4 in descending order.\nAnswer: 5\/4, 10\/1397, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 1021 + -3 + 4\/(1 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23858, 47716, 71574, 95432, 119290?\nAnswer: 143148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.575 - 0.585. Which is the second biggest value? (a) -0.08 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 n when three letters picked without replacement from kfkknknf.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37.2 + 39.8. Let k = 26.4 + c. Which is greater: 4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32256 times 23?\nAnswer: 741888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 54*a**2 - 2853*a + 64. Is f(-27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-1 + -1 + -1). Suppose 62 - 19 = 2*f - 3*r, d = -2*r - 6. What is the highest common factor of 68 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f + 5. Let r be m(-5). Let v be 242\/r - ((-160)\/(-70))\/(-8). Which is greater: 6 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294909401441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71351, 71363, 71383, 71411, 71447, 71491, 71543?\nAnswer: 71603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 + -51. Is 0 + (-2 + 0 + f - -256) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (58 + -4) - (-4 + -4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057)*-2 + 0 + -5 + 0 + sqrt(2057)*3 + 5 + 2 + -3*sqrt(2057))*-5.\nAnswer: -10 + 110*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.137 - 91?\nAnswer: -90.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -883 by 8725.\nAnswer: -883\/8725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -197253 divided by 303.\nAnswer: -651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 - -78. Determine n, given that 0*n**h - 2\/3*n**3 + 0 + 0*n = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 + 2*p**3 - 5*p**3 + p**2 + (-272*p**2 + 2125*p**2 + 2251*p**2)*(5*p + 3 - 3) in the form m*p**2 + i*p**3 + b + z*p and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/69300 and 175\/6732.\nAnswer: 1178100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81\/108*(-8)\/276*6.\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7532 is divided by 980.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 190*d**3 - 8*d.\nAnswer: 1140*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4853235 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + y**2 + 2*y + y**3 + 5 - 4*y**2 + y**2 to h + s*y**2 + a*y + m*y**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-5 - -4) + -32. Let m = -17 - j. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, -1, 1, 5, 11, 19, 29?\n\"Answer: i**2 - 3*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -4*r - 24, -24*r + 74*a + 46 = 120*a - 51*a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(1 + m - 1) - 5*m + 0*m + 15*m + (0*m + 0*m - m)*(1 + 1 + 0).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2556\/7*p + 3820\/7*p**2 - 12\/7*p**3 - 1276\/7 = 0. What is p?\nAnswer: -1, 1\/3, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 2*w + 1. Let t(h) = 4*h**2 - 4 - 20*h**2 + 4*h**2 + h**3. Let u be t(12). Let z be x(u). Solve a + 1 = -5*r + 4*r, 3*r = z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 6*o**2 - 8*o - 9. Let f = -23 - -18. Let w be p(f). Let x be 1 - (3\/w)\/((-2)\/4). Solve 3*j - x*j + 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 8*o - 2. Calculate the remainder when 177 is divided by c(-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 5*r - 3. Let j be f(5). Let k be j\/(-6)*-2*4. Is ((-30)\/(-9))\/(k\/(-1002)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5955 and 93045?\nAnswer: 36938865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x**3 + 15\/2*x**4 - 17\/2*x**2 - 2 - 10*x = 0 for x.\nAnswer: -2, -2\/5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1099834 divided by 19?\nAnswer: -57886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 6*w + 6. Suppose 0 - w = -d. Calculate the least common multiple of d and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14770 - -14888. What is the remainder when v is divided by (-33)\/(-2) - 1\/(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + t = 3*c - 699, -3*c - 2*t + 708 = 0. Let s = c + -416. Let y = 477 - s. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence un when two letters picked without replacement from {u: 2, n: 4, w: 6, h: 6}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-80)*49445\/(-957).\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -5. Let v = m - -10. Let t = v - -0.5. Sort t, 0.1, -2\/5 in descending order.\nAnswer: 0.1, -2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**2 - 1 + 21*z - 31*z - 6*z**3 + 9*z in the form l*z + x*z**3 + a + r*z**2 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, m: 13, i: 1}. Give prob of picking 1 i and 2 m.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**4 + 24630*d**3 + 4959960*d**2 + 38498720*d + 76210560 = 0.\nAnswer: -4716, -202, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -91. Suppose k - a - c = 0, 0 = -3*k + 5*k - 5*a - 149. Let q = -333 + 341. What is the highest common factor of q and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 3:36 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**6 + 1220*f**5 - 185*f**4 + f**2 + f + 931870?\nAnswer: 240*f**3 + 73200*f**2 - 4440*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 3:28 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19721697?\nAnswer: 3, 41, 109, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 13. Let s = z + -5.5. Round s to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63 - -63) + (-1 - (-1 + 2 + 5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 2:34 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815484919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 3*t - 3, 3*j + 24*t = 22*t + 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + (1 - (-1 - -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -23. Let u be (-5 - -8) + (-2 - q). Suppose -u*j + 3 = 5*k + 18, k + 5*j = -26. Let h(f) = 14*f. Give h(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 divided by 72?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13244.39399 + 13021.39400248. Let u = g - -223. What is u rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4847233 < 4847236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26539.94l to millilitres.\nAnswer: 26539940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -4 (b) -1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 22*s**2 - 22*s - 72. Is v(-12) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -57445, -57438, -57427, -57412, -57393?\n\"Answer: 2*v**2 + v - 57448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.40188 - 0.09812. Let p = -10 - -22. Put -0.1, p, l in increasing order.\nAnswer: l, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -542e (base 16) to base 6\nAnswer: -243434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y. Let v(o) be the third derivative of 0 + 0*o**3 + 3*o**2 - 1\/20*o**5 + 0*o**4 + 0*o. Calculate l(v(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millisecond in microseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 828 and 6003?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)*k**4)**(-14\/9)\/(((k\/k**(-2\/25))\/k**(2\/3))\/(k**(4\/7)\/k*k**(-7\/5))) assuming k is positive.\nAnswer: k**(-8431\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w - 1. Let b be 1 + -2 - -1*9. Let y = -5 + b. Suppose 2*s - 10 = 3*j, -3*j - 4 = -y*s + 5. Determine g(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 + 0*j**3 + 5*j**3 + j**2 - j**3 - j**2 + (-2*j**2 + 0*j**2 + j**2)*(j + 0*j + 0*j) - j**3 + 4 - 4 + 6*j**3 + 0*j**3 + 3*j**3.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - -23. Suppose -1285 = -6*i - g. What are the prime factors of i?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/22, -2, -0.3, -4?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97 by -28.\nAnswer: 97\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31755?\nAnswer: 3, 5, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 2*z**2 + 2*z - 1. Let c be r(2). Suppose v + 24 = c*n - 0*v, -v - 32 = -4*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, l: 1, s: 3}. Give prob of picking 1 w and 1 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(70)*-6 - (sqrt(70) + sqrt(70)*-2 + sqrt(70) + sqrt(70))*3)\/(-5*sqrt(80)\/sqrt(2))*5 + -5 + -4.\nAnswer: -9 + 9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/7))**(-2\/11)*u\/(u*u*u**(-2\/9)\/u*u)*u**(-2\/7))\/(u**(-1\/5)\/u*u*u**2)**(2\/17) assuming u is positive.\nAnswer: u**(-78179\/58905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21301022322 (base 4) to base 15.\nAnswer: -358ad3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*l - 29, 0 = x - 2*x + 2*l - 6. Let f be (-17)\/(-7) - (x + (-75)\/21). Let h**f - 3\/8*h + 0 + 3\/8*h**3 = 0. Calculate h.\nAnswer: -3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 1089.5?\nAnswer: 1089.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 142*r + 5033. Determine b(69).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 107615475 and 19566450?\nAnswer: 215230950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 577849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 4*m)*(162 + 159 - 341)*(-4 + 2 + 3)*(-2 - 1 + 1).\nAnswer: 160*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b**2 + 13*b - 77. Let n(g) = -g**2 + 3*g - 19. Let r(a) = -2*h(a) + 9*n(a). Is r(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -715*c**4 - 3*c**3 - 30*c**2 + 365094*c wrt c?\nAnswer: -8580*c**2 - 18*c - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 2*h = 0, 762*x + 3*h - 2 = 759*x + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 - 120*b - 1149. Determine l(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 208\/26 - 13666\/1708. Which is greater: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 b, and 1 f when four letters picked without replacement from {f: 1, z: 1, s: 1, b: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 - 495177797*a\/9 - 110039510\/3.\nAnswer: -(a + 165059265)*(3*a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 21073 divided by -1621\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -0.8, 1, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -8146 (c) -1366 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*p - 53*p - 53*p - 55*p - 61*p + 249*p.\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9, 51, 1, -4 in ascending order.\nAnswer: -9, -4, -1, 1, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/1172 - 9959\/3516. Let c = -23\/8 + 3\/8. Let h = a - c. Which is greater: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 121, 252, 479, 808, 1245, 1796?\n\"Answer: f**3 + 42*f**2 - 2*f + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -11*w**2. Let h(y) = 3*y - 5. Let d(a) = 3*a - 6. Let q(f) = -5*d(f) + 6*h(f). Calculate p(q(m)).\nAnswer: -99*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4.6085+0.5\nAnswer: -4.1085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5023? (a) 1 (b) 3\/2 (c) -564\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8758 - -362a?\nAnswer: 11287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + q = -2*f + 42, 110 = 5*f + 5*q. Suppose -53 = f*t - 813. What is the remainder when t is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002123625 to 5 decimal places.\nAnswer: 0.00212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(468) - 2*sqrt(468))*1 + 5)**2.\nAnswer: -60*sqrt(13) + 493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-326)\/(-652)*3\/((-9)\/2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 42*b = 44*b - 46114, -2*m + 92192 = -5*b. What are the prime factors of m?\nAnswer: 2, 23053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13301 is divided by 2637.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(75) + 1 + 3 + (5 + 2*sqrt(243) + 1)**2.\nAnswer: 221*sqrt(3) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 1020101000201?\nAnswer: -1020101000220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 3. Let r be n(-7). Let h = -1 + 1. Let y = h - 0. Solve y = 4*b - 2*b - r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 170*13\/650*5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 + 55.1. Put s, -2\/21, 0, -5 in ascending order.\nAnswer: -5, -2\/21, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 25.4 and -2279690.4.\nAnswer: -2279665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -441*z + 11322 = -424*z. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbvkqttvqvqvikk. What is prob of sequence bq?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n - 4. Let c be t(-2). Let b = c + 35. Solve -4*z - z + b = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**3 + 5*v**3 + 7*v**2 - 4*v**3 + 9 - 4*v. Let s be 3 + -3 + 3 + -3 + 6. Is 7 a factor of c(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7825 + 8914. Round y to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, t: 12, p: 5, a: 1}. Give prob of picking 1 t, 1 p, and 1 v.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40.926 - 40.943989. Round x to 4 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l + 6. Give v(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 + -11?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 6 + -14 + 22 + 1 - 84\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(17)*-3)**2*5.\nAnswer: 27540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -6.5. Which is the closest to 1? (a) -0.5 (b) 1\/8 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*d - 154*d + 4*r = 24, 2*d + 3*r - 17 = 0. Solve -9*c + 7 = -d*c - 2*h, -2*c + 3*h + 5 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.29 * 4654.\nAnswer: -6003.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.49918484 to 4 decimal places.\nAnswer: 1.4992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243566 is divided by 60891.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -269 divided by -1.\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -1\/3, 758\/13, 6, 4, 80?\nAnswer: 758\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 25 = -3*a - 2*a, 4*i - 20 = 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/44)\/y*y**11 assuming y is positive.\nAnswer: y**(441\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 2 - 28\/(-7). Suppose 4*p = -2*t - t + 25, 0 = w*t + 2*p - 65. Solve -t = -2*y + 7*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171 + 86 - 851*t**3 + 85.\nAnswer: -851*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 90\/(-225)*(-2)\/(-4)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -15\/8 (c) 905\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6303, 6227, 6151, 6075, 5999?\nAnswer: 5923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpp when three letters picked without replacement from {p: 2, b: 2, i: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**3 + 14040*b**2 + 1398447.\nAnswer: -3*b**2 + 28080*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*g + 21 = -5, -3*x = 3*g + 3. Suppose x*q = 5*q - 94. Let l = q + -15. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 1 - (4 + -1)) + 10\/(-12)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5753, 22995, 51731, 91961, 143685, 206903?\nAnswer: 281615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 440749853 minus 38536?\nAnswer: 440711317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -706, -1318, -1882, -2398, -2866?\n\"Answer: 24*u**2 - 684*u - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l - 590. Suppose 3*x = 4*x. Let w be f(x). Find the common denominator of w\/(-75) + 2\/(-3) and -18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-1 + 1 + 24\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(448\/(-32))*77*-1?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -8. Suppose 20 = -q + 6*q. Suppose x - d = 0, -q*x + 4*d + 25 = 5*d. Which is greater: x or z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**4\/4 + 3*h**2\/2 + 293*h - 2. Let b(d) be the third derivative of -d**4\/12 + d**2. Give o(b(n)).\nAnswer: 12*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-1*61 - (-81 - (63 - 128)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - u**3 - 3*u**3)*(-1 - 2 + 1) + 5*u**3 - 4*u**3 + 3*u**3.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f - 20*f = 0. Let z be (-3 + (3 - f))\/5. Solve 2*c + 2*a = -z*a + 10, -3*a = -2*c + 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 - s + 2. Let w = -3 - -1. Let u(f) = -2*f**2 + 14 - 17 - 5*f + f. Let j be u(w). What is o(j)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(210\/(-8)))\/(1230\/(-105)).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 10*c**4 - 6*c**3 - 8*c**2 + 6*c. Let f(j) = 6*j**2 + 27*j**2 + 11*j**3 - 11*j - 1 - 21*j**4 - 16*j**2. Let i(v) = 2*f(v) + 5*m(v). Factor i(l).\nAnswer: 2*(l - 1)*(l + 1)*(2*l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/252*66\/4*2*1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -11. Let q(w) = -w - 9. Let s be q(-6). Which is the smallest value? (a) s (b) -0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/c**(-1\/6))*((c\/(c*c**34))\/c)\/c*(c*c\/(c*c*c\/c**(2\/7))*c)**(-1) assuming c is positive.\nAnswer: c**(-1531\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 301*h*l**2*x**2 - 130840*h*l**2*x + h*l**2 - h*l*x**2 + 110*l**2*x**2 wrt x?\nAnswer: 602*h*l**2 - 2*h*l + 220*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 + 0*m + 0*m + (-4*m - m + 2*m)*(2 + 1 + 0)*(-4*m + m + 4*m) + m**2 - 5*m**2 - m**2 as w*m**2 + s*m + x and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129261795 divided by -5.\nAnswer: 25852359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*g + g. Solve -4*p - 20 = -g*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4387328?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**2 + 1481994*a + 2963984 = 0.\nAnswer: -1481992, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 6:43 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 15 = 5*r. Suppose 5*u = 2*p + 12, 0 = -u - r*p - 1. Solve u = -o + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 + 84\/(-49) + (-2)\/7 and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p. Let k(f) = 71*f + 1. Determine -h(i) + k(i).\nAnswer: 73*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10293529.\nAnswer: 10293529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 12*j**2 + 10*j - 13. What is i(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2251, -4541, -6831, -9121, -11411?\nAnswer: -13701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-303 - 0)*(-4)\/12. List the prime factors of u\/11 - 10\/55.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -30590*f - 5387. What is the units digit of j(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 1 + -3 - -12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -13459*p**4\/4 - 5429*p**2 + 13815. Find the second derivative of k(i) wrt i.\nAnswer: -80754*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*i = 0. Suppose 0 = -f + t + 5, -2 = -2*f + 7*f + 4*t. Find the second derivative of i*v**2 + f*v**2 - v**2 - 3*v wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.120997603 - 0.121. What is w rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*p*u**2 - 333*p - 109*u**2 - 17*u wrt p?\nAnswer: -18*u**2 - 333","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.41 + -0.59. Which is the second smallest value? (a) 0 (b) v (c) 5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 1. Let r(y) = -53 + 52 - 3*y + 0*y. What is -5*d(n) - 2*r(n)?\nAnswer: n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 0*v**2 - 323\/48*v**4 + 7\/16*v**5 - 1\/120*v**6 + 289\/24*v**3 + 0 + 11*v. Find m such that z(m) = 0.\nAnswer: 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 36*r + 4 = 32*r, -31*b - 3*r = -62 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) -276 (b) 2\/3 (c) 48\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34 or -126?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (30\/2)\/(-2 + 3). Let t be ((-20)\/30)\/(6\/(-45)). Suppose -t*u = 0, -5*d + x = -2*u + 3*u. Solve -4*s = o + 6 + 1, -5*s + 4 = -d*o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from uqjnuqqbnqnunjuq?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 11*o. Let n(i) be the second derivative of -3*i**4\/4 - 8*i**2 + 3036*i. Give g(n(c)).\nAnswer: -99*c**2 - 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 308 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*j + 12 = 2*j, -2*s + 3*j + 21 = 0. Let n = 0 + 0. Suppose n = -s*k + 4*k. Solve 0*c + 4*c - 16 = k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34704 * -138.\nAnswer: 4789152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -1, -0.4, -67\/7, 3, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71297, 142596, 213895?\nAnswer: 285194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/60*16243\/(-1671). Let b = 5\/557 - z. Find the common denominator of 131\/12 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664011000.\nAnswer: 2, 3, 5, 24593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.401 - 4.291. Let v = 25 - 27. What is the second smallest value in v, 1\/4, k, 3\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8895 - 3100 = 271*v + 41567 for v.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -2\/3*t**3 + 77*t + 0 + 0*t**2. Let h(n) = 30*n. Give g(h(o)).\nAnswer: -120*o","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Round 56 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 4:11 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1052727 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -15364\nAnswer: -17\/15364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 61, 90, 145, 232, 357, 526?\nAnswer: 745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6867 a factor of 251439919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (19*1)\/((120\/(-12))\/(-10)). Suppose l*o = 1645 + 2136. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-25)\/(-10)*(3 - 1\/1). Let h(p) = -16*p - 15. Let a(n) = -15*n - 14. Let t(j) = b*a(j) - 4*h(j). Differentiate t(f) wrt f.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/551 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -7*m + 212. Suppose 3834 + 1686 = 184*w. Give s(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i. Let t(h) = 272*h**2. Give t(x(j)).\nAnswer: 272*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26569937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 11*j - 19. Let x be t(2). Let r(n) = 4*n**3 + 5*n**2 + 5*n - 1. What is the tens digit of r(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.17 in 3, 0, -1\/15, 4\/5, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/16 of a century?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-28)\/(9072\/(-54))*(-165)\/1\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - -23. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 1. Let f be (l\/8)\/((-2)\/20). Let w = -135 - -131. What is the biggest value in -0.3, w, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from qrrjrqrqrrrjqrrrqrrr?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utvvbfubbubuttufuzf. What is prob of sequence zu?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**4\/4 - 5*s. Let x(u) = 3*u. Determine x(h(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/266 or 0?\nAnswer: 5\/266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.71 - 4.73. Which is the nearest to j? (a) -2\/11 (b) 0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6695*b**2*c**3 + 92*b + 4*c**3 wrt b?\nAnswer: -13390*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1500*u + 5754 = -1774*u for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 239681?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6230 + 6231. Suppose -203 = 2*d + 5*g, -d - 111 = -4*g + 10. Which is smaller: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 * -0.132\nAnswer: 1.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3240 = -5*m, -4*m + 2571 = -24*o + 19*o. Which is greater: 650 or m?\nAnswer: 650","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546.809km in millimeters?\nAnswer: 546809000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5 = -5*w - q, -5 = w + q. Is -4 + w + (2940 - -2) - 3 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\/5 in -0.5, 2\/7, -2\/5, 8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnp when three letters picked without replacement from {p: 4, n: 3, i: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*d + 15. Suppose -3*v + 3 = -d. Solve -1 = -v*s - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -13*t + 90. Let f be b(6). Let k(j) = 77*j + 17. Is k(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71584026 to the nearest integer?\nAnswer: 8461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8760 is divided by 184.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -560\/275087 or 0?\nAnswer: -560\/275087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 578\/1345 - 8\/269. Find y such that 4\/5*y**2 - f*y**4 + 0*y + 0 - 2\/5*y**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + sqrt(190) + 2*sqrt(190)*-1 + sqrt(190) + sqrt(190))\/(sqrt(160)*-1) - (-5 + (sqrt(171) + sqrt(171) + -1 + 3)**2).\nAnswer: -683 - 49*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2\/2 + 15564570*o + 24225583928490.\nAnswer: 5*(o + 3112914)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3611 - 2*p - 453*p**2 + 3611 to r*p + y*p**2 + h and give y.\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from oogooog?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 103693 and 1?\nAnswer: 103693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egb when three letters picked without replacement from {g: 3, m: 2, e: 4, l: 1, b: 3, u: 3}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -1222*x**3 - 6*x**2 + 18*x - 5. Let k(i) = 306*i**3 + i**2 - 4*i + 1. Determine 2*c(d) + 9*k(d).\nAnswer: 310*d**3 - 3*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 2:28 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39867 - 39646. Solve -2*x + 4*n - 8 = 0, 2*x - 213 = -2*n - v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301*h - 152*h - 151*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (44\/(-6))\/((-10)\/30). Suppose 0 = -m*j + 28*j + 390. Does 13 divide 15\/(((-30)\/j)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 6058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4121.3236 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(1*2\/4). Let r be 3 + 3 + g\/2. Suppose 3 = j, -r*m + j - 5*j = -27. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.10800585 and 6.\nAnswer: 6.10800585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.5 + 13.5. Let o = g - 13. Sort o, -2\/5, 0 in descending order.\nAnswer: 0, -2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m + 2*m + 2*m. Let k(y) = 46 - 17 - 15 - 12 + 3*y. Let g(q) = q + 1. Let o(v) = -4*g(v) + 2*k(v). What is f(o(n))?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3628089, 3628088, 3628087?\n\"Answer: -s + 3628090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0.8. Let t be (-1464)\/420 + 1568\/490. What is the fourth smallest value in 0.4, -8\/5, s, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 21*x**2 - 20*x + 44. Let l be d(-20). Let m be 2\/(-8) + 34\/8. Calculate the greatest common divisor of m and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -29376209, -29376210, -29376211, -29376212, -29376213, -29376214?\n\"Answer: -i - 29376208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-2 + 5) - -3) + 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eessssseeess. What is prob of sequence see?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -69, -51, -15, 45, 135, 261, 429?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-42))\/(400\/(-480))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 74*g + 1. What is the units digit of q(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109 - 106. Let j(b) = 3*b**2 + 5*b + 3. Let s be j(x). Calculate the greatest common factor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1984*y - 978*y - 1005*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10040)\/56 + (-4)\/(-14). Let t = v - -185. Solve 2*s = -0*s + t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3350 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 3*-2*((-36)\/8 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27\/(-15) - (-1)\/(-5). Let p = 15 - 9. Let f be -1*p\/2*4\/3. Sort f, -3, k in descending order.\nAnswer: k, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019799983 to five dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 2*w = 12, w + w = -3*i + 176 - 212 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-1 - -4))\/(-2). Is -6 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 16) to base 11.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 559*l - 558.\nAnswer: -(l + 1)*(l + 558)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 12:45 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*f**4 + 678*f**3 - 4*f**2 + f + 137139.\nAnswer: 252*f**2 + 4068*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -1.228.\nAnswer: -1.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*q = -323*q + 68 + 175 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -39, -0.1, 0.4, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 6. Let b = 1 + u. Solve b*o + 29 = 4*o + 5*t, -3*t = -o - 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2142013 - -42?\nAnswer: -2141861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -303 (base 8) to base 13\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, v: 3, a: 5, k: 2, b: 1, t: 1}. What is prob of picking 1 t and 3 v?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 408 and 18462?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*m + 2*c, 0 = -6*m + 56*c - 59*c + 9 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 54*s**2 - 163*s - 165. Give u(-1).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 4. Let r be n(-2). Calculate the common denominator of -31\/4 and (-8)\/r + (-281)\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 divided by -2?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -54 + 7998888489\nAnswer: 7998888435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/4 - 20385*t**2\/4 + 46172025*t\/4 - 34859878875\/4.\nAnswer: 3*(t - 2265)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12212 (base 3) to base 7.\nAnswer: -314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 63*a**4\/5 + 818*a**3\/5 + 2633*a**2\/5 - 42*a\/5.\nAnswer: a*(a + 6)*(a + 7)*(63*a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 57\/(-190) - (-52)\/40. Sort 1\/4, -119, z.\nAnswer: -119, 1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 0.2, -7, -49, 5?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 17*j - 6. Let f be l(-16). Suppose 13*s = 8*s + f. Solve -2 = s*b - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55 - -23?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3 = -4*u + 10, 3*u = 5*l + 16. Let r be 0 - (79\/u + (-12)\/18). Calculate the highest common divisor of 99 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -85*w**2 + 24*w - 102. Let y be i(15). Let q be (y\/(-6852) - 18\/24) + -2. Is q greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 37cae001 - 4?\nAnswer: 37cadffd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-4)*(2 - 7 - -3). Put -2, 2\/13, k in descending order.\nAnswer: 2\/13, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11947343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7956, -7963, -7970, -7977, -7984, -7991?\n\"Answer: -7*s - 7949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44832427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -164*k**2. Let d(v) = -3*v. Determine r(d(w)).\nAnswer: -1476*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.09908 - 4.08808. Let d = 0.089 + p. Let v = 3.8 + d. Which is smaller: v or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6030544?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000096522827 rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6325, -6323, -6321?\nAnswer: -6319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 13*o + 19. Let z be q(-9). Calculate the greatest common factor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than or equal to -37327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 3\/2 (b) -3\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*i**4 + 1292*i**2 + 898576*i**3 - 898579*i**3 - 4396*i**2 wrt i.\nAnswer: 1056*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - (81635\/2871 - 30 - (-42)\/77)?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100 or 102?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -779, -797, -835, -899, -995?\nAnswer: -1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 935037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -679, 1\/3, 4\/9, -0.1, 5 in decreasing order.\nAnswer: 5, 4\/9, 1\/3, -0.1, -679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -a95 (base 14) in base 4?\nAnswer: -200223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.7 - 5. Let u = b + 2. Let p = u - -0.7. What is the third biggest value in -0.3, p, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*h + 2. Suppose 9 = z - 4*l - h, 0 = -z + l + 11. What is the highest common divisor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -4488 + 4485 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4133677 (base 9) to base 15\nAnswer: -2d8ee4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*t**3 - 44*t - 32 - 19*t**2.\nAnswer: -(t + 2)*(t + 4)*(5*t + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*u - 472 = 33, -385 = -3*v + u. Let i = v + 15. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 116, 182?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 92332224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from mddddddddmddmdmddm?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**4\/4 - 4*w**3\/3 - 2*w**2 - 3*w - 6. Let x be n(-2). Is ((-754)\/39)\/(1\/x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5943445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -354954.213 and -0.030457.\nAnswer: -354954.243457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142*q**2*r**2 - 15*q**2*r + 2*q**2 - 2*q*r**2 - 67*r wrt r?\nAnswer: 284*q**2 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t + t + 0*t + (1 - 1 - t)*(6856 + 4419 - 2079).\nAnswer: -9193*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -289, 1, -2\/23, -3\/8?\nAnswer: -289","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**5\/20 + 5*b**4\/12 - 4*b**3\/3 - 3*b**2\/2 - 3*b. What is the units digit of j(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -5. What is the second smallest value in 2, k, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6409298?\nAnswer: 2, 7, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -80*p + 18637. Determine x(233).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 - l**4 + l**4)*(376*l + 433*l + 140*l + 6 - 1343*l).\nAnswer: 394*l**5 - 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-3 - 4)) + -14 - (-1 - 33)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0, 134, 7, 80.3, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 216997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2907764, -2907765, -2907766, -2907767, -2907768, -2907769?\nAnswer: -2907770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 16, -0.1, 0.5, 1, -93?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 26*f + 133. Let v be y(-5). Solve -m + 2*c = -6, v*m + 2*c + 9 = -c for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b91902 (base 12) to base 3.\nAnswer: -102010101211002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -x - 2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqgq when four letters picked without replacement from gjgjqggggjjjqjqjjgj?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (((-3068)\/(-624))\/(-59) - 146\/48)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310.8 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - (-3 + 12 + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91982*2.\nAnswer: 183964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 951*z - 955*z + 1842172. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d**3*f*v + 12*d**2*f*v**2 - d*f - 28*f - v**2 wrt d.\nAnswer: -6*d**2*f*v + 24*d*f*v**2 - f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 60 and 61 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z = 10 - 38 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2\/23))\/s**22*s**20\/(s\/(s**(-21)*s)) assuming s is positive.\nAnswer: s**(-504\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1674 by 837.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 79677?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 49*u - 10*u + 4*j - 3*j, 5*u + 3 = j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -3\/8, 0.49, -3?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202300 + -22012?\nAnswer: -230312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 - 50 = -2*c. Let a = c - 27. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -1\/3, 5, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 + 286*i - 83*i**2 - 286*i + 6*i**3 + 168*i**2 - 85*i**2.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 11\/142847967?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 289111942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.1 (b) 1\/5 (c) 1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 minus 14767?\nAnswer: -14814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 22816cc2?\nAnswer: 22816cbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -979 - -1903. What is the greatest common factor of d and 168?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11376968 - -9?\nAnswer: -11376959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -6 + -4 + 1 + -5 + 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*n**2 + 494*n**2 - 391*n + 4*n**4 + 774 - 34*n**3 + 42 - 1017*n - 70*n**3 = 0. What is n?\nAnswer: 1, 2, 6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -297*n**2 + 202*n + 9. Let t(v) = -297*v**2 + 203*v + 11. Let g(x) = 5*i(x) - 4*t(x). What is the second derivative of g(d) wrt d?\nAnswer: -594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -0*q + 5*q. Let m = 13 + q. Sort m, 2, 4 in descending order.\nAnswer: 4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b315 (base 12) in base 14?\nAnswer: -713b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 106203 times 0.03\nAnswer: 3186.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.3 + -0.7. Let m = h + 5.9. Suppose 5*d = -20, -4*r = -6*r - d + 6. Is r bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -40*o - 1296. Let h be u(-32). Let j(m) = 4*m + 8. Determine j(h).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeaeeaeeaeeeae. Give prob of picking 1 e and 2 a.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3334 (base 6) in base 9?\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-2\/7)*g*g*g)**(-1\/2)*g**(2\/17)\/g*(g*g*g*g**(2\/3)*g)\/g*g assuming g is positive.\nAnswer: g**(1019\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1219 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**3 + 10*c**2 + 6*c + 11. Let w(g) = -13*g + 32. Let q be w(5). Let o(l) = -l**3 + 2*l**2 + l + 2. Let r(f) = q*o(f) + 6*d(f). Factor r(k).\nAnswer: 3*k*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 10*f - 4. Let j be w(9). Suppose -j*n + 4*n = -3. What is the closest to -2\/7 in n, -1\/7, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19079 - -20455. What is the remainder when j is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-5) + (-6)\/(-6). Suppose 5*x - 2*w - 2405 = -7*w, 0 = -k*x - w + 1924. Calculate the greatest common divisor of x and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1944)*-2 - sqrt(1944) - (sqrt(192) - sqrt(192)*1 - sqrt(192))\/sqrt(8)))\/(-2*(sqrt(588) + -4*sqrt(588))*1).\nAnswer: -26*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 0*y**4 + 1\/6*y**3 + 0 - 1\/60*y**5 + 0*y - 4*y**2. Factor k(s).\nAnswer: -(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 36. Let z be -1 - o*(-2 + 4). Solve h - 6 = -z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -0.0781 (b) 108 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -17*f**2 - 8*f - 8. Let v be w(-2). Let k = v - -64. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*b - 3*b - 55, -4*l - 53 = b. Is (-124)\/5*b\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 3:15 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 11*n**5\/40 - 67*n**4\/4 - 7*n**2 + 135. Factor a(k).\nAnswer: 3*k*(11*k - 268)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 145925985?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50485903?\nAnswer: 13, 17, 228443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 12312.99 to the nearest 10.\nAnswer: 12310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/9 - 0)*-6*6363\/606?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3)\/p**(-5))**(-1\/26)\/(p**(3\/4)\/(p\/(p\/p**2))*(p\/p**(-5\/3))\/(p\/(p\/(p*(((p\/p**(-2\/5))\/p*p)\/p*p)\/p*p)))) assuming p is positive.\nAnswer: p**(209\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 6022.3494 to the nearest 100.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 11*s**2 + 67*s**2 - 13*s**2 + 3*s.\nAnswer: 65*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2. Let p(x) = -1 + 2*x + x - 2*x. Let s(q) be the first derivative of -2*q - 2. Let c(g) = -2*p(g) + s(g). Determine f(c(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -153 + -c?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a minute?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 23 + 2 - 24 + 69*a - 10 in the form r*a + o and give r.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 4*c = 5*c. Put -0.7, 1\/2, c, -1 in descending order.\nAnswer: 1\/2, c, -0.7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + 9 - 9 - 2*b + 0*b + b + (-b + 3*b + 0*b)*(-4 + 4 - 1) - 2*b + b + 0*b to the form h + z*b and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 21. Let w = d + -17. Let u be (-34)\/w + (-7)\/28. Is u at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 0\/(4 + 0) - -4. Suppose -6 = c*a, -3*a = -h + 2*h + 313. Let v = 437 + h. Is v a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 175 - 68394?\nAnswer: -6821a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*q**3 - q**2 + 2*q**3 - 7*q**3.\nAnswer: 17*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29153 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 3*m**3 - 4*m**3 + 3*m**2)*(-12*m - 6*m + 6*m)*(27*m + 93 - 93).\nAnswer: 324*m**5 - 648*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b**2. Let m(l) be the second derivative of l**5\/60 + l**2\/2 - 6*l. Let w(z) be the first derivative of m(z). What is w(o(a))?\nAnswer: 25*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*z + 2*z**2 - 3*z**3 - 2*z**4 + 9*z + 13*z to t*z**4 + f*z + x*z**3 + o + r*z**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*c**2 + 0*c**2 + 3*c**2 + (-1 + 1 - 2*c)*(0*c + 0*c - c) + 4*c**2 + 0 + 0.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k**5 - 208*k**4 - 152*k**3 + 8192*k**2 - 15116*k + 7280 = 0.\nAnswer: -7, 1, 5, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 11 = -3. Suppose -a*h = -14 + 4. Let q be (-41)\/(-2) - (-2)\/(-4). Calculate the greatest common factor of q and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.14 + 0.86. Sort o, 0.2, -2 in increasing order.\nAnswer: -2, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*r + 14 + 38, 4*l = -5*r + 102. Calculate the remainder when 41 is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**2*t**3 + 70*r**2 - 66*r*t**3 - 21*t wrt r.\nAnswer: 2*t**3 + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 96*c - 4032. Let t be a(42). What is the nearest to t in 0.07, -2\/5, 0.032, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + o + o)*(-31*o**3 - 31*o**3 + 18*o**3 + (5*o**3 + 2*o**3 - o**3)*(-2 - 2 + 2) + 0*o**2 - 2*o**3 + 0*o**2).\nAnswer: 232*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i - 4. Let c be m(3). Suppose 1 + c = 3*v. What is the remainder when 14 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 516\/270*20 - (199 + -161). Let a(j) = -j - 4. Let g be a(-6). Factor c*t**g + 0*t - 8\/9.\nAnswer: 2*(t - 2)*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*8460.\nAnswer: -42300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 - (418 - 430).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5629134 != 5629136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + w - w)*(3 - 2 + 1)*(0*w - w + 2*w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/3 - 10*b**2\/3 - 16*b\/3 + 32.\nAnswer: 2*(b - 4)**2*(b + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiuiuiui. Give prob of picking 2 u and 1 i.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0.2. What is the second biggest value in z, -2\/3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*v + 1402 = -2*l - 2*l, 3*v = -5*l + 2*v + 6*v + 245 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 1748.\nAnswer: 3\/874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v - 17. Let n be d(7). Suppose -4*i = 4*b - n, -b - i = 4*i + 7. Is 8 a factor of -3 + b\/(-9)*-57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 130, -0.4, -2, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -329 and -0.1?\nAnswer: 32.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -61507 - 257050112\nAnswer: -257111619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -2*x - 304. Let b = -182 + 198. What is the remainder when x is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -613 + 589 - (1 - 10) - 52.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-13598)\/650 - -21)\/(2\/(-10)). Which is the fourth smallest value? (a) f (b) -3 (c) -1\/4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 9. Let k be (18\/(-5))\/((-4)\/40*-2). Let q be (k\/10)\/((-30)\/100). Suppose 3*f = 2*f - q. Determine s(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, l: 3, d: 6, v: 3, c: 2}. Give prob of sequence qlcc.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3123983036 to the nearest integer?\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10600 and 234180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 8. Let y(k) = k - 9. Determine 3*y(d) - 4*z(d).\nAnswer: -d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*o + 2. Let y(z) = z**3 - 2*z + 5. Let m(h) = h**3 - h + 2. Let q(b) = o*y(b) - 5*m(b). What is the second derivative of q(w) wrt w?\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45077692159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8007 + -8000. Let b be (-3)\/6*2*1. Let l be (1*-1)\/(-1 + b). Put -5, l, -0.5, h in descending order.\nAnswer: h, l, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 + 3*d**2 - 4*d + 6. Let j(x) = -3*x**3 + 5*x**2 - 7*x + 11. Give -7*c(w) + 4*j(w).\nAnswer: 2*w**3 - w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/6 - (-110)\/30. Suppose 9*c + h*c = 9555. Suppose 2*s - c = -3*s. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 - 66. Let p = 1 - 1.2. What is the smallest value in -0.1, z, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.92 - -0.08. Suppose 0*u - 3*u - 12 = 0. Which is the second biggest value? (a) g (b) 2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 18. Let n = 47 + -34. Let z be 4\/14 - n\/364. What is the closest to -1 in p, z, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1460 and 120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7 = 5*p, -4*o + 0 + 24 = 3*p. Solve o*m - 9 = 6*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 158*j + 2*j**2 - 158*j. Let f(b) = -8*b + b + 2*b. What is f(c(y))?\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*z = 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8579, -16939, -25299, -33659, -42019, -50379?\nAnswer: -58739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.091141 and 16436.\nAnswer: 16435.908859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*(-3 + (sqrt(832) + 1 - sqrt(832)) + sqrt(832)))**2 - ((-1 + sqrt(13) + sqrt(13))*-5 + -1 - (sqrt(13) + sqrt(26)\/sqrt(2)*-2 + 3))**2.\nAnswer: -4590*sqrt(13) + 119330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4721, -9488, -14249, -19004?\n\"Answer: 3*k**2 - 4776*k + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 - 2*z. Let f(o) = -3*o**2 + 2*o + 1. Let n be 1274\/234 - (-1)\/(45\/(-20)). Determine n*f(i) + 6*w(i).\nAnswer: -3*i**2 - 2*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1602600, 6410622, 14423990, 25642704, 40066764, 57696170, 78530922?\nAnswer: 102571020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6106.97 millilitres to litres.\nAnswer: 6.10697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 504 divide 553417765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -16\/35, -5, 116 in descending order.\nAnswer: 116, -0.2, -16\/35, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**3 + 327*u**2 - 7656*u - 70644 = 0.\nAnswer: -7, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2157, 8306, 18543, 32862, 51257?\n\"Answer: -j**3 + 2050*j**2 + 6*j + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2724446 is divided by 344?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 0)*(2 - 3 - 5*t + 0) to w*t + y and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4450 and 317374.\nAnswer: 7934350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l + 193. Let i be r(24). Let w(f) = -i*f**2 - 70 + 135 - 65. Let m(n) = 2*n**2. What is m(w(s))?\nAnswer: 4802*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24 + 33?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630537 is divided by 78719.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 9:28 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 68793, 68905, 69023, 69147, 69277?\n\"Answer: 3*k**2 + 103*k + 68687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2105123*r**3 - 504405 wrt r.\nAnswer: 6315369*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -1e47887?\nAnswer: 1e47882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -2\/5, -0.058.\nAnswer: -2\/5, -2\/13, -0.058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v + 3 = 0. Suppose -v = -c + 3. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -314 at most as big as -56760\/181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -9. Suppose -3*l = 6*y - 2*y - 65, -5 = l - o*y. Suppose 7*q - 2*q = l. Calculate the greatest common divisor of 2 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from {v: 1, n: 4, t: 2, g: 2, y: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in 5, 2\/3, 0.2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s - 3. Let g(t) = 215 - 687 + 238 - 2*t + 235. What is -11*g(q) - 4*y(q)?\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1265 (b) 0.2 (c) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37168740 * 0.1.\nAnswer: 3716874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53 and 1961?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**2 - 149404*x + 149400 = 0.\nAnswer: 1, 37350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/(-12))\/((-3)\/(-8)))\/(3*(-94)\/(-15651)).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 3*j = 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 7:23 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -48*t + 28*t + 23*t. Let l be w(2). Put -3, -1, l, 0 in ascending order.\nAnswer: -3, -1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (39\/(-13))\/(2 - 18\/10). Let o = t + 21. Let c(w) = 212*w - 13. Is c(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/60*16\/6. Let h be 4\/(-22)*5 - -1. Let o = -2.4 - -1.4. What is the nearest to o in 2, q, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 + 43. Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73 in -1, 0, 0.6, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from bggcnrnnnrac?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/24)\/(2\/42). Suppose -5*p - 2*b = 29, p - 7*b + 2*b - 5 = 0. Let u = j + p. Solve f = -u*q - 0*q, 5*f = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/3650 and -143\/6300.\nAnswer: 459900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -47890210*i**2. Let l(g) = -4*g. Give z(l(u)).\nAnswer: -766243360*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*s - 83*s = 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*a*b**3 + 424*a*b**2*v + 4*a*b - 2*b**3 - 635*b*v + 14*b wrt a?\nAnswer: 3*b**3 + 424*b**2*v + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 - (2 - 1 - (30 + -25 + -4) - -4).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 383*s - 3179 + 23478 for s.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/60)\/((-12)\/(-48)). Which is the nearest to 1\/5? (a) q (b) 70 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3\/21 + 4166*t**2\/21 - 5980*t\/3 = 0. Calculate t.\nAnswer: -2093, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 11*w + 8*w + 4*w + (-2 + 5*w + 2)*(1 + 4 - 4).\nAnswer: 6*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 486.861.\nAnswer: -487.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4))\/((-4)\/40). Let w(p) = 2 - p - 4 - r. Determine w(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 216798, 433600, 650404, 867210, 1084018, 1300828?\nAnswer: 1517640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10\/5 + (-8)\/6\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/((k**(-3\/5)*k)\/k)*k*k*k\/(k\/k**(-1\/3))*(k\/(k*k\/(k\/k**(-6)*k)))\/k**(-1\/14))\/((k*k*k**7*k**4)\/((k**(-6)*k)\/k**(-6))) assuming k is positive.\nAnswer: k**(71\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 32 (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/s**(-15\/8)))\/s*s*s*s**6*(s**(-5\/6))**40 assuming s is positive.\nAnswer: s**(-701\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.553 minus -920881.53002?\nAnswer: 920880.97702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117458 by 22.\nAnswer: 5339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36 + 17)*(-1 + -28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 3:38 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1391*i - 44483*i + 23578*i to f + l*i and give l.\nAnswer: -19514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*k**3*s**5 + 724*k**3*s**2 - 9*k**3 - 2*k**2*s**2 - 258420*k*s**3 + 80*s**2 wrt s?\nAnswer: -1020*k**3*s**2 - 1550520*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 234*c - c**4 - c**4 + 30*c**2 - 236*c - 32*c**5 wrt c?\nAnswer: -1920*c**2 - 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22983747 and 3.\nAnswer: -68951241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c + 4. Suppose 7*u - 5*u + 368 = 0. Let f be u\/44 - 8\/(-44). What is h(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 9*r - 30. Let i be s(-6). Let z(d) = -d**2 - 11*d + 24. Let y be z(i). Let v be (16\/y - 1)*(17 - 2). Solve -2*o - 13 + v = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22040 - 2?\nAnswer: 22037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6\/7 + -4\/21. Let t = 13.53 - 13.46. What is the smallest value in n, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ga when two letters picked without replacement from {g: 2, e: 4, a: 3, s: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 121322132?\nAnswer: 121322122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3302102442 (base 5) to base 2.\nAnswer: -11010111101000110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmrjyzmrzbrzzrmrzj. What is prob of sequence yz?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pc when two letters picked without replacement from chpxy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63665 is divided by 156.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1487 + 1534. Which is smaller: -5\/8 or x?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 11. Let r = 30.1 + -32. Let z = r - 0.1. Which is the second smallest value? (a) w (b) z (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/24884 and -15\/14788.\nAnswer: 91996148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -2. Suppose z + 6 = 3*n. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 7. Let c be i\/(-6) + (-22)\/6. Let g(y) = -2 - 5*y - y**2 + 0 + y**3 + 2*y**2. Calculate g(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42281 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a**2 + 3*a**2 + 6*a**2 - 4*a**2. Let j(p) = -17*p + 3. Let w(u) = 120*u - 20. Let t(g) = 20*j(g) + 3*w(g). Determine l(t(d)).\nAnswer: -400*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -8\/9, 11, 3.2?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 101 - 3 = 0 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/1*(-1)\/((-2)\/4). Suppose 2*n - 6 + 10 = 0, 2*a - s*n = 778. What are the prime factors of a?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1020603ml to litres.\nAnswer: 0.0001020603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from {y: 1, x: 1, k: 4, v: 8, w: 6}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10422970 + -10422977.0000016. Let l = 7 + y. What is l rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 192 to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 0.5 (c) 3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + (-11 - -8))\/(-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268886264761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + 3 - 20 + 17 + x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1373, 2754, 4113, 5438, 6717, 7938?\n\"Answer: -2*k**3 + k**2 + 1392*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + w**3)*((-4 + 3 + 0)*(2*w**2 - w**2 + 0*w**2) - w**2 - 2*w**2 + 7*w**2).\nAnswer: 3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 3 (c) -1 (d) -16 (e) 0.074\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 6068688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 46038, 186254, 419940, 747090, 1167698, 1681758?\n\"Answer: -q**3 + 46741*q**2 - 702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/2276 and -37\/56?\nAnswer: 31864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4788437 is divided by 1596131.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170 = -5*g + 17*l, -7*g + 3*l - 637 = -771 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 8*d + 23. Suppose 0 = 9*o - 5*o - 40. What are the prime factors of g(o)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 2851184?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**5 + 565*k**4 + 2340*k**3.\nAnswer: -5*k**3*(k - 117)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(143)*-2)\/(sqrt(275)*1) - (1 + sqrt(104)\/(sqrt(32)*-1))) + 2)**2.\nAnswer: 21*sqrt(13)\/5 + 5833\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 3, v: 9}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*(-38)\/(-76)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 4) in base 2?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3665981?\nAnswer: 11, 333271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -2*p**3\/3 - 12*p**2 + 29*p + 8. Let t be i(-13). Solve -3*x = t - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0047553 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-8 + 6)\/16. What is the smallest value in 2, 0.12, p, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022553.\nAnswer: 3, 7, 16231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awwwhwwwwwwwwawwyaw. What is prob of picking 2 a?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: -1000000100000110 (base 2) to base 16\nAnswer: -8106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttiitttittiitti. Give prob of picking 1 t and 1 i.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1431954632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 97.399?\nAnswer: -93.399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 17. Let f(m) = -m - 1. Let z be f(-4). Suppose z*x - x - 18 = 0. What is the highest common divisor of q and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1750070 divided by 2\nAnswer: -875035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20143144 + -102?\nAnswer: 20143042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -242*m - 93 + 577. Solve 745 = m*o + 737 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 - 37. Suppose q + 63 - l = 0. Let b = -26 - q. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/2 of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472762 is divided by 52528?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 17 - 4 + (5 + 0 - 4)*(3 - 2 - 3))*((-2*z**3 + 4*z**3 - 4*z**3)*(1 - 2 + 2) - 3*z**3 - 2*z**3 + 4*z**3).\nAnswer: -102*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((3 - 4) + -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3 + 20*q**4 + 3*q**6 + 4 - 53*q**2 - 12*q**4 wrt q.\nAnswer: 360*q**3 + 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 7:36 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -741, -1705, -3073, -4851, -7045?\nAnswer: -9661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 178*w**3 - 580*w**2 wrt w?\nAnswer: 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 245181228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -626.0707 and -172.\nAnswer: -798.0707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*1604\nAnswer: 128.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*n + 16*u - 21*u, 4*u = n - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29783?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 164 and 178.\nAnswer: 29192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 9194.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -96 divided by -8\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 74743479 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 11523836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/23)\/(h*h*h*h*h**(2\/91)\/h*h))**(-1\/16) assuming h is positive.\nAnswer: h**(4391\/16744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -m + p + 8, -5*p + 29 = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1041426378 - -0.75?\nAnswer: -1041426377.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2181 times -2243\nAnswer: 4891983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/(x*x\/(x*(x\/x**(-1\/6)*x*x*x)\/x*x*x)))*x*x*x\/(x\/x**(-6\/17)) assuming x is positive.\nAnswer: x**(-257\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10436504.9483255043515 + -1.2516735356485. Let n = m + 10436502. Let s = -4.2 - n. Round s to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16274 and 632.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.315.\nAnswer: -0.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 11, x: 2}. What is prob of picking 1 x and 3 t?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -24. Let k = -28 + a. What is the least common multiple of k and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*h = 24. What is the greatest common divisor of 36 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312538 to the power of 1\/2, to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, n: 1, j: 1, q: 1, g: 1}. Give prob of sequence nqj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaahah. What is prob of picking 3 a and 1 h?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -6708307 and -6708307 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*v = 186*v + 15024. Sort 3, v, -1, -9 in decreasing order.\nAnswer: 3, -1, -9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1864*l = 1970*l - 742 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/56 - (-1)\/14*6. Which is the second smallest value? (a) 0.4 (b) -24 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1742 - -1700. Which is the nearest to -1? (a) 1\/4 (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*117\/360 - (-72877)\/(-28420)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 2 + 2)*(-2*c**2 - 9*c + 9*c) + 286*c**4 + 39*c**4 + 129*c**4.\nAnswer: 452*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**3 + 0*x**3 + x**3 - x**2 + x**2 - 2*x**3 + (-x - 4*x + x)*(-3*x**2 + 7*x**2 - 3*x**2).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -45. Let x = -15 - f. Solve 2*p + 4 = -3*o, 3*p + 0*p = 4*o + x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 + -3 - (0 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4 = -o, -3*o + 4 = -p - 19. Solve -w = 3*b + 1, o*w - 5*b + 5 = 3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 2*q - 3. Let v be w(6). Suppose 34 + v = 5*g. Let h be (-4)\/18 + 101\/9. What is the highest common divisor of h and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n - 2. Let j(p) be the second derivative of -1\/3*p**3 + 36*p + 0 - 1\/2*p**2. Calculate -4*d(u) + 11*j(u).\nAnswer: 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287628?\nAnswer: 2, 3, 11, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 18 = 5*t + 240, 188 = -4*t + 2*r. Let q = -41 - t. Let a = -2 + q. Solve a*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*1\/(345\/(-230)*146\/1).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*6*sqrt(100)\/sqrt(2)*-3)\/(sqrt(50)\/(sqrt(30)\/sqrt(6)) - sqrt(60)\/(sqrt(6)*-2)) + 4.\nAnswer: -36*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/5427 - 244207\/43416. Find the common denominator of q and -37\/4584.\nAnswer: 4584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 14 = -0*y. What is the remainder when 32 is divided by (-4)\/y - 450\/(-42)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z**3 + 10*z**3 + 4*z**3.\nAnswer: 26*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*a + 173*a + 9*a**3 - 46*a - 40*a - 46*a.\nAnswer: 9*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 127423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26170.\nAnswer: 2, 5, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - ((2 + -4)*1 - 3). Let c = -24 - -24. Sort 4\/9, -3, c, a in increasing order.\nAnswer: -3, c, 4\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 236 = -4*c, 35*c + 5*j = 38*c - 160. What is the highest common divisor of c and 960?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.4*-0.5.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 42357384 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*n - 7 = 0, 0*q = -3*q - 4*n + 16. Let y(u) = u**3 - 46*u**2 - 47*u. Let k be y(47). Solve k = -2*t + 3*r + 11, -q*r + 12 = 2*t + 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/7, -2\/167 in decreasing order.\nAnswer: 2, -2\/167, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/q**(2\/15))*q)\/q*q*q*(q\/q**22)\/q*q assuming q is positive.\nAnswer: q**(-298\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.959 from 2.\nAnswer: -2.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -273150?\nAnswer: -273144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.9, 10, 2\/11, 8 in decreasing order.\nAnswer: 10, 8, 2\/11, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 183692?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 e, and 1 a when four letters picked without replacement from {e: 6, h: 4, a: 10}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -52. Let h = -1873 - -1884. Suppose -13*f + h*f = -g. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3, 3\/2, 11, 3\/7.\nAnswer: 0.3, 3\/7, 3\/2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1825200 by -1350.\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76*y**3 - 9*y**2 + y - 712 wrt y.\nAnswer: -456*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -381 - 313?\nAnswer: -694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 259804 and -4.\nAnswer: -1039216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.866, -143, 2?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - y + 4*y - 22.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 518251\/196770 - 3\/6559. What is the common denominator of r and 41\/783?\nAnswer: 7830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/432 + 402\/(-27) + -10?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from {c: 1, g: 2, t: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2. Let u(z) be the second derivative of 19*z**4\/12 - 3*z. Calculate o(u(t)).\nAnswer: -722*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and -3.60414?\nAnswer: 2.522898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -30000 (base 4) to base 6\nAnswer: -3320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) 72 (c) -3 (d) -1\/11 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 6. Suppose 2*l = 5*y - 17, 11*y - 6 = 8*y - 3*l. Let c(k) = 3*k**2 - k - 19. Let p be c(y). Calculate i(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*((s\/(s**(-1\/2)\/s))\/s)\/s*s*s*s**9*s*s**(-2\/3)\/(s\/(s*s**(-2\/13))*s) assuming s is positive.\nAnswer: s**(911\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjcccccjccjcjc. What is prob of picking 4 j?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 19 = 2*c, 3*k = 4*c + 136 - 159 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 88 - 87.79. What is k rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uszuvzuvvwvwvwb. Give prob of picking 1 u, 1 w, and 1 s.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -340 by -10.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2184428 - 2184428 - 603*m.\nAnswer: -603*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100 - 110?\nAnswer: 101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -55*b - 58*b + 176*b - 64*b. Let z(i) = -1054*i**2. Calculate r(z(l)).\nAnswer: 1054*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1673515601.\nAnswer: 373, 4486637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2*y + 21 + 5, 5*j = -5*y + 15. Let l be (-4)\/j*6 - 1. What are the prime factors of 25 - (-5)\/((-10)\/l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and -16471?\nAnswer: 13176.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 5 - 3 = -5*p, -4*p - 4*k = 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -41532498*p**3\/11 - 36456*p**2\/11 - 8*p\/11 = 0. What is p?\nAnswer: -2\/4557, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 - -48. Let t = 11.2 + r. Let s = -101 + 503\/5. What is the closest to 1\/3 in 3, t, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.23856 rounded to 2 dps?\nAnswer: -2.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = s + 4*s + 2*h, -4*h = 5*s - 90. What is the remainder when 115 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-8)*8678\/1288683?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131 divided by -3473.\nAnswer: -131\/3473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**5\/5 + 111*x**4\/5 - 288*x**3\/5 - 636*x**2\/5 + 816*x\/5 = 0.\nAnswer: -2, 0, 1, 4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4794814, 4794817, 4794820, 4794823?\n\"Answer: 3*p + 4794811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -273 - -448. Let s = -123 + i. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -78?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 16*c**2 + c - 13. Let k(u) = -5*u + 2. Let v be k(9). Let l = -10 - v. Calculate the remainder when d(-3) is divided by l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61900632 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/595105, -3, -2\/5?\nAnswer: 1\/595105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17, -48, -85, -128, -177?\n\"Answer: -3*w**2 - 22*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = q - 4*t - 891, 0 = 4*q - 2*t - 3564. List the prime factors of q.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*i + 39*i - 79*i to x + p*i and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67 - -71. Suppose -f*h = 3*j + 2*j - 1201, -3*j + 3 = 0. List the prime factors of h.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1750*p - 5*p**3 - 3*p**2 + 1750*p to the form s*p + g*p**3 + n + c*p**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 - 64 = -3*i. Let m = i - 51. Let q be m\/(-6)*(-75)\/(-10). What is the third smallest value in 2\/7, q, -2\/25?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3*((-45)\/(-18) - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/24 and -2\/2139?\nAnswer: 17112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3 = -b, -3*b + 9 = -0*n + 3*n. Let r = -11 + 16. List the prime factors of 31 - ((b - r) + -1).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40\/12*(-30)\/(-4). What is the third derivative of v*j**2 - 6*j**3 - 43*j**2 + 22*j**2 wrt j?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*x**2 - 7*x**2 + 5*x**2)*(4*x + 0*x - 3*x).\nAnswer: -31*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23272796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -142 - -647?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/1379 and -25\/19306.\nAnswer: 19306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 434.1 - -63.9. Let l = -495 + f. Sort 4, 0.5, 2, l in descending order.\nAnswer: 4, l, 2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -1. Let m = 7.9958 + p. What is m rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 97 or 1650\/17?\nAnswer: 1650\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208 = -123*m - 161 - 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*h + 3*h. Suppose 3*g - 18 = -2*a - g, 7 = a + g. Suppose a*r - 15 = h*r. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/6)\/(4\/(-24)*2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 4179925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/2 (b) 56 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -421 + 468. Suppose 18*m = k*m - 377. Solve 6*u + m + 11 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -17*o + 4*z - 73 - 122, -878*o = -871*o + 4*z - 65 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v**3*x**5 - 752*v**3*x**2 - 30*v**3*x - 29*v**2*x wrt x.\nAnswer: 40*v**3*x**3 - 1504*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.059, 25\/6?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33\/10 + 7\/2. Let i be 49\/63 - 2\/(-9). Let k = -3.4 - -3.4. What is the third smallest value in k, p, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 13 + 2. Let i(u) = -u**2 - 7*u - 6. Let p be i(-6). Solve 2*z = -5*g - 0 - 10, p = -o*z - 2*g - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 5*i**4\/12 + 5*i**3\/6 - 5*i**2 - 108*i - 3. Find y, given that g(y) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1051, 2084, 3117?\n\"Answer: 1033*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-1)*k)\/k)**(-35))**(-10\/3))**(-5) assuming k is positive.\nAnswer: k**(1750\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6443 - -6483.044. Let m = 40 - u. Let s = m - -0.04400416. Round s to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 940*m - 919*m**2 + 940*m.\nAnswer: -919*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(68))*-6)**2.\nAnswer: 288*sqrt(17) + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 406 and 464.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16303497943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -545 + -1823. Let f = 674884\/285 + w. Let o = -10039\/4560 + f. Find the common denominator of -103\/6 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 673439 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 23022?\nAnswer: 23017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2 - i + 0*i**2 + 2*i**2 - 3. Let s(x) = -x**2 + 2*x - 3. Suppose -v = 3*v. Let h be s(v). Calculate g(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-50)*2\/(6\/(-15))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 1:08 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + g + 11, h = -7*g + 2*g - 11. Suppose -125 = -h*v - 117. Solve 50*l - 49*l = v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5180)\/(-15) - (-1)\/(-3). Suppose -86 = 7*n - t. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 240 = -16*b. Let x = -12 + 117. What is the highest common factor of b and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -6. Suppose -z*v = -6*v + 6. Suppose -m = -18 + v. Solve -4*q - 2 = -3*o, 2*o - 4 + m = -2*q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 129 = 2*w. What is the remainder when w is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i. Let w be (-12)\/9*(1 + -4). Let y(h) = w*h - 3*h - 4*h. Give y(a(u)).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 252*n - 49. Determine o(1).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - (-2 - 0)) + (-28 - -26) + 2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*v = 12, 8*v - 15 = -5*m + 5*v. Let c be ((-22)\/77)\/(3702\/(-1848) + 2). What is the remainder when ((-12)\/(-8))\/(m\/c) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 4*n - 4. Let y be ((-40)\/(-15))\/(8\/(-12)). Does 22 divide u(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - d = 39, -39*y + 37*y + 17*d - 10 = 22*d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**7\/840 + q**4\/12 + 3*q**2. Let k(n) be the second derivative of d(n). Let w(i) = i**2. Determine k(w(y)).\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 5*p**2. Let f be ((-5)\/(-2))\/((-2)\/(-4)). Let b be c(f). Solve b = -2*y - 0 + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -11. Let w(j) = -5*j**2 - 5*j. Let p be w(r). Round p to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22827124399 to 2 dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t. Let c(u) = -355*u. Determine c(o(p)).\nAnswer: 355*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/1*(-82)\/287?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w + 37. Does 8 divide n(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 25174 + 25150 = 0. Let o(p) = 6*p - 3. Let c be o(-4). Let s be c\/2 + 2\/8. Is w < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkkp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 60\/(-25)*(2040\/(-18))\/17. Calculate the greatest common divisor of j and 760.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**4\/8 + 4*s**3 - 17*s**2\/8 - 4*s + 5\/2 = 0.\nAnswer: -1, 2\/3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 108*w**2 + 126*w + 128. Let q be t(-1). Solve q*m = 143*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d77 - -50a8?\nAnswer: 5e30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111100221001 (base 3) to base 7.\nAnswer: 26206444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1191640*q**3 + 57660*q**2 - 930*q + 5.\nAnswer: -5*(62*q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/((-3750)\/200).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6341 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*r + 2*r - 4*r)*(1 - 4 + 2) + r + 0*r - 2*r)*(214 - 12*r**2 + 220 - 435).\nAnswer: -12*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -10*p**5\/3 - 82*p**4\/3 - 266*p**3\/5 + 98*p**2\/15 + 416*p\/15 - 8 = 0.\nAnswer: -5, -3, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c + 235 = m + 22*c, 4*m - 5*c - 947 = 0. What is the highest common factor of m and 2576?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 130 = -4*d, -5*t + 0*d = -5*d - 130. What is the greatest common factor of t and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-68180022)\/(-14) + -1 + (-24)\/42. Round u to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 7*d**2 + 42*d - 15. Calculate the smallest common multiple of v(-11) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3220105.\nAnswer: 5, 7, 92003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -684 less than -604807024?\nAnswer: -604806340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/28 and -43\/137851.\nAnswer: 551404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 11:32 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -19.9. Let j = -4425 + 44251\/10. What is the closest to m in j, -23, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-45) + (-366)\/90.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0348 in 0, 0.01, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -616667 and -0.045 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**2 - 7 - 4 - h + 5)*(5*h + 3*h - 3*h) to the form r*h + j*h**2 + x*h**3 + i and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 + -144 + 5 + 0 + 2 + -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 4:22 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lljjjllyly. What is prob of sequence jjjy?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2440)\/(-6)*(-12)\/(-5). Suppose a - 5*a = -l. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-10)\/156)*(-13 - 135\/(-10)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + -4)*3\/(-6). Which is smaller: d or 3\/8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 + -29. What is the remainder when k is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 20*d**2 + 284*d + 56 = 0.\nAnswer: -14, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 353.962\nAnswer: 21.23772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2924, -11488, -25688, -45512, -70948?\nAnswer: -101984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.408 minus 0.01?\nAnswer: 0.398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -462 (base 9) in base 2?\nAnswer: -101111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l + 36. Let y be d(-9). Let s = y - 66. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*o**2 - 14*o + 14*o)*(2*o**2 - 3*o**2 - o**2) + (2*o + 0*o - o)*(4*o**3 + 0*o**3 - o**3) to n*o**3 + y*o + s + l*o**2 + q*o**4 and give q.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - w - 1)*(1 - 6 - 3) - 2*w - 4*w + 4*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 19. Let i = r - -16. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-6*4\/(-8)). Suppose 1221 = -m*s + 3*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(45\/(-2)))\/(2\/2)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 - -52. Let x(r) = -r**2 - r - 24. Calculate x(z).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 53\/5, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*m = -164*m - 5. Let q be m*2 + -15 + -9 + 22. Suppose 1\/2*w**4 + 0*w**3 + 0 - 1\/2*w**5 + 0*w + q*w**2 = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/13 less than -37406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -134? (a) -4 (b) 2 (c) 1\/3 (d) 1.2 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 1:27 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 15*j**2 - 6*j - 22. Let x be a(-15). Let q be (4\/(-6))\/((-4)\/1182). Let z = q - x. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-20*66\/880)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**7\/2520 - 95*p**4\/24 - 14*p**2 + 1. Let v(y) be the second derivative of h(y). Let m(a) = 10*a**2. Determine m(v(s)).\nAnswer: 10*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 106 - 82. What is the least common multiple of c and 20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 910 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 - 40*y - 145 - 136 + 414 - 2*y**2 = 0.\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3815786, -3815788, -3815790, -3815792, -3815794, -3815796?\n\"Answer: -2*l - 3815784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -121133 at most -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -578 - 0.09689.\nAnswer: -578.09689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 10*s + 50. Calculate t(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 5. Let s = -1 + x. Let j(b) = -b**2 + 5*b - 3. Let i be j(3). Solve -t - s*t = i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2214*a - 63166 = -10208 + 67548 + 3478 for a.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 8.5. Let r = -3.174 - -0.074. Let c = -3 - r. Are l and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 45193, -0.3, -12\/17?\nAnswer: 45193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -209167*v**4 + 418325*v**4 - 209160*v**4 - 1011*v**2 - 1 to the form l*v + b + f*v**3 + g*v**4 + y*v**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c*c*c\/((c\/(c*c\/((c**30\/c)\/c)))\/c)*c*c)\/c)\/(c*c**21*c))\/(c\/c**(-6\/13))**(-4\/21))**(7\/6) assuming c is positive.\nAnswer: c**(-5968\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a gram in milligrams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -36*j - 9. Let d be 4\/(-22) + 84\/(-22). What are the prime factors of r(d)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a week in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001 + -1010010111?\nAnswer: -1001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351 = 126*o - 99 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**8\/26880 - p**7\/2016 + p**6\/360 - p**5\/120 + p**4\/6 - 5*p**2. Let x(y) be the second derivative of w(y). Factor x(g).\nAnswer: (g - 2)**2*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millisecond in microseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 10 = 4*d. Suppose 4*u - 5*b = -137, 0*u = 4*u + 3*b + 161. Let c = u - -53. Solve 10 = -d*s + 3*v, -c = 5*s - 2*v - 0*v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123113231 + -32?\nAnswer: -123113323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t = -9*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2 + 13*t - 14 = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 676 a factor of 1995783868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*f)*(f - 2*f - 2*f) + 2*f**2 - f**2 + f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 + 27 = 4*h. Let p = 21 + h. Suppose 0 = -p*c - 5*m + 18 + 28, 5*m = -20. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 6 + (7 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-13)*j*j\/(((j*j**(11\/4))\/j)\/j)*j)\/(((j\/(j*j**(-1\/11)))\/j)\/j)**0 assuming j is positive.\nAnswer: j**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(242) - (sqrt(242) + -1)) + 3 + 0)*-3)**2.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 314214400 rounded to the nearest 1000000?\nAnswer: 314000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 2*p - 4*u + 6, 0 = 3*p + u - 10. Let m(x) = -p*x + 3*x + 5*x - 2*x + 5. What is m(-6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218042 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (264\/(-15))\/((-8)\/580). Suppose -16*o + 20*o = p. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17 (b) 0.1 (c) 49\/6 (d) 1\/4 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 + -0.25. Let z = -3.75 - b. Suppose -5*d = -d - 16. What is the nearest to 0.2 in -2, z, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 3:41 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 46?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -5. Let j be (0 - -3)*1\/z. Suppose 3*k = 2*h + 75, j*k = h + 3*h + 69. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/2 (b) 620 (c) 2\/11 (d) 2\/9 (e) -29 (f) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 3*d + 5*h - h, -2*d + 3*h = -43. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.04, -2950, -1\/21 in ascending order.\nAnswer: -2950, -4, -1\/21, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000431 to 5 dps.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 - 6948*d**2 + 534424*d - 2955552.\nAnswer: -4*(d - 68)*(d - 6)*(d + 1811)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1684 - 11?\nAnswer: -1705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 36 = 10. Let w = 19 + r. Solve 3*l = l + w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 6:19 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 2:28 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7\/(-2))\/(217\/(-186)). Let r(q) = 4*q + 8*q - q**3 - 2*q + 7 - 3*q**2. Let l(g) = g**2 - g - 1. Let m(a) = -6*l(a) - r(a). Determine m(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-5 - -2)*5. Suppose 0 = w*h - 415 + 110. What is the remainder when h is divided by (16\/4)\/((-3)\/(-24))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**5\/3 + 4*n**4 - 3136*n**3\/3 - 12880*n**2\/3 + 144000*n - 416000\/3 = 0?\nAnswer: -20, 1, 10, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5305 = 2*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1*(5 + sqrt(405) + -5 - sqrt(405))*6)**2)*-3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*c - 3*c - 27*c - 9028*c**2 + 9021*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9}. Give prob of sequence iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j - 9*j - j. Let r(u) be the second derivative of -u**3\/3 + 213*u - 16. Give x(r(f)).\nAnswer: 32*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 365107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yycoooppppopovpvo. Give prob of sequence oo.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 337155 and 7560.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -2*p + 4*y + 32, -36 = -2*p - 3*y. Differentiate 27*g + 2 + 35 - g**2 - p + 51 - 112*g wrt g.\nAnswer: -2*g - 85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105865+540296809\nAnswer: 540190944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**4 + s**3\/6 - 17*s**2 + 19*s + 10. What is the first derivative of z(k) wrt k?\nAnswer: 24*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-42)\/(-70) - (-2)\/10*-43. Let x be 12\/(-15)*(140\/z)\/7. Let q(a) = -3*a - 1. Let u be q(-3). Solve -2 = x*k - u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-596)*1)\/(-46*4\/736).\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y + 6. Let c be u(3). Let s = -6 - c. Find the first derivative of -2*d**s + 2 - 5*d**2 + 4*d**2 + d**2 wrt d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, l: 18}. Give prob of sequence klk.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -6*h**2 - 61\/30*h**5 + 0 - 8*h + 1\/6*h**4 - 4\/3*h**3. Find the second derivative of s(n) wrt n.\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8143888*w**6 - 24002*w**2 + 138*w wrt w.\nAnswer: -977266560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2671132.6 rounded to the nearest 10000?\nAnswer: 2670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*k**2\/11 + 3043968*k\/11.\nAnswer: -6*k*(k - 507328)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -14. Sort -3, -0.1, q in descending order.\nAnswer: q, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b. Let m = -26 - -35. Suppose -m = -10*h + 21. Let c(q) = h - 4 + 61*q + 58*q - 132*q. Calculate p(c(z)).\nAnswer: -26*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194811?\nAnswer: 3, 64937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 140*i**2 - i**3 - 131*i**2 + 9*i - 7*i**2 - 18.\nAnswer: -(i - 3)*(i - 2)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - h**2 + 1. Let i be u(2). Let p = 31 - 33. What is the third smallest value in i, p, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**4\/4 - z**2 - 2*z + 468. Let b be (-15)\/6*20\/25. Let k(v) = v + 5*v**2 - 2 - v**3 - 4*v**2 + 3. Determine b*k(w) - p(w).\nAnswer: w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*l + 2 = 0, 3 = 3*n + 12*l - 7*l. Let y(g) = g**2 - g + 1. Let w(x) = -x**2 + 2*x - 3. Give n*w(d) + 4*y(d).\nAnswer: 3*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*l - 2*x, -2*x + 13 = -l + 3*x. Suppose 162*c - 8051 = 65*c. Suppose -c - 301 = -l*i. Calculate the highest common factor of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2116.8 rounded to the nearest integer?\nAnswer: -2117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-99) - (-1494)\/2739.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 744 and 465.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12869 is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = 3197 + 11636. List the prime factors of z.\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 39?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3241*j**3 + 143*j**2 + 162*j + 17. Calculate r(-1).\nAnswer: 3239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -110101?\nAnswer: 110112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 0.3, 1\/5 in decreasing order.\nAnswer: 0.3, 1\/5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1728226.154 to the nearest one hundred.\nAnswer: 1728200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -585 - -2383\/4. Find the common denominator of 99\/4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-5 + 42\/9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31001563 by -14.\nAnswer: -31001563\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*n + 5 = 0. Suppose -4*h - 17 = -n*g - 2, 4*g = 5*h + 12. Sort 0.3, h, 3.\nAnswer: h, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + 0\/(-5) - (-1 - -5). Let u be -26 + 22 - (n - 6). Solve -2*y - 3*p - 2 + 1 = u, 2*y - 4*p + 8 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*x - 7, -3*x + 5*s + 1 = 2. Suppose x*n - 1558 = -76. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3027097*r**4 - 245719*r**2 - r wrt r?\nAnswer: 72650328*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -150496.\nAnswer: -1\/37624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233000 rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -c5697?\nAnswer: c569a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 51, 102, 153, 204?\n\"Answer: 51*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 399537162?\nAnswer: -399537162.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 8. Let w be ((-60)\/(-72))\/(-2 + (-26)\/(-12)). Give g(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 179*v - 176*v + 11 + 0 + (-2*v + v - 2*v)*(0 - 4 + 2) + 0*v + 2*v - 3*v.\nAnswer: 8*v + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1*((-2)\/5)\/2)\/(375459\/3325 + -113)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 15 - -12) + -2 - (-3 - 3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/8 (b) 1 (c) 8 (d) 2\/7 (e) -7020 (f) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 1\/12*j**4 + 2*j + 2*j**2 + 0 + 7\/6*j**3. Calculate the remainder when 6 is divided by p(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l**3 + l**2 + 2*l + 1. Suppose -2 + 5 = 3*j. Suppose 3*o + 2 = -j. What is s(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 77*v**2 + 1928*v + 82. Determine d(-25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/3*(-2 - -1). Suppose -2 = -c + 2. Let w = 4 - 2. What is the closest to 0 in c, h, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*r + 100, 26 + 66 = 5*u + 4*r. Solve 0 = -2*k + 3*t - 10, -u*k - 3*t = -20*k - 16 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 2, -4, -1 in descending order.\nAnswer: 2, -1, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.1 - -2. Let f be (1\/(-2))\/(-1) + (-15)\/(-18). Suppose -4*j + b + 7 = 0, j + 2*b + 2 = -3*j. What is the closest to j in 3, f, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5 - 6*m - 4*m - 4 - 2 - m**2. Let y be f(-8). Suppose 9*r - y = 4*r. Solve -3*l + 3 = x - r, -2*l - 4 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 2*p - 4. Let q be u(-2). Suppose -3*r + 19 = 4*z, q*z - 3*r + 2*r - 15 = 0. Suppose z*h - 114 = -2*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from {e: 1, p: 2, o: 2, v: 1, u: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10192d - 1?\nAnswer: -101930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25 + 88\/(-20) + 2\/5. What is the greatest common divisor of g and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43837 divided by 1191?\nAnswer: -43837\/1191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 304 and 3703024?\nAnswer: 3703024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -14*u**3 - 86*u**2 + 88*u + 43. Determine t(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 533*s**4\/12 - 827*s**3\/6 + 2058*s. What is the second derivative of j(l) wrt l?\nAnswer: 1066","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, t: 2, z: 6, l: 1, v: 1}. Give prob of picking 1 v, 1 l, 1 t, and 1 j.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4645*q**4 - 2065*q**2 - 16614523?\nAnswer: 18580*q**3 - 4130*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3860228 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q - 3 = j, 3*q = j + 3. Is 0 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5 - -2) + -17)*48\/15. Let s = v + 110. Suppose -44*y = -s*y + 226. What are the prime factors of y?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 8*h**5\/5 - 7*h**3\/3 + 8. Find the third derivative of y(u) wrt u.\nAnswer: 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a = 12*a + 48 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15404 (base 9) to base 7.\nAnswer: -42466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, w: 1, g: 7, h: 2, o: 2}. What is prob of picking 1 g and 3 q?\nAnswer: 245\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q*q*q**22*q)*q*((q*q*q*q*q*q**(-5\/6)*q)\/q*q)\/q assuming q is positive.\nAnswer: q**(-119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/((-38)\/(-304)*-8)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 1365180864.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - 4*j + 4*j)*(-11*j**3 + 101 - 101 - 5*j**3 - j**3 + 4*j**3 + (j + j - j)*(-6*j**2 + 3*j**2 + 2*j**2)).\nAnswer: 28*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.692*0.04\nAnswer: 0.02768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 2:04 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 450*b + 144878. What is p(-217)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5535 = -262*g + 224*g + 161*g for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 4*f - 76, 125 = -4*j - 3*j + 5*f + 30 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 - 18266*q**2 + 36535*q - 18268.\nAnswer: -(q - 1)**2*(q + 18268)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**4 + 751692*k**3 - 421476 with respect to k.\nAnswer: -8*k**3 + 2255076*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.40084 to 2 decimal places.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31714 + -31710. Let z = 63\/2 + -31. What is the second smallest value in z, 1\/4, r, 5\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3151 + 19979. What is the thousands digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/3800122 and 42\/1513?\nAnswer: 64602074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 = -1. Let g = u + 14. Suppose -3*c = -0*c - z - g, 3*z = -4*c + 3. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115.842825 seconds to weeks.\nAnswer: 0.0001915390625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*sqrt(3))**2 + -1 + (-1 + sqrt(75) - sqrt(75))**2 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60294137 or -60294135?\nAnswer: -60294135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4875 = 3*a - 1587, 4*i = -3*a + 6435. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + (-13 - (-1 - 16)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2*(2 + sqrt(304) - sqrt(19))*4 - ((sqrt(2299) - sqrt(2299)*-3) + -1*sqrt(76)\/sqrt(4))))**2.\nAnswer: 2010*sqrt(19) + 85516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3041706511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-8) + (-10241)\/(-10780)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3174 and 1334.\nAnswer: 92046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 1 - (-18 + 10).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {i: 1, u: 1, g: 2, c: 1, w: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {c: 8, m: 3, l: 2, i: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*t + 331861418 = 72794134. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 5:41 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 less than 19292\/915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27203*b**3 - 86*b**2 + 3*b + 58433977?\nAnswer: 81609*b**2 - 172*b + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 404883.5 millimeters?\nAnswer: 404883500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 14.73994s?\nAnswer: 14739940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 5*d + 1477, -1474 = -2*g - 0*g + 2*d. Suppose -5*q - 5*w = -1780, 4*w = 5*q - 3*q - g. Is q a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 2670*x = 2668*x - 34, -2*s + 0*s - 3*x - 23 = 0 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 1015.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**7\/1050 - r**6\/100 - 13*r**5\/300 - r**4\/10 - 2*r**3\/15 + 558*r**2 + 2. Suppose u(c) = 0. What is c?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(-3\/5)*s**(1\/6))\/((s*s**(-7))\/s**(-8)) assuming s is positive.\nAnswer: s**(23\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.15 + 3.22. Which is the third biggest value? (a) 0 (b) 0.054 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 187 and 2.\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -16*d - 65. Suppose -3 = -2*l + 2*a + 15, -l + 12 = -2*a. Let t(c) = -2*c**2 + 5*c**2 + l - 3*c + c**2 + c**3. What is t(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 less than 11?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 1ce8a?\nAnswer: -1ce8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from {q: 2, j: 2, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*11 + (14 - 13). Let o(b) = -b + 9. Let l be o(8). Suppose 4*x - 18 = 2*g, -4*g + 5 = -2*x - l. Calculate the highest common divisor of c and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 41 and 0.02.\nAnswer: 0.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 278.69 + -5.69. Let j = b - 273.0253. Round j to three decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3517\/21 + 1168\/7. Find the common denominator of -5\/117 and p.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z. Let c be (-2)\/5 + (-48)\/(-20). Let i(p) be the second derivative of -1\/3*p**3 + 0 + 0*p**c - 2*p. Give i(f(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 338*t**2 + 130*t**2 - 131*t**2 as y + b*t + w*t**2 and give w.\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 53536 divided by 478\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 900 + 1877. Round l to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 622227 * -364\nAnswer: -226490628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 9 - 3 + 0*j + 6*j. Let c be z(6). Suppose r = 2*i - c, 0 = -0*r - 2*r - 8. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17806 * -0.8\nAnswer: 14244.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 45*b**2 + 86*b - 21. Let w be n(-43). Let x be w\/(-3) + -2 + -9 + 10. Calculate the greatest common factor of x and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*i**2 + 250*i**2 + 258*i**2 - 13*i**3 - 761*i**2.\nAnswer: -13*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from {c: 13, r: 6}.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -413 - -590. What is the remainder when o is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - 37 - 1 - (-2 + 0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.288 and -8.\nAnswer: 18.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319325\/10052*(-4)\/7?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -707.3991 rounded to one dp?\nAnswer: -707.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 6*b**2 + 3*b**2)*(-12*b**2 + 12*b**2 - 12*b**3 + (-4*b**2 + 4*b**2 - 3*b**2)*(-5*b + 5*b - 2*b))*(11 - 10 + 5).\nAnswer: 72*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from {y: 4, j: 1, f: 1, q: 1, a: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**4\/8 + k**3 + 2391*k**2. Let w(l) = -l**2 + 6*l + 10. Let x be w(7). Let n(h) = 2*h + 5. What is x*v(y) - 4*n(y)?\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266 smaller than 1200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65390784 is divided by 3965.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7852, 5, 1 in descending order.\nAnswer: 7852, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s + 3. Let j = -47 - -53. What is the lowest common multiple of 24 and v(j)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/(-378))\/((2\/5)\/((-27)\/90))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, l: 1, f: 2}. What is prob of sequence fs?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*w + 6 = 0, 62*u - 4*w = 66*u + 8. Let s(n) be the third derivative of -n**6\/12 - n**5\/12 - n**3\/2 - n**2. Is s(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -128 + d**3 + 98*d**2 + 4*d + 111 - 90*d**2. Determine x(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 25 + 29 = 0. Let u(m) = -m**2 - 11*m - 10. Let k be u(-10). Suppose k = 5*x - 10*x + 5. Sort y, 0, x.\nAnswer: 0, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**1\/q)\/q)**22\/(q**(1\/7)\/q)**3)**(-3\/35) assuming q is positive.\nAnswer: q**(408\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 10511856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5 times -0.1?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 55. Suppose 0 = d - 2*d + t. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((127\/((-1778)\/28))\/((-41)\/(-4)))\/1\nAnswer: -8\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4379 is divided by 1441?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 117*s**3 + 4*s**2 - 32*s - 4 wrt s?\nAnswer: 702*s + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 229131708 and 2496.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -10*v - 1. Let w(t) = 183*t**2 - 105*t**2 - 80*t**2. Calculate w(g(s)).\nAnswer: -200*s**2 - 40*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126038 and 18326?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + (-1 - -4 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 49 + -89 - (5 + -1 - -3).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: 100\/75 + ((-44)\/(-30))\/(-2)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**2 - o. What is p(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25de67 - 4?\nAnswer: 25de63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from btttqzbbzbbmmbzab. Give prob of picking 1 q, 1 b, 1 z, and 1 m.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 - r**2 + 0 - 2 + r**2 + 8*r**2 - 4*r**2 + (-3*r + 5*r + 0*r)*(2*r - 3*r - r) + 2*r**2 + r**2 - 4*r**2 + 0*r**2 + 4*r**2 - 2*r**2.\nAnswer: r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 9*m + 30 = 0. Suppose -m*s = s - 35. Suppose -j = w - 7, 0 = 4*w - 5*j - 41 - 14. Calculate the lowest common multiple of w and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 6247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1650 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 5*w - 12 = 0. Let n be (22\/4)\/(1\/w*3). What is the greatest common divisor of n and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 746\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 307093.5ug?\nAnswer: 0.0000003070935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 4:51 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119358308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 + 22. Let h(j) = -3*j**2 + j - 4. Let o(x) = 204766*x**2 - 33 + 204726*x**2 - 409516*x**2 + 3*x + 6*x. Give p*h(s) + 4*o(s).\nAnswer: 3*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 12:04 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 145808 - -2?\nAnswer: 145811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 166 + 66 = 2*z, 0 = -2*z + g + 216. Is 22 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238704449 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l, 4*d = -d + l + 215. Let g be -12 - (-194)\/6*15. What is the greatest common factor of g and d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5226129 smaller than -5226128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -560 + 625. What is the least common multiple of 2 and (g\/10 - 4)*(-28)\/(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 5 + -3 - (47 + (-29 - 18)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/3 - 78*g**2 - 2392*g\/3 - 2120.\nAnswer: -2*(g + 5)*(g + 6)*(g + 106)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21582 and 80169936?\nAnswer: 7194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k**2 - 3*k - 21. Let x = -75 + 82. Let j(y) = -3*y**2 - 4*y - 21. Let s(l) = x*j(l) - 6*d(l). What is the first derivative of s(i) wrt i?\nAnswer: 6*i - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26)\/(-12) - (-2)\/(-12). Let p be -2 - (1 + (s - 0)). What is the units digit of (-6)\/(-8) + (p - (-865)\/20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14807 - 51878 = -5*c. Let q = c - 3278. Suppose 87*v + q = 90*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6267, -12522, -18763, -24996, -31227?\nAnswer: -37462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 + -5 + 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3*d = -20, 151*s - 149*s = 5*d + 37 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 70 + 5*i - 141 + 71. Let c(w) be the third derivative of w**5\/60 - w**2. Give d(c(h)).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42804954?\nAnswer: 2, 3, 109, 21817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -14, -18, -24?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -60, -102, -144, -186?\n\"Answer: -42*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 590929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6347520731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 5*q**2 + 3*q + 2. Let x(u) = -u**3 + 2*u**2 + 4*u. Let r be x(3). Let o be h(r). What is the units digit of 5 - 4 - (0 + o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 21912 = -h + 2*t, 5*t + 17550 = 4*h. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 8544?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-270)\/(-156))\/(-15))\/(9\/12). Let v = -1 + 0.7. Let c = v + 0.1. What is the closest to n in c, 0.5, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.53, -109, -50, 33, -3.\nAnswer: -109, -50, -3, -0.53, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7*g**2 + 4055*g - 28511. Determine l(7).\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 517924 * 1.64\nAnswer: 849395.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3358649 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 24, 2, 3, -348, 12.\nAnswer: -348, -5, 2, 3, 12, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*i**6*j - 2*i**5*j**3 - 61*i**2 - 2*i*j**3 wrt i.\nAnswer: -3120*i**3*j - 120*i**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11116471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 64631, 129367, 194109, 258863, 323635?\n\"Answer: g**3 - 3*g**2 + 64738*g - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 3*y + 120, 3*h = -0*h + 2*y + 73. Let u = h + -19. Let v(d) = d**2 - 17*d + 4. What is the remainder when u is divided by v(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 7:16 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*q + 29 + 27 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**2\/2 - 11*u + 21. Let v be q(11). Solve -3*h + c + 2*c = -6, v = 4*h + 4*c + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -56, 1024, 12 in descending order.\nAnswer: 1024, 12, 1, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (8\/2)\/((-48)\/24)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from {f: 1, u: 6, y: 2, m: 3}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -1698*p - 25. Let d(j) = 2*j + 5. Calculate 3*a(w) + 15*d(w).\nAnswer: -5064*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4369996 = -u, -3*u - 13110005 = -6*c + c. What is u rounded to the nearest 100000?\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -10*p + 6*p - 3*p. Let k(v) = 3*v. Calculate b(k(f)).\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(2*b**3 + 0*b**3 + 0*b**3) - 3*b**3 - b**3 + 5*b**3 + (-3 + 3 + 7*b**2)*(-2*b + 0*b - b).\nAnswer: -22*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 4) + 0 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4917 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1594)\/16)\/(2\/12). Let f = 608 + t. Find the common denominator of f and ((-57)\/4 - 3) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 141, -2\/3, 113\/5, 3, -20, -2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 12:54 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1765\/2 + 2701\/3. Let v = 103\/6 - a. What is the nearest to v in -15, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -96421.96 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) 0.047 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjdjjejdjdene. Give prob of sequence jnj.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 634.357 milligrams in kilograms?\nAnswer: 0.000634357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5362 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 2, -42\/7897 in descending order.\nAnswer: 2, -42\/7897, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 63*p. Let a(s) = 4*s. What is a(f(k))?\nAnswer: 252*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 5*u + 10. Suppose -5 = 5*a + 20. What is the remainder when 24 is divided by o(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -18*w. Let h(j) = -19*j + 0*j + 17*j. Give v(h(t)).\nAnswer: 36*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 20. Is (-8968)\/x - 3\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12098037*f**2 - 32509156 wrt f?\nAnswer: 24196074*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 174 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) - (sqrt(272) - -3*sqrt(272)*-2))**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-52)\/8*(-172 - -6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49645\/57 + 871. What is the biggest value in y, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.04 (b) -1 (c) -1\/3 (d) -0.096\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3314 - -5617. List the prime factors of x.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -2. Let a(f) = f**2 + 3*f - 4. Let n be a(-5). Suppose -10*u = -n*u - 40. Solve k*m - m = u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -651614 - 345?\nAnswer: -652262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 2\/3, 15\/2, 1739?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.69218605 to 2 dps.\nAnswer: -12.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68040000 divided by -6.\nAnswer: -11340000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 6:31 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + d - 20 - 23 - 54.\nAnswer: d - 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -0.4. Let q = 3.02537 - -0.97463. Which is the third smallest value? (a) -2 (b) n (c) q (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5 - 12*l**4 + 48*l**3 + 308*l**2 - 270*l - 1800 = 0. What is l?\nAnswer: -5, -3, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1 (c) 4 (d) -116\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3260 (base 16) to base 10\nAnswer: -12896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8, -14, -18, -14, 4, 42, 106, 202?\n\"Answer: c**3 - 5*c**2 + 2*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1321002 - -122?\nAnswer: 1321130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39353963?\nAnswer: 11, 17, 389, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 16 - -8) + 3 + (-2 - 11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -364?\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 14*a + 1. Determine p(10).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102 - 87. Suppose -11*y = -s*y + 28. Let o(h) = 2*h + 5. Give o(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*w + 2 = 0, -5*l = 4*w + 3 + 20. Let b = -0.6 + 8.2. Let g = b - 8. What is the biggest value in l, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o + 1151. Let m(j) = 5*j**2 - 2*j. What is m(d(n))?\nAnswer: 20*n**2 - 23016*n + 6621703","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 1236455.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1408 - -3038. What is the remainder when q is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a = -5*g - 294, 2*a - 603 = -5*g. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -31 - 14. Suppose 1 - l = -2*n. Solve 0*t + 7 = n*c + t, -5*t = 5*c + 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a century?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16528060 rounded to the nearest ten thousand?\nAnswer: 16530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 0 - p**3 + 0*p - 2*p**2 + 1\/8*p**4 - 1\/120*p**6 + 1\/12*p**5. What is the units digit of z(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6036250 + 2?\nAnswer: 6036252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93 + -81. Suppose 3*s = -s + n. Solve s = 2*z - z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8836727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53227, 53222, 53215, 53206, 53195?\nAnswer: 53182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-45) + 2 + -2. Put g, 4, -11, -0.1 in descending order.\nAnswer: 4, -0.1, g, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**4\/7 + 586426*p**3\/7 - 2*p**2\/7 - 586426*p\/7 = 0.\nAnswer: -293213, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -854, -698, -528, -338, -122, 126?\n\"Answer: j**3 + j**2 + 146*j - 1002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(300\/(-690)) - 18)*-17\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -18*q**3 + 14*q - 17. Let p be (-9)\/((-15)\/40*-4). Let i(u) = -6*u**3 + 5*u - 6. Calculate p*n(b) + 17*i(b).\nAnswer: 6*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48\/70 - (38\/(-14) + 3). Let x = 18\/17 + -161\/136. Which is greater: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -13.\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10843 or -10400?\nAnswer: -10843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*p**3 + 49*p**3 - 23*p**3.\nAnswer: 51*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6271998254?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 262 (b) 1\/2 (c) 101 (d) 1 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 365\/540 - 15\/(-60). Do 0 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 52. What is the remainder when v is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66591 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (20 + -5) - (-1 - 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(102) + sqrt(102)*3))\/(sqrt(600)*-3).\nAnswer: 2*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) -2\/11 (b) -1.2 (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3204 (base 5) to base 4.\nAnswer: -12231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172171, -172169, -172167, -172165, -172163, -172161?\nAnswer: -172159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 63*n**2. Let o(m) = -35*m**2 + 13*m**2 + 20*m**2. What is d(o(x))?\nAnswer: 252*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -7.1. Let a be 6\/5*(-45)\/(-9). Let o be (3\/8)\/(a\/8). Sort 3, w, o in descending order.\nAnswer: w, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 356\/77 + -54\/11. Let x = -4 - -8. Put 1, o, x in decreasing order.\nAnswer: x, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 183*u**3 + 2*u**2 - 1. Let o be l(-1). Let r(t) = 74*t**2 + t + 7. Let m be r(-2). Let b = o + m. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*m - 369. Let j = 229 - m. Suppose 3*g - 164 - j = 0. Is 23 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -2 - -19 - (-3 + 3 + 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a decade?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/4, 0.1, -0.2, -5, -2\/73, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 7345401.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1983.241 - -1947.8. Round c to the nearest integer.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = 2*v - 3*p + 101, -9 = 3*p. Let w = v - -67. Calculate the highest common factor of w and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3057873 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 1375?\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -3569?\nAnswer: 5\/3569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4242.4 and 644.\nAnswer: 2732105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 7*c - 2*c - 8, 0 = -4*b - 4*c + 48. Let v be b\/2 + (-3)\/6. Let l(i) = i**2 - 7*i + 3. Determine l(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 80 = -3*r + 5*w, 4*r + 4*w - 96 = 0. Suppose -2*x + 2*g + r = 0, x - g = -2*x + 42. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.08 and 3407.6146.\nAnswer: 3407.5346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 106*c**3 - 5*c**2 + 3*c + 5. Is r(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from wffclil.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21524 - -21568. Sort -1, v, 2 in increasing order.\nAnswer: -1, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 194 and 8?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -35, -52, -71, -92, -115, -140?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.23815 and -2?\nAnswer: -10.4763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-16)\/(t\/(t*t**6)))**(-9\/2)*(t*t**(-2\/9))\/((t**(-1\/3)*t*t*t)\/t)*t**(2\/33)\/((t**(-3)*t)\/t) assuming t is positive.\nAnswer: t**(4670\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2) + (-1 - -3 - -2) + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.261 - 0.739. Which is the nearest to -0.1? (a) y (b) -3\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = n - 11. Let h = 1 + -1. Suppose r - 4 = h, 6*t - 2*t - r - 108 = 0. What is the remainder when t is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 56677, 113342, 170009, 226678, 283349, 340022?\n\"Answer: m**2 + 56662*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 + 74. Suppose 5*o - r = 80. Calculate the remainder when 54 is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 0*c**2 + c**3 - 8*c + 86*c**2 - 84*c**2. Let s(l) = l. Calculate -3*s(h) - x(h).\nAnswer: -h**3 - 2*h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*r - 7*r - 27*r.\nAnswer: 45*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 657980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + m - 2)*(1 + 0 + 1)*(-1 + 1 - 2).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 2\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, -2\/3, 1, 1\/5043?\nAnswer: 1\/5043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 323*c**3 - 85*c. Let q(z) = 62*z**3 - 4*z - 85*z**3 + 10*z. What is -6*g(h) - 85*q(h)?\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19744857 to the power of 1\/2, to the nearest integer?\nAnswer: 4444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -25*s + 2519. Let x be t(77). What is the biggest value in x, -2, 2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 5*a + 6 = 0, 5*d + 896*a = 891*a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/26*(-3 + (-21)\/(-5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -536 + 544. Solve 4 = -6*p + j*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 20*f**2 - 2. Suppose -5*v - 30 = r, 394*r - 392*r = -5*v - 25. Let j(y) = -39*y**2 + 4. Determine v*c(t) - 4*j(t).\nAnswer: 16*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9383 + 150065\/16. What is the common denominator of 5\/272 and u?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 10. Suppose -67 + 37 = -2*c. Calculate the smallest common multiple of c and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - 2*m - 9. Let u(j) = 3*j**2 - 3*j - 14. Let r(n) = 8*h(n) - 5*u(n). Let i be 0 + ((-2)\/(-1))\/(-1). Determine r(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27368.05t in grams?\nAnswer: 27368050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2, 244\/91, -2 in descending order.\nAnswer: 244\/91, 2, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 3*a + 1200. Suppose -3*n = -8*n + a. What are the prime factors of 16\/n + (-2)\/((-10)\/183)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, l: 5, q: 1, b: 1}. Give prob of picking 1 l, 1 b, and 1 q.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**(-31))**(-44)\/((w**5\/((w*w\/(w**7*w)*w)\/w))\/(w**(-5\/2)\/((w\/w**(-2\/15))\/w))) assuming w is positive.\nAnswer: w**(40511\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 r when three letters picked without replacement from tuxfteuxuruxu?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10440 is divided by 315?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 - -22 - -26) + -37.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10 + 14070\/2338 - 2*-2 and 4\/33.\nAnswer: 5511","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 52 = 0, -3*r = 15*p - 2*p + r + 52 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**4\/4 + 61*c + 3. Let s(p) = -78*p + 8. Let l(j) = 26*j - 3. Let i(d) = -8*l(d) - 3*s(d). Determine i(w(h)).\nAnswer: 78*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - l + 10. What is v(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 4*d**2 + 3. Let i be w(-4). Suppose 0 = i*o - 0*o + 3. Let c = 0.01 - -0.29. What is the third biggest value in o, c, 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 6:31 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41578*v - 42805 wrt v.\nAnswer: 41578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*o - 7*o + 36, -o - 2*s = -10. Let r be (o\/33 + 148\/(-88))*-14. Calculate the greatest common divisor of 6 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*o, 4*a - 5*o - 206 = -62. Let s = 163 - 155. What is the remainder when a is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 431 - 191 = 2*r, 0 = -4*t + 2*r + 1240. Calculate the remainder when t is divided by 79.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.79 + -0.01. Let i = -2417.2 - -2422. Let z = i + s. What is the third biggest value in -2\/3, z, -2\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-6))\/(((m\/(m**(-1\/4)*m)*m)\/m)\/m))\/(m**1\/m)**(-47) assuming m is positive.\nAnswer: m**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -27, -58, -127, -252, -451, -742, -1143, -1672?\n\"Answer: -3*l**3 - l**2 - 7*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iucu when four letters picked without replacement from eiuxuceueei.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370 = 5*j - u + 3*u, 2*u + 134 = 2*j. Suppose 4*l = 5*m - 904, m - 48*l - 185 = -43*l. Calculate the highest common divisor of m and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 612 + -187. Let c(f) = -4 + 3 + 1 - l*f. Let p be c(4). What is p rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26.196319 * -7\nAnswer: 183.374233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4207 - 12626\/3. What is the nearest to 2 in 0.5, i, 2\/223, 1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*i - 254, -3*i = -3*z + 122 + 22. Let o = -48 + z. Suppose 2*f - 2*c = 3*c - 25, o*f - 2*c + 10 = 0. Solve f = t + 1 + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - p - 9 + 3 = 0, 5*h - 3*p + 2 = 0. Let g(o) = 1 + 0*o**3 + o + 2*o**3 + 4*o**3. Give g(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-30)\/(-35))\/((-6)\/21). Let b(n) = 53*n**2 - 4*n - 4. Is b(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a tonne in kilograms?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305652383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000292908 rounded to 6 decimal places?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 0*y**2 + 6 + y**2 + 0*y**2. What is the units digit of i(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009265 rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*-58.18.\nAnswer: -52.362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10351742 - -53150.\nAnswer: -10298592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c**2. Let g = -322 + 814. Let r(w) = 245*w**2 - g*w**2 + 246*w**2. Give r(d(n)).\nAnswer: -81*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/129 and 19\/330?\nAnswer: 14190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*p - 2*f, -p + 4*f + 47 = 4*p. Let a = -1762 - -1768. Calculate the remainder when p is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -3, 20, -5, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + (1 + 2*sqrt(1088))**2 + sqrt(170)\/(sqrt(250) - -1*sqrt(250)))*-6.\nAnswer: -26102 - 963*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.94 - -0.06. Let k = 10 - 6. What is the smallest value in 0.3, k, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34514919*y**4 + 11541247*y wrt y.\nAnswer: 414179028*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -230*p**2*u + 2*p**2 + 46*p - 61396*u wrt p.\nAnswer: -460*p*u + 4*p + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*t**2 + 55 - 55)*(-4*t + 2*t + 3*t).\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4770, 17979, 39992, 70809, 110430, 158855, 216084?\nAnswer: 282117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 395*r - 1281. Calculate j(7).\nAnswer: 1484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -q**4\/4 + q**2 + 3*q - 1. Let z be r(-3). Suppose -z = -4*o - d, 3*o + 8*d = 3*d + 1. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126, -251, -386, -537, -710, -911?\nAnswer: -1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3486*a - 3484*a = -14 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 3*u + 26483, -u = 13*x - 11*x - 13239. What are the prime factors of x?\nAnswer: 13, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*h = -2328*h + 29445 + 19328 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1728) - (sqrt(1728) + 1 + sqrt(1728)))**2.\nAnswer: 48*sqrt(3) + 1734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-366)\/549)\/((1\/(-3))\/(3\/(-198)))\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(3*2\/6). Let m be u\/6 - (0 - 2). What is the second biggest value in 3, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n - 34. Let v be u(8). Let w(i) = -i - 13. Let r be w(v). Suppose r*z + 2*x - 10 = x, 0 = x. Solve 3*l + 2*t = -0*l - 4, 0 = -z*t + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1*sqrt(300) - sqrt(300) - (-1 + 0 + sqrt(3))) + 1*sqrt(15)\/sqrt(5) + 3)**2.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 382491 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21, 13856, -1?\nAnswer: 13856","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54557029.\nAnswer: 17, 157, 20441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 91*i + 463. Calculate l(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.525638ml to litres.\nAnswer: 0.003525638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * 0.4174\nAnswer: -0.012522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-70)\/2)\/(3 - -5) and (-333)\/(-966) + 7 + (-329)\/49.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 5 (c) 107 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -7 - (11 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(-2)*156\/21. Let k be (-57)\/(-5)*(o + -21). Is 56 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**3 + 35*u**2 - 1160*u - 203. Calculate t(17).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3, 5*l + 7 = -3*z + 7*z. Let u be (-6)\/4*(-4)\/z. Suppose 6*r = r, 0 = -u*c - 5*r + 54. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*w - 32 = 0. Let x be (-12)\/w*(-2)\/3. What is the second smallest value in -5, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 22*p**2 - 2*p - 4. Let y(r) = r**3 + 43*r**2 + 5*r + 7. Give -7*i(v) - 4*y(v).\nAnswer: 3*v**3 - 18*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.52292057 rounded to 2 decimal places?\nAnswer: 2.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.545 + 6.545. Which is the closest to -1? (a) k (b) 1\/2 (c) -4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 2.855.\nAnswer: -2.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + 29. What are the prime factors of f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.46013215 - 31.1.\nAnswer: -8.63986785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 1. Let s be o(0). Let h = -572\/5 + 115. Which is the smallest value? (a) s (b) h (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = 5*m - 3*u, 236 = 4*m + 2*u + 84. Solve -34*o + 9 = -m*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 736, 1121, 1502, 1879, 2252, 2621?\n\"Answer: -2*r**2 + 391*r + 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2504235031 from -5935.\nAnswer: -5934.7495764969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -35 times -0.33\nAnswer: 11.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 256970?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*h**2 + 10*h**2 - 15*h**6 + 3*h**6 wrt h?\nAnswer: -1440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 10 - 2 = 0. Let n = f - -5. Factor 6 - j - j**2 + 0 - 2 + j**n - 3.\nAnswer: (j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 9*m + 17. Let i be c(-10). Suppose -i*g + 4*g + 67303 = 2*s, -10 = -5*s. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16121084 divided by 14.\nAnswer: -1151506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37*m**2 - 40995*m + 16034548 wrt m.\nAnswer: 74*m - 40995","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*h = 126, h + 2 = -1. Let g = k + 54. Suppose 0 = -3*c - 2*j - 51, 3*c - 4*c - 3*j = g. Is c > -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence peqp when four letters picked without replacement from {e: 1, p: 2, q: 1, x: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 p when three letters picked without replacement from ppppdpdd?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*x + 10 = 0. Suppose 0 = -3*d + 4 + 5. What is the second smallest value in d, x, -3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 12\/72 + (-10)\/(-12) - -14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-5)\/1) + 42\/(-27) - (18 - 18).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = -5*l + 1107. Let d = -418 - -464. What is the remainder when l is divided by d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1714692?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q = -3. Let k = 3.58 - 3.28. What is the smallest value in q, k, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 21 = 5*l. Suppose 0 = s + l*h - 77, 23 = s + 5*h - 62. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 7*y**2 - 5*y + 2. Let x(b) = -2*b**3 - 14*b**2 - 10*b + 3. Let s(h) = 9*k(h) - 4*x(h). Suppose -6498 = 7*c - 6463. Calculate s(c).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-8\/5))**12\/(z\/(((z**(-7)\/z)\/z*z)\/z*z))**(-4\/7) assuming z is positive.\nAnswer: z**(-72\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + l - 5*l)*(6*l**3 - 24*l**2 + 24*l**2).\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-49 + 9 - 7 - 1 + 48 + 35661*d**2)*(2*d - 3*d + 3*d) to h*d**3 + i*d**2 + r*d + u and give h.\nAnswer: 71322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 5 = 2*k + 2*z, 3*z = 3. Which is the nearest to k? (a) -0.4 (b) 3 (c) 4\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382347?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-1\/3)\/g*g*g\/(g**(-7\/5)\/g*g))\/(g\/(g*g*g*g\/g**(2\/7)))**(2\/125))**(-34) assuming g is positive.\nAnswer: g**(-366826\/2625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -570, -2287, -5160, -9201, -14422?\n\"Answer: -2*v**3 - 566*v**2 - 5*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*z**2 - 7*z**2 + 8*z**2)*(3 + 16 + 5).\nAnswer: -288*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -138 + 144. Let x(r) be the first derivative of 0*r + 7 + 0*r**2 - 9\/4*r**4 - 1\/2*r**i + 9\/5*r**5 + r**3. Solve x(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*s + 40 = 25*s. Let v(i) = -5*i + 2 + 0*i**2 + 3 + 3*i**2 - i**3. What are the prime factors of v(s)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vffvfqfpcfvfefcfff. Give prob of picking 1 v, 1 q, and 2 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 21 = 5*i, 2*i - 2*l - 16 = l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.04482 not equal to -129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 826707*s**2. Let b(f) = -2*f. Give b(v(a)).\nAnswer: -1653414*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1850 + -1193. Is 2674\/18 - (-292)\/j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1212*t**3 - 4*t**2 - 6*t - 18. Let y(p) = -1211*p**3 + 3*p**2 + 5*p + 15. Determine -6*y(b) - 5*z(b).\nAnswer: 1206*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -132*h**3 - 28*h**2 - 51*h + 1. What is a(-2)?\nAnswer: 1047","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 35 = -5*t, -t + 5*w + 28 = 3*t. Suppose 0 = 16*m - 21*m + 90. Calculate the remainder when m is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44\/6*((-171768)\/16)\/(-17)?\nAnswer: 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 215441?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/14 + ((-517)\/(-33))\/(28\/(-12)). Let z(k) = -k**3 - 5*k**2 + 15*k - 17. Calculate z(p).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97507 and 6463?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -65. Let u = 183 + -213. Let y = u + f. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7*y - 659 = 2*y, 2*w + 709 = -5*y. Let o = w - -971. What is the remainder when o is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r**4 + 14120*r**2 - 5387*r - 305780980 wrt r?\nAnswer: 8*r**3 + 28240*r - 5387","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101111111 - -110010?\nAnswer: -1000101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 - 13*c - 6. Let t be q(-6). List the prime factors of 80 + -1 + t + -7 + 7.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q - 2. Let u be a(3). Let i be u\/(-15) - 17\/(-21). What is the nearest to -1 in 4, i, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*r - 2*r - 5*s, 8 = 2*s. Suppose 2*o + 16 = 4*p - 2*o, -r*p = o + 10. Let j = 3 + p. Solve 0 = -j*n + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rarh. What is prob of sequence rar?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 8*r = 5*r - 530, 4*c + 4*r - 2056 = 0. What is the remainder when c is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 + 178041443541\nAnswer: 178041443541.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 - 85 = -2*c, -128 = -2*u - 4*c. Are u and 56 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 8*k**2 + 20. Let p(n) = 17*n + 2. Determine p(s(c)).\nAnswer: 136*c**2 + 342","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.7 - 15. Which is the closest to 2\/7? (a) 0.4 (b) j (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1 (c) 15 (d) 3\/2 (e) 0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - d**2 - 2*d - 2800000. Suppose 0 = -4*t + 22 - 66. Let x = -11 - t. Let j be h(x). Round j to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*0.20124.\nAnswer: 0.060372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 14.43301 hours?\nAnswer: 51958.836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 103, 217, 349, 505, 691, 913, 1177?\n\"Answer: f**3 + 3*f**2 + 98*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + -2 - (-2 + -5). Suppose -144 = -l*a + a. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 626.4 rounded to the nearest 10?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 32 (b) -4 (c) 0.1 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4\/13 - -3\/52. Suppose 199*f = 198*f - 2*t, t = -3*f. What is the biggest value in -5, k, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.74 - -1.94. What is the closest to -2\/3 in -3, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 174*y**2 + 986*y - 3561. Determine b(-168).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 11) to base 12.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by -8?\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 3*y - 6. Let a be q(-4). Let x = 112 + -66. Let v = x - 18. What is the greatest common factor of a and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -273459\/11 - -24857. What is the common denominator of (-394)\/127 + (-1 - -4) and u?\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*g + 8 = 0, u - 2*g + 1 = 0. Does 2 divide 22\/u - 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - d + 42 = -3*d, -43 = -3*j - 2*d. Calculate the common denominator of 35\/14*1*j and -37\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8320534162 from 10553.\nAnswer: 8320544715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 69153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2482309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 418 + 1590. What is the second derivative of -28*d**5 + h*d - 278*d - 13*d**5 wrt d?\nAnswer: -820*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 20) + -53 + 65 - -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x + 41. Let m(u) = -2*u + 39. Let j(a) = 2*d(a) - 3*m(a). Let b(i) = 3*i - 4. Let z(g) = 2*g - 3. Let t(p) = 3*b(p) - 4*z(p). Calculate j(t(h)).\nAnswer: 2*h - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 2 = -3*q - 13, 2*w - 19 = 5*q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4187088 from -19587376.\nAnswer: -23774464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 3. Let y = -5 + f. What is the nearest to -0.1 in -1\/2, y, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -160, -5, 0, 493, 2, 1, -4 in increasing order.\nAnswer: -160, -5, -4, 0, 1, 2, 493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v. Suppose m - 4 = -3. Let u be p(m). Suppose 4*f - 20 = 4*d, u*f = 2*d + 7 + 13. Solve -3*g - f - 5 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 1. Let c be f(-1). Suppose -3*w - c*w + 250 = 0. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165*2.\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) 3\/7 (c) 3 (d) 0.2 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*v + 11. Suppose 4 = -2*n, -5*x + 0*n + 2*n - 556 = 0. Is v\/((-16)\/12) - x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 295, 372, 411, 394, 303, 120, -173, -594?\n\"Answer: -3*n**3 - n**2 + 101*n + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 225395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/12 and 101\/188?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 176 + 1. Suppose -2*i - 4*b - 3 = -d, 2*i - 209 = 3*b. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -46, -0.9, 1\/3, -0.1, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 971222 a multiple of 420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143434174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 11*i - 18354 = -5*c, -9183 = -i - 4*c. What is the greatest common factor of i and 206?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 65*m + 20*m - 58*m = -6210 for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -3, 134, 3 in descending order.\nAnswer: 134, 3, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194722449?\nAnswer: 3, 5011, 12953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120886 divided by 2687.\nAnswer: 120886\/2687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24852\/(-1744) - 6565\/(-468)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 74*s**2 + 1336*s + 348. Calculate m(42).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2. Let j be 77\/132 - 2\/8. Let q(w) be the second derivative of 0*w**2 + j*w**3 + 0 - w. Give n(q(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59236680?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 52343050 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/5 - 64*w**2 + 5396*w\/5 + 2416.\nAnswer: (w - 302)*(w - 20)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -89 + 3?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + -3 + sqrt(13)*-4 + 0.\nAnswer: -3*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 30 + 21)*(2 - 2 - 3*d**2)*(-d**2 + 150*d + 0*d - 3*d).\nAnswer: -69*d**4 + 10143*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-five sixths of a week?\nAnswer: 92400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 80\/12)*-3. Let w be (-12)\/45 - c\/20. Let b = 0.27 + -0.32. Which is smaller: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 12 = 0, 3*z - 8*z = -3*i - 37. Suppose -240 = 2*g + g - 2*o, -3*o = z*g + 381. Does 5 divide (-6)\/10 + g\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/42 and 23\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 0 - 5) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 31*w**2 + 32*w**2 - 3 + 0. Suppose 5*d - 11 = -26. Is k(d) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36195549 or 36195545?\nAnswer: 36195545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1014 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*z - 15. Solve z = 4*o + 29 - 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24291 + 24290. What is the nearest to -2 in k, -2, 3\/368?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-12))**19\/((m\/(m*m\/(m\/m**(-15\/7))*m))\/((m*m*(m*m\/(m*m\/m**(-13\/6)))\/m*m)\/m)))**(-39) assuming m is positive.\nAnswer: m**(125749\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 9*i + 3. Give u(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 19*g + 18. Let r be o(9). Let v(x) = x**2 + 2*x + 6. What is the remainder when v(-6) is divided by -3 + (-150)\/(-54) - (-164)\/r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1672326 is divided by 836162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, f: 4, y: 1, i: 7}. Give prob of sequence iif.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 20*f - 9*f - 1 - 3 - 3. What is the units digit of l(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10, -49, -124, -241, -406?\n\"Answer: -i**3 - 12*i**2 + 4*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, 19795, 2, 0.2, -4, 2\/45?\nAnswer: 19795","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + b**2 + b. Suppose -24*f + 32 = 128. Let o(r) = 7*r**3 + 4*r**2 + 4*r. Determine f*q(j) + o(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + 9 + (-19 - -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37882 + -1363601\/36. Find the common denominator of v and (-15 + 25 + 660\/(-64))*246\/(-15).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -229, -965, -2191, -3907?\n\"Answer: -245*p**2 - p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**4 + 495 - 479 + y**3 + 5*y + 2*y**4 to a*y**2 + h*y**4 + m*y + w*y**3 + s and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*u - 3*r, -5*r - 14 = 3*u - 2. Let j be 12\/(-30)*(-10)\/(-54). Is u at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*b - 4*b - 4 = 0, -4*b - 24 = 3*d. Let f(q) = -5*q. Let m(k) = k. Determine d*f(o) - 22*m(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -509*d - 7749. Give w(-15).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.87 - -0.33. Let a = -0.8 - t. Sort 3, 0.4, a in ascending order.\nAnswer: a, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -8*j**2. Let u(a) = 201*a**2 + 213*a**2 - 598*a**2 + 197*a**2. Give u(p(q)).\nAnswer: 832*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3336627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g - 25*g - g - 18*g + 8*g.\nAnswer: -58*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11285781569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a week in minutes?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1694 and 7.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 6:34 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 661387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 57\/(-21) + 4\/(-14). Suppose -4*l + 48 = -4*h, -l + 3*h + 16 = -0*h. Suppose y = a + a + 7, -y + 3*a = -l. Put 3, y, n in descending order.\nAnswer: 3, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 2:20 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 260*b**2 - 1092*b + 828.\nAnswer: 4*(b - 3)*(b - 1)*(b + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 28*r**2 + 5*r - 43. Is 110 a factor of l(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 476, 972, 1444, 1892, 2316, 2716, 3092?\nAnswer: 3444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r**2 - 1. Let p(u) be the first derivative of -48 - 1\/2*u**2 + 0*u. Calculate q(p(v)).\nAnswer: -5*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 742, 1497, 2252, 3007, 3762, 4517?\n\"Answer: 755*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 3963122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide (-4)\/(-14) - 691\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + 0.1. Let x = -13 - -13.5. Which is the closest to 0? (a) w (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - v + 1. Let z be i(2). Let t = 4 + -4. Suppose -4*b + t*b + 8 = 0. Calculate the greatest common divisor of z and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*t = 61*t - 121*t - 106032. What is the thousands digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 18 = -4*k. Let f be (-10)\/4*16\/(-20). Suppose -4*h + f*h = -18. Calculate the remainder when h is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-158 + 158 - 58*c**2)*(-9*c**2 - 4*c**2 - 3*c**2) - 2*c**4 - 2*c**4 + 0*c**4 - c**4 + 2*c - 2*c.\nAnswer: 923*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33.56 and -3302.02.\nAnswer: -110815.7912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -54 in 1, 0, -2\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 2, d: 4, x: 8}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*t**2 - 6*t**2 + 3*t**2)*(-4*t - 2*t + 4*t) + 89 - t**3 - 89)*(3 + 0 - 5) + 0*t**3 + 0*t**3 + t**3.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1084308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84896, -169804, -254652, -339434, -424144, -508776?\nAnswer: -593324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 64*j - 26*j - 20*j - 20*j. Let f(g) = -7*g**2 + 2. Calculate x(f(d)).\nAnswer: 14*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j + 21*j + 18*j.\nAnswer: 46*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 760, 850, 1000, 1216, 1504?\n\"Answer: w**3 + 24*w**2 + 11*w + 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 6*m**2 - 8*m + 1. Let o(t) be the second derivative of t**3\/6 - t**2\/2 - 1546*t. Calculate -10*o(w) + q(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + g**2 - 1\/4*g**3 - g.\nAnswer: -g*(g - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*x = -34*x - 53 - 22 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 - 4*n**3 + 5*n**3 + (-2*n**2 - 2*n**2 + 7*n**2)*(-2*n - 4 + 4) + 5*n**3 + 3*n**3 + 8*n**3.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(272) + -2 + (sqrt(272) + sqrt(272)*2 + -3 - sqrt(272))**2)*6.\nAnswer: -264*sqrt(17) + 6594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**2. Let x(c) = -41*c. Give m(x(b)).\nAnswer: 6724*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12045 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 2*q**2 - q - 2. Let g be f(3). Let m = -3 + g. Let n be ((-3)\/(-2) - 3)\/6. Which is smaller: m or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-22)\/33 - (-25624)\/72*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362937 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1560*14.\nAnswer: 21840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-3))\/((j\/j**(2\/5))\/j))\/((j\/(j**0*j))\/j**(1\/8))*((j\/(j**(-2)\/j*j))\/j)\/j**6*(j\/j**0)**48 assuming j is positive.\nAnswer: j**(1701\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.5 + -0.5. Let c = -351 - -443.8. Let l = 93 - c. What is the smallest value in l, -2\/11, o?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*m**3 - 15*m**3 - 2*m**2 + 0*m**2 - 21*m**3 + 53*m**3 + 4*m - 5 to d*m**2 + i*m + x + r*m**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/2 and -2079 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 10:10 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 4*s + 2. Let f be q(5). Let r be 4\/(-4 - 1 - f). What is the tens digit of ((-15)\/r)\/((-3)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 323.42 or -87?\nAnswer: 323.42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*x - 3*w, -3*w - 1 = -2*x - 0. Solve 11 = -5*r - 3*z, -x*r - 2*z - 2*z - 13 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a - 52. Let v be z(-21). Suppose -910 = -v*u + 9*u + 2*h, -5*u + 2310 = 2*h. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l**4 + 5*l**2 + 3*l**4 - 6*l**2 + 8*l**3 to u*l + q*l**2 + m*l**4 + x + a*l**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -17\/5. Which is the closest to 1\/4? (a) p (b) 2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 414 + -401. Suppose -6 - 2 = -2*b. Solve -b = -3*x - l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 11*z**3\/6 + 7*z**2 + z - 3. Is 12 a factor of i(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-140)\/(-34) + 16\/(-136). Suppose h*i - 2*d - 10 = i, 2*d = 5*i - 14. Suppose 320 + 201 = i*y + f, -2*y - 2*f + 524 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + 5. What is the highest common factor of 52 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 630*n**2 - 30*n - 379. Let q(p) = -1259*p**2 + 66*p + 759. Let s(u) = -11*o(u) - 5*q(u). What is the derivative of s(i) wrt i?\nAnswer: -1270*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c + 8. Let w(d) = d - 1. Let q(j) = 2*w(j) + x(j). Let o be q(-9). Let a = o + -8. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1094 - 1091. Let d = 155 - 95. Let l be (8\/d)\/((-1)\/5). What is the nearest to 1\/2 in 0.3, q, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 40\/17, -2 in increasing order.\nAnswer: -2, -1\/5, 40\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/4029 - -12101\/28203. Which is the closest to 93\/11? (a) -2\/7 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 558 and 44888?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-3)\/(-9))\/(3\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110001 (base 2) to base 12.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**4\/6 - 440*j**3 - 1661513*j**2\/6 - 550761*j + 828120 = 0.\nAnswer: -1608, -1030, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 5*b**2 + 3*b**2)*(-1 + 2 + 2)*(8*b - 4 - 7*b + 1).\nAnswer: 3*b**3 - 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 8*o - 14. Let c be v(-4). Find the second derivative of -1 + 431*r - 3*r**3 - 485*r + 0*r**2 + 3*r**c wrt r.\nAnswer: -18*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5563 - 1405 = 3*k + 3*g, -k = 4*g - 1389. Suppose 0 = 4*v - 9*v + k. What are the prime factors of v?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453219899.\nAnswer: 11, 23, 162853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a**2 - 2 - 3*a**2 - a + 5. Let p be (2\/(-5))\/(3\/(-15)). What is the remainder when 51 is divided by y(p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40122 and 162.\nAnswer: 120366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-9\/10)\/m**(-15) assuming m is positive.\nAnswer: m**(141\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 3. Let a be d(7). Suppose -b + 0*b + a = 0. Let m be ((-6)\/(-14))\/(6\/b). Is m less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b - 21. Give s(11).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (28\/(-6))\/(18\/(-27)). Calculate the greatest common divisor of s and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 81388\/61 or 1335?\nAnswer: 1335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 135, 203, 269?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -185678 less than -185652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 37. Calculate the remainder when 48 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42434057.\nAnswer: 17, 23, 41, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (57720\/(-13))\/2 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 61911 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 10*h + 60. 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: Let p(k) be the second derivative of k**4\/6 - k. Let h(x) = 5*x**2. Calculate h(p(f)).\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)*-1 + sqrt(85))*2 + -6*(sqrt(85) + sqrt(85)*-3))\/(-4*1*(sqrt(720) + sqrt(720)*1 + sqrt(720) + sqrt(720))).\nAnswer: -sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8*(-6)\/(-8)*-1. Suppose -3*t = -l*t + 147. Suppose -5*r + t = -1. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 22876*m - 1527. Is k(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 64332 and 1.\nAnswer: 64332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10719 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**(-2\/5)*r)\/r)\/(r*r*r\/r**3)*(r**(2\/5))**34 assuming r is positive.\nAnswer: r**(71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11284\/299 - (-474)\/1817\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -34*i**2 - 7*i. Let k(j) = -23*j**2 - 5*j. Calculate 7*k(d) - 5*u(d).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**2 + 20527305*j = 0.\nAnswer: -6842435, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -73, -70, -67, -64?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*l**3*m - 11*l**3*y - 9*l**2 - 143463*l*m**2*y - 12065*l*m**2 wrt y.\nAnswer: -11*l**3 - 143463*l*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c + 66 + 82 - 150.\nAnswer: 14*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/6 - 2\/6. Let g(w) = w + 8. Let c be (-3 - 7)*(-6)\/(-15). Let a be g(c). Which is smaller: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56265\/2046*72\/20.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -2054042, -1.\nAnswer: -2054042, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79765?\nAnswer: 5, 7, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-4 + 3 - -1) - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(396))\/(sqrt(36)*-5 - (sqrt(144) - sqrt(4))).\nAnswer: 9*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8310)\/36564)\/((-10)\/(-11))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*u**5 - 114*u**4 + 4*u**3 + 29024*u wrt u?\nAnswer: -1460*u**3 - 1368*u**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 20, 0*y + 3*y + 23 = -2*n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 615353?\nAnswer: 19, 139, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 + 227395976*l\/5 - 6463616237624072\/5.\nAnswer: -2*(l - 56848994)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, e: 4, a: 1, p: 6, z: 3}. Give prob of picking 1 v, 2 z, and 1 p.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 277.397 + -15.397. What is the nearest to 0 in u, -1, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116515271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6*-12*4\/(-72)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 672 (base 8) to base 15.\nAnswer: 1e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 12.6. Let j = g - -1.6. Which is the nearest to j? (a) 1 (b) -0.5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 2 (c) 1\/3 (d) -0.6 (e) 2\/4621\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 802832460?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 47126.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -817691\/54 + 15140. What is the common denominator of 53\/102 and m?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.339058 nanometers to millimeters.\nAnswer: 0.000000339058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 93434.96 tonnes in nanograms?\nAnswer: 93434960000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 2, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*((0 + 2 - 3)*(-1 + 6 - 3) - 4 + 4 - 4)*(-6*g + 12*g - 17*g).\nAnswer: -132*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5519973251 to five dps.\nAnswer: 0.552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192 = 4*g - 237 + 381 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 4. Suppose -3*i + 27 = -15. Suppose -10 - i = -4*j. Calculate the remainder when j is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 5*u**5 - 7040*u**4 + 3237510*u**3 - 534638720*u**2 + 28836696245*u = 0.\nAnswer: 0, 133, 571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 4. Let b be y(0). Suppose 62 = 5*r - b*r. What are the prime factors of r?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.280356 weeks in nanoseconds?\nAnswer: 2588759308800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 12*v = 14*v, 6*o + 4*o - 5*v = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -22925162\/3 equal to -7641721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -0 - 12, 2*t - 2*o = 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**2. Let j(x) = -3214528*x. Calculate j(z(p)).\nAnswer: 16072640*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9968 divided by 5819\nAnswer: -9968\/5819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -789922 + 2767797. Let j = 3133875 - n. What is j rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from quqquqqqequuuuueaq. What is prob of sequence eqeu?\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4350401 + -10?\nAnswer: 4350351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*a**3*s**4 - 5*a**3*s + 23*a*s**5 - 25*s wrt s?\nAnswer: 84*a**3*s**2 + 460*a*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/12 < 2364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 525255977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 848 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 605*q - 24958 = -389*q + 5856 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40160 equal to 40160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 1370 = -4*w + 9*w, -3*w = -4*x + 1817. What is the greatest common factor of 315 and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1266323 + -2\nAnswer: -1.8733677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/14)\/(24*13\/(-10920)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5835*f + 8058*f + 1 - 4640*f)*(-f - 2*f + 5*f).\nAnswer: -4834*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 9*k + 933. Let x be b(27). What is the highest common divisor of x and 1323?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5066?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14257394 is divided by 1362.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/1*(60\/(-4) - -16)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -16*t - 34. Let p(r) = 46399*r. Calculate p(x(d)).\nAnswer: -742384*d - 1577566","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (4 - 0) + -42. Let r = x + -19. Let i = r + 41. What is the third biggest value in i, -2, 1\/3, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*v + 519890 = 67*v - 1716302. Does 67 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35\/2 - -69\/4. Let q be 28\/13 + 6\/(-39). What is the closest to r in 0.2, q, 4\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -477, -476, -477, -480, -485, -492?\n\"Answer: -k**2 + 4*k - 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(540) - (sqrt(150)\/(2*sqrt(10)) + sqrt(15)))\/((sqrt(180) + sqrt(20))\/sqrt(4)*-1).\nAnswer: -45*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**2\/2 - 42. Let j(h) = 11*h**2. Determine o(j(z)).\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6.9 (b) 7068.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1788991?\nAnswer: 1788991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 + 162 = 23*d + 82. Solve j - 3 = -n, -d = -21*j + 20*j - 4*n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 5, 13, -5 in increasing order.\nAnswer: -5, -3, 3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1808560597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 354, -5, 5 in descending order.\nAnswer: 354, 5, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**3 - 6*v**3 - 4*v**3 - 3*v**3.\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -28, 1153, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (225\/27 - 8)\/((-296)\/74592).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 8*v - 8. Suppose -5*g + 29 + 21 = 0. Let d(b) = 25*b - 25. Let z(x) = g*u(x) - 3*d(x). What is the units digit of z(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231170 rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49882, 98957, 148054, 197167, 246290, 295417, 344542?\nAnswer: 393659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 458 divide 378679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2) - (-2 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -311008 - -720008. Round s to the nearest 10000.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.9663173 weeks?\nAnswer: 162.3413064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 948 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13105889 and 314?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*i - 24. Suppose 3*n + d = 118, 0 = -3*n - 3*d + 7*d + 128. Suppose n = k - i. Is 55 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*(sqrt(242) + 0) + -2 - -4*(sqrt(242) + sqrt(242) + (sqrt(242) - -2*sqrt(242)) + -4 - (-2 + sqrt(242) + -1)))**2.\nAnswer: -1848*sqrt(2) + 106738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -46 (b) -14 (c) -2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -256516 divided by 64129.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.172613 + -0.25628. What is v rounded to three dps?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/((-36036)\/(-18312)))\/(4\/26).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 2. Let s(h) = -16*h + 13. Calculate -2*a(g) - s(g).\nAnswer: 14*g - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*m + 21 = 0, -3*m + 3 = -4*m. Let b be (13 + -1)\/((-3)\/(-2)). Let w = j - b. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from {m: 1, h: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 90250*v - 407253125.\nAnswer: -5*(v + 9025)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.867218 rounded to 1 decimal place?\nAnswer: 170.9","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -4582 + 4581. Let d be (-86)\/40 - 2\/8. Which is smaller: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 289 = w, 6*w + 2*q = 7*w - 240. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**12\/(f\/((f*(f\/(f*f**(-2\/3)))\/f)\/f*f)*f**(4\/7)) assuming f is positive.\nAnswer: f**(-271\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -637 - -652. Suppose 5*d + 40730 = n*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/7)*k**3)\/((k**(-1)*k)\/k**(-6)))\/(k**(-4\/7)\/(k\/(k**(-1\/3)*k))*(k**1)**(-19\/2)) assuming k is positive.\nAnswer: k**(347\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**4 + 1728*d**3 + 245352*d**2 - 1002240*d + 1009200 = 0 for d.\nAnswer: -290, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (156\/65)\/(0 + (-6)\/(-20)). What is the highest common divisor of r and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i. Let w(f) = -f. Let x(z) = 2*w(z) + 6*y(z). Let k = 60718 + -40771. Let j(p) = k - 19947 - 3*p. Give x(j(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-6))\/((-1)\/(-3)). Does 3 divide d\/(-2)*-5 + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 634 + -341. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.496 + -0.196. Which is the closest to i? (a) 4 (b) -2\/9 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z + 45 = 3*a, -3 = -3*a. Let f = 31 + z. Find the third derivative of f*n**2 - 2*n**3 + 2*n**3 - 6*n**4 + 4*n**2 wrt n.\nAnswer: -144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 734.93 and 2?\nAnswer: 1469.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210200022211 (base 3) to base 14.\nAnswer: -1ad26c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2767 is divided by 108?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -745 + 2164\/3. What is the common denominator of 69\/14 and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -113, -94, -49, 28, 143, 302, 511?\nAnswer: 776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -49833743, -49833752, -49833761, -49833770?\n\"Answer: -9*r - 49833734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 20021120022 (base 4) to base 13\nAnswer: 59a060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 9*a**2 - 11*a + 27. Suppose 0 = -r - 0 + 4. Suppose -4*q + q + r*k = -43, 5*q - 68 = 3*k. Calculate the remainder when c(3) is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278 = k + k + 6*b, 750 - 642 - 382 = -k - 6*b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 + 2*f**3 - 2*f**3 + (0 + 2 + 0)*(-10*f**4 - 4*f**4 + 11*f**4).\nAnswer: -7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 90 = 22. Suppose 12*o - 11*o - t = 0. What is the remainder when 271 is divided by o?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -1\/4*o**4 + 27*o + 14 + 9\/2*o**2 + 0*o**3. What is the derivative of c(h) wrt h?\nAnswer: -3*h**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 13323340?\nAnswer: -13323332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 220 - 220.03. Which is the nearest to 2\/5? (a) 0.06 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9824 and 2149?\nAnswer: 68768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1064953km to nanometers.\nAnswer: 106495300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/12)\/((-1)\/3). Suppose -3*z - m*p = 0, 3*z + 4*p = -2 - 4. Let y(w) = 3*w**2 + w**z - 2*w**2. Let a(i) = 3*i. Determine a(y(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -0.04007?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 455302810 to the nearest one million.\nAnswer: 455000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 12669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 15*d**6\/2 + 5*d**4 - 5051*d**2\/2 - 1609. What is the second derivative of o(x) wrt x?\nAnswer: 900*x**3 + 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5*v = -541 + 671, 4*v = -4*h - 104 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -61653, -121959, -182265, -242571, -302877, -363183?\n\"Answer: -60306*m - 1347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 78*v**4 + v**3 - 18*v + 348707 wrt v?\nAnswer: 312*v**3 + 3*v**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m*t**3 - m*t**2 + 4177470*m + 394875*t**3 + 2*t wrt t.\nAnswer: 12*m*t - 2*m + 2369250*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384 is divided by 97?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2.1 times 2641\nAnswer: -5546.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 18*k**2 - 1978*k + 33597. Give o(21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 85020 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-7\/4)*u*u*u*u*u\/u**(1\/3)*u*u)\/(u**(-2\/11))**(-10\/3) assuming u is positive.\nAnswer: u**(701\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 + 7 + 332)*(-r**3 + 3*r**3 - 3*r**3) to the form d + f*r**3 + h*r**2 + a*r and give f.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150393869 is divided by 92.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f**5 + 0*f**5 - 15*f**5 + (5*f**5 + f**5 - 4*f**5)*(4 + 2 - 3)*(2 - 6 - 3).\nAnswer: -51*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-6)\/51) - 5\/10. Suppose 5 = -s + 4*z - 1, z + o = 5*s. Suppose 329 = 3*i - g, -5*g + 3*g - 214 = -s*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572972930 to the power of 1\/2, to the nearest integer?\nAnswer: 23937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x + 1212. Let p be m(86). Which is bigger: p or 1559?\nAnswer: 1559","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278866441 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15482*i - 117009*i + 7 - 172114*i.\nAnswer: -273641*i + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11522?\nAnswer: 2, 7, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 + -65. Let u(y) = y**2 + 4*y + 2. Let o(p) = p**2 + 2*p + 1. Let t(i) = a*o(i) - 3*u(i). Let b(j) = -5*j**2. What is b(t(s))?\nAnswer: -45*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1294 is divided by 79.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2207 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9.053426mm?\nAnswer: 0.9053426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = -26*v + 2174. Solve d - v = -90 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 310.501 (b) -2 (c) -1\/3 (d) 2 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/12*(-216)\/126.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 350 and 35?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*a + 101*a - 263*a = 1716 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5*l**5 + 386041*l**4 - 463233*l**3 - 694865*l**2 + 154414*l = 0.\nAnswer: -1, 0, 1\/5, 2, 77207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3382660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.04 (b) -2\/141 (c) 4 (d) -0.02 (e) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, z: 1, e: 2}. Give prob of picking 1 a and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/7? (a) 70 (b) -2\/9 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 488 divide 273768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -106, -213, -320?\n\"Answer: -107*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, 2, -13, 5 in descending order.\nAnswer: 5, 2, -1, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1409 + -1408 - (1 + -23)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -916*z**4 - 915*z**4 + 758*z**3 + 4*z - 4*z + 10038*z**2 + 1834*z**4 wrt z.\nAnswer: 72*z + 4548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 41538 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 x when three letters picked without replacement from rixxaa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 * 928\nAnswer: -1392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(1\/28))\/q)\/((q\/(q*q*q**18)*q)\/q))\/(q**(-21)\/q)**(-1\/4) assuming q is positive.\nAnswer: q**(379\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45412\/2501 + 688\/41. Let j = 6683\/1708 + h. Let u = j + -16\/7. Which is smaller: -0.1 or u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93866 + 1931*o - 93866 to d*o + q and give d.\nAnswer: 1931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c - 7*c + 0*c - 9*c to the form m*c + h and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - -124 - (206 - 123)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2628.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23594? (a) -4 (b) 0 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*j + 5*j + 33*j)*(5*j - 32*j + 2447 - 2444).\nAnswer: -540*j**2 + 60*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1066.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130566 divided by -6.\nAnswer: 21761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 5\/3*k**3 + k**2 + 0 + 3*k. Is f(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 8*u**2 + 9*u. Determine m(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/((q\/(q\/q**(2\/3)))\/q))\/q)\/q*q)**36\/((q**(-1\/6)\/q)\/((q\/(q*(q\/q**(7\/4))\/q))\/q)))\/((q**0\/q)**(-3\/47)*(q**(-1\/3)\/q)**6) assuming q is positive.\nAnswer: q**(12325\/564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162 + 28 = 79*r - 126 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7765585197 to the power of 1\/2, to the nearest integer?\nAnswer: 88123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 424916, 424909, 424902?\n\"Answer: -7*g + 424923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -549220*t + 847*t**4 + 549220*t + 3*t**4 - t**2 + 2*t + t**2 + 2*t - 2*t - 2*t**4 + 4*t**4 - t**4 - 5*t**4 + (t - t + 2*t**2)*(-2 - t**2 + 2).\nAnswer: 844*t**4 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -72162 - 0.2.\nAnswer: -72162.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**3\/3 - j**2\/2 - 16*j - 13. Let t be g(5). Suppose t*z - 120 = -40. Solve z - 10 = -5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010700294714 rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*o - 15*k - 21, -5*o + 2*k - 3*k = 4*k + 2 + 18 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 5, -12\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**4 + 282*n**3 + 9*n**2 + 27 wrt n?\nAnswer: -24*n + 1692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - -6) + -14 + 40?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7*t = 2*x - 60, -5*x + 5*t + 125 = 0. Suppose 2*d - 1298 = -x*d. Let l = 39 - 8. What is the remainder when d is divided by l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -54\/7, 17, 2\/4461?\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2 (b) -49 (c) -0.1 (d) 2 (e) -2\/13 (f) 0 (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grf when three letters picked without replacement from {r: 1, f: 2, g: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 86 (b) 0.1 (c) 3 (d) -5 (e) -2 (f) 1 (g) 9\/8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4291132 and 2735207?\nAnswer: 1555925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, t: 5}. What is prob of sequence rrtt?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.34, -14, -3, 80.9 in decreasing order.\nAnswer: 80.9, 1.34, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 4. Let l(m) = -8*m + 6*m + n - 8*m - m**2 - 1. Is 3 a factor of l(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1487871, 1487870, 1487869, 1487868?\nAnswer: 1487867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 0 - 3)*(-6*t + 10*t**2 + 6*t) + 2 + t**2 - 2)*(1 - 5 + 6) to y + s*t**2 + h*t and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5, -16, -33, -56, -85, -120, -161?\n\"Answer: -3*d**2 - 2*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 4 (c) -1\/4 (d) -1 (e) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 - 17*k - 5. Let p be n(9). Suppose p*s - 16 = -0. Suppose s*b = -5*c + 188, -b + 38 = -0*c - c. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*w = 2*q - 14, -8 = -2*w - q. Let g = -7 - -12. Find the first derivative of -g*t**3 - 2 + 1 + w*t**3 wrt t.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*s + 2222 = -1061 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.28 * -0.35.\nAnswer: -0.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10 = -0*r. Suppose 0 = 2*d - 23 + r. Solve d + 1 = 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110 (base 4) in base 15?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*m = -10453 + 325185, -3*m = -3*s + 472068. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 37 - 5\/(20\/8). Let c = b + -58. Calculate the common denominator of -23\/5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2201 (base 8) to base 3.\nAnswer: -1120201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -47 + 47 - ((-1224)\/38 + 0). Let g = k - 8329\/304. Calculate the common denominator of (-132)\/(-16) - 0\/2 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 324 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2729 is divided by 1329.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from {d: 3, t: 3, v: 5}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 = -35*x + 75*x + 11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 v, and 1 m when three letters picked without replacement from {s: 12, m: 1, k: 5, v: 1}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/476 and 61\/7208?\nAnswer: 50456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**7\/2100 + m**3\/6 + 4*m**2. Let j(v) be the first derivative of u(v). Factor j(q).\nAnswer: -2*q**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(3744))\/(sqrt(128) + sqrt(128)*-4) + 4.\nAnswer: -5*sqrt(13)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 18 - 6*(-3)\/(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(0\/(-4) + 5). Let u = t + 30. What is the least common multiple of u and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3316*k**2 + 43 - 6654*k**2 + 3333*k**2.\nAnswer: -5*k**2 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/28, 3, 1\/1285, -0.3?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-704)\/(-1254) + 8\/76 - (-363)\/9\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 2:46 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 11*p**2 + 1. Let r(c) = -142*c - 458*c + 602*c. Determine o(r(f)).\nAnswer: 44*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 43*s - 38*s. Solve -1 - s = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1\/107, 36, -3\/4, 5, -0.2, -14?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 150, 3\/5, -4.\nAnswer: -4, 0.5, 3\/5, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 735.93496.\nAnswer: -735.63496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/2, 697\/12, -3, -36\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2057 + 2124. Which is bigger: 5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*b + 1754 - 15885, -5*b - z = -14123. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (5 - 17) + -15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/86 (b) -12 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 17*g**2 - 15*g + 32. Let n be a(16). What are the prime factors of ((-166)\/(-4) + 0)\/(6\/n)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -3003, 5 in ascending order.\nAnswer: -3003, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*x + 41 = 3*x, 2*x + 19 = v. Suppose 3*i + 0*i - 2*o = v, o = 5*i - 16. Solve i*a + 8 = 4*s - 17, -10 = -4*s - 2*a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -100101111001011111000?\nAnswer: -100101111001011110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35.8 - -39.8. Which is the second biggest value? (a) 1\/5 (b) 0.5 (c) 1\/4 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmmimmmmmmmmmmmmm?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -7\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.7 - 18. Let d = -5 - -4.5. What is the third biggest value in d, 3\/4, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/6*(9\/9)\/((-180)\/(-54))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**3\/3 - 5*n**2\/2 + 7. Let r be 0 + (6 + -2)*-1. Calculate u(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/9*147\/196*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 5 - 1036\/(-498). Let i = -10003\/498 - h. What is the common denominator of -11\/2 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.4506748ng?\nAnswer: 0.0000000000004506748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.363344l to millilitres.\nAnswer: 363.344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (-51 - -21) + 40 + 30.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4)*(3 - 4 + 2)*(15*o**2 + 11*o**2 + 19*o**2) + (3 - 10*o - 3)*(0*o - o - 2*o).\nAnswer: 75*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000346574322 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 67289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 166293763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**5\/60 + a**4\/2 - 5*a**2. Let g be o(13). Let v = g + 8. What is the second biggest value in -0.5, v, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 2:05 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1008 divided by -42?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2. Let u(v) = 14*v + 210. What is u(o(h))?\nAnswer: -28*h**2 + 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxcxkexkexkxkmkm. Give prob of sequence xk.\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-2\/7))**(-30\/11)*((t*t*t**(-4\/5))\/t)\/(((t\/(t*t\/((t*t*t**(-4\/5)*t)\/t))*t)\/t)\/t))\/((t**(2\/9))**(2\/31))**(-2\/7) assuming t is positive.\nAnswer: t**(-112349\/21483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8*4\/(6 + -14). Suppose -181*u + 186*u = v*q + 22, 3*u = 3*q + 15. Let j = 0 - 3. Which is the third biggest value? (a) u (b) -2 (c) -5 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1232311.\nAnswer: 151, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/14*(-4)\/(-6). Let b = -51 - -55. What is the nearest to -0.1 in b, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1014 (base 6) to base 11.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1887456, -1887461, -1887466, -1887471?\n\"Answer: -5*i - 1887451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 362 + 222. Let d be 4\/5*(-25)\/(-10). Let y be 6 + (1 - d - -3). What is the highest common factor of h and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6664881ml in litres?\nAnswer: 0.0006664881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -7. Let p(x) = -4*x + 3*x**j + x**3 - 2*x**3 + 0*x**2 + 6*x**2 + 2. What is the units digit of p(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121012102012220 - 12?\nAnswer: 121012102012201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45694 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 906407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 9) in base 2?\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19471743 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -111689 less than -0.094135832?\nAnswer: 111688.905864168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 22*r + 1. Let t be o(-1). Suppose 0 = -20*y + 19*y - 2. What is the tens digit of (-257)\/y + t\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4651 is divided by 99?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/114)\/((4\/132)\/(3\/6))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 4388\/225 and 21 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 488 = 5*r - 6*r, -4*x - 1856 = -4*r. Suppose -2*q + v + 937 = 0, 4*v - v - 1869 = -4*q. Factor -4*g**4 - q*g**3 - 4 + 8*g**2 + r*g**3.\nAnswer: -4*(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 1\/(4\/(-48)). Let y(g) = -g**3 - 13*g**2 - 23*g - 11. Let m be y(s). Solve m = -0*n - 2*n - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 179421 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 + 10.4. Which is smaller: l or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 5:59 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-520) - (-1692)\/(-3432)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -12721\nAnswer: 3816.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4936260, 4936257, 4936252, 4936245, 4936236, 4936225?\nAnswer: 4936212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/3*-1*(-9)\/30. What is the nearest to -1 in u, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14188641.\nAnswer: 3, 4729547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18667.1057 + -18662. What is f rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (56\/35)\/(2\/5). Suppose 0 = 5*b + 20, 0*b - b = c*r + 50400004. Round r to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i. Let y(r) be the third derivative of 0*r + 39*r**2 - 7\/12*r**4 - 1 + 0*r**3. What is y(o(k))?\nAnswer: 56*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 14*g + 29. Let o be c(-12). Solve 2*z = o*l - 19, -4*z = -2*l - 1 - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 2:26 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3 - 9. Let x(y) = 33*y - 1125. Let o be x(34). Let u = d + o. Solve 2*v = -u*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(((j\/(j*j\/j**(-1)))\/j)\/j)\/j*j*j)**(2\/49)\/((j*j**6*j)\/j*(((j\/j**(-3))\/j)\/j)\/j) assuming j is positive.\nAnswer: j**(-396\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n + 36*n - 59*n - 4*k = -40, 0 = -4*n + 3*k - 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*s**4 + 58*s**2 - 22*s**4 - 10 - 8*s**3 - 59*s**2 in the form h*s**3 + t*s**2 + b + o*s**4 + q*s and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 11\/34*y**4 + 0*y - 2\/85*y**5 + 0*y**2 + 27 + 0*y**3. Factor z(h).\nAnswer: -2*h**3*(h - 11)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5\/4 (b) 23 (c) 4 (d) -17732 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 10:12 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 0*f**2 + 0*f**2 - 2*f**2. Let j(c) be the second derivative of -c**3\/6 + 2*c. Give m(j(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6.4 + -802582902\nAnswer: -802582895.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + -114 + 116?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 4541*l - 8 - 5.\nAnswer: 4541*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -150616399.8 to the nearest one hundred thousand.\nAnswer: -150600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 divided by 5?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658552057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y + 3*y**3 + 10*y - 4*y**3 + 4*y**2 + 0*y**3 - 13. Calculate the least common multiple of i(5) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -3. Suppose -5 = l + 3*l + n, -4*l - 4*n - 8 = 0. What is the nearest to l in y, -0.4, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -11*o - 31. Let y(j) be the second derivative of j**3\/3 + 30*j. Give v(y(f)).\nAnswer: -22*f - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 9. Differentiate k + 7*i**4 - 4 - 2*i**4 - 2 with respect to i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28056 rounded to 2 dps?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4175 divided by 2967\nAnswer: 4175\/2967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*w + 5*t + 15 = 137*w, 0 = 4*w + 3*t + 9. Let k = 95 + 143. Suppose -q = -w*q - k. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2029, 6758, 14639, 25672, 39857?\n\"Answer: 1576*m**2 + m + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001976748 rounded to four dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 272\/(-28) + (-6)\/21. Calculate the common denominator of 95\/22 and 1125\/1110*(-2)\/j.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) + (sqrt(85) + sqrt(85)*-1 - sqrt(85))*-2 - sqrt(85) - sqrt(85))*-4)\/((-2*sqrt(120)\/sqrt(4))\/sqrt(6)) + 4)*3.\nAnswer: 12 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -16 - 1 - (1 + -15 + -6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 888675249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30247257 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 8*r**2 - 127*r - 300. Give k(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2970603?\nAnswer: 3, 330067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.89 + -2.09. Which is the second smallest value? (a) 2 (b) -1\/4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 8*s - 12. Let q be 9\/(-18)*(0 - -6). Let z(n) = -2*n**2 - 16*n - 24. Let r(d) = q*z(d) + 5*u(d). Let m be r(-8). Solve f + m = -3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -278*c**3 + 47*c**2 - 38*c**2 + 275*c**3 - 1 + 4*c**3 - 2*c**3 + 0*c**3 + (3 + 2*c - 3)*(2*c**2 - 3 + 3) - c**3 - 4*c**3 + 3*c**3 - 2 + 2 - 2*c**3.\nAnswer: -c**3 + 9*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -73246a - -3?\nAnswer: -732467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/3978 and -25\/714.\nAnswer: 27846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z = -685 + 731 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + (1835800\/134)\/100.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 301, 3, 2, -1 in descending order.\nAnswer: 301, 6, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16225.\nAnswer: 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1620 + -1612. Let b = 8 + -6. Suppose -4*p + t = -b*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 9. Find the common denominator of (-2760)\/96*(-1)\/3 and (-26)\/y*1\/8.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.18054 - 0.013891. Round x to three decimal places.\nAnswer: 0.167","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 309*o**3*r**2 + 2*o**3*r - o*r**3 - 259*o*r wrt r.\nAnswer: 618*o**3 - 6*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 100001111000001?\nAnswer: -100001111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - s + 10 = 2*l, -4 = -3*l - 5*s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/144*-12*-27.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 9*b. Is 7 a factor of c(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -2)*(-9)\/18. Let f(r) = 25*r + 1. Suppose 1 = -11*m + 10*m. Let k be f(m). Put -3, 3, k, x in descending order.\nAnswer: 3, x, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 7*b - 2*b - 4*t, b - 5*t + 29 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (0 + sqrt(5)))**2 + sqrt(5) + sqrt(5))*-5*5.\nAnswer: -50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/8 and -56\/565.\nAnswer: 4520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 21*q + 66. Calculate r(23).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (13 - (-11 - -2)) + 48?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143, -564, -1269, -2258, -3531, -5088?\nAnswer: -6929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 25*q**2 - 13*q + 22. Suppose 4*c = 3*c - 2*i - 2, -4*c + 5*i - 47 = 0. What is the thousands digit of a(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 4*k. Let f = 11 - 15. Let z be q(f). Solve 4 = 2*s - z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646057 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.01+8.005264867208\nAnswer: 7.995264867208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-9)\/(-525))\/((-3)\/(-30))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 153\/5, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 - 200*z**2 + 182 + 101*z**2 + 98*z**2 to the form g*z + i*z**3 + k*z**2 + m and give m.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (59\/(-118))\/(0 + -25 - 0). Which is the second smallest value? (a) 0 (b) i (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 6)*(229*d - 94*d - 4 + 326*d)*(-4 + 0 + 2)*(2 - 1 + 0) in the form g + b*d and give g.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9288 and 9353.\nAnswer: 86870664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m + 10. Let v(t) be the second derivative of t**3\/6 - 18*t. Let g(s) = u(s) - 10*v(s). Let x be g(4). Solve 15 = 3*q + x*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**4\/2 - z**3 + 7*z**2\/2 - 7*z + 1. What is the tens digit of v(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*b**2 + 12*b + 7*b**2 - 5*b wrt b.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/120 and -1\/4084.\nAnswer: 122520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spwszzv. What is prob of sequence zps?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*v = -40*v - 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + b145?\nAnswer: b142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5119 - -0.0042. Let a = p + 0.0807. Let g = a + -0.6. Round g to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3794600.\nAnswer: 2, 5, 18973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 39 = -11*x. Let t(k) = -3 + 3 - x + 2*k + 7. Give t(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50001031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.305464 to 2 dps.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5237549349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -u - 22, u + 20 = -u - 2*t. Let q = -5\/13 + 106\/39. Find the common denominator of 2\/u - (-635)\/(-56) and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 - 14*s + 4. Let t be d(-6). Suppose -t*b = -9*b - 3955. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96*t - 69*t - 2 - 3*t**4 + 169*t - 4*t**2 - 7*t**3 - 2 to the form c*t**2 + p*t**4 + h + n*t + r*t**3 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -8.5. Let z = 0.7 + 0.3. Let t = -0.5 + 1.5. Which is the closest to t? (a) h (b) -0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71*h**3*w**3 + 883*h**3*w - 191*h**2*w**5 + 10*h**2*w - 3*w wrt w.\nAnswer: -426*h**3*w - 3820*h**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 809025 + 1610292 = 54*k + 775017. Is k a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 256\/7 or 37?\nAnswer: 256\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13122 divided by -6561.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/9 and 30\/238439.\nAnswer: 2145951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 142 = -2*b, 0 = 5*h + 5*b - 150 - 35. Is (-36624)\/(-51) + h\/(-306) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/288*(-1980)\/825.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2 + 103443980*w + 103443978 = 0. Calculate w.\nAnswer: -51721989, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**3\/11 - 25686*k**2\/11 - 102770*k\/11 - 77082\/11 = 0?\nAnswer: -3, -1, 12847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3880, -13050, -28334, -49732, -77244, -110870?\nAnswer: -150610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/25)\/((-4)\/10). Which is smaller: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1967*c*s**4 - 54*c*s**2 + c*s - 50*c + 15*s + 38 wrt s.\nAnswer: 23604*c*s**2 - 108*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 17*n - 3*n - 51 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51325.70003 + 51326. Let b = f + -0.3. Round b to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -1\/12*g**4 - 1\/3*g**3 + 0 - g**2 + 0*g. Let r be q(-2). Solve -r*j - 2*j - 3*k = -6, 10 = -5*j + 5*k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 252*g + 1. Let p(c) = -788*c - 4. What is -16*a(y) - 5*p(y)?\nAnswer: -92*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*g - 89*g = 196. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -4 - (-17 - (-20)\/2). Let q = -0.87 - -0.9. Sort 3, m, 0.4, q in increasing order.\nAnswer: q, 0.4, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*l - 8 + 0*l - 42*l + 8.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111111 (base 3) to base 5.\nAnswer: 242422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 324665.52 to the nearest 1000.\nAnswer: 325000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 53?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**4 + 1056*q**3 - 85336*q**2 + 2064480*q - 15288100 = 0 for q.\nAnswer: 17, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -372 divided by -93.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 749*o + 16 = 752*o, -38 = -3*i - 0*i - 7*o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.1 + -10. Which is the second smallest value? (a) 1 (b) j (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -226624 + -662?\nAnswer: -230616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -769.491617 to one decimal place.\nAnswer: -769.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000045418148 rounded to seven dps?\nAnswer: 0.0000454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2576717 is divided by 2347.\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 579956 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + -3 - (-25 + 5)) + (36 - 44)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 20 + 14*l - l**2 + 2*l**2 - 3*l**2 - 11*l + 5*l. Determine p(10).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 145972, 145974, 145976, 145978?\n\"Answer: 2*u + 145970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.01331221?\nAnswer: -0.001331221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 8:54 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*p**4 + 2*p**3 + 6289*p**2 + 18144 with respect to p.\nAnswer: 12*p**3 + 6*p**2 + 12578*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 351316 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*a**5 - 120*a**4 + 8299*a.\nAnswer: 1000*a**3 - 1440*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1099*o**3 + 73*o**3 + 3193*o**3 + 273*o**3.\nAnswer: 4638*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.1 + 43.1. Let o = 38.99999901 - d. Round o to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*a - 544, 0 = -3*g + 3*a + 225 + 177. Does 69 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/(4\/(-40))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.41899398 to 0 decimal places.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**4\/6 + 4*h**3\/3 + 3*h**2 - 12. Solve n(i) = 0 for i.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 p when two letters picked without replacement from {x: 5, p: 1, t: 4}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -255568961 at most as big as -255568962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + 39 = 156. Let k(z) = z**2 - 9*z - 5. What is k(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 3. Suppose -5*y + c*y = 172. Suppose -22 = u - y. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12114067 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3625, -7256, -10887, -14518, -18149?\nAnswer: -21780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-6))\/(1825\/16425))\/((-3)\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 387391563 to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8065788 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**4 + 3*f**4 + 2*f**4 + (-4*f + 3*f - 2*f)*(0*f**3 + f**3 - 3*f**3))*(4*f - 2*f + 8*f).\nAnswer: 80*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88967*l - 266860*l - 1 + 3 + 88970*l - 2 + 88945*l.\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*g = -27. Suppose -g*s = -6*s - 150. Suppose s = 7*x - 62. What is the smallest common multiple of 8 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 30 = -5*s, 203*s - 199*s - 24 = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 122 + -37. What are the prime factors of m?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/1066 + -216\/53833. Let l = 152\/101 + d. Factor 0 - 9\/2*w + l*w**2.\nAnswer: 3*w*(w - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o + 9*o + 24*o + (0 + 0 + 1)*(1 - 3*o - 1))*((0 + 1 + 1)*(0 - 3 + 5) - 2 + 3 - 3) in the form u*o + n and give u.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4092826\/1239 + -9910\/3. Let z = 95435\/9912 + x. Find the common denominator of z and 1 - 67\/(-16)*-1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03, 7\/3, -781?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 153, 3377, 12755, 31365, 62285?\n\"Answer: 513*i**3 - i**2 - 364*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5 + -2*sqrt(10)\/(sqrt(2) - (sqrt(4)\/sqrt(32) - sqrt(2))))**2.\nAnswer: 80*sqrt(5)\/7 + 1300\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -11915730 to the nearest 100000.\nAnswer: -11900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3189593 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 12, w: 7}. Give prob of sequence ww.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -t - 607, f - 2*t = 358 - 974. What is the units digit of (-6)\/(-18) + -1 - f\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**5\/15 + 10*t**2. Let r(n) = -5*n**2 + 11*n**2 - 7*n**2. What is r(y(d))?\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**3 + 6*y**2 + 11*y + 4. Let m(x) = 10*x**3 + 18*x**2 + 33*x + 11. Let d(z) = 21*g(z) - 6*m(z). Solve d(a) = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35565520 to the power of 1\/2, to the nearest integer?\nAnswer: 5964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + 0*k + 2*k)*(102 - 102 - k + k + 3*k - 2*k + (2 + 2*k - 2)*(3 - 3 - 2)) to f*k + w*k**2 + m and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**6\/b)\/b*b**(-2))\/((b*b\/b**(-1\/2))\/(b**(-2\/7)*b)))\/(((b*(b\/b**(-2))\/b)\/b**(2\/17))\/(b\/(b**(1\/2)*b)*b**(-2\/7))) assuming b is positive.\nAnswer: b**(-292\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + 14)*((-28)\/(-264) - (-4)\/(-48)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 992.243 litres to millilitres.\nAnswer: 992243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*u - 3. Let m be (-14)\/u*(-30)\/(-105). Which is the closest to m? (a) 0.4 (b) 0.3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**2*l**2*z - 849*f**2*l*z**3 + f**2*l*z - f*l + 18*l**2*z**3 + 3797*l**2*z**2 - 2*l**2 wrt z.\nAnswer: -5094*f**2*l + 108*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43754550 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5610758357*j + 2*j**2 + 5610758357*j.\nAnswer: 2*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10295091, 10295086, 10295081, 10295076, 10295071?\nAnswer: 10295066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2)*c*c\/(c\/((c**(-2\/9)*c)\/c))*((c**(-9)\/c*c)\/c)\/(c*(c**(1\/6)*c)\/c)*((c\/c**(-1)*c)\/c**(-13))**(-3) assuming c is positive.\nAnswer: c**(-1087\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 3. Suppose 354 = 3*u + 2*t - f*t, 0 = -3*t + 9. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*h + 60, 3*h + 7*t + 80 = 3*t. Let l = h - -12. Let o = l + 52. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 85?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5727?\nAnswer: 3, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -151243604 by 1914476.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/10 - (-40)\/(-25). Let k(g) = -5*g**3 + g**2 + 5. Let r(f) = f**3 - f**2 - 1. Let u(t) = h*k(t) - 6*r(t). What is u(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/sqrt(72) + 2)**2.\nAnswer: 2*sqrt(11)\/3 + 155\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (-18 - -5 - -18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -326.842474 to 2 decimal places.\nAnswer: -326.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3039 + 2799. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 39. Which is greater: -13\/5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {w: 1, k: 3, j: 1, c: 5, n: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 87160 to the nearest 1000.\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 102223062 - -1?\nAnswer: 102223063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/8 - (-60)\/16. Let r = 46 + -42. Suppose -t*v - r*f = -36, -2*v + 4*v + f = 16. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77 + -74.65. Let w = -2.07 + b. What is w rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3*(-5)\/(-15))\/(1\/133)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017780095 rounded to six dps?\nAnswer: 0.01778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/28 or 62?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 806990.6 weeks to days.\nAnswer: 5648934.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 680278929872 less than 787?\nAnswer: -680278929085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -9*c + 10*c. Let m(t) = t**3 - 7*t**2 + 7*t - 3. Let i be m(c). Calculate the highest common divisor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 4:16 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 278158*v**3 - 4676731*v wrt v.\nAnswer: 1668948*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 506 (c) 3 (d) 5 (e) 21 (f) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -860 - 3*q**3 - 27*q + 2*q**3 + 9*q**2 + 887.\nAnswer: -(q - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 6343539.\nAnswer: 1268707.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -251322 and 0.0331.\nAnswer: -8318.7582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -476*4\/(-56) - 3.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.1 + -9.0999688. What is l rounded to 6 decimal places?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14492901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -35, -131, -291, -521, -827?\n\"Answer: -i**3 - 26*i**2 - 11*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -37 + (35 + (-51 - -2) - 14)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eupxuxexx. What is prob of sequence xu?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 212a (base 12) to base 9\nAnswer: 4877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 1204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 - -40.31. Let y = 0.01 - t. Round y to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 60 = -0*t. Let g(c) = -2*c**2 - c**3 + 10*c + 1 - 9*c + 3*c**2. Let s(h) = -5*h**3 + 4*h**2 + 4*h + 4. Calculate t*g(y) - 3*s(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 12:49 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4022*b**2 + 24*b + 16. Let a be x(-16). Round a to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**4\/18 + 4*w**3\/9 + 4*w**2\/3 - 7*w. Factor u(j).\nAnswer: 2*(j + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -18*n + 25*n - 5*n. Let w(c) = 16*c**2. Calculate w(a(v)).\nAnswer: 64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 312*j**2 - 11*j - 3455. Calculate h(-312).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 7*y + 5*f - 19, 4*f - 2 = 3*y. Let x(h) = 3*h - 15. Let s be x(y). Is ((-5)\/(-15))\/(s\/711) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1113 by 159.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/18 and -49\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 113 + -99. Let n(r) = 12*r**2 - 10*r - 15. Calculate the remainder when n(-2) is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*l = 37*l - 70. Let x = l + 38. Let q = 1 + -1. Solve -x*t = -q*t + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 300?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = 3*q + 5*s, 88 = -3*q - 2*s - 0*s. Let i = 3 - q. What is the remainder when 113 is divided by i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-10)\/(-15)*219\/(-2). Let a = h - -83. Solve -8*t + a*t + 9 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (7 - (12 + -6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Calculate the highest common factor of 66 and 10406.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 293386114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/6)\/(5\/(-45)). Let q(r) be the first derivative of 5*r**z + 3\/5*r**5 - 3 + 0*r - 3*r**2 - 3*r**4. Find g such that q(g) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 80714600.\nAnswer: 80714600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*v - 2*v - 12*v - 60 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23 - -1c?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -165782 - -165772. Let n = -0.03 - 1.97. What is the closest to -2\/3 in -0.5, q, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-39 + 38 + -2 + -5).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y - 41. Suppose -209*p + 2 = -2*r - 210*p, 3*r = p - 18. Let c(w) = 3*w - 40. What is r*g(m) + 5*c(m)?\nAnswer: -m - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18129)\/(-12424) - (-60)\/30. Let g = 4\/4659 - k. Find the common denominator of g and 1\/33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44856 divided by 42.\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 40. Solve 4*a + x = 8*a + 3*w, -a + 5*w - 9 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/46*-115)\/(-14).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 92551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/10*4\/11. Let l = -0.27 + -0.03. Let r = l + -1.7. Which is the nearest to r? (a) 5 (b) -2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 6*x - 1. Let q = -21 + 32. Let m(j) = 2*j**2 + 11*j + 2. Let p(h) = q*u(h) + 6*m(h). Determine p(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2397509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/13 (b) 21 (c) 2\/15 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 r when four letters picked without replacement from {c: 4, r: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 471\/6 + -1 + (85 - (-14364)\/(-168))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*k**2 - 22*k**2 + 130*k + 78*k**2 - 24*k**2 - 28*k**2 in the form d + r*k + q*k**2 and give r.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1685 = 6*y - 805. Suppose 4*o + y = 3*j - 1179, 0 = 2*o + 3*j + 806. What is o rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -12363117*m**2 + m. Let a(z) = 2*z**2. Calculate j(a(t)).\nAnswer: -49452468*t**4 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1222212 (base 3) to base 5\nAnswer: -21304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 146, 4, 5, 0 in increasing order.\nAnswer: 0, 2, 4, 5, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-11)\/((-165)\/50))\/((-8)\/(-2796)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 292 - 3210\/11. Let y(w) = w**3 - 4*w**2 - w + 6. Let x be y(4). Let q*d + 0 - 4\/11*d**x + 2\/11*d**3 = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*t - 65*t = -532. List the prime factors of t.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 425 + -413.16. Let k = h + 0.16. Let w = k - 5. What is the nearest to -0.1 in w, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -57. Let z = -40 + v. Let k(a) = -2*a - 5. Give k(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - r = 60, 2*w + 802 - 775 = -r for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.83 + -40.17. Let h = 27894 - 27934.962. Let f = h - d. Round f to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11943 + -11945. Let h(l) = -6*l + 3. Let u(z) = z + 1. Give f*u(c) - h(c).\nAnswer: 4*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2453)\/396 + 5 + 3 and 59\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) -1 (b) -0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 - 5956*x**2 - 29680*x.\nAnswer: -4*x*(x + 5)*(x + 1484)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5192*a**3 - 2*a**4 + 2*a**2 + 5206*a**3 - 10408*a**3 - 64 to b*a**3 + j*a**2 + x + g*a + k*a**4 and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -147, -181, -189, -171?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.5 (b) 4 (c) -0.5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 + 36 = -4*i. Solve -z - u = 9, 1 = 3*z + u + i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*v - 24*v - 12*v)*(-28*v**4 + 608*v - 608*v).\nAnswer: 1372*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -8, 4, 5 in decreasing order.\nAnswer: 5, 4, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**2 - 6*g + 9. Let d(x) = 3*x**2 + 7*x - 11. Let h(w) = 4*d(w) + 5*l(w). Let m(t) = t - 1. Calculate -h(n) - m(n).\nAnswer: 3*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 13719324.34 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 110105 to the power of 1\/2, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 527143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -26, -1, -71\/4, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*q**3 + 105*q**2 + q - 2253 wrt q.\nAnswer: -15*q**2 + 210*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65135732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*s = -6*g + 1156, 0 = 4*s. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -955*q + 18812 + 30848 = 0 for q.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -26*x**2. Let d(g) = 338*g**2. What is d(n(i))?\nAnswer: 228488*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.3974 - -0.6026. Which is the closest to 6? (a) 0.2 (b) 11 (c) v (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 7:27 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54890, 109780, 164670, 219560?\nAnswer: 274450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + sqrt(320) + 0 + 0)*1 + -1 + 1*sqrt(320) + (-3 + sqrt(320)*2)**2 + 2.\nAnswer: -72*sqrt(5) + 1290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by 7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*a + 3*t - 137, 2*t = -2*a - 66. Let q be a\/(3\/(-9)*3). Suppose 0 = -3*b + 22 + q. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 25 = -4*l. Solve 59 + 16 = -l*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 401200979 to the nearest integer?\nAnswer: 20030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.16 + 0.56. What is the biggest value in o, 0, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-4)*72\/(-45). Let k be (2 - 8) + r + 2. Is -9 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence flww when four letters picked without replacement from vlccwtvlfwwwffl?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 100100?\nAnswer: 100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4 - 5 - 3*l - 11. Let a be m(-5). Suppose -a*g + 10*g = 567. Is 21 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.18, -1, 15\/7, 1\/5?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bshsg. Give prob of picking 1 g and 2 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.5 + 9. Let z = -5.7 + 6. Put 0.1, z, v in decreasing order.\nAnswer: z, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.45054 + -0.5206. What is l rounded to 3 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -1\/4 (b) -4\/7403 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, r: 2}. What is prob of picking 2 t and 2 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -31. Let c = -14 - l. What is the closest to c in 0.3, -4\/5, 0.2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*b - 16*b**2 - 3*b**2 - 6*b**2 wrt b?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2 - 7 + 2*q**2 + 5. Let r(n) = 986*n**2 + 203. Let h(o) = 29*o**2 + 6. Let x(a) = 203*h(a) - 6*r(a). Determine x(b(t)).\nAnswer: -116*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - -17. What is b rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 14*u + 15. Calculate g(-5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (124\/(-155))\/((14\/126)\/(10\/12)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16677 is divided by 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, r: 1, p: 1}. Give prob of sequence pr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1492, -2991, -4490, -5989, -7488, -8987?\n\"Answer: -1499*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-66) - (-744)\/22. Suppose -4*b + 6 + r = 0. Calculate the lowest common multiple of 18 and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.7386069 rounded to 1 dp?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.6 - -0.6. Let s = 0.47 - 4.87. Let r = f - s. Round r to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 237725 - 237725 - 1869*s**2 in the form v*s + l*s**2 + h and give l.\nAnswer: -1869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5474699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Let s = h + -2. Let p be (-7)\/98*(4 + 0). What is the closest to 0.1 in 2\/5, p, s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 690593\/5 or 138120?\nAnswer: 690593\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 844.07 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 26 = -4*c. Suppose -c*h + 2*k = -61, -4*h + 3*k - 45 = -7*h. Suppose -2 = r - 4*v + h, -4*v + 18 = 2*r. Solve 0 = 2*b + 11 - r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/4)\/(1\/(-4)). Let f(w) = 3*w**2 - 4*w + 0*w**2 + 1 - w**2. List the prime factors of f(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krrkrjikkououro. What is prob of picking 1 j and 1 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - d + 7 + 10 = 0, -1 = -4*v + 3*d. Suppose -3*y + 23 = 4*r, -r + v*r - 11 = -y. Solve 21 - 1 = y*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 2*o - 2. Let a(h) = 2*h**2 + 5*h - 3. Let l(q) = 2*a(q) - 5*c(q). Let m be l(0). Solve 0 = -3*x - 1 - 2, -16 = m*d + 4*x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 229651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 2 (c) 66704 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-188)\/282*(-3)\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 4. Suppose -4*p + 2 + 26 = 0. Suppose -p*y - 3*j + 20 = -2*y, -3 = y + 2*j. Let z be n(y). Solve -z*b - 12 = -3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175586.\nAnswer: 2, 87793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 12\/(-680)*-74. Let z = -5\/17 - b. What is the smallest value in 3, 0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 5*y**2 + 19*y + 129. What is the remainder when h(-8) is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5590 is divided by 922?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - (-4 + 5 + -14)) + -5\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 136347630 to the power of 1\/3, to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(10025\/(-3609)))\/((2\/(-11))\/2).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 10*z + 237. Give p(-27).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.69209kg to milligrams.\nAnswer: 49692090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11025 - 134142?\nAnswer: -123113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -27. Calculate the remainder when 143 is divided by h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = 434 - 92. Do f and -37 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72920556*r**3 + r - 56285945?\nAnswer: 437523336*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 7*y - 160 = 0. Suppose 0 = 3*j + 13*j - y. Solve 3 = 2*f - j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 6*x + 4. Let j(t) = 8*t - 171. Let l be j(21). Let a be l + 4 - (-17 + 11). Give f(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17364 - -190874\/11. Let g = s + -155\/66. Calculate the common denominator of g and -37\/405.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {t: 1, j: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-116)\/(-10)*(-5)\/(-2). Let h(p) = -p**3 - 20*p**2 - 19*p + 44. Let a be h(-19). Suppose -254 + a = -7*u. Which is smaller: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -2.06?\nAnswer: 0.103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -13784\/23291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 255\/29, -39, 0.21 in descending order.\nAnswer: 255\/29, 0.21, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.33229ug in nanograms?\nAnswer: 67332.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33.1 - 33. Let o = -26 + 16. Let j be o\/4 - (-1 + 0). What is the nearest to t in j, -3\/4, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-3) + (-501)\/(-9). Suppose 5*t - 2*a = n, 4*t + 3*a - 28 = 26. Solve 5*d - 27 = 4*g, g - 3 = 2*d - t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3495 divided by -15\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00408423497 rounded to six decimal places?\nAnswer: -0.004084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**3 + 55*a**2 + 48*a - 1190. Give b(18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by (-20)\/(-6)*(-1020)\/(-765)*(-63)\/(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*p**4 + 2 + 28*p**4 - 2*p**2 + 39*p**3 - p + 32*p**4 + 28*p**4 to c*p + z*p**4 + m*p**2 + s + y*p**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(2\/27))\/(d*(d*d**10)\/d*d)*d*d*d**(-13\/2)*d**18 assuming d is positive.\nAnswer: d**(131\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 = -121464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.38 - 0.68. Sort p, 0.1, -7 in decreasing order.\nAnswer: 0.1, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27389*y + 170 + 27969*y + 132 + 130 wrt y?\nAnswer: 580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from rwu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 3*b**5\/5 + 7*b**2\/2 + 2. What is the second derivative of o(v) wrt v?\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1 (b) -10099 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3 = -3. Suppose 5*b = -w + 23, 7*b + 1 = i*w + 2*b. Calculate the smallest common multiple of 9 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17688 - 17687. What is the second smallest value in 2\/55, -1\/11, x?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -8*w + 18. Let x(a) = -72668*a**2. Determine j(x(t)).\nAnswer: 581344*t**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88*h - 14*h + 12*h)*(-3*h + 3*h - 2*h)*(-h - 1 + 0*h + 0).\nAnswer: 172*h**3 + 172*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28\/(-154) - (-3494330)\/264. Let z = c - 13248. What is the common denominator of -50 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 14695.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107 and 12231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i + 284. Let m = 135 - 135. Calculate the smallest common multiple of c(m) and 22.\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 - -68. Solve n - 7 + q = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160, 1129, 2744, 5005, 7912, 11465?\nAnswer: 15664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -80312, -160657, -241000, -321341?\n\"Answer: x**2 - 80348*x + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -77 + 2221733?\nAnswer: 2221634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 4. Let z(s) = 2*s + 3. Let i(f) = -5*l(f) + 6*z(f). Let g = 8 - 5. List the prime factors of i(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 14*r + 20. Let k be j(12). Let z = -18 - -6. Let f be (8\/z)\/(k\/42). Calculate the highest common factor of f and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001050254 to five dps.\nAnswer: 0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -33, -41, -27, 9, 67, 147, 249?\n\"Answer: 11*d**2 - 41*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -11. Let g be 4\/(-1) - (b - 6). Sort 5, -2, g in descending order.\nAnswer: 5, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -18, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.5623725 rounded to 2 decimal places?\nAnswer: 7.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 39172967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/121639 and -41\/7350471.\nAnswer: 51453297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 7) to base 8\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17796*0.16\nAnswer: 2847.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-20)\/w*w*w**(2\/19)\/w*w)\/(((w\/w**(-7))\/w)\/w**(4\/11)))**(2\/23) assuming w is positive.\nAnswer: w**(-11090\/4807)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40082642 is divided by 153.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*o. Suppose 0 = -4*a + 4*w + 9 - 1, o = -a + 4*w + 2. Suppose -9 = -a*f - 1. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzccccczjccjj. What is prob of picking 4 j?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 167 - 167. Suppose n = 21*b - 5*b - 13072. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Let y be (-1)\/(4\/(-7)) - t. Let l = -163 + 1139\/7. Which is the nearest to y? (a) -5\/4 (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 21*l**2 + 7*l - 34. Give u(-8).\nAnswer: 742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/54 + 13\/54. Let h be 4\/(-8) + 19\/30. Which is the closest to 1\/4? (a) z (b) h (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.4, 3, 1, -268, -61 in decreasing order.\nAnswer: 3, 1, -0.4, -3, -61, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, x: 2, r: 1, g: 5, b: 5, i: 2}. What is prob of sequence gx?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + 52 - (-20 + 8 + -2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 18*a - 136. Let u be m(24). Solve 2 = 6*x + u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 - 13.56. Let f = 14 + l. What is the third smallest value in -2, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 16) in base 11?\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -46207 divided by 910?\nAnswer: -6601\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/29)\/z*z*z**(-1\/3)\/z)\/(((z**(-9)\/z)\/z)\/(z*z**3\/z)))\/(((z*z**1\/z*z)\/z*z\/(z**(-6\/5)\/z))\/((z\/z**(5\/2)*z)\/(z*z**(3\/7)*z))) assuming z is positive.\nAnswer: z**(33307\/6090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12679494 is divided by 34.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11214 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -312, -311, -310?\n\"Answer: q - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 8337542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 5*u - 8. Let o be c(5). Let s be (-5877)\/(-44) - 2\/o. Let f = -134 + s. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -212 + 239. Let w = 22 - u. Let f = 2.3 + -2. Which is the fourth smallest value? (a) f (b) w (c) 4\/5 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (61\/976)\/(9*(-10)\/(-480)). Let -23\/3*l - 8 + i*l**2 = 0. Calculate l.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**3 - 13*p**2 - 13*p - 3. What is i(6)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -26. Let t(h) = 26*h**2 + 3*h + 13. Is t(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91 + -84. Suppose 3*l - j*l = -128. Let r be (-3)\/(-2)*l\/2. Calculate the greatest common divisor of r and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f - 8. Let c(l) = -5*l + 9. Let u(i) = -4*c(i) - 6*h(i). Differentiate u(d) with respect to d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226 + c - 666 + 219 + 221.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3248 and 46592.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(83\/(-498)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6703*c + 93838. Give q(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 47, 3, 2, 3\/2, 1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**3\/4 + 33*s**2\/4 + 57*s\/4 + 27\/4 = 0. Calculate s.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) 4 (c) -2\/5 (d) 2\/179\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18969 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 352 or 0.33?\nAnswer: 352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*c - 4*c - 425 + 398)*(0*c + 3*c - 2*c) as j*c + x*c**2 + d and give j.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7557.942 + 7558. What is the smallest value in -3, 0.1, 1\/2, u, 2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from frcbcnnub. What is prob of picking 1 n, 1 u, and 1 r?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14491675 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 - 16. What is the smallest common multiple of v and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = 2*z - 224. Let b = 34 - z. List the prime factors of (-1271)\/(-93) - ((-2)\/b - 0).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + g = 6, 3 = -2*n + 5*g - 4. Let z be n - (-1 + -4) - -52. Let v be (-1 - -2)*(-24)\/z. Which is the closest to 0? (a) 0.2 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(-11) - 2800\/(-88) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401, 716, 1113, 1604, 2201, 2916?\nAnswer: 3761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*3)\/(-3)*6\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103581900?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1253112 by -313278.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, -10, -110, -274, -502, -794, -1150?\nAnswer: -1570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 0*u**3 + 0*u**5 + 0*u**4 + 100*u**2 - 3 + 11\/3*u**6 - 3*u. Differentiate h(q) with respect to q.\nAnswer: 440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/10*(161\/42)\/(-23).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + i**2 + 18*i**2 in the form b*i**2 + y + r*i and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69783726 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/40)*(h\/(h\/(h\/(h**(-47)\/h*h))*h*h))\/h)\/((h\/h**(-35))\/h*h*h**(22\/5)) assuming h is positive.\nAnswer: h**(37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10203110 (base 4) to base 12.\nAnswer: -a958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -760955*p**3 + 2350349 wrt p.\nAnswer: -2282865*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 - 2*z - 5. Let y(m) = 162 + 142 + 145 - 465. Let c(q) = -3. Let j(w) = 11*c(w) - 2*y(w). What is -b(l) + 4*j(l)?\nAnswer: 2*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -57. Calculate the common denominator of -9\/2 and (t\/2)\/1 - 3\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7706\/21, -146, 4 in decreasing order.\nAnswer: 4, -5, -146, -7706\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20*k - 45 + 45)*((-5*k**3 + 2*k**3 + 2*k**3)*(-1 - 3 + 3) - k**3 + 0*k**3 - 12*k**3) to j*k**2 + z*k**3 + g*k + o*k**4 + d and give o.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 402280176 to the power of 1\/2, to the nearest integer?\nAnswer: 20057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 7*k - 7*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 - 48*d**2 + 251*d + 154. Determine y(16).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 3*w - 1787 = -1786, -2*o + 5*w = 43 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98 + -91. Let x(b) = 50*b**2 - b. Let w(c) = c + 7. Let r be w(-6). Let f be x(r). Calculate the greatest common factor of g and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*i + 4, 4*i + 2*z = 3*z + 18. Which is the closest to -2? (a) i (b) 3 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o + o + 0*o + (0 + 0 - 7*o)*(28 + 21 - 46).\nAnswer: -19*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2937.2 - 2921.2. Which is the nearest to 6? (a) k (b) -5 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25, -82, -169, -286, -433?\n\"Answer: -15*z**2 - 12*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 3 (b) 7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 16\/9 and -1502 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83278629 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462960636.\nAnswer: 2, 3, 6067, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away -2880?\nAnswer: 2874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 2*t**2 + 7*t + 11. Let x be u(8). Suppose 0 = 3*g - 115 - x. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, v: 3, f: 9, a: 1}. What is prob of sequence vaf?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t + 2*t - 3*t)*(-759 - 833 + 849 - 563 - 649) in the form l*t + z and give l.\nAnswer: -3910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16033107 or -16033106?\nAnswer: -16033106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23104304 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 8206835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -11*g - 333, 3*g + 54 - 28 = 2*c - 5 - 66 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 28\/95 (b) -3 (c) 1\/8 (d) -4.8 (e) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvmvmvvgvvvmgvv. Give prob of sequence vvgm.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610437065?\nAnswer: 5, 7, 61, 137, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198, -206, -226, -264, -326?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2 - 9*l - 5 + 2 - l**2. Let z be 44\/(-6) + (-7)\/(-21). What is the units digit of u(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -9 + 14*v + 9 - 18*v. Let m(u) be the first derivative of 0*u**2 - 2 - 1\/3*u**3 + 0*u. What is n(m(l))?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 23) + (-5 - (5 + 0)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-5 - (-6)\/2). Let m be 0\/((a - -3) + 0). Which is bigger: m or 1\/187?\nAnswer: 1\/187","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*h + 7097 = 608*h + 350*h - 9049 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-166 + 16*i + 166)*(-1 + 1127*i**3 - 1088*i**3 + 2) to n*i**3 + g + s*i**4 + q*i + z*i**2 and give s.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - (-81 - -140)) + 131.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 e when three letters picked without replacement from kseenkk?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 385, 577, 769, 961, 1153?\nAnswer: 1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -8. Suppose 0 = -2*i - b*j + 2, -5*i + 3*j - 3 = -32. Solve 2*a = -2*a - i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57598 - 2*z + 0*z + 57842.\nAnswer: -2*z + 244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**2\/4 - 185135*m + 34274968225 = 0.\nAnswer: 370270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 337808 - 337755.00211. Let f = 53 - q. Round f to four decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*k - 2194 = 176*k + 9551 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 6*a + 8, 5*m + 15 = -5*a. Let x(h) = 11*h**2 - h - 1. List the prime factors of x(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 0)*(-a**3 + 0*a**3 + 2*a**3) + (3*a - 9*a - 3*a)*(-3*a**2 - 4*a**2 + 2*a**2).\nAnswer: 50*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u + 3. Let w = 14 - 15. Let b(a) = -1. Determine w*j(k) - 2*b(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1631*c - 1356*c - 324431 = -83548 + 66778 for c.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6138931427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-6)\/(-9)*3. Let k be (-40)\/(-7) + v\/14. Let c be 3*(1 + 2\/k). Solve f + c*f = -20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b5 + -248?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1073 + 124465?\nAnswer: 125560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -34a - -226ac?\nAnswer: 22362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 + 22*r**3 - 36*r**2 - 88*r + 160.\nAnswer: -(r - 20)*(r - 2)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-2\/11)))\/(y*((y**(-3)\/y*y)\/y*y)\/y*y))**(-25)\/(((y**(-3\/2)\/y*y)\/y*(((y*y**1*y)\/y)\/y)\/y)\/(y**0)**(2\/43)) assuming y is positive.\nAnswer: y**(-1145\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 3*w = 3*y - 234 + 39, -4*w - 433 = -241*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1821078 - -0.036912\nAnswer: -1821077.963088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 102233023 to the power of 1\/3, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0+14066957947385\nAnswer: 14066957947385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from onnnnnnnnnnon.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + 5*sqrt(6)\/sqrt(3) + ((sqrt(36)\/(1*sqrt(3)))\/(sqrt(6) + (sqrt(162)\/sqrt(3) + sqrt(54))\/sqrt(9)))**2.\nAnswer: 2\/9 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**2 + 1243150*d - 3729405 = 0.\nAnswer: 3, 248627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 753739 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 572 + 21)*(2*j - 2*j - 2*j - 6).\nAnswer: 1110*j + 3330","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 2. Let x(y) = -3*y - 2. Let z(j) = -7*m(j) - 6*x(j). Let u(d) = -5*d + 1. Determine 5*u(s) + 2*z(s).\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-4)\/(-162)*(-3)\/(-1)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 5:51 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 367041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 381 = 3*c - 122*z, -3*z + 7*z = -63*c + 58*c + 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -149576 + 14359445\/96. Let r = 2818683\/80 + -35233. Calculate the common denominator of r and o.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {v: 11, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z - 2 + 2 + (-2 + 0 + 1)*(2*z + 3*z - 7*z) - 2*z - z - 2*z)*(4*z**3 - z**3 - z**2 - z**2) to y*z**4 + a + u*z**3 + o*z + r*z**2 and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 5.127 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 8:53 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220.8*-131.\nAnswer: 28924.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16295140 divided by -4.\nAnswer: 4073785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1746 + -8736\/5. Which is the smallest value? (a) 1 (b) -1372 (c) k (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.39547 litres in millilitres?\nAnswer: 2395.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3922*m - 11206 = -6082 + 171366 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 125.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1056 and -55\/32.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2 = -4*j, -10*j + 7*j = 5*s - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12396013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -5*r - 658090 + 658101, -5*i - 3*r = -17 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 3*z + 2*z)*(6 + 0 + 0)*(-1 + 4 + 2)*(2*z - 2*z + z) + 6*z**2 - 12 + 12.\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 727.6638, -5, -4?\nAnswer: 727.6638","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -294151 divided by 13?\nAnswer: -22627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/179856*-44991 - 8. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0*k - 11*k)*(3 + 2 - 6)*(0 + 1 - 3).\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 0*y - 2*y)*(10295*y + 12765*y - 19433*y) as v*y + j + p*y**2 and give p.\nAnswer: -14508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 542325634 to the power of 1\/2, to the nearest integer?\nAnswer: 23288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*w + 37*w - 146 = 1110 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = -6*b + 11*b + 551864. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 5 - r + 3)*(-1 + 2 - 3).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.034871285 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4))**(-2\/5)\/(q**(-12)*q\/(q\/(q*(q\/(q\/(q\/q**8))*q*q*q)\/q*q*q))) assuming q is positive.\nAnswer: q**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 + 4 + -1*2. Let c = 85 + -87. Sort m, -5, c in descending order.\nAnswer: m, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 take away -23932?\nAnswer: 23934.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 266 and 294842?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (0 - (-3 - -4)) + (25 - 61)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvqvvvvqqvvqqqtqquv. What is prob of sequence qv?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1233 is divided by 39?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - ((2 - 0) + (108 - 116) - 1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5637852 and 23276?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23946376 to the power of 1\/2, to the nearest integer?\nAnswer: 4894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 126\/27*((-15)\/(-21) + 7). Solve -p = -10*p - z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47.82054l?\nAnswer: 47820.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50500133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/64)\/(((-9)\/3)\/24).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 53*j**3 - 3*j**2 - 3*j. Give d(-1).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1501 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 26*j**2 - 24*j + 89. Let q be c(-27). Suppose 2*t + q = 2*w, -2*w + 3*t - 3 + 15 = 0. Solve 3*h = -w*h + 5*g - 21, 0 = -2*h - 5*g + 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h + 23. Determine a(17).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 3*m - 831 = -832, -22*p = -2*m + 46 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4)*h*h*h**(-2\/3)*h*(h**0)**(-8) assuming h is positive.\nAnswer: h**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 7. Let z = -6 + -66. Is s*(-3)\/z + (-289)\/(-8) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4 = -4*m. Let i = m + -1. What is the remainder when (i - -23) + (-4)\/(-2) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -11*a**2 - 43*a + 26. List the prime factors of o(-8).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5 (b) 0.3 (c) 1\/5 (d) 20 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, 1561, 1 in descending order.\nAnswer: 1561, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + p**2 - p + 115. Calculate the remainder when d(0) is divided by (-237 - -262) + 3 + -19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8398815097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 38*u**2 + 109*u - 23. Let v be k(-35). Which is smaller: v or -161?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 6 = -4*l. Let n(o) = o**3 + 8*o**2 + 11. What is the remainder when n(-8) is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -0.3 (c) 8\/9 (d) -0.2697 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 0 - 3\/40*r**5 + 18*r + 0*r**2 + 0*r**3 + 1\/4*r**4. Suppose i(s) = 0. Calculate s.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 19*m**3 - 3*m**2 - 4*m + 6. Determine d(-2).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.13316 - 0.133348. What is c rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.619 + 0.379. Let i = r - 2.6. Round i to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*((-2)\/3)\/(-1). Suppose 4*s - g = -113 + 29, -32 = h*s + 2*g. Is 0 + 105 - (s + 22) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*k + 16 + 2, -4*n = -4*k. Sort 1\/9, 2\/11, n, 2\/3 in decreasing order.\nAnswer: n, 2\/3, 2\/11, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -28 - s**2 - 23 + s + 56. What is f(6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-22)*d**16\/d*d assuming d is positive.\nAnswer: d**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42202072.0327758 - -42202474.48. Let x = 12.552776835 + h. Let b = x + -415. What is b rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001000 + 0?\nAnswer: 100001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 207649372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -102, -242, -450, -732, -1094?\nAnswer: -1542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3157 + 3155. Let u(n) = -17*n**2 + 2*n - 2. Let a(k) = 136*k**2 - 17*k + 17. Give o*a(y) - 17*u(y).\nAnswer: 17*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 868 (base 9) in base 13?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3)\/b)**(-18)\/(b**16\/(b*b**(1\/7))) assuming b is positive.\nAnswer: b**(106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118.99999194 + -119. Round h to seven decimal places.\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1872212 divided by 5\nAnswer: -1872212\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f = 2*u + 41, -16*f - 14 = 3*u - 20*f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -6*x + 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 5:50 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/41 (b) 3\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - -3 - (-27 + -21 - -50). Suppose 4*j + 3 = j. Sort -2, w, j.\nAnswer: -2, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1761 is divided by 484?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 10*w**3 - 11*w**3 + 2 + (2*w - 2*w + w)*(5*w**2 - 3*w + 3*w).\nAnswer: 4*w**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 8*i**3\/3 + 3*i**2\/2 - 2*i - 286. Let z(f) = -32*f**2 - 13*f + 9. What is 9*x(y) + 2*z(y)?\nAnswer: 8*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(3 + (-238)\/79) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 1 = 3*h + 2*l, -3*l = 4*h + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30*v + 114*v - 12*v)*(v**2 - 4*v + 4*v) in the form y*v**2 + f + p*v**3 + n*v and give p.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c**2 + 6\/7*c - 4\/7 - 2\/7*c**3.\nAnswer: -2*(c - 1)**2*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -1, 28\/129.\nAnswer: -1, -1\/6, 28\/129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 + -3 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 6*r + 2. Suppose -6*b + b = -15. Let v be n(b). Let w be 15\/v*(-1)\/1. Which is smaller: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1634 = -86*g + 82*g, -4*g + 4*n = -1624. Calculate the least common multiple of g and 1020.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 5:40 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 784 = 812. What is the fourth biggest value in m, 3, 0.35, 5?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -124.3 at most as big as -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - l - 503. Let j be n(23). Sort j, 1, 0 in descending order.\nAnswer: j, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*-2)\/sqrt(8))\/(sqrt(12)\/sqrt(2)*-3 - sqrt(6)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5171*l - 5184*l - 117 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -126 + u**2 + 16*u - 11 + 152 - 17 - u. Let k(p) = 6*p**2 + 74*p - 11. Give -2*k(a) + 11*w(a).\nAnswer: -a**2 + 17*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-100)\/(-75)*-1*(-15)\/2. Suppose x*n + 24 = 4. Put 7, 8, n in descending order.\nAnswer: 8, 7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 304871?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 40*n**2 - 324*n - 360.\nAnswer: 4*(n - 6)*(n + 1)*(n + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 3*y - 48, 2*y + 24 = 3*t - 3*y. Let r be (-2 + 2\/1)\/(-1). Suppose r*w + 5*w = 20. Calculate the remainder when t is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -19 and -558.\nAnswer: -577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6516 or 1661422\/255?\nAnswer: 1661422\/255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 2*c + 5, 1135*c + 20 = 5*n + 1140*c for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*f + 65 = 5*x, -39 = -3*x + 4*f. Calculate the remainder when 47 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1489217 and 1417075?\nAnswer: 5153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56813778?\nAnswer: 2, 3, 7, 150301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105947 = -96*j - 827. What is the greatest common factor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -25\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1045335 + -3?\nAnswer: -1045342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 1\/2*f**2 + 1\/20*f**5 + 0 + 1\/6*f**4 - 1\/3*f**3 + 66*f. Give r(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/3, 3502, 0.5, -3?\nAnswer: 3502","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*k + 4 = 0. Let l = -2 - k. Is (-1 - l\/(-1))*-15 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 + 72. Suppose -2*t + 3*t - 31 = 3*b, 0 = 3*t - 2*b - 72. Do q and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*i - 60 = 0. Suppose -19*v = -i*v. Solve 3*a - 6 = -3*h, -h - a - 3*a + 8 = v for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 129746400 to the nearest one million.\nAnswer: 130000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 7015959.\nAnswer: 1403191.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3296.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85.6 + -73.6. Which is the closest to -2\/7? (a) -3 (b) p (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1099 - 581. Suppose n + 175 = 7*t. Calculate the smallest common multiple of 4 and 972\/t - (-4)\/22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 601758662 + 2.\nAnswer: 601758664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*k*r + 8*a**2*m*r**2 + 2*a*k*m - 3*a*k*r**2 + 2*a*k*r + 2*k*m - 15*k*r**2 + 11*m*r + r**2 wrt r?\nAnswer: 16*a**2*m - 6*a*k - 30*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-2*2\/14). Let m be ((-36)\/(-45))\/((-4)\/(-70)). Calculate the greatest common factor of i and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 10 - 26 - 2*k.\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634555.\nAnswer: 5, 179, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 9*m + 8. Let v be p(-7). Let q be (-21)\/v + (-2)\/4. Let b(a) = -a**2 - 4*a + 1. Let o be b(-3). Solve x = -q*c + 17, o*c - 1 = 3*x + 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t + 6. Let l be c(-3). Let p(u) be the second derivative of 2*u + 2\/5*u**2 + l + 2\/15*u**3 + 1\/60*u**4. Factor p(d).\nAnswer: (d + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-14) - -1) + 437\/133.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35050 divided by 25?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 + 3 - -6) + (-1 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 3*h**2 - 5*h - 2. Let k = 135 - 24. Let s = k - 115. What is y(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/4))**28)**(-2\/51)*(v**(-2\/5)*v*v\/(v*v**(-1\/6))*v)\/((v*v*v**4*v)\/v**7) assuming v is positive.\nAnswer: v**(1321\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v**4 + 85814*v**3 + 318*v**2 - 215.\nAnswer: 24*v + 514884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42183?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -3, 2\/3, -1\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 13. Calculate n(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/2? (a) 1\/6 (b) 1 (c) 19920\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 11:23 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhwkphhwhhp. Give prob of sequence pp.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q + 44. Let s be g(9). Let b be s\/(-24) + 30\/9. Let 13*l**5 + 5*l**5 - 20*l**2 + 4*l**b + 20*l**4 + 8*l - 30*l**5 = 0. What is l?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 765.4799 hours to seconds.\nAnswer: 2755727.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**2 + 20*k**2 - 26 - 5*k**2 - 9*k**2.\nAnswer: -k**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 182 = -17*g. Calculate the highest common divisor of g and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 25 + -17 + 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/(153\/648) - -7 - (5 + 67)\/12?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52 + -2554244?\nAnswer: -2554316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 261 or -23?\nAnswer: 261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -198.5 rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 257725849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 33*k**2 + 0*k**3 - 1\/12*k**4 - k + 0. Let q(s) = -6*s - 5. Determine v(q(x)).\nAnswer: 12*x + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -130, -549, -1264, -2281, -3606, -5245?\n\"Answer: -s**3 - 142*s**2 + 14*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j + 11*j - 10*j + 1 + (0*j + 2*j - j)*(-2 - 7 - 1) to the form p + u*j and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*s = -93*s + 61200. Are -5099 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 2*d + d)*((4*d**2 - 7*d**2 + 4*d**2)*(3*d + 0*d - d) - 94*d**3 + 183*d**3 + 288*d**3).\nAnswer: 1137*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 39\/(-45)*39695*(-1)\/6. Let o = -5730 + f. What is the common denominator of o and 43\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*r - 46 + 64 = 0, 58 = 4*q - 3*r. Solve -3*d + g = q, -3*d + 3*g - 7 = 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/64 < 219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47030 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -1\/5 (c) 2\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240, 431, 596, 747, 896, 1055?\nAnswer: 1236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 5, -22.\nAnswer: -22, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1192411*m - 20270999. Calculate b(-17).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 38637897?\nAnswer: 38637902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence moo when three letters picked without replacement from oommoo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -271*v**3 - v**2 - 3*v + 46 wrt v.\nAnswer: -1626*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1039248 and 23520?\nAnswer: 72747360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7*a**2 - 63*a + 434. What is the remainder when i(11) is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.8 - -3. Let p = -0.2 + n. Let b = -4 - -2. What is the closest to 0 in 2\/5, p, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/((i**(-1\/2)*i)\/i))\/i))\/(i\/(i*i**7)))**9*(i\/(i\/(i\/(i**(2\/5)\/i))))**(1\/4)\/((i**(2\/5)*i)\/i)**(19\/3) assuming i is positive.\nAnswer: i**(1961\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2405?\nAnswer: 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -5*u - 4*o - 7, 2*u = -5*o - 13. Which is the smallest value? (a) 5 (b) u (c) -1\/104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 0 + 2*q - 2*q**2 - 1\/6*q**3 + 1\/12*q**4. Calculate the remainder when 31 is divided by i(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117 + -125. Let d(y) = -2*y**2 + 3*y + 4. Let g be d(4). Let n = t - g. Solve 0*l = 4*l + n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 177 - 2303\/13. Put 4, w, -1\/5 in ascending order.\nAnswer: -1\/5, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**2 + 4*f + 4. Let t(j) = 5*j**2 - 9*j - 9. Let c(y) = -5*m(y) - 2*t(y). Does 4 divide c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-4))\/((15\/(-28))\/5). Let q(d) = d**2 - 5*d + 24. Is q(o) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -19*y**6\/30 - 9*y**5\/10 + 5*y**3\/6 + 8935*y**2\/2 - 6329*y. What is the derivative of c(o) wrt o?\nAnswer: -76*o**3 - 54*o**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7591 + 87.56.\nAnswer: 7678.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/2*1*2. Let i(l) = -87*l. Let p(d) = 153*d - 1. Let y(b) = -7*i(b) - 4*p(b). Give y(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2)\/b**(-1\/6))**(3\/2)\/((b\/(b**0\/b))**30*b*b**(-1\/5)*b\/(b*b**(-3\/2))) assuming b is positive.\nAnswer: b**(-314\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -686341.8 + 685986.79736. Let n = -355 - g. What is n rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide -14 + (5481 - (15 + -8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2703 is divided by 1128.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/2301 and 46\/273.\nAnswer: 16107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 153*j**5\/20 + 2099*j**3\/2 + 1848*j. Find the second derivative of y(n) wrt n.\nAnswer: 918*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8*(-2)\/(-4)*1 + 746. Let v = -451 + x. Calculate the remainder when v is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -908 + 909. Which is the closest to -0.1? (a) r (b) -1 (c) 5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 23bbaa5 + -2?\nAnswer: 23bbaa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -59, -33, -7, 19, 45, 71?\n\"Answer: 26*f - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/29? (a) -3 (b) 0 (c) 1 (d) -1\/11 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/3, 34, -326, 11, -5, -25 in descending order.\nAnswer: 34, 11, 0, -1\/3, -5, -25, -326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4121*u + 4215*u - 12285*u + 4090*u - 2.\nAnswer: 141*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2. Let w(g) = -1743*g. What is w(o(t))?\nAnswer: -3486*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-186)\/(-124) - (2 - (-3)\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1611 + 75*j + 1611 as p*j + a and give p.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183058214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -786*g + 48487. Calculate b(64).\nAnswer: -1817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 2*p = 30, -2*p = 25 - 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**8\/1680 - c**7\/525 - c**6\/200 + 8*c**2. Factor z(g).\nAnswer: g**3*(g - 3)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**6\/30 - 19*v**5\/60 - v**4\/24 - 2*v**3\/3 - 5307*v**2 + v. Let r(s) = 3*s**3 - 18*s**2 - s - 3. What is 2*a(c) - 3*r(c)?\nAnswer: -c**3 + 16*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -103, 566, -0.03, 2, -1\/4 in descending order.\nAnswer: 566, 2, 2\/3, -0.03, -1\/4, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15497364\/1535 - -10096. Is 1 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 4:01 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -125 + 11. Suppose -t + 0*t = l + 14, 3*t - l + 46 = 0. Let j = t + 28. Calculate the remainder when q is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f + 2*f**2 - 3*f**2 + 11 - 7. Let w = -6 - -6. Suppose 0 = 2*o - w*o - 6. Determine l(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 4*w**2 + w**2. Let d(o) = 6*o + 12*o + 2*o. Let y(h) = 5*h. Let p(i) = -2*d(i) + 9*y(i). What is p(v(m))?\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 118 + i + 15*i - 11*i)*(i + 0*i + i).\nAnswer: 10*i**2 + 254*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1125*g + 31365. Let y(h) = h**2 - 562*h + 15682. Let x(j) = -2*r(j) + 5*y(j). Factor x(l).\nAnswer: 5*(l - 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 5*s + 1 - 1\/2*s**2. Let l be x(6). Sort 5, -5, l.\nAnswer: -5, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5157 and 0.05.\nAnswer: 5157.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 58664976347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/20 of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2975285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1122*f**3 - 2*f**2 - 4*f - 3. Is r(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -13188, -1 in decreasing order.\nAnswer: 10, -1, -13188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-6) + (-6)\/18. Let g = 3 - 0. Solve g*a + 0 + 3 = r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 0, -2\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 78.3? (a) -6 (b) 695 (c) -0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 22*w - 60. Suppose 2*s - 39 = -2*y - 83, -4*y = -5*s - 74. Let t be v(s). Solve 19*j + t = 23*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -190, -1 in increasing order.\nAnswer: -190, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/9*(-6)\/(-4). Let h(r) = r**2 - 17*r - 8. Let u be h(o). What is the common denominator of 2\/(-5) + (-342)\/u and 127\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 13\/((-52)\/(-16)). Is p at most as big as -6\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -491.2279 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(-1455*q + 204*q**4 + 1455*q).\nAnswer: 408*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w + 10. Let g(i) = 10*i - 48. Let h(l) = 3*g(l) + 14*n(l). Suppose 0 = 2*b + 5 + 1. Let c(k) = 1. Calculate b*c(o) - h(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 14*n**3 - 3*n**2 + 4*n - 3. Suppose 8*t - 9 = 7. Is l(t) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 13*v + 66. Calculate the lowest common multiple of 12 and p(9).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 395 = -0*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5.64 (b) 0.352 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/52)\/((49\/(-7))\/14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -3. Calculate the remainder when (-3)\/9 + (-14)\/o is divided by (-18)\/(-8) + 2\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1297?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 6:16 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -2) + (-1 - 9) + (46 - 52)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlkklxzxlllx. Give prob of picking 1 r and 2 l.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 273*u**5*z**2 + 2*u**5 - 5*u**2*z**2 + u**2*z - 5*u**2 + 4 wrt u.\nAnswer: 16380*u**2*z**2 + 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17756176 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1023, 4067, 9107, 16143?\nAnswer: 25175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36555*b**2*r**2 - 2700*r**2 + 2*r wrt b.\nAnswer: -73110*b*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/(q\/(((((q*q**(2\/7))\/q)\/q)\/q)\/q)*q))**(-17\/3))**(1\/25)*q**(-6\/7)\/q**(-1\/5)*(q*q\/(q**(-4)\/q))\/q**(-3\/4) assuming q is positive.\nAnswer: q**(5237\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 68546917703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2042 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 28*h - 1. Let p be s(2). Suppose p = l + 4*l. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 g, and 1 o when four letters picked without replacement from dadagaoaadqzqaagaaaz.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2858 - 8584 - 2*v**2 + 2867 + v**2 + 2859.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 77358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(9\/5)\/o)\/o**(-5\/8) assuming o is positive.\nAnswer: o**(57\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(162)*5 - sqrt(162))*-4)**2.\nAnswer: 1752192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -71, -185, -297, -407, -515, -621?\n\"Answer: a**2 - 117*a + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -156 (base 7) to base 4\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p = 61 - 35. What is the greatest common factor of 7 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6715, -13531, -20289, -26959, -33511?\n\"Answer: 5*a**3 - a**2 - 6848*a + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101\/22 + 333\/88. Suppose 2*f + 0*f = 1596. Calculate the common denominator of l and f\/(-120) - 1*-2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*f + 62 = n, 3*f - 41 = -4*n. Let z(h) = n - 18 + 9 - h. Is 2 a factor of z(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/32*-4*10. Let r = 9 - k. Let c(s) = s + 3. Calculate c(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 49540635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*h - 6166 - 14834. What is the greatest common divisor of 200 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 - 182 = 3*s + 4*u, 118 = -s - 5*u. Let v be 287500\/(s\/(-96) + -1). Round v to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131353 is divided by 3917?\nAnswer: 2092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(102) + (sqrt(102) - (sqrt(102)*2 - sqrt(102)))) - sqrt(102)*1*-5)\/(sqrt(24)\/(sqrt(64)*6)).\nAnswer: 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.169513, 2, -8 in decreasing order.\nAnswer: 2, -0.169513, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/7077 and -101\/4718?\nAnswer: 14154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121494, -122642, -123790, -124938?\nAnswer: -126086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 3*g - g)*(-9*g + g + 2 + 6*g)*(46 - 2*g - 46).\nAnswer: -4*g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**5\/5 - 18*d**4\/5 - 44*d**3\/5 = 0.\nAnswer: -2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1639, -3250, -4835, -6382, -7879, -9314?\nAnswer: -10675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79 and 484744.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/1 - (-1 + 2). Suppose -5*o + 67 = -2*o - 5*g, 24 = o - h*g. Suppose -o = 5*v - 249. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -8 - 0 - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -1.1798 (b) 1\/2 (c) 2\/13 (d) 7 (e) -1 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8*u + 122. Let t be i(11). Let p = t - 18. Factor p + 12*g + 3*g**2 + 1\/4*g**3.\nAnswer: (g + 4)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1925 and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80517102, -161034202, -241551302, -322068402, -402585502?\nAnswer: -483102602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -155562 - 113438. What is a rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**2*n - 8564*a**2 + 675*n wrt a.\nAnswer: -4*a*n - 17128*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 35 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 109 and 109 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3159*k**2 + 1497*k wrt k.\nAnswer: -6318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pddlzlpdgzzppzzzpz. What is prob of sequence gppl?\nAnswer: 1\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g - 90270*f + 90267*f = 24, 2*f = 4*g - 4 + 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/1135 and -197\/143010?\nAnswer: 143010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h**(-29)\/h*h)\/h*h))\/h**(-21) assuming h is positive.\nAnswer: h**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.108774918 rounded to 3 decimal places?\nAnswer: 2.109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8382 and 230457502.\nAnswer: 2794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27\/689 or -1?\nAnswer: 27\/689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*l + 48*l = 589600. List the prime factors of l.\nAnswer: 2, 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v\/(v**(22\/7)*v))\/v)\/v*v)\/(v*v\/(v**(8\/11)\/v))*(v\/(v\/((v*v*v**(28\/5)*v)\/v)))\/(v*v**(-2)))**23 assuming v is positive.\nAnswer: v**(28198\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96531, -92300, -85247, -75372, -62675, -47156?\nAnswer: -28815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 + 40*q**2 + 39*q + 18. Let c be h(28). List the prime factors of 18\/63 + c\/(-14) + -2.\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at most -79.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 2*u + 2. Let w(m) = -m - 10. Let o be w(-7). Let a be r(o). Solve 10*f - a*f + 5 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**5 + 73566*m**4 + 27554337*m**3 = 0. What is m?\nAnswer: -369, 0, 24891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8fdf (base 16) to base 11\nAnswer: -25743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 1761*m + 7056. What is a(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14501 (base 7) to base 9\nAnswer: 5455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g + 35 = -28*g + 2*c, 5 = -4*g - 3*c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 - 64.1. Which is smaller: f or 22.9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b. Let z = 226 - 159. Let c(r) = -z*r**2 - 9*r**2 - 4926*r + 4926*r. Give c(w(f)).\nAnswer: -76*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/7 - 4*c**4\/7 - c**3 + 10*c**2\/7.\nAnswer: c**2*(c - 5)*(c - 1)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -463, -475, -495, -523, -559, -603?\n\"Answer: -4*c**2 - 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 8*k**2 - 19*k + 12. Let p be s(-10). Sort p, 3, 1, -5 in increasing order.\nAnswer: -5, 1, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.049285195 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 67\/3 of a hour?\nAnswer: 1340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 65 = 10*r - 23*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -299*p**3 - 91. Let z(m) be the second derivative of m**5\/2 + 3*m**2\/2 - 5*m - 23. Give 3*j(o) + 91*z(o).\nAnswer: 13*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v + 9. Let g = 4 + -4. Let l be g + -1*9 - 0. Let x be o(l). Calculate the greatest common divisor of 54 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/2960 and 97\/552410.\nAnswer: 4419280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + r. Let w(l) = -175*l**2 - 161*l**2 - 1 - 5*l + 341*l**2. Determine 2*w(m) + 11*x(m).\nAnswer: -m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-117)\/(-13) - 6\/1. Solve 3*c + 12 = c - 4*z, 0 = 3*c + r*z + 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1890, -1889, -1888, -1887, -1886, -1885?\n\"Answer: m - 1891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 11:42 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 3*j + 78, -7*n + 8*n - 4*j = 39. Solve 2*f = -k - k - 8, n = -4*k - 3*f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 6. Let u = -3 + y. Let l = u - -0.5. What is the smallest value in l, 0.04, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1782 + -703. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -12 + -12 + 28 + (0 - 0)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 127?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 1582.\nAnswer: 316.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2, -7\/2 in descending order.\nAnswer: 2, -0.5, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p**2*w - 10*p**2 + p*w + 819*p - 4975041*w wrt p?\nAnswer: -2*p*w - 20*p + w + 819","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190 a factor of 1272110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 70260.5 centuries?\nAnswer: 84312600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, -2\/5, -0.9, 9\/2?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4\/11 - 148*z**3 - 201458*z**2\/11 - 2186520*z\/11 = 0.\nAnswer: -665, -137, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 3\/2*b**3 + 0 + 8*b + 1\/20*b**5 + 3\/4*b**4 + b**2. Is 23 a factor of t(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - -5.5. Let y = f - 12.4. Which is the second smallest value? (a) 1\/9 (b) y (c) 3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 8:52 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 r when three letters picked without replacement from {p: 5, r: 2, b: 4}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.472634nm to kilometers.\nAnswer: 0.000000000009472634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 119.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**3 + 7*k**2 + 2*k + 1. Let x be ((-9)\/6)\/(3\/14). Let a(b) = 2*b**3 - 6*b**2 - 2*b - 1. Give x*a(s) - 6*w(s).\nAnswer: -2*s**3 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j + j - j)*(-j**2 + 3*j - 3*j) + (-17 + 2 + 8*j + 54)*(3*j**2 + 0*j**2 - j**2) to v*j**3 + r*j + k*j**2 + w and give v.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9\/35 + -22\/105. Let a = r + -138\/7. What is the common denominator of -21\/2 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34742 minus -3345.1?\nAnswer: -31396.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 292.8628187 rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3362\/(-287) - (-11 - 3)\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 11\/5 (b) -16\/3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*g + 7272 - 7272)*(5*g + 2*g**2 - 5*g) + g**3 - g**3 + 2*g**3 as h*g**3 + n*g**2 + r*g + c and give h.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 838 - 2*d**3 - 4*d + 3*d - d**2 - 841 in the form c*d**2 + h + u*d**3 + m*d and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73\/27 - 611\/216. What is the nearest to -2\/9 in -0.2, n, 0.4, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -11*n - 50. Let k be t(-5). Solve -9 = -h + 4*h + 3*i, -2*h + k*i = -1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 236113 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 9*s - 6. Let i(c) = -8*c + 5. Let r be 56\/196 - 26\/(-7). Let f(w) = r*i(w) + 3*k(w). Let l(u) = u. Give f(b) + 6*l(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14529944 + -33?\nAnswer: 14529911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22155\/1766 + -40\/883. Determine f so that q - 5\/2*f**2 - 10*f = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(-3) - (-1408)\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -2160203?\nAnswer: 2160210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-2)*1)\/(8\/(-24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from {n: 1, t: 6, e: 1, f: 4, b: 1}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44784806*o**4 - 3*o**2 - 88301*o - 87.\nAnswer: -1074835344*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71684793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/(4\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 + 136\/24)*(-21678)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-5))\/((-622)\/3110)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 992904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -75 (b) 2 (c) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**(1\/3)*(l*l\/l**(-1\/5)*l)**(-4\/9) assuming l is positive.\nAnswer: l**(-79\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 262 or 265?\nAnswer: 265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*u**2 - 16859617 + 10*u**2 + 16859620 - 6*u**2.\nAnswer: 25*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 317*l. Let y be k(1). Let s(o) = 10*o**2 - 11*o + 1. Let x be s(-4). Let i = y - x. Calculate the highest common divisor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = -2*i + 3005 - 3013, 4*x = -4*i + 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1 + 0 + 16*b - 4*b. Calculate z(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120247 + 5413 = 61*l. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thfc when four letters picked without replacement from {t: 2, h: 1, f: 2, c: 1, v: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*a - 25 = -5*a, 6 = 2*a. Let g = -6 - -10. Suppose g*v + 0*v - 3 = 3*h, 0 = -3*v + 2*h + 3. What is the remainder when w is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 2:52 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1449*y - 4. Suppose -101 = -2*w + 133. Let g = w - 122. Is p(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + n + 56, 38 = p + 2*n - 0*n. Let c = p - 12. Solve -g = -4*v + 4, 3*g + 5*v - 4 = c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*t**3 + 14 + 5 - 21 + 10*t**4 - 4*t**4 to m*t**3 + b*t**4 + s + r*t**2 + n*t and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 equal to -234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27565.83 - -27315. Round g to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5\/2 - 3. What is the nearest to 0 in s, -3, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1649822 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 131 - 627*m**2 - 216 - 287 wrt m?\nAnswer: -1254*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 - -567. What is the highest common factor of 141 and n?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10998 or 11000?\nAnswer: 10998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -973632 divided by -11\nAnswer: 88512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 39 = -4*a. Let s(r) = 6*r + 10. Let u(c) = -24*c - 41. Let h(t) = -9*s(t) - 2*u(t). Does 10 divide h(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 22. Let v be (8\/6)\/(a\/(-3)). Sort 5, v, 3.\nAnswer: v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 237448 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2394665, 2394673, 2394681, 2394689?\n\"Answer: 8*k + 2394657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 4. Let r = 7 + v. What is the nearest to -2\/5 in -2, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*a - 8*a - 3*a**4 + 3*a**2 - 16*a + 37 + a**2 - a**3 - a**3 as p*a**2 + l + v*a + d*a**4 + m*a**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11524 + 11524 + 90962*p.\nAnswer: 90962*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**1\/k*k))**(-13))**(3\/7) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) + (sqrt(1300)*-2*-5)**2 + (sqrt(1300) + (sqrt(1300) + -1)**2)*1 + sqrt(39)\/sqrt(3) + -2 + sqrt(1053) + 0 + sqrt(1053).\nAnswer: 19*sqrt(13) + 131299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 4 - 0. Let b(t) = -4*t + t + v*t. Let x(n) = 120 - 120 + 2*n**2. Calculate b(x(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6428821\/17796 - -4\/4449. Which is smaller: z or -362?\nAnswer: -362","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 588230827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 3*a**2 + 2*a**2)*(a + 5*a + 0*a) + (2 - 12 - 17)*(18*a**2 - 18*a**2 - 11*a**3).\nAnswer: 309*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1768 divided by -5?\nAnswer: -1768\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0 (b) 4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c + 29 = l, 34 = 2*l + 2*c. Let f be ((-2)\/4)\/(l\/(-196)). What is the tens digit of (f\/4)\/(2\/48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1183, 8, -2 in decreasing order.\nAnswer: 1183, 8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 12 + 24 = 0, -13 = -g - y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/18 and (-133)\/20 + 8\/20.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1266 (base 11) to base 5.\nAnswer: -23040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26.61787 + 30.617844. Let v = 13 + -17. Let x = i + v. Round x to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2385847*p**3 - p**2 + 39843220*p wrt p?\nAnswer: 14315082*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1793 times -214129\nAnswer: 38393.3297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 182047, -5\/2?\nAnswer: 182047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1362492192606 - 4.33.\nAnswer: -1362492192610.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 5. Let n be o(5). Let d be (0 + 3)\/(51\/(-68)). Let h = -142 + 142. What is the closest to h in 3, n, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-81.4\nAnswer: -244.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**2 - 3 + 1 + 4. Suppose -13*r + 19*r = 12. Let q(d) = -d + 3*d**r + 13*d**2 + d - 15*d**2. Determine o(q(z)).\nAnswer: -3*z**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.316 rounded to one decimal place?\nAnswer: 9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 578769637 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 20 = 5*m, -g + 0*g - 16 = -4*m. Differentiate -3*h**2 - 5*h**4 + 0*h**m + 3*h**2 - 7 with respect to h.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -1\/3, -14999, 0.1, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l + 3*l**3 - 2*l**2 + 8*l - 2*l - 1 - 2*l**4 - 2*l**3 to the form j*l**2 + m*l + y*l**4 + p*l**3 + b and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -447079*x**2 + 1172875.\nAnswer: -894158*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.048844778598973 - 13?\nAnswer: -12.951155221401027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258\/6 - (26592\/368 - 29).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2848 = -8*s + 21128. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 60 + 8 = 4*f, 2*s - 26 = -2*f. Suppose -8*h - s = -1245. What are the prime factors of h?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 870647.6us?\nAnswer: 870647600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8907922 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 - 63. Solve -2*m + 6*m = 5*f + r, 0 = 3*f + 4*m + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((133\/(-14))\/(-19))\/(2 + (-3)\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -17*a + 19*a. Calculate the highest common factor of a and 246.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**1*a))\/a)**(-14)\/(a\/(a\/(a*a\/a**(-1)*a*a))*a*a**(-6\/11)) assuming a is positive.\nAnswer: a**(402\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14412 and 21468?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4\/6 - 26053*y**3\/6 - 78241*y**2\/2 + 4300705*y\/6 - 6189725\/3 = 0.\nAnswer: -19, 5, 26062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(36)\/sqrt(6) + sqrt(864) + sqrt(864)*4)\/(5*(sqrt(60) + sqrt(240))\/sqrt(5)).\nAnswer: 21*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l**4\/7 + 328*l**3\/7 + 4588*l**2\/7 + 2808*l\/7 - 1458\/7 = 0.\nAnswer: -27, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5490, 0, 3, 4, 5 in decreasing order.\nAnswer: 5490, 6, 5, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -685 by 137.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 5*z**2 + 2*z - 8. Let t be n(5). Suppose 5*r + t*s - 25 = 0, 0 = 3*r + s + 2*s - 24. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/27)*w**1*(w*w*w**1\/w)**(-46)*w**(-7)*w**(-1\/5)*w**(-1\/4)\/w*w*w\/(w*w\/w**(-3)*w*w) assuming w is positive.\nAnswer: w**(-56363\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 270 by -6.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-1 - (6 + 1)). Let f = 666441 + -666437. Put 3\/2, g, f in descending order.\nAnswer: f, 3\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28598371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 5 + 7, 0 = 4*f - 3*x - 104. Let a be 3\/(-6)*-6*1. Suppose -107 - 100 = -a*k. Calculate the highest common divisor of k and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 3*w - 2*w)*(1 - 1 + w)*(-5 + 37 + 53).\nAnswer: 340*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**7\/7 + w**5\/5 - 9*w**3\/2 - w**2\/2 + 345*w. Find the second derivative of m(b) wrt b.\nAnswer: -120*b**3 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 22 - 2)*(-c + 2 - 3 - 2*c).\nAnswer: -108*c - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpcppc. Give prob of sequence pc.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7979.0148 nanoseconds in hours?\nAnswer: 0.000000002216393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -478 - -480. Let t = 21 - 22. Put -2\/9, t, n, -1\/2 in increasing order.\nAnswer: t, -1\/2, -2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.14 - -0.84. Let z = -0.3 - m. Let c = -1.5 - z. Sort 0, c, 2.\nAnswer: c, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -16 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/7*m**2 + 12\/7*m + 4\/7.\nAnswer: (3*m + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 + -51\/2. What is the common denominator of -13\/4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1339 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 - 236703?\nAnswer: -236722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 5*q + 7. Let x be r(-6). Let u(c) = 300*c - 2075 + 2074 - 301*c. Let i(m) = m**2 - 6*m - 6. Give x*i(l) - 6*u(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 24. Let w = 31 - 15. Calculate the smallest common multiple of d and w.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 12*z = -5*t + 43, 2*z - 20 = -2*t. Suppose 0 = 2*p - 5*d - 92, -p + 0*d = 2*d - 55. Calculate the remainder when p is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-8*l + l + l)*(-3*l**3 + l**3 - 7*l**3 - l).\nAnswer: 54*l**4 + 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (77*s - 77*s - 86*s**2)*(-3*s + 3*s + s) + (5*s**2 + 0*s**2 - 3*s**2)*(-3*s - 4*s + 6*s) as k + n*s**2 + v*s + l*s**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 45528.36km?\nAnswer: 45528360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 8. Let o be m(4). Let y be -4 + (-126)\/o - (-1)\/(-4). Sort y, -5, -1 in descending order.\nAnswer: y, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 5*l + 65, 24 + 1 = 5*l. What is the second derivative of 26*i**4 - 4*i**4 - h*i + 43*i wrt i?\nAnswer: 264*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62860 divided by -140\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2. Let m(s) = 7*s**2 - 2*s**2 - 4*s**2 + 95 + 48. Give i(m(f)).\nAnswer: f**4 + 286*f**2 + 20449","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*f**3 + 122385672*f**2 + 103557141*f - 18828570 = 0 for f.\nAnswer: -1, 2\/13, 3138095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 558\/63)*288\/216.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -178113 (base 10) in base 7?\nAnswer: -1341165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*s - 3*s - 5*s - 6*s as a + y*s and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 15 - 27 = 0. Sort 8, d, 0, -1.\nAnswer: d, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37164854 is divided by 357.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95094\/(-40503)*23\/1.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*g**4 - 3*g**2*o - g*o + o + 14 wrt g.\nAnswer: 984*g**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 3*r - 24, -8*r = -4*a - 4*r - 24 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -205 + -84. Let g = -285.1 - o. What is the biggest value in g, -0.4, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/(-20) - 7\/21*-15?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3302, 6606, 9930, 13274, 16638, 20022, 23426?\n\"Answer: 10*l**2 + 3274*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2534)\/724 - 14\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-72)\/(-28))\/((-4)\/((-56)\/3)). Calculate the greatest common factor of x and 564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58038039 to the power of 1\/2, to the nearest integer?\nAnswer: 7618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 220113521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 49\/2*a**4 + 166*a**2 - 280*a**3 - 24*a.\nAnswer: -a*(a + 12)*(7*a - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a - 4*a - a)*(-281 + 281 + 41*a)*(1 + 2 + 1) + (a**2 + 3*a - 3*a)*(3 + 0 - 1).\nAnswer: 166*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6486273 - 9019*r**2 + 6486273)*(-4*r + 4*r + 2*r).\nAnswer: -18038*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58072*j**4 - j**2 + 1572 wrt j?\nAnswer: -1393728*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -924*q**3 + q. What is the units digit of h(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -175*y**2 - 7*y - 122. Give o(0).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87978636 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4470 by 1490.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 45.8, 40, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 749\/583 + 9\/53. Sort 4, 3, n in descending order.\nAnswer: 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -5\/34 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - -2) + (-20 - (-3 - 6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.4, -0.4, 153, -44.\nAnswer: -44, -0.4, 0.4, 0.5, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7)*f*f**(-1\/3)*f**(-4\/9)\/(f**(-5\/3)\/f))\/(f**10\/f**(-7\/5))**(12\/5) assuming f is positive.\nAnswer: f**(-38092\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -97.6 + 96. Sort -9, b, 5, 4 in descending order.\nAnswer: 5, 4, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2136*x**3*z**2 + 2*x**3*z - 24*x**2 + 84*z**2 wrt x?\nAnswer: -12816*z**2 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**7\/2520 - q**6\/360 - q**5\/120 - 3*q**4\/4 + 4*q. Let y(i) be the third derivative of n(i). Calculate y(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11205187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 428\nAnswer: 1\/214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -7, 0, 5, 8, 9, 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + u**2 - 1 + (1 - 4 + 1)*(17*u**2 + 6*u**2 + 36*u**2) - 3*u**2 - u**2 + 5*u**2)*(0 + 1 + 1 - 5*u).\nAnswer: 580*u**3 - 232*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((b + 0*b + 0*b)*(-1 - 4 + 4) + (b + 1 - 1)*(5 - 2 - 1))*(b**4 + 0*b**4 + 0*b**4).\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*g, -5 = 5*g - 4*x - 71. Sort g, -4, 3.\nAnswer: -4, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -27*w - 680. What is j(-25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l**4 + 819*l**3 + 3*l**2 - 230*l - 16625655 wrt l?\nAnswer: 8*l**3 + 2457*l**2 + 6*l - 230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -30*v**2 - 37*v - 2. Let s(f) = 24*f**2 + 32*f + 3. Let o(u) = 7*s(u) + 6*z(u). Let r(k) = -18*k**2 + 3*k + 13. What is 7*o(t) - 5*r(t)?\nAnswer: 6*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4822*z**3 - 4*z + 73702.\nAnswer: -14466*z**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 394\/26 + -21 + 6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in 1\/4, 8, -0.5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.45 - 1.15. Which is the biggest value? (a) -4\/27 (b) n (c) -1\/2 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 9, 2\/5, 0.5 in decreasing order.\nAnswer: 9, 2, 0.5, 2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*448061278.\nAnswer: 2240306390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3952 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -211 + 215. What is the smallest value in 0, -0.1, k, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8258 + -6176. List the prime factors of s.\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 956 and 3.\nAnswer: 2868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12341 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5602344 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-1\/4))\/b**(-6\/5))\/(b**(-3\/11))**(-8))**35 assuming b is positive.\nAnswer: b**(-357\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14307000 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19849, -79404, -178663, -317626?\n\"Answer: -19852*o**2 + o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -109a - -176?\nAnswer: -e24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 e when three letters picked without replacement from {s: 3, o: 2, e: 1, u: 2, l: 2, z: 2}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -516 - -524. Let f be 4\/u*336\/3. Calculate the highest common factor of f and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -5*d**3 - 26715*d**2 - 26700*d + 53420 = 0.\nAnswer: -5342, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3*u - 8, -5*u + 13 + 11 = 3*i. Suppose 2*z + i = -v + 3*z, 0 = -2*z - 2. Calculate the remainder when 9 is divided by v*(-4)\/6 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 332 = 2*j, 14 - 24 = -5*j. Calculate the lowest common multiple of w and 264.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 671*w - 670*w, -4*w + 6 = -2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -338154, -2705378, -9130712, -21643212, -42271934, -73045934?\nAnswer: -115994268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from jxmmm.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.14 - 0.09. Let s = -0.95 - g. What is the closest to s in -0.3, 0, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -208 + 210. Solve -j*m = -m - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -353 - -355. Which is the fourth biggest value? (a) -5 (b) 0 (c) -37 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4504*o + 4. Let b be n(-3). Is (1\/(-4))\/(11\/b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -3, 0, -111 in ascending order.\nAnswer: -111, -3, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12.1 times 1240.2\nAnswer: -15006.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -136 + 70. Let b = 1320 + -1385. Which is smaller: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 40. Let d be n\/4*(1 + 24). Suppose -5*m + 0 = -d. Solve -5*q = 8*y - 4*y - m, 3*q = -4*y + 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**5 - 2504*q**3 + 13*q**2 + 103*q wrt q.\nAnswer: -60*q**2 - 15024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((-32)\/(-16))*4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-2 - (-7 + -1)) - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -357843523*q**2*r**3 + 71*q**2*r**2 + 979*q**2*r - 10*q*r**2 + q*r + 12*q wrt r.\nAnswer: -2147061138*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -201131 + -4?\nAnswer: -201135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 3*x + 4*l, 0 = -5*x + l + 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 3}. What is prob of picking 2 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(88)\/sqrt(8))*5 + 5*(sqrt(11) - sqrt(11)*3).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.059712239 rounded to 5 dps?\nAnswer: 0.05971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.056 - -38.944. Let g = t - 44. Which is the biggest value? (a) 0.5 (b) 2\/11 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 19. Suppose b = z + 23 - 128. Calculate the greatest common divisor of z and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 4 - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 504*b + 181 with respect to b.\nAnswer: 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1980)\/54)\/22)\/(3*(-20)\/396)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 7:17 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -553 - -483. Let n = 1 - 9. Let s be (-7)\/(-28) + x\/n. Solve -3*q = -b - 23 + s, 30 = -5*b + 5*q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 168 = 3*y. What is the highest common factor of 21 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/372*(-15156)\/842?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w - 5. Let u(b) = 10*b + 24. Calculate 11*m(g) + 2*u(g).\nAnswer: -2*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-5)*40\/(-12). Solve f + 4 = 0, y = -3*b + f - 5*f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqma when four letters picked without replacement from madudaadaqmu.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 10 - 3*v + 3 - 19. Let r(a) = 1. What is g(y) + 6*r(y)?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 17. Let u be 3 + 1 - (2 - a). Suppose -58 = -f + 2*r, -u*f + 9*f = -4*r + 346. What are the prime factors of f?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187456.\nAnswer: 2, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4070 at least 4072?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1102 + 1102.000000528. What is f rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 1 = 21. Let q(g) = -g**3 - 11*g + 19. Let v be q(c). Is (-3 - (2 - (v - 3)))\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-21)*14\/8)\/(210\/4)?\nAnswer: -1\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171189.\nAnswer: 3, 23, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + 2*j**2 - 2*j**2 + (-142*j + 42*j - 58*j)*(5*j - 3 + 3) + (-j + 2 - 2)*(0 - j - j - 2) in the form d + v*j + q*j**2 and give q.\nAnswer: -790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 10*j**2 + 2*j - 8. Let y be i(10). Let p = y + -8. Let o = 28 - 26. Solve -4 = o*q + p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -666 - -661. What is the nearest to 0 in 8, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -a + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27.6 - -26.4. Which is the closest to 2? (a) 2 (b) 0 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30811056 to the power of 1\/3, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*x)*(6915704 - 6915763 + 17*x**3 - 167*x**3).\nAnswer: 300*x**4 + 118*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9453 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v - 10. Let t be s(-13). Suppose n - 2*n = 0. Suppose 0 = -t*x - n*x + 3. Solve j - 1 = x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/10*2\/(1 - 0). Suppose 851 = f + p*u, 5*u - 3157 = -3*f - 588. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, 270, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**2 - 474*p - 5851. Calculate m(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0201829487 rounded to five decimal places?\nAnswer: 0.02018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -319, -318, -317?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 3*i + 4*o, 12*i = 11*i + 3*o - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2032.578468 and -0.1.\nAnswer: -2032.678468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -208 - -202. Let a(o) = o + 14. Give a(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73182?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 2, 6*u - 11*u - 443 = -3*b. What is the remainder when b is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 11:59 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42083.25t in milligrams?\nAnswer: 42083250000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -10*o + 7*o. Solve 5*j - 27 = 3*w, 5*w + o + 2 = -5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.243 + -0.067. Let r = h - 9.19. Let d = r - -9.50000164. What is d rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1039551?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/2)*h)**(-2\/29)\/(h\/(h**(-1\/6)*h*h))**(-2\/49) assuming h is positive.\nAnswer: h**(-880\/4263)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -184 (base 12) to base 5.\nAnswer: -1434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sfff when four letters picked without replacement from {f: 7, s: 1, b: 10}?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -79\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/((-9 + 3)\/(-3)). Suppose d = 4*d + 4*u + 12, 3*u = 3*d - 9. Suppose 4*a - a + 3 = d. Sort a, -2, t in ascending order.\nAnswer: t, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1641770 and 3806?\nAnswer: 18059470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 51 = 119. What is the smallest value in 2\/15, l, -0.03, 0.35?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**5\/20 + r**4\/4 - r**3 - r**2\/2 - r - 41. Let y be f(-4). Solve -3*j = -2*d + 17, 4*j + y = 5*d - 25 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27651 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/267347?\nAnswer: -2\/267347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**2*j*w**2 + 3*c**2*j*w + 9*c**2*j + 6*c*j*w**2 + 4*c*w**2 + 2*c*w wrt w?\nAnswer: -6*c**2*j + 12*c*j + 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 18*j + 1. Let a(i) = 433*i - 1. Give a(z) - 2*d(z).\nAnswer: 397*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4121 - 504956?\nAnswer: -500835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -182 or -183?\nAnswer: -182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -270.24 + 266. Let b = p - -4.239899. Round b to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/2)\/(m**(-3)\/m))\/((m*m**(-7))\/(m\/(m\/m**(6\/11)))) assuming m is positive.\nAnswer: m**(199\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 10676755531 and -112.47.\nAnswer: 10676755418.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4 = 612*p - 611*p, -p = -3*d + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 11:31 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4\/5 - 28*x**3\/5 - 10*x**2 - 24*x\/5 = 0 for x.\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -261.63213 and 2930.\nAnswer: 2668.36787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (24288\/(-484) + 50)\/(3*-2)?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*sqrt(27) + sqrt(3))*5 + 1)**2*6*5.\nAnswer: 4200*sqrt(3) + 441030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 13*n**2 - 11*n + 14. Let t be j(-12). Suppose -11 = -r + t. Solve -5*z - r + 3 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5\/5 - 1116*t**4\/5 - 9048*t**3 - 6812*t**2 + 406998*t\/5 + 396936\/5 = 0.\nAnswer: -37, -3, -1, 3, 596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 262 + -74b7?\nAnswer: -7255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2346\/(-4)*(-5 - (-14)\/6) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, z: 2, p: 1, c: 1, y: 5, f: 1}. What is prob of sequence pzfj?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112237786?\nAnswer: 2, 47, 1194019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + 7*o**3 - 5*o + 7*o + (4*o - 3*o - 5*o)*(-o + 2*o**2 + o).\nAnswer: -2*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 232 + -11?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 5:59 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 6*v**2 + v - 5. Suppose 19 = q + 2*y - 31, -q - 4*y + 56 = 0. Calculate the remainder when q is divided by g(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 7*n = 27. Solve -2*o - n = 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -22 (c) 0.1225\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*u - 12. Suppose 0 = d + 3*q + 5, -19 = -u*d + q - 4. Let t(c) be the second derivative of c**4\/12 - c**3 + 5*c**2\/2 - c. What is t(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2 + 666785*q\/3 - 111131\/3 = 0.\nAnswer: -111131, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 346?\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 222367480 to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-4) + 11 - 3. Suppose 4*x + f = 1461, -2*f = 5*x - s*x + 728. What are the prime factors of x?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 204, 323, 442, 561, 680, 799?\n\"Answer: 119*h + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117\/(-324)*6 - 297\/(-135).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.22 - 13.22. Let n = -8 - p. Which is the second smallest value? (a) 1\/3 (b) 4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 5*q**4\/3 - 5*q**3\/6 - 3*q**2 + 24*q. What is the tens digit of o(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = m, p - 2*p - 3*m + 5 = 0. Let o be 0*1\/2 - -1. Put p, 3, o in ascending order.\nAnswer: o, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 s when four letters picked without replacement from {o: 5, y: 3, s: 1, v: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 25.1584232875 - -0.155\nAnswer: 25.3134232875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, p: 3}. Give prob of picking 3 d and 1 p.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 104\/32 - 28\/(-16). Let a be u*(-12)\/10 + -1*91. Does a = -97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (175\/975)\/(14\/(-4))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {f: 4, s: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 28758055 divided by -2\nAnswer: -28758055\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 19665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + y**2 - y**3 + (0 + 2*y**3 + 0)*(-3 + 4 + 6))*(y + 4 - 4)*(2 + 1 - 2).\nAnswer: 13*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yobbklk. What is prob of picking 2 k and 1 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 2. Let q(j) = 2*j - 4. Suppose 3*w = -4*u - 11 - 29, 5*u = -w - 39. Determine u*c(m) - 4*q(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/3)\/(10\/6). What is the nearest to 2\/11 in 2, 1\/5, u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*s + 3. Suppose s*d = -2*d + 40. Calculate the remainder when 15 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-4 - (-3 + -8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -79*r + 100*r - 7917. What is the highest common divisor of r and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.017 - -0.017. Sort r, 0.2, 0.4.\nAnswer: r, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 3*c**2 + 3\/10*c**6 + 0*c**4 + 0*c**5 + 0*c**3 + 0 - 4*c. What is the derivative of r(g) wrt g?\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (128\/(-11) + 12)*22\/36. Which is the nearest to 0? (a) 30 (b) -5 (c) 2 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + p = 10*p - 2*x - 122, 0 = -7*p + x - 4*x + 97 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 + 81*o**2 - 31*o - 66. Determine t(40).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 105822612*a**3 + 24878939 with respect to a.\nAnswer: 317467836*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 1. Let c(q) = -q + 4. Suppose -5*r = 3*g - 54, -72 = -6*g + 2*g + 3*r. Suppose -4*a + g = -14. Suppose -3*t + 1 = -a. Give t*i(j) - c(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10130011121 (base 4) to base 11.\nAnswer: 725267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6389, -6299, -6209, -6119?\n\"Answer: 90*c - 6479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87662, 87661, 87660?\nAnswer: 87659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 866193 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -6621554?\nAnswer: -6621552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-1 - 2) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-2 + 2 - 1)*(2608 + 71*g - 2608).\nAnswer: 71*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49870?\nAnswer: 2, 5, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1037 and 3082746.\nAnswer: 188047506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -22 - -18 - (-9 - (2 - 2)). Let v be 7 - (10 - (-10 + 12)). Sort 1, v, r, 46.\nAnswer: v, 1, r, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 4*j + 5*j)*(-28*j**3 + 30*j**3 + 40*j**3) + 4 - 4 + j**4.\nAnswer: 253*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 174 and 66.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 - 44. What is the remainder when 47 is divided by d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, d: 1, a: 2, i: 2, q: 1}. Give prob of picking 1 i and 1 a.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -619795 divided by 59?\nAnswer: -10505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2995, -6646, -10297?\nAnswer: -13948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/588 and -55\/4606.\nAnswer: 27636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + 3.8. Let d = 6 - s. Which is smaller: 2\/11 or d?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/15744 and 173\/38400?\nAnswer: 1574400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141148*h + 254*h**2 - 141148*h.\nAnswer: 254*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 4*n - 6*n + (4 + 3 - 5)*(2*n - n + 3*n))*(-7 + 30 + 38).\nAnswer: 305*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5093 and 2189?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 969*v**2\/5 - 4134*v\/5 + 1032\/5 = 0. What is v?\nAnswer: 86\/323, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 3*b**2 + 16*b - 28. Let w be t(2). Suppose -2*j + 0*j + 2*s + 810 = w, 4*s + 405 = j. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2243*b - 16. Let q(u) = -561*u + 4. Determine -9*q(z) - 2*y(z).\nAnswer: 563*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27)\/36 - 30\/(-8). Suppose 4*f + 7 = 55. Let l = f + r. What is the greatest common divisor of l and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*l - 19 = 112, -2*w - 3*l = -44. Which is greater: 51\/2 or w?\nAnswer: 51\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -3*y**5\/10 - 9*y**4\/4 - y**2\/2 - 94*y - 1. Find the third derivative of u(h) wrt h.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + v**2 - 4*v + 1132. What is the units digit of k(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1565*k + 3392*k + 1596000 = -9043*k for k.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 79 (base 11) to base 8\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86384 and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21506 + -21506. Solve m = -17*i + 84 + 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**3 - 4*z**3 - 2*z**3 + z + 1 + (4*z + 1 - 1)*(-3*z**2 + 5*z**2 - 4*z**2) in the form n + i*z + v*z**3 + u*z**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12475027323 and 0.5.\nAnswer: -12475027322.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -684 + 676 - (-49 + -1 + -3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.4 in 0.06, -4, -2\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 1. Suppose 110 = 8*b - w*b. Suppose 5*o - b = -3*n, 2*n - 18 = -3*n + o. Solve -3*s + 5*g - 2 = 0, -8*s + g + n = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from snsnmsdrsddx?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/167, -1.1077, -5?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 593388 by 36.\nAnswer: 16483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 197372*b**3*u**3 - 8*b**3 + 393*u**2 + 1 wrt u?\nAnswer: 1184232*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(216)*3)\/sqrt(6))\/(sqrt(2) - 4*sqrt(50)))\/((-2*sqrt(648))\/(sqrt(162)*-2)).\nAnswer: -9*sqrt(2)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18133072 rounded to two decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 4:32 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -356896 divided by -4?\nAnswer: 89224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 130, 0.5, 0.18, -2\/35, 730?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wq when two letters picked without replacement from awxqqzf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -4. Let w be (-35)\/(-8) + -2 + -2. Is d > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.33 and 238.454.\nAnswer: 238.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9388\/((-56)\/36*3 + -5 + 10).\nAnswer: 2, 3, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uk when two letters picked without replacement from uuuk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + w**2 + w - 13. Calculate z(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.98878 take away -2?\nAnswer: 10.98878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 57 and 6?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -102.6054 * 0.3\nAnswer: -30.78162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3086220.5 to the nearest one thousand.\nAnswer: 3086000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7412 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: What is 53 minutes after 8:11 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*q = -19203 - 8461. Is q equal to -532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12495600 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -38292 (base 14) in base 4?\nAnswer: -201213320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 11) + -1 + -7 + 19. Let d(i) be the third derivative of 14*i**2 - 5\/3*i**3 + t*i + 1\/8*i**4 + 1\/60*i**5 + 0. Factor d(m).\nAnswer: (m - 2)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6490 and 92630.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**2 - 2*p**2 - 5 - 4*p**2 + 364*p + 2*p**2 + 92*p.\nAnswer: 2*p**2 + 456*p - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2059428 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 5*l = -2. Let w be ((-370)\/(-50))\/(l\/(-10)). Let b be w\/(-7) - (-2)\/7. Sort -2\/13, 5, b.\nAnswer: b, -2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 8:31 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-5) + -4 + 26. Let t be (5\/y)\/(28\/64). Let a = 3 - 5. What is the smallest value in t, 0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**11)\/(y\/y**(5\/4)*y))**(7\/5) assuming y is positive.\nAnswer: y**(-301\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 78*m - 227. Solve -1 = p - j, p = 3*p - m*j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 92 + 13. Let r be (38\/(-3))\/(7\/(n\/(-10))). What is the tens digit of 5540\/35 + (-3 - r\/(-7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 43*b + 218. What is t(-43)?\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (2 - 1)) + (37 - 54)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -12*h - 1. Let n be b(-1). Let o = -9 + n. Which is greater: -3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-6) + (-287120)\/8880?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5405866 is divided by 31799.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*c + 9, 3*c - 6 = -2*b - 5. Let r = 4 + c. What is the remainder when 8 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((10\/133)\/((-984)\/(-574))*(-18)\/60)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 3. Let m(a) = 8782*a**2. Give t(m(l)).\nAnswer: 8782*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + 10100100110010?\nAnswer: 10100100111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 8:09 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 + 54 = 13*c - 11*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l + 9*l - 5761 - 375 = 47*l for l.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8537069*b**2 + b*c**2 - c**2 - 14214823*c - 1 with respect to b.\nAnswer: -17074138*b + c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-21))\/(0 + 8\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22240012511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000469167628 rounded to seven decimal places?\nAnswer: 0.0004692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70074083.\nAnswer: 239, 449, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33002 is divided by 223?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 14 and 44\/245 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 612 = -54*l - 16*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -28643, -3.34, 0 in descending order.\nAnswer: 0, -3.34, -28643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 484, 0, 3\/5, 2.7, -5.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14337208 to the nearest integer?\nAnswer: 3786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(104) + (2*sqrt(104) - sqrt(104))))\/(2*sqrt(1152) + sqrt(1152)).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 11:12 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 2:39 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h + 21*h - 2 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6802 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168304 is divided by 56083?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-53)\/10 + -107 + (-73158)\/(-685)\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*y - 73*y - 10*g = -68, 4*y - 68 = -0*y + 3*g for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*171\/(-12)*2\/3. Let b = 33 + m. What is the smallest common multiple of b and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -37ac0 - 99?\nAnswer: -37b59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10446.\nAnswer: 2, 3, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101 - -125. Calculate the least common multiple of 48 and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -641516*y**3 - 10*y**2 + 32*y + 177803?\nAnswer: -3849096*y - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*3*(sqrt(209) + -2*sqrt(209) - sqrt(209)))\/((sqrt(55)\/(sqrt(45) - sqrt(5)) - sqrt(11)) + sqrt(891)*3 + sqrt(891)).\nAnswer: 72*sqrt(19)\/71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/(z*z\/(z*z**8*z))*z*z*z)\/z*z)\/(z**(2\/57)\/z) assuming z is positive.\nAnswer: z**(853\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 20. Let b = -11 - f. Solve 0*t - b = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(55)\/(sqrt(5)*2) - sqrt(132)\/(2*sqrt(12))) + -6*sqrt(539)*1).\nAnswer: 168*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -183 by 2.\nAnswer: -183\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 3 + -1 + (26\/5 - (-896002)\/(-6935))?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 3. Let f(r) = -11*r**2 + 56*r - 4. Give f(k) + 2*q(k).\nAnswer: -13*k**2 + 56*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**3 - f**2 - 3*f + 1. Let g be n(2). Let d = -5 + g. Let x = d + -1. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 15 - -11) + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 294980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q + 2*q**2 - 4*q**2 - 3*q)*(4 - 4 - 2*q**2 + (-2 + 2 + q)*(3*q - 2*q + 0*q) + 3*q**2 - q**2 - 4*q**2) - 8*q**4 - 10*q**2 + 10*q**2.\nAnswer: -2*q**4 - 9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348744?\nAnswer: 2, 3, 11, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 16100?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1324 - 1?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 152006051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/43 and 44\/173.\nAnswer: 7439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**3 + 39209*s**2 - 4357126*s - 2188365 = 0.\nAnswer: -19715, -1\/2, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 12*s**2 - 3*s + 9. Calculate m(6).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19058214 a multiple of 2507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((-64)\/(-24))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -552 + 560. Calculate the highest common divisor of 392 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 15) in base 2?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 700 = -u - 651, -2*p = -3*u + 97. Sort -1, u, 1, -62 in descending order.\nAnswer: u, 1, -1, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.072, -7.8612, -4?\nAnswer: -7.8612","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7413382803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -28 in decreasing order.\nAnswer: 1, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1008))**2 - sqrt(1008)) + 4 - sqrt(14)\/(sqrt(2) + sqrt(8))*-5.\nAnswer: -31*sqrt(7)\/3 + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -43, 6, 9.\nAnswer: -43, -5, 2, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 5 - (7 + -21 + 15)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38103 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1 - 2 = 0. Suppose -p*j + 8665593 = 2*v - 1234413, 0 = -3*j + 2*v + 9899994. Suppose x = -0*x - j. Round x to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b + 398 - 7*b + 4*b in the form c*b + v and give v.\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 8*m + 465 = 0. List the prime factors of m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -382*u + 387*u + 3*n, -n = -u + 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*f = 1975 + 4028 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -467 + 478. Solve -4*n + 2*d = -2, 4*n + 4*d = -x - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5535 + -5220?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6652791 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 9, k: 2}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*r - 30*r = 504 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.8, 14652, 1, 2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -2) + (108\/(-6))\/3. Let k be (-9)\/r*(-10)\/(-6). Find the second derivative of -27*d + 11*d + k*d**3 + 3*d**3 + d**3 wrt d.\nAnswer: 54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 11. Let c(w) = -2*w**3 + 5*w**2 - 5. Let o(b) be the second derivative of -b**5\/20 + b**4\/6 - b**2 - 42*b + 1. What is l*c(k) + 10*o(k)?\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 306 = -2*p, -2*f - p + 1 = -122. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 19, 21, -7, 3, 56 in increasing order.\nAnswer: -7, -4, 3, 4, 19, 21, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 11:42 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11110010 (base 2) to base 13\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15888964 to the nearest integer?\nAnswer: 3986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35.6 + 36. Let c = 1 - 3. Let o = 2.3 + c. What is the biggest value in o, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/15*(-20)\/6. Let l = p + 1. Let y(g) be the second derivative of -g**3\/6 - 3*g**2\/2 - 11*g. Determine y(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 29.\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - u + 15, -3*u + 27 = -3*j + 2*u. Let v(m) = m**2 + 6*m + 1. What is v(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42955, -42961, -42973, -42991, -43015, -43045?\nAnswer: -43081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(385)*-2)\/sqrt(11))\/(-2*sqrt(7)*5 - sqrt(7) - (sqrt(7) - (sqrt(112)\/sqrt(4))\/sqrt(4)))*-6)**2.\nAnswer: 6480\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w**3 + w**2 - 5*w - 2. Let c(p) = -6*p**3 - 6*p - 3. Let d(i) = -2*c(i) + 3*q(i). Let m(y) = -3*y**3 + 4*y**2 - 4*y. What is -4*d(j) + 3*m(j)?\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v - 15. Let d be b(6). Suppose -d*m = -26*m - 100. Let n = m - -24. Calculate the smallest common multiple of n and 38.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 13*j**2 + j - 2. What are the prime factors of v(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4038 - -766. Let r be (-1110*1 + -1)*3. Let w = r + v. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -670, -838, -1118, -1510, -2014, -2630?\nAnswer: -3358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2531 divide 1681725481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/h**(-7\/4)*h))\/h**(3\/10))\/(h**(4\/13)\/h*h)**(36\/7))**36 assuming h is positive.\nAnswer: h**(-75879\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 8679\/(-21) + 4\/14. Let c = -676 - x. Find the common denominator of 49\/3 and 4\/(-1) + (-385)\/c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*y + 8804*y**3 + 54 - 54 + 25*y.\nAnswer: 8804*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26692.\nAnswer: 2, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 14) to base 2.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 670 a factor of 1534970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10607519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*r + 50 + 46 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 118401, 118442, 118487, 118536?\n\"Answer: 2*n**2 + 35*n + 118364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -225 + 225. Let i be 6 + y + -25 + 8. Sort i, 1, 0 in decreasing order.\nAnswer: 1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 l when three letters picked without replacement from {n: 5, q: 2, d: 4, l: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5716905 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2093 smaller than -2091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 913.826043 to the nearest 10.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 369865069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 8*y - 4*c + 48, c - 42 = 9*y - 6*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(6\/5)*w**(-6\/7)*w*w**(-4)*w\/(((w*w**(-3\/5)*w)\/w)\/w*w))**(13\/6) assuming w is positive.\nAnswer: w**(-156\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5*f*f\/f**(-1\/4))**(11\/4)\/((f*f\/f**(-1\/2)*f**(-3\/8))\/(f\/(f\/f**(2\/3))*f**(-2))) assuming f is positive.\nAnswer: f**(791\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4183971 is divided by 79.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 228.63986 and 27.81.\nAnswer: 256.44986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 35*a = -60. Solve 3*u - 9 = i, -a*i + 6 = 2*u - 3*i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)\/h)**(-2\/5)\/(h*h**(-2\/7)*h**(-1\/4))*h*h**(-2\/13)*h\/h**(-6)*(h*h**(-8))\/((h\/h**(-6))\/h) assuming h is positive.\nAnswer: h**(-8769\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = q - 3*u, 5*q - 5*u + 5 = 0. Suppose q*l = 2*l + 3*k - 15, -2*k - 54 = -4*l. Solve l = 2*o + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3, 4*u + 2*y + 697 = -3*y. Let g = u + 339. Suppose 4*j - p - g = 0, -3*j - 2*j - 5*p + 220 = 0. Calculate the highest common factor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1378, 1364, 1332, 1276, 1190, 1068, 904, 692?\n\"Answer: -a**3 - 3*a**2 + 2*a + 1380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 3*u = 12, 2*m - 2*u - 3 = 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1700)*5)**2.\nAnswer: 680000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in grams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3026*m*y**3 + 58*m*y + 4*m + 2*y**2 wrt y.\nAnswer: -18156*m*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 8:08 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (91\/(-28) + 2)\/((-1)\/4). Solve -5*l - 43 = -d*k - 18, 20 = 5*l + 4*k for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1\/2, -187434, -0.2 in increasing order.\nAnswer: -187434, -1\/2, -0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**3\/7 + 175832*w**2\/7 - 125612*w - 1055112\/7 = 0. Calculate w.\nAnswer: -43963, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is b3b1 (base 12) in base 11?\nAnswer: 13784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (187 - 187 - 1281*q)*(-q - 3*q + 3*q).\nAnswer: 1281*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*i = 3, -3*i + 21 = -g + 3*g. Let r = g - 0. Suppose -18*p = 42 - 132. Solve -12 = 5*n + r*b + b, -p*b + 6 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 5:51 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -150 - -157. What is the remainder when 4\/(-18) - (-155)\/9 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1296 is divided by 750.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/13631408 and -1\/8519630?\nAnswer: 68157040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*s = 131*s - 936. Let r = 0.1 - 0. Sort 36, s, r in decreasing order.\nAnswer: 36, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 427836, 855680, 1283526, 1711374, 2139224, 2567076?\nAnswer: 2994930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 27. Let g(l) = -l. Let t(w) = 2*g(w) + 2*x(w). Let u be t(13). Solve -2*d = -4*z + 6, u + 4 = -2*d - z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2 = -4*c, 0*c = 4*c + 3*g - 1. What is the tens digit of 1\/((-3)\/66*c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16384 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 405985211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 163159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**5\/140 + 65*p**4\/56 - 128*p**2. Find a such that y(a) = 0.\nAnswer: 0, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 32*m + 464. Is a(20) a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000018429 rounded to six decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o - 59. Let f(v) = -8*v + 57. Let x(t) = -7*d(t) - 6*f(t). Let i be (-1)\/(-1) + -1 + 20. What is the tens digit of x(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s + s**2 + 4 - 7*s + 2*s + 0*s**2. Give p(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.52, -6, -2 in ascending order.\nAnswer: -6, -2, -0.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 2. Suppose i*k + 23 = 2*r - 7, 5*k = 25. Let u = -15 + r. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/2 + -1 + 32. Suppose -5*u + 21 + v = 0. Calculate the least common multiple of 2 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1418340649.\nAnswer: 11, 128940059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 624 = 3*r. Suppose -r - 206 = -5*k - i, -5*i - 88 = -k. Does 23 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 6*v - 6. Let l be g(-6). Let j(k) = -k - 6. Let q be j(l). Suppose -3*o + 30 + 0 = q. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58\/77 - -5851\/308. Let i be (4711\/(-231))\/(-2 - (-379)\/189). Let u = -3858 - i. Find the common denominator of u and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 - (1 + 19 + -175 + 156)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 + 128\/3. Let d = 85 - 68.9. Let t = d - 16. Which is the closest to t? (a) p (b) -5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**3 - 14*r**2 - 10*r + 6. Determine j(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j + 12. Let c(x) = -3 - x - 8 + 7. Suppose -29*g + 38*g = 18. Give g*b(v) + 7*c(v).\nAnswer: v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 491862 and 378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 666 = o, -23 - 203 = -m + o. Let s = 312 - m. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a gram in milligrams?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 15*h - 11*h + 30 = 0, 4*p - 2 = 2*h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/19, 5\/2, 2\/235, 5?\nAnswer: 2\/235","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 163477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 + -56. Calculate the highest common divisor of 105 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100111110 (base 2) to base 14.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d + 5 - 5 + (5*d + 1 - 1)*(-4 + 2 + 1)*(3 - 3 + 3).\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0\/(a\/(a*a*(a*a*a\/(a*a**3))\/a)))**4 assuming a is positive.\nAnswer: a**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-4) + (-1256500)\/(-80). Suppose x = 27*h - 495. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 10:02 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 74469 divided by 24823\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256364741.\nAnswer: 71, 3610771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - ((0 - 7) + 22 + -22)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 892.3 + -935. Round u to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(432) + sqrt(432)*-1 + sqrt(432) + sqrt(432))*-6 + (sqrt(3) + sqrt(147)*1)*-3)*2)**2 + -5.\nAnswer: -5376*sqrt(3) + 338747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 290285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -22. Let m be 8\/10*10\/2. Let p be (2\/m)\/((-1)\/(-12)). Solve -3 = -x - t, 0*x + f*t = x + p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -55671 and 37390.7215?\nAnswer: 93061.7215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(8*5\/100)\/(56\/700)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4404\/(-2569) + (-136)\/(-14). Solve -8*w = -5*w - k + 2, -3*w = 5*k + h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8293?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -33752 (base 13) to base 3\nAnswer: -11202021212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 648*a**2 - 520 + 1030 - 510 as i*a**2 + w + y*a and give i.\nAnswer: 648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(76) - ((sqrt(76) - sqrt(76)*-2) + sqrt(76))) + 0)**2 - (1 + sqrt(38)\/sqrt(2)*-2)).\nAnswer: -3415 - 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 1, -12, 385, 1680 in increasing order.\nAnswer: -12, 1, 2, 5, 385, 1680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**5\/3 + 22*t**4\/3 + 34*t**3\/3 - 166*t**2\/3 - 156*t - 96 = 0.\nAnswer: -8, -3, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 2*c - 2. Let m(f) = -5*f**2 + 35*f + 5. Let j(i) = -6*b(i) - m(i). Let l be j(-23). Solve l*g - 13*g = -30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -19. Suppose n - 10 + q = -2*c, -4 = 2*n. Let v = 6 - c. Let u(p) = -3*p**2. Give u(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 591501582 to the nearest integer?\nAnswer: 24321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -149 + 176 + (7 - -15 - 34)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(10428 + 338*b - 10428).\nAnswer: -338*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/10*7\/(210\/12). Let j = 6 + -10. Which is the nearest to 1\/4? (a) -3\/5 (b) t (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-8))\/3*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 2321 = x. Let y = x - -233. What is the remainder when 55 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -12. Let n(b) = -b**2 - 8*b + 19. What is the lowest common multiple of n(y) and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40*38\/6916*26.\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**4\/6 + 2*v**2. Let w(t) = -8707 - 18*t - 8705 - t**2 + 17412. Suppose -5*z + z - 72 = 0. Give z*q(x) - 4*w(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 90*i + 672.\nAnswer: 3*(i - 16)*(i - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i - 137. Suppose 4*s + 16 = -2*p, 19 = -3*p - 5*s - 1. Let q be j(p). Is q smaller than -136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/2)\/7*48\/(-252).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -177997*c - 109422 wrt c.\nAnswer: -177997","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3992, 7984, 11976?\nAnswer: 15968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3 - 4 + 2 + 1 + (-3 + 5 - 4)*(2 + 1 - 4) + 0 + 2 - 1 - 1 - 3 + 2 + 4 - 2 - 1)*(f**3 + 0*f + 0*f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 3*n + n)*(-1695 + 1578 + 780 + 2*n) to the form l*n + t*n**2 + y and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c**2 + c**2 - c**2)*(-20 - 29 + 32) to the form v + p*c + x*c**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 112.1 - 119. Let r = -7 - j. What is the closest to 3 in r, -2, -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/6*5\/(75\/18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 42*m**2 - 2*m - 2. Let r(k) = 2*k**3 - 82*k**2 + 5*k + 5. What is -5*o(p) - 2*r(p)?\nAnswer: p**3 - 46*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23728121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99\/56 - -15\/7. Let r = 49\/8 - t. What is the common denominator of 25\/22 and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a - 6. Let r(s) = 3*s + 6. Let i(u) = 2. Let w(c) = 2*i(c) - r(c). Determine 2*h(v) - 7*w(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1448, -1884, -2320, -2756?\n\"Answer: -436*m - 1012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 b, and 1 h when four letters picked without replacement from dbbhhababdbhbddaddh.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -87?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2614, 8105, 16468, 27703, 41810, 58789?\n\"Answer: 1436*f**2 + 1183*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l**3 - 2*l**2 + l + 1. What is c(2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1493*y**2 + 453*y**2 + 494*y**2 + 465*y**2.\nAnswer: -81*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 r when three letters picked without replacement from {g: 4, r: 2, i: 2, p: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18551 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: Divide 5 by -503495.\nAnswer: -1\/100699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 110+2\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 + 219 = 5*o. Let v(n) = 428*n**3 + 5*n**2 - 4*n - 1. Let k be v(1). Let a = 438 - k. Calculate the remainder when o is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110590581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**2*r**2 + 2*n**2*r + 67*n**2 + n*r + 666*r**2 wrt r.\nAnswer: 2*n**2 + 1332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0.4, 1, -0.5 in decreasing order.\nAnswer: 1, 0.4, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5922 + -3257. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -1\/12*m**3 + 1\/2*m**2 - m - 4. Solve f(x) = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 10, 6\/11, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/(-42))\/((-2)\/(-4 - -2)). Let c(a) be the first derivative of 1\/3*a**2 - 1\/9*a**3 - r*a + 2. Find w such that c(w) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*l - 54628, 243*q - 54691 = -3*l + 239*q. What is the highest common divisor of 133 and l?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5400\/39780*156\/30?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1876 - -0.5\nAnswer: -1875.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -42 - 92*j + 113*j + 42 - 73*j. Let l(x) = -153*x. What is z(l(k))?\nAnswer: 7956*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/44)\/(21\/(-84)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**2 - 4 + 4)*(-16 + 1 + 2) + (-20 + 10*i + 20)*(i + 3*i - 5*i) in the form f*i + r*i**2 + c and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19178430 is divided by 296.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-779)\/(-123))\/((-2)\/(-6)). Let q(k) = -4*k + 78. Let c be q(r). Solve -4*a = -c*w - 10, 0 = w + w + a + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*g**2*k**3 + 12*g**2 + 12700*g*k**6 + 487534*g*k**2 wrt k.\nAnswer: -234*g**2 + 1524000*g*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19, 1107, 2265, 3455, 4677, 5931, 7217?\n\"Answer: 16*i**2 + 1078*i - 1113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 11:37 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -17*y**2 - 39*y - 1. Let x(i) = -3*i. Give q(x(l)).\nAnswer: -153*l**2 + 117*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-54) - (-7)\/9. Let f(w) = -3*w + 6. Let z(k) = 1. Calculate j*f(u) - 6*z(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2*r**2 + 2*r)*(3 - 3 + 2*r) - 3*r**3 + 0*r**3 + 5*r**3 + (r**2 - 2*r**2 + 0*r**2)*(2*r + 2*r - 5*r).\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 78393316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -13 + 120 + -109?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, r: 9}. What is prob of picking 1 n and 3 r?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = -31*b - 152 - 138 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 10*p + 8. Let j be -4 + (-2)\/((-6)\/9). Let u be j - (-2 - 9) - 4. Give y(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11020.\nAnswer: 2, 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -348 + 355. Let o = -28 - -189. Calculate the greatest common factor of o and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 6*o**2 + 7*o - 6. Let d be u(5). Let c(y) = -y**3 + 6*y**2 - 8*y + 2. Let a be c(d). Suppose -a*j - 46 = -48. Is j bigger than 1\/84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/197652 and -53\/9.\nAnswer: 592956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4)\/l*l*l*l*l\/l**(-2\/9)*l)\/(l*l**(2\/5))**(-30))\/(((l*l*l**(-10)*l)\/l)\/l*l*l\/(l*l**(1\/16)))**(3\/7) assuming l is positive.\nAnswer: l**(50327\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 5, 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112789\/521 - -15\/1042. Is q greater than 216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 72 = -7*n. Let o be (54\/n)\/(-3 - 87\/(-28)). Is -56 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 10 = -v - v, -3*v - 3 = 0. Suppose 0 = -4*s + k + 23, 3*s + 5*k - 31 = -8. Let w = l - s. Are 0.2 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9\/44 - 1063\/396. Find the common denominator of -45\/7 and q.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-10) - (-6)\/30. Suppose -c = z*c - 3210000. What is c rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 10. Let x = -9 - w. Let t be 1 + (60\/(-16) - -3). Which is the nearest to t? (a) 0.2 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((3 - 2)*4)\/(-1 + 2). What is the nearest to m in -2\/5, -2\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.005 (b) 1 (c) -5 (d) 0 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppzz when four letters picked without replacement from {b: 4, z: 8, p: 5}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -43 - (37 + 93 + -114)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in 5, 1\/8, -1\/2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 89.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times -231\nAnswer: 16.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12024, 12387, 13206, 14655, 16908?\nAnswer: 20139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 14*u**2 + 2*u - 8. Let g be s(3). Let b be (-3)\/(-21) - g\/(-14). Solve o + 2*o + b = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4612156 and 8.\nAnswer: 9224312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32689.\nAnswer: 97, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/7)\/(-3) + 0. Which is the closest to 2\/3? (a) -0.5 (b) r (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4798 is divided by 4786.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*v + 7429 = 22552, 0 = 2*o + 2*v - 10082. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 k, and 1 c when four letters picked without replacement from {c: 2, d: 1, j: 4, k: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4174656397 to the power of 1\/2, to the nearest integer?\nAnswer: 64612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -268352*0.142.\nAnswer: -38105.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72.93 - 1.07. Let m = f + 73.999995. Round m to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(432)*-4)**2 - ((sqrt(432)*-2)**2 + -2))*6.\nAnswer: 576*sqrt(3) + 31122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-113 + 40 - 59)*(-r**3 - 3*r**3 + 3*r**3).\nAnswer: 132*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-2)\/((-472)\/885).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38.4 + -72. What is y rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 2*o - 3*o)*(12 + 15 - 4).\nAnswer: 46*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 121?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-2) + (-4 - 45\/(-55))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.76973 weeks in hours?\nAnswer: 2649.31464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 211 or 210?\nAnswer: 211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 6 + 6*c - 56.\nAnswer: c - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 4:07 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1283550)\/(-15)*15\/75?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -585 - -585. What is the fifth biggest value in -3\/4, -0.2, l, 4, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t + 89. Calculate the remainder when y(-12) is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j**2 + 23*j - 2. Let x be n(-4). Find the third derivative of -8*m**2 - 34*m**4 + 16*m + 3*m - 2*m**3 - 22*m - 2*m**x wrt m.\nAnswer: -816*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4067, -2\/3, 0.5 in decreasing order.\nAnswer: 4067, 0.5, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*k = -10*k + 55, -2*w - 5*k = -37. Suppose -3*s + w = 6. Which is the closest to s? (a) -3 (b) 6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 11*f - 78. What is the third smallest value in f, 3, -1, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/5814*-5241 + (-7 - -53).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52182847 is divided by 756273.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igniv. What is prob of picking 1 n and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4\/7 + 26*k**3\/7 + 72*k**2\/7 = 0 for k.\nAnswer: -9, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*c - 152*c = -108*c + 1768 for c.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 7*y**2 + y + 7. Let p be z(-7). Suppose p*j - 60 = -4*j. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1852610971 and 1852610971 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**2 + 37*j**2 - 5 + 3*j + 68 - 2*j - 27*j**2.\nAnswer: 2*j**2 + j + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 3*t + 129. List the prime factors of t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8738 + 8748.927. What is r rounded to 1 dp?\nAnswer: 10.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + -6*(3*sqrt(300)*1)**2)*-1.\nAnswer: -64796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2448)*1 + 1 + -2 + 4)*-3 + 5.\nAnswer: -36*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.55424 and -0.276.\nAnswer: -1.53297024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 59. Calculate the common denominator of (-244)\/6*(-15)\/q and -103\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(99) + sqrt(99))*-5 + sqrt(99) - sqrt(99) - sqrt(99))\/sqrt(9))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20901 + 25697. Let q = 1956943\/42 - s. What is the common denominator of -31\/60 and q?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295542.\nAnswer: 2, 3, 13, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 4) + 3 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 6 = -3*h + 2*p, 5*h - 2*p + 7 = 0. Let a(w) = -2*w + 1. Let o be a(h). Let u(r) = -3*r + 2*r - 3*r + o*r. Let g(d) = -4*d. What is g(u(t))?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4)*24\/(-18))\/(-1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*f + 103. Let g = -28 + f. Solve 4*u - 3 = 3*c, 0 = -2*c - 3*u - 0 - g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 29, 1, -38 in descending order.\nAnswer: 29, 2, 1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16217 - 32844. Let s = r - -232885\/14. Calculate the common denominator of s and 51\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -59, -172, -349, -590, -895?\n\"Answer: -32*a**2 - 17*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + -0.5. Let z = x - -3. What is the third biggest value in z, 0.1, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 - 9*a**2 - 6*a**2 - 7*a**2.\nAnswer: -19*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.2 + -9. Let k = 13.8 + p. Let u = k + -11.999999. Round u to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c - 28. Suppose 8*q = 5*q - 48. Let v be y(q). Let a(o) = 5*o + 5. What is the units digit of a(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 86716555 and 82.6.\nAnswer: 86716637.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 - 28*l. Let r(j) be the second derivative of 3*j**3\/2 + j**2\/2 - 9*j + 34. Calculate s(r(t)).\nAnswer: -162*t**2 - 288*t - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -51*l**2\/2 - l + 30. What is the units digit of k(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*w*z**3 - 1090216*w + 1853458*z**3 - 9*z**2 wrt z?\nAnswer: -72*w + 11120748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**2*y**2 + 88*f**2 + 620*f*y**2 + 12*f*y - 109*f with respect to y.\nAnswer: -2*f**2*y + 1240*f*y + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 3\/29?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -21. Suppose 44 = 2*l - u. Calculate the highest common divisor of l and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-15)*d\/(d\/d**21))**(3\/5) assuming d is positive.\nAnswer: d**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n. Let m(o) = o**2 + 202 - 97 - 105. Calculate s(m(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -32 - -2?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*c + 34*c + 15*c)*(0 + 2*c + 0).\nAnswer: 78*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**3 + 67*g**2 - 207*g**2 + 71*g**2 + 69*g**2.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4 + 22*m**3 - 141*m**2 + 220*m - 100 = 0. What is m?\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29, -79, -147, -227, -313?\n\"Answer: z**3 - 15*z**2 - 12*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*i + 202*i - 95*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 159, 378, 593, 804?\n\"Answer: -2*x**2 + 225*x - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -2, 0, -124, -23, -4 in decreasing order.\nAnswer: 0, -2, -4, -22, -23, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 171 = 24. Calculate the remainder when 358 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25883883.4 + -25883871.59999949. Let h = -139 + 150.8. Let x = d - h. What is x rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -881\/3697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**8\/1680 + h**5\/20 - h**3\/3 - 18*h. Let g(v) be the second derivative of s(v). Find the second derivative of g(c) wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r = 20. Let q = 14 - r. Let u(y) = 20*y**2 - 29*y**2 + 4*y + 7*y + 20*y - 14*y + 17. Let a(j) = -j**2 + 2*j + 2. Give q*u(v) + 51*a(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**4 - 2*l**3 - 2*l**2 - 2*l + 1. Let p(s) = -3*s - 4. Let k be p(-2). Let r(g) = g**3 + g**2 - g + 1. Let q(d) = k*r(d) - 2*z(d). Factor q(u).\nAnswer: 2*u*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 5*l + 4. Let i be -5 - ((-15)\/5 + 4). Let o = i - -3. What is c(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17335193 times 0.1\nAnswer: 1733519.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from sdeeseredjjjdrdrjtde?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 5:52 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -53*o + 207. Let y be w(4). Let n(q) = -q**2 - 5*q + 12. Give n(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + z. Let r(j) = j**3 + 5*j**2 + 3*j - 1. Let o(b) = -5*m(b) + r(b). Let i(f) = -f**2 - 4*f - 2. Let c be i(-4). What is o(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1782*m*o**3 - m*o**2 + 1383*m*o + 65*m - 4*o**3 + o**2 wrt o.\nAnswer: -10692*m - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288 and 7848.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2\/11 (b) 0.03 (c) 0.1 (d) -3 (e) 67 (f) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487074717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 0. Suppose d - s = 7. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -34. What is the tens digit of r\/(3\/(-6)*-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35022*d**2*m + d + 379130*m wrt d?\nAnswer: 70044*d*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 81, -2, 4, -1, -3.\nAnswer: -3, -2, -1, 4, 7, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*i + 2*o, 4*o = -9*i + 4*i + 24. Suppose -i*d = -0 + 4. Let u(z) = 3*z - 4*z**3 - 3*z + z**2 + z. Calculate u(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -259*v**2 + 21*v + 21. Let g(i) = 26*i**2 - 2*i - 2. Give -21*g(d) - 2*l(d).\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -0.0289.\nAnswer: -3.0289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = 5*c, c - 3*z = -2*c - 9. Suppose -4*n - i + 3 = c, 0 = -2*i + 17 - 27. Which is smaller: 26\/21 or n?\nAnswer: 26\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 324 - -c?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 254060 at most as big as 17022068\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2069 (base 15) to base 4\nAnswer: 1223001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-60))\/((-15)\/((-540)\/(-8))). What is the nearest to x in 2\/9, 5, 1\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11765070 divided by 2353014.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*t**3 + 2147752*t**2 - 1073879*t\/3 + 14915.\nAnswer: (t + 44745)*(12*t - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 4199100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (118 - 115) + -2 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 373*w = -369*w, 3*w = -6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.231 - -38.231. Let u = -2\/189 - -8\/27. Are u and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 966743600 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 26*q + 222. Calculate the remainder when 89 is divided by a(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*w**2 - 44*w**2 + 45*w**3)*((-1 - 2*w + 1)*(-2*w + 5*w - 4*w) + w**2 + 0*w**2 + w**2).\nAnswer: 180*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -748 divided by 44\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205446?\nAnswer: 2, 3, 97, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5210270.53999865 - 5210271. Let q = -0.46 - s. Round q to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/(t\/t**3))\/t))\/(t**(-1\/10)*t))**50\/(t*t**(-8)*t\/(t\/t**(-2)))**(17\/3) assuming t is positive.\nAnswer: t**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 824 and 6?\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -17*x**6\/30 + 11*x**4\/12 - 16*x. What is the third derivative of w(g) wrt g?\nAnswer: -408*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 1\/35*q**5 + 2\/147*q**7 - 4\/105*q**6 - 3*q + 0*q**3 + 0*q**4 + 0*q**2 + 0. Factor s(v).\nAnswer: 4*v**3*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 less than 274104\/3047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1.75, -4, -2, -3\/2, -5.\nAnswer: -13, -5, -4, -2, -1.75, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three sevenths of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from afutthtuaaafahhaffhp. What is prob of sequence ahhu?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48661223 divided by -48661223.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 32 - 17. Let q be 8*(-1 - (-6)\/4). Let v be ((-2)\/q)\/((-3)\/18). Solve -2 = 2*c, -l*c - 19 = v*s - c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 164643625, 164643621, 164643619, 164643619, 164643621, 164643625, 164643631?\n\"Answer: g**2 - 7*g + 164643631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 18*z**2 - 16*z + 8. Let y(a) = a**2 - 2*a + 1. Let p(o) = -b(o) + 8*y(o). Let r(t) = -4*t. What is r(p(x))?\nAnswer: 40*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15513 (base 8) to base 5.\nAnswer: 210422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 - 16*w**2 + 14*w**2 + 9*w**2.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 824286 and 8214.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*s**2 - 6*s**2 + 10*s**2 + 4*s**2 + s to i*s + n*s**2 + a and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3387 - -12680. List the prime factors of w.\nAnswer: 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**5\/5 + 14547*a**4\/5 - 17583621*a**3\/5 - 123580371*a**2\/5 - 265152168*a\/5 - 159169968\/5 = 0 for a.\nAnswer: -3, -1, 2428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 171 = s. Let o be (s\/18)\/(1\/14). Let q = o + -79. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 984062951?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**5\/20 + r**4\/2 + 5*r**3\/6 + 5*r**2 - 127429*r. Let k = -11 - -18. What is q(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65475481 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3607, 3606, 3605?\nAnswer: 3604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3428659 and 1307839?\nAnswer: 126860383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 135 and 25.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -91*r - 89. Calculate t(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + -0.1. Which is the biggest value? (a) -1\/3 (b) 1\/6 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m - 4*y, m + 3*y = 0. Suppose -3*a + 84 = 2*i, 2*i + a = 56 + 32. Let d be 6\/27 - (-8)\/i. Which is greater: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -1277*b**4\/6 - 2873*b**3\/3 + 502*b**2 - b. What is the first derivative of d(u) wrt u?\nAnswer: -5108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 9744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v - 610 - 610 + 1226)*(1 - 1 - 2).\nAnswer: -14*v - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14558017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 o when four letters picked without replacement from {o: 1, e: 3, j: 1, p: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 10 = j - 1, j - 13 = -4*a. Let u = -14 + 10. Let z = -1.1 + 1. What is the nearest to z in u, j, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193, 202, 213, 226, 241, 258, 277?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 48 = 3*o. Suppose 4*y = -3*k + 4 + o, -2*y = 4*k. What is the remainder when y is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1714*z + 4. Let h be k(-14). Round h to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**3 - 4*a**2 + 7. Let i be c(4). Calculate the greatest common factor of 15 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -929 + 931. Let r = 1 + -1. Differentiate r + t - 6*i**2 - 2*i**2 + i**2 with respect to i.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l**2 - 10935*l - 10944*l - 10940*l + 43768*l - 10949*l.\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*v**4 - 19558*v**3 + 172369*v wrt v?\nAnswer: 36*v**2 - 117348*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/3)\/h*h*(h*h**(-5)\/h*h*h)\/h*(h*h**(2\/3))**(-39))\/((h*(h\/(h**(-2\/5)\/h))\/h)**(-15\/7)\/(h\/h**(-2))**(3\/40)) assuming h is positive.\nAnswer: h**(-53171\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34463385283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67600843?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 206864315 and -3.5393.\nAnswer: 206864311.4607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1517 divided by -98210\nAnswer: 1517\/98210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -659 - -654. Let m(j) = -234*j**2 + 91*j. Let d(r) = 13*r**2 - 5*r. Determine p*m(h) - 91*d(h).\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0468 + -0.2532. What is the nearest to 1 in -2, f, -3.19?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*n*y**4 + 93073*n + 2*y**4 - 5010*y**2 wrt y?\nAnswer: 12*n*y**3 + 8*y**3 - 10020*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 10*k + 2. Let d be s(1). Let n(j) = 3*j**2 + 13*j + d + 4*j**2 - 5*j**2. Does 9 divide n(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435665365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1338, -1258, -1046, -636, 38, 1042, 2442?\nAnswer: 4304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (36\/(-20))\/3 + (-90923)\/12245?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2 - i - 2. Let t(r) = 12*r + 90. Let q be t(-7). Let w = 44 - 16. Suppose 0*f + 4*f = w. Let y(p) = -5*p**2 + p + 2. Calculate f*n(k) + q*y(k).\nAnswer: -2*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 128100.\nAnswer: 128100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*u + 30 = 56*u. Suppose -i = 2*i. Which is smaller: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - 2167b0?\nAnswer: -2167b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1225\/98)\/((9\/(-12))\/((-6)\/(-4))).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 27*w**2 + 2*w - 3. Let z(t) = -26*t**2 - 2*t + 4. What is -4*x(l) - 3*z(l)?\nAnswer: -30*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**4\/3 + 40*h**3\/3 - 146*h**2 + 760*h\/3 - 361\/3 = 0.\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j. Let s(d) be the first derivative of 31 + 0*d**2 - 11\/3*d**3 + 0*d. Calculate s(b(z)).\nAnswer: -275*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2 + 3 - 45*p**3.\nAnswer: -45*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 4. Let j be p(-2). Let h be j\/(-7) + (-519)\/(-21). Calculate the greatest common factor of h and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4455\/540*(-568)\/639?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634 is divided by 238?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2237 + -2235. Solve n*u = -2*g - 6, -g - 3*u - 3 = 2*u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*w + 8*w + 8*w - w as r*w + i and give r.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2169443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2767402*d + 11131515 wrt d?\nAnswer: -2767402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 12 (b) -2 (c) -0.3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(21\/(-126)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -147 + 146.6. Let l be (2\/40 + 0)*-6. What is the closest to 0.1 in -5, l, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 7 - 6 = 3*f, 14*f - 4*o = -54 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384342 is divided by 40.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 89 = 25*r - 118*r + p, -8*r + 4*r + 2*p = -4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/46)\/(-1 - 7 - -5). Let o = -0.0993 - -0.2993. Are o and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42282 - -56355. Is 119 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s + 3. Let k = 1992 + -2000. Let x(c) = 2*c**2 + 19 + 11*c + c**2 - 2*c**2. Let v be x(k). What is f(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -40455, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -176524734 to the nearest 100000.\nAnswer: -176500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - y**2 - y + 2. Let d be k(0). Let n = d + 5. Calculate the least common multiple of n and (-15)\/(-12) - (-2)\/(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 3*(-2)\/(-9). Let j = 14.1 - 13.8. Let o be ((-8)\/10)\/((-352)\/(-80)). What is the closest to j in o, -4\/5, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(9\/4)*(-29)\/((-3248)\/(-210))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*g - 12, -7 = -3*g + n + 10. Solve -g*m = -15 - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c - 17. Suppose -4*s = -36*s - 384. Determine g(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - r**2 + 7*r + 9. Let w be a(-2). Let y(l) = -91*l + 5. Let j be y(w). Let q = 155 + j. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 - -36. Let j be -1 + 1\/(1\/(-2)). Let c = j + 3. Sort t, c, 4 in ascending order.\nAnswer: t, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t - 27*t - 84 = -40*t for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 12. Let l be ((-10)\/8*2)\/(7\/28). Determine y(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**4\/3 - 7*r**2. Let a(p) = 2*p. Calculate a(k(l)).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u - 15. Suppose 56*c = -232 - 48. What is h(c)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -0.6691?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*u + 4 + 0 = 0, 2 = -2*r + u. What is the third derivative of 0*k**6 - 2*k**6 - 5*k**2 + r*k**6 wrt k?\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 2\/3*k**3 - 1 + 8*k - 4*k**2. Factor s(t).\nAnswer: 2*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 513\/4535 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3701570 (base 11) in base 2?\nAnswer: -11000100101010000010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1110011010000 (base 2) to base 15\nAnswer: 22bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69806 and 87251154.\nAnswer: 6346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -431.32.\nAnswer: 2156.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 7. Suppose 2*d = -2*d + x. Suppose 0 = q, -d*a + 0*q = q - 166. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 176824882.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*p - 1691 - 6118 - 5655 = 0 for p.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -14155240, -0.2 in increasing order.\nAnswer: -14155240, -0.2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/((-9)\/36).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2418.\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/5, 985966 in ascending order.\nAnswer: -4, 1\/5, 985966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 64*f - 29077 = 60*f, -5*i = 2*f - 145259. List the prime factors of i.\nAnswer: 3, 23, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*i. Let v = -4 + i. What is the least common multiple of 4 and 6\/2 - (v - 5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3093041 divided by 1.\nAnswer: 3093041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7*d**3 + 9*d**2 + d + 58. Let m(z) = -3*z**3 + 4*z**2 + 25. Let g(k) = -9*m(k) + 4*w(k). Calculate g(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24*(1742\/(-39) - -41)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 2:08 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, t: 2, u: 3, l: 4}. What is prob of picking 1 s and 1 u?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 - -127\/3. What is the nearest to j in -0.2, 2, -3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q. Let l(o) = o + 1. Calculate 4*l(x) + m(x).\nAnswer: x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/5)*b)\/b*b*b**(-6\/13)\/b*(b**(-14))**(-6\/7) assuming b is positive.\nAnswer: b**(698\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 666*n**2 + 5*n + 57. Let d be f(-7). What is the second derivative of -2*z**4 + 32656*z**3 - 87*z**5 - d*z**3 - 3*z wrt z?\nAnswer: -1740*z**3 - 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d**3 - 4*d**2 - 46*d - 1. Let l(b) = 4*b**3 + 2*b**2 + 47*b. Calculate -2*a(t) - 3*l(t).\nAnswer: -2*t**3 + 2*t**2 - 49*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017047015 rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**3 + 2490*x**2 + 8754*x + 6260 = 0.\nAnswer: -5\/2, -1, 626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 975 by -75.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 9*s + 6*s = -558, -2 = s. List the prime factors of r.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -p + 2*t, -2*t - 2*t + 17 = p. Suppose p*h = 12*h - 18. What is the highest common divisor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/564)\/(2\/(-3)). Suppose -45 = -2*c - 3*m, -3*m + 61 + 11 = 3*c. Let t = 27 - c. Which is greater: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.039052 + 3.023. What is w rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - (-2 + sqrt(1331))*5)**2 - (5*(sqrt(99) - sqrt(11)) + -1*sqrt(704)).\nAnswer: -882*sqrt(11) + 21396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -2*u**3\/3 - 114*u + 2057. Let o(f) = -11*f**2. Calculate g(o(k)).\nAnswer: -242*k**4 - 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2315 (base 6) to base 12.\nAnswer: -39b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 334 - 327. Solve -6*x + s + 11 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1712, -3424, -5136?\nAnswer: -6848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17296?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -58*k - 6. Let d be b(-3). Does 13 divide ((-52)\/(-6))\/(16\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -172 + 182. Calculate the greatest common divisor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103350 (base 9) to base 16.\nAnswer: f054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -233002 divided by 154.\nAnswer: -1513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*(-1*sqrt(2662)*-5 + sqrt(2662) + sqrt(2662)))\/((sqrt(550)*1)\/(sqrt(6)\/(sqrt(3) - -2*sqrt(3)))).\nAnswer: -5 + 308*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 29*s**2 + 76*s + 55. Let m be o(26). Sort -54, m, -1, 1 in descending order.\nAnswer: m, 1, -1, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20\/79031 in 5, -0.5, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/5942673 and 149\/36.\nAnswer: 23770692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8982 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1652818 or 1652817?\nAnswer: 1652817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*c - 2*d - 112, 2*c - 5*d = -3*c + 30 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18728170, -37456343, -56184516, -74912689, -93640862, -112369035?\nAnswer: -131097208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-400)\/(-23 - -43) + -50?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11053 = l - 2*p - 11034, 0 = -6*l + 2*p - 34 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 4:58 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**6\/120 - f**5\/30 - f**4\/6 + f**3\/6 + 34*f**2. Calculate p(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12814.27, 3.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 1:24 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43277 is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, 11286, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12383 + -12378. Let f = -0.39 - 0.01. Which is the nearest to 0? (a) 0.1 (b) 0.3 (c) i (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 29214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 34 - 50 = 0. Calculate the remainder when 270 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8*-2 + 3760\/94. Solve 56 = x*s + 32 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22132 + 88525\/4. What is the closest to 4 in p, 1\/6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -663520000 to the nearest one million.\nAnswer: -664000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from wffffffw.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 378 and 486?\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2294*k**3 - 739*k**3 - 819*k**3 - 734*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**5\/20 - 71*d**3\/6 - 73*d**2 + 2*d + 38. What is the derivative of i(u) wrt u?\nAnswer: -3*u**2 - 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -17.4. What is the smallest value in 0.07, o, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 20*t + 13. Let o(j) = -51*j - 36. Let h(r) = -13*c(r) - 5*o(r). Determine h(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2))\/((117\/(-364))\/(240\/70))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 264931 or 258378?\nAnswer: 264931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 - 778*r**5 + 768*r**5 + 0*r**4 + (0*r**2 + 4*r**2 - r**2)*(-3*r**3 - 3*r**3 + 5*r**3).\nAnswer: -13*r**5 - 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 56980*t - 227840.\nAnswer: -5*(t + 4)*(t + 11392)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3692695, 7385390, 11078085, 14770780, 18463475, 22156170?\nAnswer: 25848865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/19)*n*(n*n**(3\/4)\/n)\/n*(n*n**(6\/7))\/(n*(n\/(n**0*n))\/n)*(n*n**(-6)\/n*n**(-1\/4))\/(n**(-1\/4)\/(n**(2\/5)\/n*n)) assuming n is positive.\nAnswer: n**(-7681\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 37384.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5536798 is divided by 769?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, a: 2, x: 1, t: 2}. Give prob of picking 3 o and 1 t.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 481\/518 + 10\/(-7). Let o = -0.5 - -0.5. Which is the closest to q? (a) o (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7198*n**2 - 69 - 60 + 192 - 63 in the form x*n**2 + z*n + m and give x.\nAnswer: -7198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 5*t**2 + 66*t. Let m be q(-6). Suppose 3*j = -2*o - 11626 + 78620, m = o + j - 33498. Round o to the nearest one thousand.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/2314 - -127207\/145782. Find the common denominator of k and (-4)\/(-10) - 7059\/910.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126\/56*348\/261.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/3 - (7 - 5). Let j(i) = 2*i**2 - 2*i - 14. Is 8 a factor of j(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqcvtqvwtwqtvq. What is prob of sequence vwct?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aw when two letters picked without replacement from {w: 1, a: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(91)*-4)\/(sqrt(7) - 4*sqrt(14)\/sqrt(2)).\nAnswer: -4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/20)\/((-12)\/10). Let i = 0.4 + -3.4. Which is the third smallest value? (a) 3 (b) i (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.008 - -2.66.\nAnswer: 2.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 - 19*y**2 + 12*y + 13. Let t be w(9). Calculate the greatest common factor of t and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-232)\/(-28) - 4\/14. Let a(x) = -x**2 + 6*x - 7. Let t be a(3). Solve 0*n - s = t*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/22044 and -127\/1626?\nAnswer: 5973924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010110 - -1101011010?\nAnswer: 1011000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.353 or -0.88?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/4)\/l)**16)**(4\/9)*((l\/(l*l**(-1\/4)*l))\/l)**(1\/4)\/(l\/(l\/((l*l**0*l)\/l))*l)**(-11\/4) assuming l is positive.\nAnswer: l**(-551\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 277379 divided by 103.\nAnswer: 2693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1788 is divided by 582?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16524, -33057, -49590, -66123, -82656?\n\"Answer: -16533*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -580016, -580015, -580014, -580013?\n\"Answer: w - 580017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2066 - 14*d + 2066)*(-4*d - 5*d + 38*d).\nAnswer: -406*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 7. Let m(n) = -n - 7. Let v be m(u). Find the second derivative of -j**5 - v*j**5 - 3*j - j + 5*j**5 wrt j.\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.823 + 0.123. Let b = -8 - w. Let n be 52\/273*6\/4. What is the nearest to -2\/7 in b, n, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2.5. Let z = -1.3 - -5.3. Which is the closest to 2? (a) z (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-5))\/(6\/(-30)). Let z be -1 - (-1)\/(2\/20). Solve -p*f + z = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3976032*i. Let z(u) = -2898*u. What is -4*h(t) + 5489*z(t)?\nAnswer: -2994*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-7)\/m)\/(m*m*m**5))**(9\/8) assuming m is positive.\nAnswer: m**(-135\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*h = 12. Let f be 30\/8 - 81\/108. Suppose 0*j - 4*o = h*j - 24, -f*j + 18 = -2*o. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 1484 = -625. Let k = -44386 + 135248\/3. Let d = k + a. Is -5 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -100 + 3*a - 94 + 194. Let s(c) = -18*c. What is s(b(q))?\nAnswer: -54*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 equal to 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -a**7\/84 + a**6\/60 + a**5\/30 - a**3\/3 - 1. Let f(h) be the third derivative of b(h). What is x in f(x) = 0?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 48\/7 (b) 2 (c) -0.09664\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o - 59*o - 80 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*g**3 - 8*g**3 + g**3.\nAnswer: 28*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17032972.\nAnswer: 2, 11, 23, 16831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110010 + 11000110001100001111?\nAnswer: 11000110001110000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4413 - 109?\nAnswer: -4522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.4, -2\/9, 1, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = -4*f, -4*f = -0*u + 5*u + 5. Put u, -32, -3 in increasing order.\nAnswer: -32, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -20, 8*f + 2*r + 31 = 5*r + 94 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -123 - (-51 + -64) - -51.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2505 is divided by 598.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 3*d**2 - d**3 + 7*d - 4*d. Let v(h) = -356*h - 8 - 2*h**3 + 8 + 360*h + 4*h**2. Calculate -4*m(k) + 3*v(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95 + -44. Let r = -35 + x. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14073254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - (4 + -4)\/4. Let d be ((-1)\/2)\/(2\/(-12)). Suppose -d*j + 25 = 4. What is the greatest common factor of j and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h + 15 = 5*i, 5*i = 2*h + 17 - 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 60?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/9))**(-14\/9))**(-18))**(-18\/11) assuming y is positive.\nAnswer: y**(-112\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -79437 - 101242?\nAnswer: -180679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26960 (base 10) in base 7?\nAnswer: 141413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/19)\/((-2)\/(-10)*-5)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 823 or 822?\nAnswer: 823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3737436 is divided by 1245803.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -2530 (c) 0.3 (d) -0.5 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 6)*(7*p - 9*p + 5*p) + 1 - 2*p - 1 + 1840 - 917 + 205*p - 918.\nAnswer: 206*p + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -151, -3, -288, -14.\nAnswer: -288, -151, -14, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**4 + 8*a**3 - a**2 + 2*a + 6. Suppose -2 = 3*x - 20. Let w(v) = v**4 + v**2 + 1. Let y(i) = x*w(i) - l(i). Factor y(d).\nAnswer: d*(d - 1)**2*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2711, -5405, -8081, -10739, -13379, -16001, -18605?\n\"Answer: 9*l**2 - 2721*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**5\/30 - 3*o**4\/4 + 14*o**3\/3 - 14*o**2 - 3. Let p be q(12). Are 99 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1153*t**6 - 7547*t**2.\nAnswer: 138360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 34. Let n = 29 + y. Does 3 divide 309\/n + 2\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i + 2. Let s(p) = -15*p + 10. What is -2*s(v) + 11*x(v)?\nAnswer: -3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*x + 128, -4*c + 6*c - x = 271. Which is smaller: 13 or c?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 1. Let p be (-6)\/(-27) + l\/45. What is the smallest value in -2, 4, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**3 + 645*o**2 - 27195*o + 372155 = 0. What is o?\nAnswer: 31, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 139952 = 4*l, 19787 = l - 4*g - 15191. What is the greatest common divisor of l and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**5 - 7*d**3*h - 100*d*h + 2*d wrt d?\nAnswer: -20*d**3 - 42*d*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 6*y**2 + 5*y + 3. Let j(b) = -b**2 - b. Let k(l) = 3*j(l) - w(l). Give k(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -4*g - 12, -g - 2164 = -5*p - 2161 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qli when three letters picked without replacement from lyeeyyiqeqiy.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*(-6*sqrt(11))**2*-4 + (2 + 3*sqrt(11) + (sqrt(176) + -1 + sqrt(176) + sqrt(176) - sqrt(11)))**2)*-6 + -1.\nAnswer: -168*sqrt(11) + 6065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18068829?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 648476870?\nAnswer: 2, 5, 6277, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -233 (base 4) to base 16\nAnswer: -2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 10:34 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3 (b) -2\/3 (c) 0.5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004617 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 27 = 2*x - 1, -4*x = -3*r - 31. Suppose 0 = 2*q - 2*l - 18, -2*q - q = -l - 23. Solve x = 3*v + q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 6 = -5*c. Let a be (3\/c - 2)*0. Suppose -5*t = -q - 3*t, -2*q + 3*t + 3 = a. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 0 + 0*c**3 - c**2 + 0*c - 1\/60*c**6 + 2\/15*c**5 - 1\/4*c**4. Factor t(h).\nAnswer: -2*h*(h - 3)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v*v**(-18))\/v*v)**24 assuming v is positive.\nAnswer: v**(-360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-2) - (-11 - 330\/(-18)) - (-3013)\/(-69)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 198835796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8241?\nAnswer: 3, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 293143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, -2\/3, -2\/47, -4, 0.56?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -236 in -1, -8, 3, 0, 3\/8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**9\/15120 + p**7\/315 + p**4\/4 - p. Let b(j) be the third derivative of k(j). Find the third derivative of b(i) wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*o**3*v + 390*o**3 - 2*o**2*v + 15*o*v - 2*o + 13*v - 2 wrt o?\nAnswer: 24*o*v + 2340*o - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 356, 338, 320, 302?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 14. Let c be (g\/6)\/(22\/(-33)). Is (18\/c)\/(36\/60) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42548 by 5760.\nAnswer: 10637\/1440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -3 + -53 + -6.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-14244)\/(-11) - (-83)\/913.\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 9 - 12 - 1246*c.\nAnswer: -1246*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.53731*-2.\nAnswer: -27.07462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*m + m**3 + 8*m**3 - 7*m**3 - 194*m + 322*m.\nAnswer: 2*m**3 - 40*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201220221 (base 3) in base 5?\nAnswer: 2043312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8185 rounded to 1 dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*b**2 - 228*b**2 - 234*b**2 + 697*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 + -45. Let f = c - -30. Let j = f - 50. Is 41 less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(21)\/((sqrt(3) + sqrt(48))*-6 - sqrt(3)).\nAnswer: -3*sqrt(7)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25340056*q**4 + 69466259.\nAnswer: -101360224*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -10)\/((-3)\/(-2)). Let j(i) = i + 4. Give j(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-1)\/3*4. What is the second derivative of 6*d**g - 3*d + 17*d + 4*d**4 wrt d?\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2. Let o(h) be the third derivative of h**4\/24 - 13*h**2. What is o(d(v))?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b - 6. Let q be j(-5). Is -1*2*(-18)\/q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1382 and -21.\nAnswer: -29022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**4 - 3*j**4 + 6*j**4 + (0*j + 3*j - 2*j)*(3*j - 2*j + 2*j)*(0 + 4 + 1)*(2*j**2 + 41*j - 41*j).\nAnswer: 32*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*t - 506 = -91*t. Let h(o) = 6*o + 2. Let z be h(-5). Let c = t + z. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2310 + -220100?\nAnswer: -223010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5432452154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630 = -15*v - 6*v. Let y = 33 - v. Factor -11\/3*l**y + 2\/3*l**2 + 0*l - 7\/3*l**5 + 16\/3*l**4 + 0.\nAnswer: -l**2*(l - 1)**2*(7*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11306 + 11891. Is 81 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3312182?\nAnswer: 2, 53, 31247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 5920803?\nAnswer: 11841606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 5664963.\nAnswer: 5664958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - g - 1. Let z(x) = 3*x**3 - 11*x**2 + 27*x + 12. Let w(a) = -4*v(a) - z(a). What are the prime factors of w(-10)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 45*d. Let f = -16376 - -16378. Let p(y) be the first derivative of -2\/3*y**3 + 45 + 0*y + 0*y**f. What is i(p(m))?\nAnswer: -90*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4823489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x. Let c(p) = 3 + 0*p - 4*p - 3. What is c(u(l))?\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 336417 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1801 and 0.\nAnswer: -1801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 2:05 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 73*x**2 + 23*x - 301. Is t(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 7. Let f be m(5). Suppose f*d - 6 = 0, d = -2*t + 39 + 236. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14552 - 4053?\nAnswer: -23045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -0.05047357\nAnswer: 0.015142071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 254523888 and 1480.\nAnswer: 1272619440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21055.\nAnswer: 5, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-7)\/(-36) - (-2)\/8 and (-86)\/602*((-462)\/(-4))\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.07 - -15. Let y = n - -1.07. Which is the closest to y? (a) 1\/4 (b) -0.2 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + sqrt(128) - sqrt(2)).\nAnswer: 2 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 7:03 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(-2 + (-784)\/(-399)). Put 1\/7, z, 0, -1\/2 in increasing order.\nAnswer: -1\/2, z, 0, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -2\/7 (b) 2\/55 (c) 0.4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/1958410457?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 0.2, 1.6, -1, -1.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1659 - 1614. Calculate the remainder when x is divided by 37.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -g - 3. Suppose -2 = -2*q - 4*l, 10*q = 5*q + g*l + 70. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z. Let a(v) = 3*v**3 + 430*v - 423*v + 0*v**3. What is -a(b) - 5*n(b)?\nAnswer: -3*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 318 - 323. Put 1, q, -2, 2 in increasing order.\nAnswer: q, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 255 and 1445?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41830891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f. Let a be y(1). Let g be (4\/(-8)*-3)\/6. Let q = g - 9\/20. Is a at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15a3603 (base 12) to base 10.\nAnswer: 4443555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i - 2*i**3 + 5*i**2 + 1 + 3*i**3 - 4 + 8*i**2 - i**2 as v + y*i + q*i**2 + u*i**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20073641*b**2*l**3*u - 4*b**2*l**2 + 9*b*l**3*u - 290*b*l**3 - 27548 with respect to u.\nAnswer: 20073641*b**2*l**3 + 9*b*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*v - 2)*((-2*v + 5*v - v)*(4*v - 2*v + 0*v) + 11*v + 6*v**2 - 11*v).\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 15, 5\/4, 6, 73.\nAnswer: 0, 5\/4, 6, 15, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2\/15 (c) 1\/4 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 7.9. Let a = n + -0.6. What is the second smallest value in 3\/7, a, -1\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - 2*p + (-1 + 2 - 2)*(3 - p - 3) + p - 3*p + p + 2*p - p - 3*p - 4*p + 13*p - 15*p + 0*p + p - 3*p in the form b*p + v and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(304)*2.\nAnswer: 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8251 = 3*w, -f = -2*w + w + 2761. Suppose -6*o = w - 9711. Round o to the nearest 10.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/18*51*(-6)\/30.\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 38. Suppose 0 = 26*o - u*o - 4191. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 784 and 312228.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 133153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -322538727 divided by -6.\nAnswer: 107512909\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*h - 6, -h = -4*b - 0*h + 3. Suppose b = -4*p + 7*p - 53400000. Round p to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 18. Let b be m(13). Let g = b + 9. Solve -4*k + 2*a + 11 = 5*a, 5*a = g*k - 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3545*i**2 - 9*i + 11. What is the units digit of g(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = a - k, -5*a + 3*k = -8*a + 39. Suppose 0 = -3*j + 7*j - a. Suppose -m - 4 = -1, -4*n + 4*m = 0. Sort j, n, 1 in decreasing order.\nAnswer: j, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 288 - 280. Calculate the smallest common multiple of 32 and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r = -123 - 117. Suppose -r*d - 24*d = -30760. What are the prime factors of d?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 2:19 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.4 (b) 2\/5 (c) 15.5 (d) -0.075 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -17*v**5\/20 + v**4\/4 + v**2 - 14*v. Let g be r(3). Round g to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10387)\/1547 + (((-10)\/6)\/1 - 312\/(-36))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 11:03 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 231 = -0*p. Suppose -4*b - b + 124 = 3*x, 0 = 5*b + x - 128. Calculate the remainder when p is divided by b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 3*f**3 + 124*f - 26 + 39 to r*f**3 + g*f + v*f**2 + y and give g.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -5, -6, 0.3, 0, 31?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 256 = 3*t. Suppose -b = -51 - t. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 + 3*l**2 + 12. Suppose 196 = -8*h + 7*h + 50*h. What is m(h)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 + 12*z**3 - 8*z**3 + (-2*z**3 - 4*z**3 + 3*z**3)*(0 - 4 + 6))*(-397 + 397 + 11*z).\nAnswer: 11*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*1\/(-1))\/((-100)\/800).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.14 - -0.07. Let k = 0.57 + z. Let r be 34\/72 - (-10)\/(-40). Which is the second biggest value? (a) r (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.591902 take away 4.2?\nAnswer: -135.791902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1 + 21*a - 23*a + 1090*a**3 + 2*a**2 - 138*a**3. Is n(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o + 2 = 0. Let z be (0 - o\/(-1)) + 6. Suppose -7 = 2*q + k - z, -q - 3 = k. Solve q*b = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -9 (c) 4\/3 (d) -79 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12912576 divided by 1076048?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5208 divided by 651.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1285 + 4?\nAnswer: 1289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.2 and 10672.\nAnswer: 23478.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuc when three letters picked without replacement from {u: 1, h: 6, c: 1, w: 2, t: 1, y: 5}?\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382317 is divided by 180?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 181b01 (base 15) in base 11?\nAnswer: 72a232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9059672*c**3*k**3 + 4186353*c**3*k**2 + c**3*k - 2*c**2*k**4 wrt k.\nAnswer: 54358032*c**3 - 48*c**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 9. Let c be (-2)\/o*-3 - -80. Suppose 2*u = 5*u - c. Calculate the remainder when u is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.95 + 0.05. Let o = j - -3.5. Let p = o - 5. Put 2, p, -3\/5 in descending order.\nAnswer: 2, p, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4168490.\nAnswer: 2, 5, 416849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 10*v**2 - 14*v + 9. Determine c(7).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 10*d**2. Let u(g) = -16*g**2 + 11*g - 11. Let v(k) = -3*k**2 + 2*k - 2. Let h(q) = -4*u(q) + 22*v(q). Calculate j(h(n)).\nAnswer: 40*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 154\/(-231)*(0 + 1 - 205). What is the third derivative of -136*a + 172*a**5 - 176*a**2 + d*a wrt a?\nAnswer: 10320*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/935 and 38\/1683?\nAnswer: 8415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739053?\nAnswer: 3, 7, 11731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, w: 7, p: 3, l: 1}. Give prob of sequence wplp.\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5903739 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1992 + 1994 - 48*h**2 - 3986.\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**2 - m**2 + 14*m - 3*m - 13*m**2 wrt m?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 5*n - 225, -2*n = c - n - 55. Let v = -55 + c. Let i(f) = -f**3 - 5*f**2 + 2*f + 11. What is the units digit of i(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 21 + 1866*a - 1854*a.\nAnswer: 12*a - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110010110 + 0?\nAnswer: -100110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 + -3.5. Which is the closest to 1\/12? (a) -0.3 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -178 - -183. Let g = 104 - 1145\/11. What is the second biggest value in g, -3, 2\/19, p?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + 4 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 9422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 0 + (0 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/21 or -32\/353?\nAnswer: -32\/353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 779, 1526, 2223, 2828, 3299, 3594?\nAnswer: 3671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -1 + 3\/4*v**2 - v + 1\/2*v**3 - 1\/4*v**4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 1. Let g(y) = 3*y - 4. Determine 4*c(p) + g(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.239 - 11.861. Let y = m + 12. Let g = -0.8 + 0.3. What is the biggest value in 1, g, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)\/d)**45*(d**(-3))**(2\/7) assuming d is positive.\nAnswer: d**(-951\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12, 23, 46, 87, 152, 247, 378, 551?\n\"Answer: i**3 + 4*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1083*n + 152*n + 39909 = -56421 for n.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**5\/20 + i**4 + 8*i**3\/3 - 14*i**2 - 413*i. Determine k(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 3) to base 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from bhhbbhbbbbbhhhhbbhh.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550 = 4*z + 82. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 4 = -x. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110 + 112 - 47*j - 5*j - 221 + 3*j - 43*j.\nAnswer: -92*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 + ((-594)\/(-3))\/9\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32658 (base 10) in base 13?\nAnswer: -11b32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 53*k + 558. Let v be i(-62). Let w(l) be the third derivative of 8*l**2 + 0 + 5\/24*l**4 + 0*l**3 + v*l. Let t(b) = -4*b**2. What is t(w(z))?\nAnswer: -100*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 8*u**2 + 7*u - 1. Let b be f(7). Does 9 divide b\/(2*(-3)\/156)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 9*u - 2. Let q(h) = 53*h**3 + h**2 + 4*h - 3. Let m be q(1). Suppose -m = 20*d + 105. Determine f(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2049\/4 >= -513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13358028?\nAnswer: 2, 3, 229, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 - 34. What is the highest common factor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 1543 + 8*r - 4*r + r**2 - 6*r. Is d(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3569784 and 1115?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15, -29, -55, -99, -167?\n\"Answer: -a**3 - 7*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 6:42 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 368693612 and 4564?\nAnswer: 4564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.599*-0.4.\nAnswer: 0.2396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.31709km in meters?\nAnswer: 29317.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81588.\nAnswer: 2, 3, 13, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**3 - 6*u**3 - u**3 + (-u**3 + u**3 - u**3)*(8 - 8 + 9) - u**3 + u**3 - 2*u**3.\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.2045nm in kilometers?\nAnswer: 0.0000000001752045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 595*f*o**6 + 3132*f*o**2 wrt o.\nAnswer: 71400*f*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 5\/9, -0.3, 0.54, 92?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 13882.1.\nAnswer: 13901.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66120 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2 = -w + 8, 3*r = 2*w - 12. Let q(m) = 399*m**2 + 5*m + 3. Let s be q(w). Let d be (-375)\/(s\/(-7200) + 2). Round d to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 61813 and 56.\nAnswer: 61869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -389*d + 11595 - 10428 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/7 + (-1536)\/224?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unad when four letters picked without replacement from {u: 1, d: 1, n: 3, p: 3, a: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -46*z - 7. Let t(b) = -92*b - 12. What is -5*a(s) + 3*t(s)?\nAnswer: -46*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = y + 4*y. Suppose 45 = y*z - 3*z. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*z - 140*z = -54 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66084, 66100, 66118, 66132, 66136, 66124?\nAnswer: 66090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*d**3 + 1\/5*d + 1\/5*d**4 - 1\/5*d**2 + 0.\nAnswer: d*(d - 1)**2*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/293 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1 = -9. Suppose -10*j + o*j = -10. Suppose j*h = -29 + 171. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*g**2\/2 + 860*g + 465\/2.\nAnswer: 5*(g + 31)*(11*g + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 174469 and -67.\nAnswer: 174402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*j + 8 - 8*j - 16*j to the form o*j + h and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v - 48. Let d be r(-25). Suppose 1322*b = 1323*b - d. Solve -b*t + 3 + 1 = 0, a + 2*t - 5 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -319.1*-85\nAnswer: 27123.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 3245 = -140*c - 57*c + 445 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -143, -76, -7, 64, 137?\n\"Answer: j**2 + 64*j - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -13*s - 5. Give w(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36233519.99808 - 36257308. Let l = 23782 + d. Let o = l + 6. Round o to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665235 divided by -133047?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176954 = -46*c + 452. Is 0 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*r - 304 - 457 - 409 = 0 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {o: 5, h: 8, q: 4, y: 1}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 6*b. Suppose b = 2*j - j. Solve -g = -j*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -894 = -2*i - 4*r, 3*i + 3*r = 1693 - 367. What are the prime factors of i?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*t**3 - 8*t**3 - 5*t**4 - 6*t**3 - 9 + 7*t**4 - 2*t**2 to r*t**4 + w*t**2 + s*t + z + o*t**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 7\/(-9) - 88\/72. Which is greater: l or 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**7\/630 - w**6\/90 - w**5\/30 - w**4\/18 - w**3\/18 + 10*w**2. Factor r(m).\nAnswer: -(m + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -298, 5, -2993, 2 in ascending order.\nAnswer: -2993, -298, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33.2192 - 33.2. Round d to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1873, 3531, 6293, 10159?\n\"Answer: 552*s**2 + 2*s + 1319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (1 + 0 - 1). Let v = 8 + -5. Let n be (10\/(-1) - -3) + v. Sort n, l, 5 in descending order.\nAnswer: 5, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 8 = -12. Which is bigger: -2\/341 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r**3 - 161*r**2\/6 - 431*r\/6 + 251\/3 = 0. What is r?\nAnswer: -2, 1, 251\/90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooso when four letters picked without replacement from {o: 10, s: 4}.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 16*j**2 + j - 41. Suppose g = 3*n + 13, -2*g - g = 6. What is the hundreds digit of s(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2760 divided by 2\nAnswer: -1380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3734*g - 35. Let v(k) = 19*k - 36. Let h be v(2). Is o(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 761*w + 3 - 1 - 760*w + 23*w**4 to the form y + r*w**2 + p*w**4 + d*w**3 + a*w and give p.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 126786 to the nearest 100.\nAnswer: 126800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 5*l + 21 = 0, 2 = 3*y - l - 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 15169.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28*((-5100)\/68)\/(-300).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 5612.\nAnswer: 5611.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7187 + 1116*a + 2075*a + 479*a + 1384*a + 1373*a wrt a?\nAnswer: 6427","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 17*f + 1. Let o(k) = k**3 + 6*k**2 + 4*k - 3. Let n be o(-5). What are the prime factors of s(n)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/63 and 55\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.4, 1, -0.8, -2, 1\/5, 0 in increasing order.\nAnswer: -2, -0.8, -0.4, 0, 1\/5, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 60443\/2 and 30222 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -104*f**2. Let i(c) = 26*c**2 - 18*c - 9. Let a(q) = -11*q**2 + 8*q + 4. Let o(h) = 9*a(h) + 4*i(h). Give 64*o(m) + 3*t(m).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 864 + 8\/3*c**3 + 3504*c + 578\/3*c**2 = 0. Calculate c.\nAnswer: -36, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100 + 78. Let x = 25 + l. Sort -2\/7, x, 0.2 in descending order.\nAnswer: x, 0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 52773618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3888, -3887, -3886, -3885, -3884?\n\"Answer: q - 3889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 16*p + 19. Let f be d(-15). What is the derivative of -2*r - 5*r + 3 + 2*r - f*r wrt r?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 6*u**2 + 4*u - 1. Let j be c(-5). Let w = -329 - -339. Solve j*k + w = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttuuuuuyytueuuuut. Give prob of sequence ty.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 u, and 1 r when four letters picked without replacement from gugurgugg?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/5258836 and -1\/140742.\nAnswer: 331306668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.02 and 0.0233653.\nAnswer: 0.0433653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(2\/(-94)))\/(-3)*123. Suppose 9653 = 5*o - v, -o + 0*o + 2*v + a = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178301741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/819 and 31\/90?\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 24*f**2 + 46. Let p(a) = 3*a + 14. Determine y(p(i)).\nAnswer: 216*i**2 + 2016*i + 4750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 5*q**3\/6 - 5*q**2 + 7*q. Let j be l(4). Solve -j = o - 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24*((-153)\/(-9) - -3). Let n = 1900 - h. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1584397429 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 3. Which is the nearest to -3? (a) -3 (b) -0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/161 (b) -2\/5 (c) 0 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**3 - 6374*s**2 + 14886*s - 6374. Give t(-2127).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 297 and 13284?\nAnswer: 146124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 240 and 216.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 23. Suppose 15 + 9 = d*q. Solve -3*n - 5 - q = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3119626?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -279.5 + -21.5. Let l = -301.0199 - m. What is l rounded to 3 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -314*m + 1249. Calculate h(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 1. Give b(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 33)\/(3*(-3)\/855). Let p = s + 5448. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/19, -13, 4\/3, 3 in descending order.\nAnswer: 3, 4\/3, 1\/19, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 1\/4 (c) -1 (d) 0.17 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**2)\/(m*m**(-2\/9)\/m*m)*(((m**(-2)\/m)\/m)\/m)\/m**3 assuming m is positive.\nAnswer: m**(-88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*i = -0*t - 8, -15 = t + 5*i. Solve 10*u + 5 = t*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 117, 281, 517?\nAnswer: 825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2446, -2463, -2476, -2479, -2466?\nAnswer: -2431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 26*l + 28. Let a be b(25). Suppose -a*u + 350 - 14 = 0. What is the highest common divisor of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46260661751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -59*t**2 + 45*t + 42. What is x(-1)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53160 - 33?\nAnswer: -53223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1372 + 1373. Which is bigger: q or -2\/4379?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 133 and 6447?\nAnswer: 122493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2610770 divided by 1?\nAnswer: -2610770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k**2 - 60*k + 6. Calculate the remainder when 491 is divided by q(-8).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**4\/4 + 11*p**3\/3 + 6*p**2 + 5*p - 9. Let s be z(12). What is the highest common factor of s and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 60 = 3*r, -80 = 4*r - 0*r - 4*y. Let o be (r\/90*-4)\/((-2)\/(-9)). Suppose 81 = 5*g + 4*q, 2*q - 33 - 16 = -3*g. Sort g, o, 3 in descending order.\nAnswer: g, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11518 = 9*z - 11311 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -7*m**2 + 254 + 8*m**2 - 252 + m. Give b(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 7*t + 23. Let x(m) = -m**2 - 6*m - 23. Calculate -5*w(c) - 6*x(c).\nAnswer: c**2 + c + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18921361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13035433, -13035434, -13035435, -13035436, -13035437?\n\"Answer: -s - 13035432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -41*-4*(-2)\/(-8). Which is the third smallest value? (a) z (b) -3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, v: 13}. What is prob of picking 1 x and 3 v?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113726.\nAnswer: 2, 101, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/3 - 244*t**2\/3 + 2096*t - 12864.\nAnswer: -(t - 12)**2*(t + 268)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 48.88657 years?\nAnswer: 0.4888657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9738 is divided by 56?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 1. Let y(f) = 8. Calculate -4*k(c) + y(c).\nAnswer: 4*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.94 + 0.06. Let x = -182.8823 - -0.0823. Let f = -183 - x. What is the nearest to n in f, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2360 and 1100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 485848.4563 to the nearest 100.\nAnswer: 485800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5486.\nAnswer: 2, 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -598 divided by 64018.\nAnswer: -299\/32009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3620 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40513 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 830384 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 - 3*p + 3*p)*(p**2 - p + p) - 5*p**5 - p**5 + p**5 + (-2*p**4 + 3*p - 3*p)*(-3*p + 4*p - 2*p) + (0*p - 3*p + 2*p)*(2 - 2 - p**4).\nAnswer: -3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 42. Calculate the least common multiple of u and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-328)\/60 + (2 - (-16)\/(-12)). Let w = p - -163\/35. What is the nearest to 1 in w, -8, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/5)\/(364\/(-130))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -41, 15, 125, 289, 507?\nAnswer: 779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/22 and 1\/1 - -2 - 54726\/19320.\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 6712?\nAnswer: -6716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3644049?\nAnswer: 3, 1214683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*j - 2*k = 231*j - 117*j, -2*k = -8*j - 30 + 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36263960*w**3 + 23304771*w + 1 wrt w.\nAnswer: 217583760*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*h + 9 + 3 = 0, 0 = 3*h + 15. Let b = 4 - s. Suppose -b*u - x + 5*x + 25 = 0, 3*x = -4*u + 25. Solve -3*i + 2 = -u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 divided by 27.\nAnswer: 53\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109\/32 - -1907\/480. Let r = o - 263\/30. Calculate the common denominator of r and -43\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2705*s - 714124. Calculate y(264).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1680774839?\nAnswer: 37, 45426347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 240*h - 242.\nAnswer: 2*(h - 121)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000513478087 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-208)\/(-128) - 6\/(-16). What is the smallest common multiple of (t\/(-4))\/(4\/(-96)) + -2 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.1 + 0.1. Let m = f + 4.9. What is the closest to m in 1, 2, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 81036, 2, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b6b7c8 + 0?\nAnswer: b6b7c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/82 and 9\/854330.\nAnswer: 35027530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -i - 2*n, 2*n + 38 = 5*i + n. Calculate the smallest common multiple of 7 and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 0) + 11 + -13 + (10 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(95)*-4)\/((sqrt(60)\/sqrt(2))\/sqrt(6)).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*b**2 - 10*b**2 + 82*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/54 and 47?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uggg when four letters picked without replacement from {g: 3, h: 1, d: 1, u: 3, c: 5, r: 5}.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 402 = 7*x - 2*x, 0 = -2*o + 4*x - 406. Suppose -8*n - 3004 = 2564. Let s = o - n. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 850 + -509. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93687465757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32736 by 1.\nAnswer: 32736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 13*f - 2*h = 14, -4*h - 18 = 5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 493 - 7891\/16. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9389 is divided by 1165.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 7. Let q(l) = l + 10. Let a be q(-5). Suppose 4*h - a*h = 0. Is d(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25*(-48)\/3600)\/((1\/1)\/72)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.39 - 1.4. What is q rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3823.567km in millimeters?\nAnswer: 3823567000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 40. Solve l + 17 = 4*f, -5*f + z*l + 13 + 0 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 1 + m + 3*m. Let h(a) be the first derivative of -a**2\/2 - 1. Let c = -19843 - -19839. Calculate c*h(z) - s(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*y, -13*g + 4*y + 13 = -15*g + g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 3*k - 4. Let y be x(-3). Let b(i) = 3*i - 4*i + 0*i**2 + 3 - 4*i - i**2. Let s be b(y). Solve -5*w + 18 = -s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -27. Suppose -h*k + 2*c = -56, -2*c + 7*c = -2*k + 42. Calculate the remainder when k is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.01 and -13.9?\nAnswer: 13.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37617 = -523*f - 102992 for f.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + (-35151 - -2 - 2). Let c = -76546 - u. Round c to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(231\/(-44))*-7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 17 - 23 = 0. Let t be (-6)\/(-5)*f\/2. Let l be 1 - (-20)\/t - -1. Put -4, 0, l in decreasing order.\nAnswer: l, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 304.3 - 304.5. Let p = 2.04 + -0.04. Let l = p - 5. Sort 0.03, l, g in descending order.\nAnswer: 0.03, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545 times -4?\nAnswer: -2180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, -5, -360, -261 in ascending order.\nAnswer: -360, -261, -5, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77681, 77562, 77443?\nAnswer: 77324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3160?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 377221 - 839218685.\nAnswer: -838841464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + 29. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvevjhvhhvvvxjvxzv. What is prob of picking 1 x, 1 h, and 1 z?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8614 - 8617. Put -172, 5, l in decreasing order.\nAnswer: 5, l, -172","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*b. Suppose -3*u + 6241 = 4*y, b*u + 4*u - 6240 = -4*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3776 >= 3776?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 13589 = 5*v + 22966, 4*v - 73040 = -4*w. Calculate the highest common divisor of w and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/sqrt(10) + -4 + sqrt(704) + -3.\nAnswer: -7 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27967214?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11264766 (base 8) to base 2.\nAnswer: 1001010110100111110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, i: 1, z: 3, s: 2}. Give prob of picking 1 s and 1 z.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5 - 805*x**4 + 240300*x**3 - 31590000*x**2 + 1545480000*x.\nAnswer: x*(x - 265)*(x - 180)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + q**2 + q + 13933. Let w be p(0). Let l = -278537\/20 + w. Let k = 282 - 1117\/4. What is the common denominator of l and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 68 = 5*r - 23, 2*r = -q - 9. Let u = r - -4. Let c be 3*4\/(-8) + (-10)\/4. Put u, 2, c in decreasing order.\nAnswer: 2, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a - 21 = -29 - 32 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/(-70) - 2\/(-7). Let i = 0 - -3. Are i and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 807376 and 5816.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 182, -10, -44, 2\/11, -1\/2?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s + 108 = -12*s - 15*s for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 108948083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6*x = 21. Let f(j) be the first derivative of -j**2\/2 + 9*j + 5262. Calculate f(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012608 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.2*-8\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y - 7. Let a(p) = p. Let r(m) = -6*a(m) - f(m). Suppose 4*t - 5 - 7 = 0. Is r(t) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 193 - 132. Let v = u - 57. Let q be 0 - (0\/1 + -20). Calculate the greatest common divisor of q and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = u - 1. Let c = -18 + u. Let f be ((-2)\/c)\/(1\/(-3)). Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*z = -679 + 1099 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o - 2. Let i(m) = -m. Let g(y) = h(y) + 3*i(y). Let z be g(-11). Let c = z + 58. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10628\/7971*(-177)\/4?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 13*j = 22. Calculate the common denominator of (-314)\/(-40) + 1\/4 and (j\/8 - 0) + (24 - 26).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 8*c - c)*(-2*c + 4*c + 0*c).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p = -6*p - 1131. What is the greatest common factor of 3679 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 + 94. Let w = f - 25. Sort 1, w, -0.1 in increasing order.\nAnswer: -0.1, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 61\/4 of a microgram?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-13)*z*((((z**8\/z*z)\/z)\/z*z)\/z)\/z)\/(z**(-2\/49)*z**(-12)\/z*z))**50 assuming z is positive.\nAnswer: z**(17250\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2, 0, -613, 4 in decreasing order.\nAnswer: 9, 4, 2, 0, -613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -n - 9. Suppose -5*q - 15 = 5*w - w, 5*w - 3*q = -28. Let i = w + n. Solve -x = b - 2*b + i, -7 = -3*b - 2*x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(935\/(-60))*1\/((-90)\/(-220))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-65)\/(-52)*14\/315*9. Let s(n) be the first derivative of 0*n**2 + 48\/35*n**5 + 0*n**3 - 3\/7*n**4 + 0*n + 33 - f*n**6. Factor s(v).\nAnswer: -3*v**3*(v - 2)*(7*v - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 849 and 163857.\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 23\/399 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -100011011010111 (base 2) to base 9\nAnswer: -26780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 73. Calculate the remainder when i is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-3419\nAnswer: 1709.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 691 - 455. Is m at most 236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -334?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 10:55 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**(-1\/2)*m*m)*m)**(-2\/69)*(m*m**(-3))**(-4\/31) assuming m is positive.\nAnswer: m**(153\/713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -3\/7, 10, 21, -1.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 27 + 133 + -58.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84 - 27. Let n = -37 + w. Let d = 29 - n. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1453 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 10. Let f = -5 + 2. Sort l, f, -4 in decreasing order.\nAnswer: l, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17, 131, 321, 587, 929, 1347?\n\"Answer: 38*v**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**17*k*k**16*k assuming k is positive.\nAnswer: k**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 8 = p, 3*s + 0*s - 16 = -p. Suppose 2*r + 20 = p*r. Let k(u) = u**2 - 2*u - 20. Calculate the smallest common multiple of k(-4) and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14455 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: Suppose -2 = 2*l, -k = -3*l - 616 + 204. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - q, 220149*j + q = 220148*j - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1684, -2662, -3640, -4618?\n\"Answer: -978*l - 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 13*p**2 - 74*p + 1109. Give g(14).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-9)\/j)\/j)\/j*j**(-11)*j**(-7)*j*j**(3\/4)*j assuming j is positive.\nAnswer: j**(-109\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -304 + 456. Suppose -22*a = -30*a + m. Calculate the remainder when 112 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 5*g**2 - 25*g - 9. Let u be o(3). Solve 3 = 2*c - u*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 31. Suppose 0 = 5*t + 5 - x. Suppose t*a - 39 = -a. Calculate the remainder when 50 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2. Let g(l) = -18*l - 6. Let a(q) = 6*q + 2. Let p(y) = 17*a(y) + 6*g(y). Calculate t(p(v)).\nAnswer: 72*v**2 + 48*v + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 10 = 0, a = -2*a - 5*w - 65 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 15963193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.417465 - -9.1274. Let d = 0.29 + q. Round d to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 10 = -i, -2*l + 3*l + 22 = 5*i. Sort 5, 0, i.\nAnswer: 0, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 11*r**2 + 31*r + 27. Determine t(15).\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -25280237 != -25280237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -59*b**2 - 2*b - 2. Let k(d) = 295*d**2 + 11*d + 11. What is 2*k(u) + 11*n(u)?\nAnswer: -59*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 8*m**2 - 5. Give c(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -11*n + 98. Let h = -0.15 + 0.05. Which is the nearest to h? (a) -3\/4 (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/17)\/s**19*s**5*(s\/s**(-2\/33))\/s assuming s is positive.\nAnswer: s**(-7886\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 193060 > 193059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(1 + 2 - 5)*(-16 + 3*h**2 + 16).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eseueeueu. Give prob of picking 1 s and 1 e.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/(b*b**(-8)\/b))\/b*b**(-9)\/b)**36 assuming b is positive.\nAnswer: b**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + j**3 + 0*j**3 - 1 - 2*j**3 + 1 + (0*j**2 + 2*j**2 - j**2)*(2*j - 2*j + j) + 62*j**3 + 17*j**3 + 26*j**3.\nAnswer: 103*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 l when three letters picked without replacement from slsszzzslszzs.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0 (b) 1.74 (c) -0.27 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 680*v**3 + 278*v**2?\nAnswer: 4080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -74, -21, 5 in decreasing order.\nAnswer: 5, -5, -21, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144576 is divided by 47149.\nAnswer: 3129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 105513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -1001?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -254 - -389. Does 34 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14267215 rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 107 - (-5 - -1 - -1). What is the highest common factor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 f, and 1 h when three letters picked without replacement from {f: 3, n: 2, l: 1, h: 3, b: 1}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 7. Let o = -26 + a. Is 3 a factor of (4 + o)*(-1)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*n + 113 = 160 + 282 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**5 - 3*p**5 + p**5 + (44 - 44 - 56*p**3)*(-1 - 331*p + 11*p**2 + 331*p).\nAnswer: -618*p**5 + 56*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + sqrt(170) + (-3*sqrt(170) - sqrt(170)))*2 - sqrt(170))\/sqrt(10)*-5.\nAnswer: 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 522 - 3119\/6. Find the common denominator of l and 31\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**9\/504 - 17*z**6\/60 + 35*z**5\/6 + 14*z**2 + 15*z. Find the third derivative of c(j) wrt j.\nAnswer: 120*j**3 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -89*z**3 - 49*z**2 - 8*z + 8. Let l(t) = t**2 + 2. Let u(q) = i(q) - 4*l(q). Let y be u(-24). Round y to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -230820932 by 1.\nAnswer: -230820932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -s - 0. Let z(l) = 0 + 3*l - 3 - s*l**2 + 2. Calculate z(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2096*d**2*w**3 - 1268*d*w**3 wrt d.\nAnswer: 4192*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, o: 2, z: 1, r: 1, e: 2}. What is prob of picking 1 r, 1 o, and 1 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.7 (b) -0.03 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 7) in base 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -519427 - -2825163371\/5439. What is the common denominator of a and 32\/147?\nAnswer: 5439","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 9:19 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - 0. Let m = -84 + 58. Let u = m + 26.5. What is the nearest to z in 4, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92856.62 decades in millennia?\nAnswer: 928.5662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78590 + 110 = -1962*q for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*f + 82*f = -386 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l**3 - 13*l**2 + 7*l + 11. Let a(c) = 3*c**3 + 6*c**2 - 4*c - 5. Let o(w) = 5*a(w) + 2*v(w). Let n be o(-5). Is (0 - n)*(3 - 11) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 8*r**3 - 2*r**2 + r - 6. Let d be l(3). Let x be 7 + (-94)\/30 + 26\/d. Solve z + 5*f = 23, x*f + 8 = 4*z + 3*f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2492*c - 296553. Let f be h(-119). Let i = -61.088 + 0.088. Let o = i - -42. What is the smallest value in o, f, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1404250 + -12555?\nAnswer: -1421245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.282016 centuries to years.\nAnswer: 428.2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2147.387031 to the nearest ten.\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.518 + 3.079. Let j = z - 1.5608459. Round j to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 1.6 (c) -14 (d) -0.093 (e) -0.5 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2595\/4 + 652. Suppose i - 4*b - 180 = -3*i, i - 3*b - 35 = 0. Let y be (4\/i)\/((-2)\/10). Which is greater: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/20 + -7*(-2)\/8. Which is the closest to 1\/4? (a) 0.2 (b) u (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423938 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p - 3. Let q(l) = l + 2. Let s(z) = -7*q(z) - 4*t(z). Let y = 13 + -15. Let x(k) = -3. Give y*x(j) + 3*s(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/1287)\/(2250\/(-4875))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2693e (base 15) in base 4?\nAnswer: 132023000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011111 + 1100202?\nAnswer: 12021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10089.93 and 0.04?\nAnswer: 403.5972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 210 + 240 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 11\/14 (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 1 = 5*k, -4*k = 5*r - 17 + 49. Let v be (-7)\/14 - (-1)\/(-2). Put v, r, 2 in decreasing order.\nAnswer: 2, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10059 and 231.\nAnswer: 110649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -8 + ((1 - 4) + 1 - -1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374351 is divided by 124728.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*j + 120*j + 5*j)*(5 - 2 - 5) + 2*j - 4 + 4.\nAnswer: -356*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 15 = 9. Suppose -9*i + 4*i + n*b = -16774, -b + 3350 = i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21 + 4 - (-6)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 591 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -2*t. Which is the biggest value? (a) 0.3 (b) t (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 9 = -19. What is the smallest common multiple of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 7*x**2 + 24*x + 7. Let s be k(-31). Suppose -6*n + 8*n - 3*w = 11953, -3*w = n - s. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(343)*-1 - sqrt(343))*-1 - ((sqrt(343) - (0 + sqrt(343))) + -4)) + 0 + 1 + 1*sqrt(343))*-4)**2.\nAnswer: 3360*sqrt(7) + 49792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*g - 3*g. Suppose 18 = g*i + 2. Suppose 4*o = i*v + 136 + 112, -2*v + 77 = o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.35 * -24\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*j + 3*j - 65, -j + 2*p = -1. Let g = 9 - j. Suppose -3*h + 46 - 7 = g. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(309\/(-36) + 13) + -13. Let t = 8 - -7. Which is the second smallest value? (a) t (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94769?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 12243792*p - 9369402658704.\nAnswer: -4*(p + 1530474)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*f - f**2 + 60*f + 18 + 100*f - 2*f**2 - 228*f.\nAnswer: -3*f**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 194855695 or 194855694?\nAnswer: 194855695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1379.99 + -1386. Round l to one dp.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.529 + -0.021. Let x = 0.25 + j. Which is the second smallest value? (a) -2\/17 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1088208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o + 10. Let c be n(11). Suppose -2*x - 5*g - 33 = 95, 2*x + 128 = 5*g. Let p be (-110)\/(-4) + 32\/x. Put 5, p, c in decreasing order.\nAnswer: p, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -279*p**2 + 6951*p + 67. Calculate b(25).\nAnswer: -533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.452 + -0.052. Let q be ((-4)\/(-54))\/(-2 + 5\/3). What is the second biggest value in q, d, 0.5, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a week in seconds?\nAnswer: 30240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11263 is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2\/7 + 819164*z - 587150951534 = 0. What is z?\nAnswer: 1433537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2948.708 millilitres in litres?\nAnswer: 2.948708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/3)\/(2 + -1). Let b = -2 + 2.3. Let c = -118 + 117. Put b, c, k in descending order.\nAnswer: b, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 14 = -5*k + 2*w, -4*k + 2*w + 12 = 0. Let q be k\/8 - 15\/(-4). Suppose -q*f - 1489 = 18111. Round f to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*w - 1 - 9 = 0, w = -p + 5. Suppose -j + p = 3. Sort j, -3, -2 in ascending order.\nAnswer: -3, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39293994 divided by 2\nAnswer: -19646997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2192265 is divided by 127?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 290, 966, 2068, 3584, 5502, 7810?\n\"Answer: -2*o**3 + 225*o**2 + 15*o + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**2*k*t**3 - 2*g**2*t + 2*g*k*t**2 + 170*g*t**2 + 4*k*t**4 + 116*t**5 wrt t?\nAnswer: 24*g**2*k + 96*k*t + 6960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 9*v + 12. Is o(10) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 0.01.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + -2 - (12 + 26 + (-29 - -11) + -15)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1561 to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 3*w, 4*a + 8*w = 4*w - 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 5\/2 (b) 0 (c) -7 (d) -2 (e) 473\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11094286 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 83. Let n(f) = -84. Let o(l) = 5*c(l) + 4*n(l). Let i be o(-15). Suppose 0 = 4*a + j + 2*j - 22, -i*a = 5*j - 26. Solve 4 = a*v - 0*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 138067?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8060)\/60 + (-3)\/((-18)\/8). Let f = t + 132. Which is smaller: -2\/193 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*t + 124*t - 232*t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1231 + -122076?\nAnswer: -120645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6956847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ks when two letters picked without replacement from hnkshhyhkkh?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57.99, -9, -5.\nAnswer: -57.99, -9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -7\/6, -0.02, -1 in descending order.\nAnswer: 23, -0.02, -1, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 6. Let x = -38.4 + 33. Let q = x - -4.4. What is the nearest to y in 2, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -9*l**2 + 123*l - 123*l. Let m(a) = 2*a. What is m(q(y))?\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from rrjuhjuurhrhrru?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1924 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13680 and 1620?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -20.9. Which is the nearest to 4\/7? (a) f (b) -2\/15 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 + 2*j. Let z(h) = h**2 - 2*h. Let w be (-2)\/6 + 30\/9. What is w*z(m) + 2*l(m)?\nAnswer: -m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -5*b - 2*t, 5*t = 2*b + t - 78. Let q be (88\/b)\/((-4)\/(-6)). Suppose -q*f + f = -2*p - 257, 0 = -f + 4*p + 89. What are the prime factors of f?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**3 - 46312*n**2 - 6420372*n + 6466680 = 0.\nAnswer: -138, 1, 11715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(5\/6)\/k)\/(k*k**(2\/7)*k))\/(k**(1\/2)*k**(2\/21)*k) assuming k is positive.\nAnswer: k**(-85\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 29*r + 3. Let d be j(4). Let z = 123 - 120. Suppose 4*f - 105 = -z*o + 71, -2*o + d = f. What is the greatest common factor of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 17 - 3 = -s, 80 = 3*s - a. Let k(l) = -33 + l**2 + 57 - s + 0*l**2. Calculate k(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 17. What is the remainder when 49 is divided by l(9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -32787, -32765, -32745, -32727?\n\"Answer: -n**2 + 25*n - 32811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 - 35. Calculate the remainder when c is divided by -1 + 8 + 261\/29.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 43881*r**4\/5 + 3159433*r**3\/5 + 15165288*r**2 + 606612672*r\/5 + 13824\/5.\nAnswer: (r + 24)**3*(43881*r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2148*d**2 - 8*d**3 - 1078*d**2 - 1087*d**2.\nAnswer: -8*d**3 - 17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/j**15*j**(-1\/3))**(-2) assuming j is positive.\nAnswer: j**(74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.81 + -97?\nAnswer: -96.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-547)\/(-1 + (-10)\/(-11)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4043 + 5551. Is f a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 2 + 3)*(0*n + 4*n - 5*n) + 0 + 6*n + 0)*(-499 + 22*n + 499) as o + h*n + p*n**2 and give p.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 3*o + o)*(2*o**2 - 2*o**2 + 2*o**2) + 66*o**2 - 29*o**2 - 32*o**2 - 36*o**3 to h*o + t*o**2 + m + x*o**3 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1390*i + 1846*i - 225*i = -9790*i - 300630 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -19*q**2 - 611*q - 188. Determine y(-32).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/738 and -101\/6210?\nAnswer: 254610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50 - 46 - -10) + 25?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-2 + (-6 - -4) + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/7 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 261 + 1936. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -x - 5, 5*x - 2 = 2*f + 24. What is the first derivative of -z**x + 3 + 1 + 12*z**4 wrt z?\nAnswer: 44*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -10*o + 100. Let y be 5\/2*16\/o. Solve i + 2 = y*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 478827 and 4240215.\nAnswer: 351937845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iggigggiiigg. Give prob of sequence giig.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 352 + -358. Let k be (-99)\/n*(-42)\/(-63). Let f(i) = -i - 8. Let t be f(-7). Sort 5, t, k in increasing order.\nAnswer: t, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 1. Let m(r) be the first derivative of r**4\/8 + r**3 - 5*r**2\/2 - 9. Let d(l) be the second derivative of m(l). Determine -d(w) + 4*u(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**5\/20 + p**4\/12 - p**2 - 1309*p. Determine y(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-36)\/10 + 2)\/((-1560)\/20619300) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-14) + 65\/10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**3\/3 - 5*l**2\/2 + 266. Determine p(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180, -746, -1690, -3012?\nAnswer: -4712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/3*(-10 + 3 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxu when three letters picked without replacement from xmeueyyfeueemf.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 4*y - 14, -i - 4*y = -7*y + 3. Suppose -4*b - 5*u + 3129 = 0, -5*b - i*u + 3900 = u. Suppose b = 7*k - 3*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millennium in years?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 1\/527, -4, 0.1, 22, 0.3?\nAnswer: 1\/527","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -11 - (-74 - (14 + -23 - 29)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 26 = -5*r, 3*a + 22 = 4*r + 6*a. Let c be r\/6 - (-80)\/6. Solve -v - m = -2*m + 4, -4*v - 2*m + c = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79.02 + -79. What is j rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/2097 + 4205\/23067. What is the second biggest value in -5, -2\/25, 0.5, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o + 59. Let f be t(-9). Solve 2*v = -f*x - 26, -3*v = 3*x + x + 25 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*c + 68, -j - c - 1 + 11 = 0. Is j smaller than 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 9*b - 27. Let r be (-10524)\/b - (-8)\/24. Let x = r - -2389\/2. Find the common denominator of 133\/12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34558 + 18545 + 56664 = -1379*o - 42089 for o.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**4\/4 - 5*g**3\/3 - 3*g**2 - 5*g - 3. Calculate f(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 29*d**2 - 193*d - 27. What is w(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089482400 a multiple of 425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.04, -3, 0.5, -8\/7.\nAnswer: -3, -8\/7, -0.04, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -226 + 376. Calculate the least common multiple of 3 and f.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14 * -0.2.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/222390 and -103\/756126.\nAnswer: 3780630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 15*p = -23. Let j = 83 - 81. Put -55, -2, p, j in descending order.\nAnswer: j, p, -2, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, l: 12}. Give prob of picking 2 l.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*d**2 - 369*d + 161*d**2 - 379*d + 4 + 729*d.\nAnswer: 3*d**2 - 19*d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 72779315*m*y**2 - 37320643*m wrt y?\nAnswer: 145558630*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4697, 37092, 124925, 295916, 577785, 998252, 1585037, 2365860?\n\"Answer: 4620*z**3 - z**2 + 58*z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31.8 + 27.8. Which is the nearest to -5\/3? (a) -0.2 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 - 299*t + 9305. Give w(105).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*b + 331*b + 4 + 880*b.\nAnswer: 1616*b + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhphhkzhhpzzzzhhqhqz. Give prob of sequence pk.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2 + 0*l - 2*l**2 + 2*l. Let a(z) be the second derivative of z**4\/6 + z**3\/2 - 4*z. What is 2*a(q) - 3*i(q)?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4738566066 to the power of 1\/2, to the nearest integer?\nAnswer: 68837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(171) + -1 + sqrt(171) + -1 - (sqrt(171) + 2 + 0 + sqrt(171)))*-5)**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 5:24 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 37 - 33 - -43.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -6*x + 11*x, 43 = 3*t + 5*x. Calculate the smallest common multiple of 1696 and t.\nAnswer: 18656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-3)\/(-6) + 0). Let k be 4\/6*(m + -1). Let v be (-16)\/(-6)*(-3)\/(-2). Solve 0 = 2*s - 4 + 14, -16 = k*c + v*s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43315 divided by 56\nAnswer: 43315\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1277736582 by -6.\nAnswer: -212956097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - 0. Which is the nearest to 0.1? (a) g (b) 3\/8 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.247? (a) 1 (b) -2 (c) -0.47 (d) -1\/7 (e) -75\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2 + 4 + 0 + 2*k. Suppose -5*b = 4*c - 47, -c + 15 = 4*c. Suppose -b*w = -12*w + 25. Let t(i) = -4*i - 4. Give w*g(u) + 2*t(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1385, -1371, -1357, -1343?\nAnswer: -1329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 660 - 660. Solve 5*s + 3*p = -30, 5*s + q*p = 2*p - 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - j - 2 - 17, -4*j - 13 = k. Let m(o) = o + 1. Let l be m(k). Let b(d) = -4*d - l*d + 4 + 3*d + 4*d. Give b(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0497388 and 13.26.\nAnswer: 0.659536488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -2*d**3 - 345. Let z(u) = -299*u + 2. Give f(z(w)).\nAnswer: -536406*w**2 + 7176*w - 24","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 15 + 28*d**2)*(58*d + 115 + 102 - 198) to the form p*d**2 + h*d + f*d**3 + t and give p.\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 158519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -43414*m. Let w(g) = -3*g + 39. Determine k(w(h)).\nAnswer: 130242*h - 1693146","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**2 - 38*x. Calculate b(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -655, -520, -383, -244, -103, 40, 185?\n\"Answer: x**2 + 132*x - 788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**3\/7 - 124*t**2\/7 - 1922*t\/7 = 0. Calculate t.\nAnswer: -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.311 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30872, 61578, 92284, 122990, 153696?\nAnswer: 184402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x = 23 - 118. Solve 30 = 7*i - 4*i + 5*u, -4*i + 35 = x*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5190)\/(-16435))\/((-40)\/76))\/((-1)\/85)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -33*h - 4. Let k be y(-4). Suppose 0 = -2*x + 4*z + k, -3*x + 6*x = -3*z + 147. Calculate the highest common divisor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2*m + m + (1 - 2 + 0)*(-4*m + 3*m + 2*m) + 2*m + 5*m - 4*m)*(0*m - 2*m + 4*m).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-252)*-9*0. Let c(f) = 2*f. Let q be c(3). Solve r = -4*v - q + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-40)\/(-140))\/((-3)\/(-21)). Let v be (1\/6)\/((-9)\/(-576)). Factor -v - 8*a**p + 16*a + 4\/3*a**3.\nAnswer: 4*(a - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12619048.\nAnswer: 2, 13, 67, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/135)\/((-76)\/266*(-14)\/12).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, c: 2, u: 1, r: 4}. What is prob of sequence rrru?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**4 - 3*u**4 + 6*u**4 + 2*u**4 + 3 - 3 + (4*u - 2*u - 4*u)*(u**3 - 4*u**3 + 2*u**3) - 2*u**4 + u**2 + 2*u**2 - 4*u**2.\nAnswer: 10*u**4 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 10.89. Let s = c + -0.05. Let t = 0.06 + s. Which is greater: t or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 - 10*x**3 + 17*x**2 - 8*x.\nAnswer: x*(x - 8)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 415 - 415. Let r(i) = -i**3 - i**2 - i + 22. What is r(j)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1123, 1115, 1105, 1093, 1079, 1063?\n\"Answer: -o**2 - 5*o + 1129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 2*r + 0*r**3 - 1\/10*r**5 - 2*r**2 - 1 + 7\/12*r**4. Differentiate a(k) wrt k.\nAnswer: -6*k**2 + 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 6*g + 6. Let l(s) = s + 1. Let x be (-2)\/(-9)*3*6. Let m be l(x). Let a be h(m). Do a and 1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*b**4 - 28346*b**3 + 423876 wrt b.\nAnswer: -100*b**3 - 85038*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -3 in ascending order.\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -14. Let r = o - -7. What is the remainder when 19 + (r\/2 - 5) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.942 + -7.142. Put c, 126\/13, 1\/12 in decreasing order.\nAnswer: 126\/13, 1\/12, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*2*6)\/sqrt(11) + -4 + ((sqrt(2448)*-3)**2 - 2*sqrt(1088)).\nAnswer: -4*sqrt(17) + 22028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1131 and -71\/33.\nAnswer: 12441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 m when four letters picked without replacement from {m: 7, l: 2}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1*(2\/4)\/(6\/((-1680)\/(-5)))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w. Let q(k) = 13*k - 2942. Determine n(q(l)).\nAnswer: -13*l + 2942","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 3*z + 81 = 0, 0*l + 8*l = -7*l + 17*l + 3*z + 39 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8845 is divided by 3028.\nAnswer: 2789","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = a + 2*o, 0 = -1204*a + 1206*a - 2*o - 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**2 - 8. Let i(h) be the second derivative of h**4\/12 - h**2\/2 - 7*h. Give a(y) - 4*i(y).\nAnswer: y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182452, 182424, 182378, 182314, 182232, 182132?\nAnswer: 182014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**4 - 12*t**3 + 7596*t**2 + 45468*t + 68040 = 0. What is t?\nAnswer: -42, -3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*q + 414 - 6*q + 344 - 770 to the form g + o*q and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 263760 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3200860923.508 - 34.\nAnswer: -3200860957.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 5*b + 5. Let p be u(5). Let h be 2\/3 - ((-304)\/(-30))\/8. What is the nearest to -1\/3 in 1, p, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*h**3 + 2*h**3 + 0*h**3 + (3 - 3 - 2*h**2)*(h - 4*h + 6*h).\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 i when three letters picked without replacement from {l: 3, g: 1, i: 5, f: 3, e: 5, s: 1}.\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25543314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/4)\/a*a)**3\/(a**(-5)*a**2))\/(((((a**(-1\/5)\/a)\/a)\/a)\/a)\/(a*a**(-2\/5)))**(-48) assuming a is positive.\nAnswer: a**(-4563\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 3) to base 15\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -139121653*d*p**2 - 133894*p**2 + 201*p wrt d?\nAnswer: -139121653*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6)*j**(2\/3)\/j)**(-2\/9) assuming j is positive.\nAnswer: j**(38\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*a = 2*o - 111, -3*o = 4*a - 320. Let x be (-124)\/(-2)*1\/8*-4. Let p = x + o. Calculate the greatest common factor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evp when three letters picked without replacement from jcjvjvccpvcve?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**3\/5 + 28823*g**2\/5 - 42840616*g + 18619304240 = 0.\nAnswer: 463, 14180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jusjjxk. What is prob of sequence ju?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x + 0*x = -520. What is the highest common divisor of x and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.4, -3, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**8\/400 - 11*h**7\/140 + 52*h**6\/75 + 16*h**5\/25 + 196*h**3\/3 + 2. Let b(t) be the third derivative of w(t). Factor b(l).\nAnswer: 3*l*(l - 8)**2*(7*l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279618852 a multiple of 961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -151347, -151349, -151351, -151353?\n\"Answer: -2*h - 151345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (231\/385)\/((-14)\/(-20)*2)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-4 + 4)) + (-38 + 16 - 55)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*y + 80*y + 10*y - 2112 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d*l*z - 14*d*l - 22*d - l*z + 4*l + 161*z wrt l?\nAnswer: d*z - 14*d - z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pllllllpllllllplpl. What is prob of picking 1 l and 1 p?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t + 12, 415 = h - t. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 19 = 5. Let d be (21\/(-4))\/(3\/i). What is the units digit of (d\/4)\/(4\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/1075494 and 17\/15834.\nAnswer: 13981422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -100838\/55 - -9168\/5. Find i, given that -t + 2\/11*i**2 - 2\/11*i + 2\/11*i**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 3. Let k = -3\/2 + 2. What is the closest to k in v, -0.3, -2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/s**0)))**(-23\/3)*s**(2\/7)\/s*s**4)**(1\/33) assuming s is positive.\nAnswer: s**(-92\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 9*c**2 - 6. Suppose 4*w - 175 = -123. Let z(p) = 18*p**2 - 13. What is w*n(b) - 6*z(b)?\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/7049 and 127\/3710.\nAnswer: 70490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 3 - 1 + 9*q**2 - 9*q + 1. Let n be i(8). Let p(t) = -4*t**2 - 6*t. Let f(o) = 3*o**2 + 2 - 2 + 5*o. What is n*p(s) - 6*f(s)?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10180 is divided by 2487?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -28, -47, -72, -103, -140, -183?\n\"Answer: -3*q**2 - 10*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 29) + (1 - 0) + 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -6, 4*j - 4*x + 2036 = -6*x. Is 8 a factor of -2*4\/(-40) + j\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2886*(-1 - (1 - 3)). Is t\/(-2)*16\/48 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, 148, 450, 872, 1414, 2076?\nAnswer: 2858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34507127.\nAnswer: 17, 2029831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yysjyynnv. Give prob of picking 1 s and 3 y.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(98))*4.\nAnswer: -8 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 23*n - 191. Let j(b) = 3*b - 26. Let w(r) = -15*j(r) + 2*t(r). Let o(q) = 1. Let d(z) = -9. Let l(i) = -4*d(i) - 33*o(i). Give -8*l(c) + 3*w(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*g - 7980 = -11*g - 266*g for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 253 + -248. What is the closest to 1 in 3, 2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.44 + 224.56. Let y = -27 + p. Let a = y - 200.000107. What is a rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s + 6. Give a(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -3\/2 (c) -1 (d) -0.6 (e) 0.4 (f) 34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 31\/4 - 2\/(-8). Let f be 3 + 1 + -2 + -2. Let r = f - -5. Solve 0 = r*j - 2 - o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211974 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**7\/840 + j**6\/60 + j**5\/120 - j**4\/24 - j**3\/3 - 7*j**2 - 26. Let v(k) be the third derivative of f(k). What is v(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -5*s + 21*s - 117 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.12 - 0.02. Which is the nearest to 1? (a) -0.5 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwec when four letters picked without replacement from uwuwxceuxcjxuew?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72.6 + 73. Which is the nearest to -2\/5? (a) 0.08 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -16. Let p = d - -4. Solve v = p*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.229259088 rounded to three decimal places?\nAnswer: 0.229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 2)\/(3\/(-4)). Suppose 2*n = -5*v + 22 - 5, 3*v = -s*n + 13. Solve 0 - 3 = v*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47391840 is divided by 23695920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -152 divided by 7\nAnswer: -152\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 532 and 1820756?\nAnswer: 34594364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**2 + v - v)*(4 - 2 - 1) + 36*v**2 - 808*v**2 + 1 + 1 + 4645*v**2 to the form i + a*v + x*v**2 and give x.\nAnswer: 3872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/2)*y)\/(y\/(y*y*y\/y**(-28)*y)))\/(y**9*y*y**(-2\/23)) assuming y is positive.\nAnswer: y**(947\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 303, -0.4, -34, -2, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen halves of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, 4.3, 4, -16\/35, 0.4, 0.1 in descending order.\nAnswer: 4.3, 4, 0.8, 0.4, 0.1, -16\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**2 + 14852930*k + 11030476479245 = 0?\nAnswer: -1485293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvvi when four letters picked without replacement from civvvcvvmc?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 28586, 27270, 25976, 24716, 23502?\n\"Answer: 2*j**3 - j**2 - 1327*j + 29912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oto when three letters picked without replacement from {o: 6, t: 12, x: 1}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 5 - 3 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 10. Let a = -2 + 2.8. Let k = 0.4 - a. Put w, 0.2, k in descending order.\nAnswer: 0.2, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k**2 + 3. Let i(f) be the first derivative of 5*f**3\/3 - 4*f - 37. Calculate -3*c(l) - 2*i(l).\nAnswer: 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 7\/(-2) + 2. Let z be 0 + 82\/141 - -1. Let d = z - -4\/47. Which is the nearest to k? (a) -1\/4 (b) d (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 11*i - 5. Let x be l(11). Let o = 6 + x. Let v be o\/(-5) + 141\/5. Calculate the greatest common factor of 42 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 3)*2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {z: 1, u: 2, a: 1, o: 1, q: 1, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + (-14)\/6)*-9. Let m = 5 - x. Let g be -2*(11\/7 + (-9)\/(-21)). Sort m, -1, g in descending order.\nAnswer: m, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10310*o - 10306*o + 12 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (-4*sqrt(10)\/sqrt(5))**2) + -2*sqrt(128).\nAnswer: -32 - 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(96)*4)\/(-1*4*sqrt(9)\/sqrt(3)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24 - 82) + 1 - -37) + 134?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 418 and 6574?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-135 + 147 + 108)*(-11*g + 11*g + 5*g) in the form r + o*g and give o.\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/5 - 2*-3. Solve -k = -s*j + 5, -2*k + 3 = 2*j - 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 2 = -5*i. Solve -5*y = 5*s + 5, 4*s - i = 2*y + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 19935.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 10*l + 8. Suppose 0 = -3*f + 3 + 18. Let y be h(f). Let j be y\/10 - 2\/(-10). Solve j*r - 3*r = 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 8*m - 24. Let x = m - -18. Suppose -5*q + 6 = z - 2*q, -5*q = -5*z + 10. Solve 0 = -z*d + x*d - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c**5 - 115*c**4 + 145*c**3 + 415*c**2 - 760*c + 300 = 0. What is c?\nAnswer: -2, 2\/3, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 8*r**2. Let l(n) be the first derivative of -n**6\/180 + 2*n**3 - 1. Let p(f) be the third derivative of l(f). What is p(g(a))?\nAnswer: -128*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 254, 1759, 14 in decreasing order.\nAnswer: 1759, 254, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7409\/234 + -486\/13. Find the common denominator of f and -19\/58.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 1\/45*w**6 + 1\/15*w**5 + 0*w**2 + 0 + 0*w**3 - 9*w + 0*w**4. Factor o(n).\nAnswer: 2*n**3*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12581 + 42432 = -2007*a - 36380 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.3374 millimeters to kilometers.\nAnswer: 0.0000133374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vi when two letters picked without replacement from {v: 3, g: 1, i: 1, h: 7}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}