diff --git "a/data/dm_maths/full_data_2/209_11255.jsonl" "b/data/dm_maths/full_data_2/209_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/209_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let n = -13.372 - 183.828. What is n rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 235768*o - 235537*o - 6237 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**5\/12 + 5*h**4\/2 + 61*h**2\/2 + 159*h. Let r(l) be the first derivative of c(l). Factor r(g).\nAnswer: 5*g*(g + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51976611143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7515, 30050, 67607, 120186, 187787, 270410?\nAnswer: 368055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-24) + 133\/(-57).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18768 a multiple of 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a - 5*a**3 + 4*a**2 - 3*a**2 + 6*a**3 as k + z*a**2 + r*a**3 + l*a and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 648950983, 648950984, 648950985, 648950986, 648950987?\n\"Answer: f + 648950982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**4 - 4280*k**3 - 8700*k**2 + 102960*k = 0.\nAnswer: -6, 0, 4, 858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzz. Give prob of picking 2 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = 4*h - 11*y - 1 + 68, 0 = -3*y + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -735*l + 363*l - 276 = -360*l for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1627*k**2 - 1668*k?\nAnswer: -3254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/2)\/(0 - 1). Let o be (l - 2\/(-2)) + 1. Suppose 4*a - 4*c - 20 = o, 2*a - c - 4 = -5*c. What is the remainder when 7 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133\/(-95) - (-1 + (-6)\/(-10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 4*p - 17. Let k be i(-7). Suppose -b = -k*y - 203, -b + 4*y = 2*b - 609. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + (-336)\/(-36))*-1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.85 + 115.15. Let h = t - 116. Let z = 0.7 + 1.3. Which is the nearest to 1? (a) 5 (b) h (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 3*q**2 + q + 3*q**2 - q + (q**2 - 2*q**2 + 2*q**2)*(1 - 3 + 0))*(1 - 3*q - 1)*(2 + 0 + 1) to the form m*q + n + k*q**2 + w*q**3 and give w.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1489481, -1489658, -1489835?\nAnswer: -1490012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(432))\/sqrt(4).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -118792, 5, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*q = -0 - 2, 24 = 4*f - 4*q. What is the first derivative of 5*v**f - 7*v**2 - 9 + 8*v**2 wrt v?\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -9, -18, -0.06, 3, 3078 in ascending order.\nAnswer: -18, -9, -0.06, 3, 4, 3078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 26*b**2 + 11*b + 1. Let g(r) = 40*r**2 + 9*r + 3. Let z(j) = -2*g(j) + 3*h(j). Determine z(10).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a - 7 + 7 - 1 - 12*a + 1 + (-1 + 5 - 5)*(3*a - 3*a + a) in the form x + g*a and give g.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -89, -292, -631, -1106, -1717?\n\"Answer: -68*m**2 + m - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60768 is divided by 35?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5637 + -5637. Let v(z) be the first derivative of 0*z**4 + h*z + 0*z**3 - 7\/5*z**5 + 2*z**2 - 15. What is the second derivative of v(m) wrt m?\nAnswer: -84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = z + 23, -n + 40*z - 32*z + 19 = 0 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464 a factor of 926348928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1375)\/(-5) - 2)*420\/98.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -13, 0.1, 0, 7, -0.07 in descending order.\nAnswer: 7, 2\/7, 0.1, 0, -0.07, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (1 - 4) + (-4 - 12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173\/3 + 26\/(-39) is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27457 + 204905 = 82*p. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 988 = 8*z. Let k(y) = 26*y**2 + 8*y + 7. Let r be k(-2). Suppose -6*n = -n - 4*p - r, 0 = -p. Calculate the highest common factor of z and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -3*z + 5*b, -5*b = -2*z - 13 - 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -10*u**3 + u**2 - 1. Let v be k(-1). Let d = 11 + v. Solve -4*t + 5 = d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 15*p + 4. Let u(k) = 16*k + 3. Determine 3*g(l) - 4*u(l).\nAnswer: -19*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*h - 2*h + 6082 = 0, 3*h = 9. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 1313?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(320)*4 + (sqrt(5) - sqrt(35)\/(4*sqrt(7))))**2 + 3 + (sqrt(240)\/sqrt(12) - sqrt(5)) + sqrt(5) + sqrt(45)*-2 + sqrt(5)).\nAnswer: -429265\/16 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4024078 + 7?\nAnswer: -4024071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2607 (base 16) to base 8\nAnswer: 23007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1205, -1206, -1207?\n\"Answer: -c - 1204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**2 - p + 1. Let i be a(-2). Let h = -1 + i. Suppose -4*k + h = -26. Calculate the greatest common divisor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y**2 - 11*y + 38*y**2 + 11*y.\nAnswer: 52*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 32*l + 33*l + 21 - 1, 0 = 15*a + 5*l + 115 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**4 - 5*m**4 - 4*m**4)*(7 - 3 - 2) - 3*m**4 + 2*m**3 - m**4 + 0*m**3 - 3*m**4 - 3*m**4 + 7*m**4.\nAnswer: -13*m**4 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 638316267 and 1406?\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 3*p - 14. Find the second derivative of -9*z - 41*z**2 + 67*z**2 - 44*z**p wrt z.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-1 + -6 + -17 + 18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30374557 (base 8) to base 13\nAnswer: 143a724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*v**2 + 4*v**2 + 3*v**2)*(4 + 5*v**3 - v**3 - 5) + v**5 - v**3 - 2*v**5 - v**5.\nAnswer: -10*v**5 - v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -433, -410, -387, -364?\n\"Answer: 23*c - 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -1 + 1 - (429 - 438) - -27.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 1379002*a**2 - 4137020*a - 2758016.\nAnswer: 2*(a - 689504)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -2\/332669715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x**(-1))*x*x*x\/((x*(x*x*x*x*x**(-3))\/x)\/x)*x)**35\/((x**(2\/9)*x**(3\/8))\/(x**(-3\/5)*x*x**(-1\/4)*x)) assuming x is positive.\nAnswer: x**(75799\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.5, 3\/4, 78\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*2 + 3 + 0 + 1 + 5 + sqrt(117)\/((1*sqrt(90))\/sqrt(10)).\nAnswer: 9 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70055510 less than 70055509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**2 + 7*q**2 - 5*q**5 - 8*q**2 wrt q?\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (1 + -9) - (0 + 1 - -3). Put 133, -0.5, k in ascending order.\nAnswer: -0.5, k, 133","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 6)*(2*x - 2*x - x) + (-x - x + 0*x)*(2 - 1 - 2).\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + ((2 - 5) + 2 - 3) - 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from {b: 1, p: 1, d: 1, l: 4, m: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/24 + (-3)\/9.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 627*m**2 - 88568*m - 3248304.\nAnswer: -(m + 59)*(m + 124)*(m + 444)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 0*l**2 - 1 + 0*l - 4\/3*l**3. Let i(m) be the second derivative of -m**3\/6 + 374*m - 2. Give t(i(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, c: 9, u: 4}. Give prob of picking 3 g.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -62, -40.5?\nAnswer: -40.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.008 times -0.07\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) 0.13 (b) -4 (c) 0.1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 98*o**2 - 196*o - 3924. What is the thousands digit of n(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + (-27)\/(-15))*-5. Solve -3 - q = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 + 65*c**2 + 34*c - 48. Calculate z(33).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 + 25*a**3 - 12*a**3 - 13*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 11, k: 9}. Give prob of sequence kk.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 344364, 688205, 1032036, 1375851, 1719644, 2063409?\n\"Answer: -o**3 + o**2 + 343845*o + 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 8, 0*f = -3*f + 3*y - 1086. Let g = f - -369. Determine q so that -q**g + 0 + 4\/3*q**4 - 1\/3*q**5 + 4\/3*q - 4\/3*q**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fafafaffaafaffjaaaa. Give prob of sequence jfaf.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21043*b**4*k**2 - 305*b**3*k + 6*b**3 + b**2*k**2 - 13*b**2*k - 4653*b*k**2 - 153*b wrt b?\nAnswer: 505032*b*k**2 - 1830*k + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*r - 45*r - 109 = -2429. What is the highest common factor of r and 1355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/32 - (-282)\/8. Suppose 0 = -h + 25 + i. Suppose -5*x = -0*x - h. What is the highest common factor of x and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-40)*(-90)\/(-63). Which is the nearest to n? (a) -28 (b) 2\/17 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1 + 0 - 22*l**2 + 26*l - 10*l + l**2 + l**3 + 22*l. Let b be w(19). Which is smaller: 5\/188 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179068987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*b + 3*p - 6, 3*p - 6 = 0. Suppose 6*h - 4*h = b. Suppose -3*k - 1 + 7 = h. Solve -t = t + k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q. Let c = 85 + -78. Let a(g) = 5*g. Let h(j) = c*a(j) + 6*u(j). Let s(m) = 0 - 30*m**2 + 0. Give h(s(o)).\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0022367 rounded to four decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h**2. Let y(z) = -12*z - 534. Let s(j) = j + 133. Let w(a) = -4*s(a) - y(a). Determine w(u(l)).\nAnswer: 40*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 6:11 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.540115 meters to kilometers.\nAnswer: 0.006540115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50.64 - 0.36. Let q = -57 - c. Sort q, 2, 2\/25 in ascending order.\nAnswer: q, 2\/25, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1020 * -1.1.\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 10 = -u, -472*q = 4*u - 471*q - 51. Suppose s = -2*s + 51. Solve -s*c = -u*c + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/328 and -33\/16810.\nAnswer: 67240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3*b + 0 - 4*b - 2*b + b - 4*b + b + 4*b + 2*b + b - b + (-4 + 3 + 2)*(b + 0 + 0) + 2*b - 2*b - b + b - 1 + 1.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*r = 72, 3*r + 0 = -9. What are the prime factors of x?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -107? (a) -1634 (b) -6 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/8, 5, 0.1, 2\/9, 13, 3\/40?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -22212221 (base 3) to base 6\nAnswer: -45554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**2 + 4*a**2 + 0*a**2.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-6))**26*(h**(2\/7))**(-33) assuming h is positive.\nAnswer: h**(-976\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -9 + 1. List the prime factors of 24 + 12\/(-4) + b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -48, 2777, 0 in ascending order.\nAnswer: -48, -5, 0, 2777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/3))\/z*z\/(z\/(z**(16\/9)*z)) assuming z is positive.\nAnswer: z**(28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.28975122 rounded to two dps?\nAnswer: -48.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/88 and 127\/1872?\nAnswer: 20592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*z + 3. Suppose 1 + z = -m. Let t(w) = -3*w**3 - 3*w**2 - 4*w - 3. Let h be t(m). Solve 5*x = -3 - h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + sqrt(1100)*-1 + -4 - -3*-1*(-1 + sqrt(1100))) + 5)**2.\nAnswer: -10000*sqrt(11) + 440625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14165994?\nAnswer: 2, 3, 2360999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -141 - -261. Let h be ((-2)\/4)\/((-4)\/p). What is the highest common divisor of 165 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*d + 4*q, -5*d + 2 = -4*q - 5. Let z = d - 1. Suppose -5*x = p - 94, 3*x - 106 = -z*x - 4*p. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11303689 - -0.4.\nAnswer: -11303688.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 6*t + 3. Find the third derivative of 605*i**3 - 605*i**t + 8*i**2 - i**4 wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4 - 12 = 2*c, 18 = -c + 4*w. Suppose 5*q + 2*p - 46 = 0, 7*q = c*q + 5*p + 60. Let g be (3\/q)\/((-9)\/24). Which is bigger: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0051023 to four dps.\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.0064 - 31108.89.\nAnswer: -31107.8836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61*b + 31 + 136*b + 52*b - 31)*(29*b + 30*b - 23*b) to the form t*b + j + d*b**2 and give d.\nAnswer: 8964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h + 203 = 19*h + 17*h for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 10*f - 2. Let a be s(10). Let n = 47 + -50. Let t be (3 + a)*(n + 6). Solve -x - 3*x + j = -3, -t*x - 9 = -3*j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220004 - 3?\nAnswer: 220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/9, 0.275, -2\/7, -27?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -18, -84, 0 in decreasing order.\nAnswer: 0, -3, -5, -18, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6.062 times -1\nAnswer: -6.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-256)\/(-10) + 2\/5. Suppose -5*r - 8 = 2*t - 30, -4*t - r + z = 0. Suppose d = -2*d + t. Calculate the highest common factor of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(270)*4)\/sqrt(9))\/(-3*sqrt(150)*6) + 5 + 5)**2.\nAnswer: -8*sqrt(5)\/3 + 4504\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -21. Let w = -7.7 - h. Let l = 2\/3 - 1. Which is the nearest to l? (a) 5 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -880 = 34*d - 39*d. Let f = -142 + d. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 482244?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -0.051, -0.03 in descending order.\nAnswer: 4\/3, -0.03, -0.051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -88 - -11.3808\nAnswer: -76.6192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3625 - -3799. Calculate the greatest common divisor of 725 and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37*0.2\nAnswer: 7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1826, 3668, 5500, 7316, 9110, 10876, 12608?\nAnswer: 14300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -r - 3*r + 87, 5*a - 47 = -2*r. Let o = r + -15. What is the greatest common divisor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*17.625.\nAnswer: 3.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - 5 - -44) + -12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 1 = -5. Suppose i*s = -5 + 3. Let p(j) = -j. Let h be p(0). What is the closest to -1 in h, 2\/9, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 3 + 3)*(12 + 10 - 9 + 9)*(17 - 6 + 34).\nAnswer: 990*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-260)\/(-30) + 1\/3. Suppose o = -2*o - j. What are the prime factors of ((-12)\/20)\/(o\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.942 and 6387067885.\nAnswer: 6387067885.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23940 by 3990.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 16. Suppose -w = 2*t - 40, -u*w = 3*t - 4*t + 31. Find the common denominator of 26\/5 and (16\/t)\/((-4)\/(-30)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**2 + 8*h**2 + 6*h**2 + 0*h**2 + 13*h**2 - 5*h**2 - 31*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4201, 8403, 12601, 16789, 20961, 25111, 29233?\n\"Answer: -v**3 + 4*v**2 + 4197*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, r: 1, e: 1, x: 4}. What is prob of picking 1 j and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004143 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + sqrt(704)))**2 + -5.\nAnswer: 1024*sqrt(11) + 11515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1764*u**6 - 10774*u**6 - 2479*u**2 - 845*u**2 wrt u?\nAnswer: -1081200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 336\/(-189)*3\/(-3)*-2*(-990)\/220?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60.5984595 + 49.59845908. Let t = 109 + -120. Let z = t - x. Round z to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-7 + 4)) + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 112*p**6\/15 - 10*p**3 - p**2 - 13*p. Find the second derivative of h(b) wrt b.\nAnswer: 2688*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 25. Let d(z) = -z**2 - z. Let a be d(-1). Let m be x(a). Let j = m + 46. Round j to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178858843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 348318 to the power of 1\/2, to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -26. Suppose -k + 5*k = 20, 930 = b*t - 5*k. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**2 - 11*p**2 + 4*p**2 - 10*p**2. Let k(s) be the first derivative of 112 + 0*s - 5\/2*s**2. Calculate k(o(t)).\nAnswer: 65*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 155 + 164 + 2124*y**3)*(y - 3*y - 6*y).\nAnswer: -16992*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6967, 13918, 20763, 27502?\nAnswer: 34135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93081 + -93128.109. Let v = 0.109 + z. Which is the biggest value? (a) -0.5 (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*p**2 - 68*p**2 - 60*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 2*c**2 - 11*c - 9. Let x be v(-4). Suppose -8*j = -11*j + 117. Let s = j + -34. Solve x*g - 2*g = -s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17329 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-48)\/18 + 8\/2. Let y(r) be the first derivative of -1 - 6*r - 1\/4*r**4 + 2*r**2 - w*r**3. Give y(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.99538g in nanograms?\nAnswer: 79995380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -188.89344 rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2437)\/22500 - (7 + -6 - (-280)\/(-252)) and 73\/1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 20*i**2 + 23*i + 18. Let a(r) = 5*r**3 + 101*r**2 + 114*r + 90. Let s(f) = -2*a(f) + 11*o(f). List the prime factors of s(-16).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178377807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -196*a**3 - 11*a**2 + 9*a + 10. Let t be 10\/(-6)*(4 + -10). Let b be j(t). What is b rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from ktffthmh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 580542*z - 4063844. What is h(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8178)\/30*-5 - 14 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 4*w**2 + 3*w - 1. Let u be o(3). Does 40 divide (4\/10)\/u*-120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 3*m + 12, 33*a = -3*m + 34*a + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.92913km to nanometers.\nAnswer: 62929130000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.0108 + -0.0108. What is the third biggest value in -1\/12, t, 3\/10, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3068646872 and 3.\nAnswer: -3068646869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 413118150 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43085861041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 83 (b) -6\/5 (c) -16 (d) 407\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486611 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95 + -68. Suppose 3 + r = 5*h. Suppose 17 - 77 = -5*g. What is the greatest common divisor of h and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 + 3 + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406*h - 2659*h - 1046*h - 52 - 1652*h.\nAnswer: -4951*h - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifmffiiiryyyyrmrmfii. What is prob of picking 2 y?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - -6. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -34457300004 and -5744.\nAnswer: -34457305748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17 + -25?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5221635 (base 9) to base 14\nAnswer: -528904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2076877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 227 (base 13) to base 6.\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339471.\nAnswer: 3, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5 = -2*k, 2*z - 6*k + k = -2. Let t be (-8 - -10)*3\/z. Is t greater than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1181, -4782, -10783, -19184, -29985?\nAnswer: -43186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45234 divided by 3835.\nAnswer: -45234\/3835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f, -13 = -3*i + 3*f + 2. Suppose 0 = -i*j + 2*b + 15, -7*j + 5*b = -3*j - 29. Is 4\/17 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -478 - -519.8. Let y = -42 + z. Which is the closest to y? (a) -1 (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-16 - (-5 - -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16889368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -103 + -30?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, 0.5, -3, 0.01?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/(-2) - 3\/2. Solve -3*g = k + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1208, -4, 20, 72, -2\/5 in decreasing order.\nAnswer: 72, 20, 0.1208, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + -3 + (3 - -3). Suppose 4*o - c = -18. Let r be (-1)\/((-1)\/o*-1). Solve -r*t - 16 - 4 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1538925180.\nAnswer: 2, 3, 5, 13, 1972981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2724596)\/(-5))\/4 - (320\/25)\/16 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.89398 to 0 dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.470855 rounded to three dps?\nAnswer: 0.471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1534\/1066475 + 6\/1471. Let o = 64549\/4350 - k. Let s = 1621\/6 - 268. Find the common denominator of o and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -0.39.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/17 (b) -3\/14 (c) 0 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 12, -0.1, -4, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 5:14 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -833*z**3 + 6*z**2 - 23*z - 9. Let v(f) = -831*f**3 + 5*f**2 - 24*f - 7. Let h(l) = 6*v(l) - 5*y(l). Find the second derivative of h(w) wrt w.\nAnswer: -4926*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 10. Let v be 2 + (-3 - b) + 0. Find the first derivative of v - 3*f + 3 + 0 wrt f.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7063 is divided by 102?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60539219?\nAnswer: 13, 367, 12689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*w - 90*w - 66*w + (1 - 1 - 1)*(-2 + 2 - 2*w) + (-2*w + 2*w - 2*w)*(-3 - 2 + 7) - 3*w - 2*w + 4*w as s*w + t and give s.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4084677, -16338645, -36761925, -65354517?\n\"Answer: -4084656*a**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-56)\/3)\/4 - (-4)\/6. Let w = 0.3 + -3.3. What is the nearest to 0.1 in 1\/4, w, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t + 123 - 171 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + 56. Let h = 2138 + -2120. Calculate the remainder when y is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-15))\/(1\/(-5)). Suppose -3*y + 4*h + 28 = 0, -w = -5*h - 21. Let c = 1 + 1. Calculate the highest common factor of y and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19962*x + 328 = -19880*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/9)\/x**(-6))**(-9\/7)*(x**(-5)*x*x*x**(6\/11))**41 assuming x is positive.\nAnswer: x**(-1195\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*k + 5*k, m = -2*k + 4. Let a be (1 - -1) + 0\/(-3). Differentiate -10 + 485*g**m + 3*g**3 - 485*g**a with respect to g.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, 0.47, -8\/59, -3?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 - 349*u. Let h(k) = -360*k**2 + 124*k**2 + 119*k**2 + 115*k**2. Give n(h(p)).\nAnswer: 8*p**4 + 698*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4 - 5952*l**3 - 13284864*l**2 - 13178585088*l - 4902433652736 = 0 for l.\nAnswer: -1488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1251, 3295, 5339, 7383, 9427, 11471?\n\"Answer: 2044*d - 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -271, -541, -811?\n\"Answer: -270*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.70058mg to grams.\nAnswer: 0.01170058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13898*j**4 - 7*j**3 - 2*j**2 + 3*j + 9211.\nAnswer: 333552*j - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6*6\/50. Let f be (-24)\/(-4) - 10 - (-16)\/5. Which is the third biggest value? (a) -1\/5 (b) f (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(3)*-1 + (sqrt(3) - (sqrt(243) - (sqrt(243) - 1*sqrt(243))))**2.\nAnswer: -4*sqrt(3) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*y = -3*r + 16, 0 = -2*r - 2*y - 2. Calculate the greatest common divisor of r and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**3 - 6*y**2 - 7*y - 2. Let d be t(-2). Let j be 7 + (-4)\/(-1) - -1. Are j and d non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -11. Let f = 11 + k. Suppose 0 = -v + 6 + f. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 123947401?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3486183479 to four dps.\nAnswer: -0.3486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 391\/(-34) + 10 + (76\/8 - -5)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 50, 42, 34, 32, 42, 70, 122?\n\"Answer: z**3 - 6*z**2 + 3*z + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -78 + -2 + ((-4 - -23) + -19 - (-3 - 0)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 133 - 25. Suppose -2*n + 0*c = 3*c + 183, -2*n - 208 = -2*c. Let m = -87 - n. What is the greatest common divisor of i and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 23*n**3 - 35)*(1 - 3 + 3)*(0*n + 2*n + 0*n).\nAnswer: -46*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 21*i + 14. Let x be b(-21). Suppose o - 5*a = x, -o + 3*o - 4*a = 16. Solve 0 = 4*k - 0*k + o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 132*s - 115. Let p(j) = 399*j - 325. Give -11*f(k) + 4*p(k).\nAnswer: 144*k - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - h - 1. Give k(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*y + 36*y - 3 = 0, 32*w + 8*y - 15 = 3*y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*q = 102*q - 11830. Let x = -833 + q. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -11*h**3 + 2*h**2 - 3*h + 2. Suppose 0*z = -4*f + z + 1, 3*f = -5*z + 18. Determine s(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 8:21 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 40*n**2. Let d(t) = 67*t - 49. Let l be d(11). Let h(f) = -698 - 2*f - l + 1386. What is x(h(p))?\nAnswer: 160*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/24)\/((-18)\/(-42)). Let y = -57\/56 + m. Which is the nearest to -8? (a) -0.1 (b) y (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 262? (a) 1 (b) -3 (c) 3 (d) 31.3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 3. Let q = v - 6.5. Let s = 0.1 - 0. What is the nearest to s in 1, q, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 - 3*i**3 + 3*i**3 - 3*i + 3*i - 2*i**3 + (-10 + 10 - 9)*(3*i**3 - i**3 - 4*i**3).\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**6\/30 - n**5\/4 + 13*n**3\/2 + 20*n. What is the second derivative of z(o) wrt o?\nAnswer: 12*o**2 - 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 801 = -3*o, 0 = -5*o - 4*u + 3*u + 1318. Calculate the remainder when o is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - q = 2*k - 16, -3*k - 4*q + 22 = 0. Suppose -4*i + a + 16 - 2 = 0, 4*i = -3*a + k. What is the remainder when 10 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 21.999956. Round n to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 6. Let f be z(6). Suppose -r = -2 - f. What is the remainder when 8\/(6\/(-72)*-8) + -6 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56*w + 24 - 48*w + 4*w**3 + 44*w**2 + 68*w + 12.\nAnswer: 4*(w + 1)**2*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d**2 + 25*d - 14. Let b(j) = 25*j + 11120*j**2 - 5 - 7 - 11125*j**2. Let x(s) = 7*b(s) - 6*t(s). Find l, given that x(l) = 0.\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1097609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -9, -27, -53, -87, -129, -179?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 11:38 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -f - 6 - 11, -2*r = 4*f - 20. Suppose 10 = 3*i - 5*z, 9*i - 5*z = r*i + 20. Suppose 57 = i*t - 8. Calculate the remainder when t is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 68*s - 41*s = 26*s + 2, 36 = b + 4*s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 8*u**2 - 3*u + 3. Let f be d(1). Suppose -73*y + 69*y = -f. Solve 3*c + n - 5 = 6, y*n = 5*c - 22 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26266*f - 80 = -26306*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-2)*90\/216*-4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 63*v**2 - 250*v + 213. Calculate t(5).\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8*(-8)\/((-256)\/(-12)). Let g = -18 + 9. What are the prime factors of g\/(s\/(-3 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 6*l - 10. Give j(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1008, -8187, -27676, -65631, -128208, -221563, -351852?\n\"Answer: -1026*r**3 + r**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, t: 1}. What is prob of picking 1 t and 2 z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 8:54 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.813 rounded to 1 dp?\nAnswer: -30.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 + 2)*(-3 - 6 + 15)*(0*f**4 + 0*f**4 - 2*f**4) to the form b*f + m*f**2 + k*f**4 + p + c*f**3 and give k.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72.8 - -72.652. Let s = o + 0.138. Which is the biggest value? (a) -3 (b) s (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4370 less than or equal to 4372?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 + 80. Suppose -2*y - 8 = -o, 5*o - 22 = z*y + 18. Suppose w + o = -1. Which is greater: -8 or w?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -54, -5 in increasing order.\nAnswer: -54, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9619479 by 4.\nAnswer: 9619479\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 9*d - 5. What is n(-7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3947, -7643, -11327, -14993, -18635?\n\"Answer: w**3 - 3703*w - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-15) + (92\/20 - 4). Solve r = -4*l - 3 + 11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2295.99 plus -2376052?\nAnswer: -2373756.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/4 and 59\/3243.\nAnswer: 12972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m + n + 12 = 21*m, 7*m - 10*m + 2*n + 21 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, y: 5, t: 4, v: 4, x: 3, r: 1}. What is prob of sequence tvrx?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 18028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 11*k + 23. Let b(u) = 2*u**2 + 21*u + 40. What is 4*b(i) - 7*o(i)?\nAnswer: i**2 + 7*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from tioittotiovfitd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99 + 103. Find the second derivative of -542 - 2*j**z + 557 + 3*j - j + j**2 wrt j.\nAnswer: -24*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -152.2 and -81892.\nAnswer: 12463962.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q - 39. What is c(23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -573318280 to the nearest 10000.\nAnswer: -573320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228244220.\nAnswer: 2, 5, 47, 242813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25816423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -814*f**3 - 5*f**2 - 2*f + 4. Let j be c(-2). Round j to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3402678.\nAnswer: 2, 3, 317, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*c + 5*u + 62, 0 = -3*c + u + 37. Let i = 33 - c. Let t(j) = -11*j + 21 + 0*j - i. Let g(a) = -2*a. Calculate t(g(z)).\nAnswer: 22*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66963485?\nAnswer: 5, 47, 67, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6107*q + 205360 + 69455 = 0 for q.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wufmwwwrfurwuwmrmrfw. What is prob of picking 2 w?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/72*-2)\/(8\/48). Which is the nearest to y? (a) -2\/7 (b) 1\/7 (c) 18 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 125 - 290. Let d = 165 + h. What is the nearest to d in 18, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23939, 95804, 215633, 383426, 599183, 862904?\nAnswer: 1174589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - (-2)\/(-4))\/(-3). Let i = 1.202 - 0.702. Let p(q) = -q**3 - 7*q**2 - 6*q + 4. Let n be p(-6). Which is the nearest to n? (a) i (b) d (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 180 = -4*g. Let j = g - 40. Determine r so that -1 + 36*r**2 + 74*r**4 - 94*r**4 + 12*r**3 + 1 + j*r**5 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12163?\nAnswer: 12163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 11400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215002325?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 40 = -3*h - 2*h, 0 = 5*h - r - 15. What is the second derivative of 2*y + 3*y**3 - 5*y**3 - 3*y**3 + h*y**3 wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -18216, -6, -4 in descending order.\nAnswer: 0, -4, -6, -18216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2610, -2896, -3184, -3474, -3766?\n\"Answer: -q**2 - 283*q - 2326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**5\/60 - z**3 - 2. Let x(y) be the third derivative of k(y). Let l(h) = -2*h**2. Calculate l(x(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2320033230 + -22?\nAnswer: 2320033202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -173 (base 12) in base 15?\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y**2. Suppose 4*t - 12 = -4*f, -6*f - 2*t = -11*f + 1. Let v be i(f). Is -4 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 5*x + 4, -y = -x - 2*y - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + 0*t**2 + 5*t**4 + t - t**4 - 2 - t**2 to the form l*t**3 + z*t**4 + y + p*t + u*t**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k. Let o(q) = 2*q - 13. Let y(u) = -7*u + 12. Let i(n) = -n + 1. Let x(w) = 6*i(w) - y(w). Let v(f) = -6*o(f) + 13*x(f). Give z(v(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**7\/147 + 2*u**6\/105 + 2*u**5\/105 + u**2\/2 - 11*u. Let x(c) be the first derivative of m(c). Solve x(q) = 0 for q.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2\/5 (b) -3.16 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 140670 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 12:30 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -13. What is the remainder when 88 is divided by 8\/(-2) + h + -6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/4 - (-22)\/4. Suppose 3*c + c + 40 = 2*q, -76 = -5*q + i*c. Let x be 32\/(0 + (-1)\/(-3)). What is the greatest common factor of q and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 29*v - 15. Let n = -56 - -59. Let r be l(n). Calculate the greatest common divisor of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.310879 centuries?\nAnswer: 131.0879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 q when three letters picked without replacement from {q: 5, z: 7, r: 2}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-20) - (-45)\/20. Suppose p*s = -15*s. Suppose 5*z + 235 = 3*r, -5*r - 4*z + 441 = -s*z. List the prime factors of r.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**2 + 932*s + 1848 = 0.\nAnswer: -231, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/(-18) + (9518\/4 - 2) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i + 2. Suppose 34*t = 37*t - 12. Suppose t*x + 12 = -0*x, 5*x + 19 = -2*b. Calculate r(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 556*p - 1786*p = -92 + 32072 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3726704517.\nAnswer: 3, 19, 383, 170707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 119*g**4*y + 18*g**2*y - 11*g*y - 30*g + 2*y wrt g.\nAnswer: 1428*g**2*y + 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 11*h**2 + 11*h - 15. Determine c(-9).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 19\/(-6) + 0. Let i = 11\/3 - 3. Which is the second smallest value? (a) i (b) -2\/3 (c) 0.13 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319457.\nAnswer: 61, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, j: 1, q: 2, y: 6, s: 2, f: 3}. What is prob of sequence yyss?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 22*q - 19*q. Let d(w) be the second derivative of 0*w**2 - 7\/12*w**4 - 2*w + 0 + 0*w**q. Let k(g) = -g**2. What is k(d(x))?\nAnswer: -49*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/26))**(-6)*(c**21)**37 assuming c is positive.\nAnswer: c**(10110\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282, 1140, 2576, 4590?\nAnswer: 7182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 + -0.2. Let m = -219\/8 - -119\/8. Let y = m - -12. What is the biggest value in y, f, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -4.\nAnswer: -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 5 - 3)*(7*r - 2*r + r)*(-17*r**3 + r**3 - 10*r**3) to d*r**3 + p*r + k*r**4 + c*r**2 + g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**2 - 3*y + 2. Let m(g) = 11*g**2 + 21*g + 33. Let p(f) = -2*b(f) - m(f). Determine p(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4, -0.2, 8, -146\/9, -1\/2 in decreasing order.\nAnswer: 8, 4, 0.1, -0.2, -1\/2, -146\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.03313 - 5\nAnswer: -4.96687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.18 - -2.78. Let g = -0.069517 + -0.030483. Which is the third smallest value? (a) g (b) y (c) -0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1500*h + 31214 + 4786 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -142 + 22*q + 12*q - 35*q to the form d + z*q and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-27) + (-56)\/72. Let t = -9 - -10. Which is bigger: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*m + 5*m - 3*m - 5 - 2*m with respect to m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/71, 0.1041, -2\/3, -4, -1 in ascending order.\nAnswer: -4, -1, -2\/3, -12\/71, 0.1041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*(-11)\/((-264)\/64).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -504533*r**3*w**3 + 13*r**3*w**2 + 639*r**2*w**3 + 54507*r**2*w wrt r.\nAnswer: -3027198*w**3 + 78*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22330 is divided by 11164.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*v + 1)*(4*v + 0*v - 5*v) - 7*v - 4*v**2 + 20*v - 14*v.\nAnswer: -6*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 2*k + 12, -2*j + 257 = -2*k + 275 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3627 divided by -1622.\nAnswer: -3627\/1622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -196*(3512\/23706 - 11\/(-108))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*v + 25*v + 43150 + 72230 = 0. What are the prime factors of v?\nAnswer: 2, 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14893, -29959, -45199, -60607, -76177, -91903, -107779, -123799?\n\"Answer: u**3 - 93*u**2 - 14794*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 826*u + 52157 - 17707 = 296*u for u.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 142*o + 478. What is the remainder when b(-3) is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3982093.\nAnswer: 283, 14071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*t = 1984 + 2235 - 10493 - 5156 for t.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 8 - 8 = -4*q, -2*d = -4*q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0 - 2. Let r = -8 + 4. Put u, r, 4 in decreasing order.\nAnswer: 4, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from wivvwnvwii.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 39094, -1\/13.\nAnswer: -1\/13, 44, 39094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 9*l - 9. Let y be k(7). Is y\/(46\/(-7356)) - 7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0, -222, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30 + -246?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -16. Let a(z) = -2*z - 2. Let r be a(2). What is the common denominator of 59\/18 and (x\/r - -1) + -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -322 - -322.6. Is y bigger than -15\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107790044 to the power of 1\/2, to the nearest integer?\nAnswer: 10382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 12 = -100*o + 101*o, -12 = -5*o + 2*f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 106 and 2?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79706777363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-122 + 250 + -225 - (1 + -17)) + (0 - 2).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87*u + 93 + 81. Let f(d) be the second derivative of 0*d**4 + 7\/10*d**5 + 2*d**3 + 14*d + 0 + 0*d**u. Find the second derivative of f(z) wrt z.\nAnswer: 84*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 234*s. Suppose 68 - 109 = -2*b - 5*a, 0 = 3*b - 3*a + 12. Let v(h) = -26*h. What is b*p(w) + 26*v(w)?\nAnswer: 26*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 - 7*o**2 - 17*o**2 - o**2.\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 36 = 31. Let x(s) = -s**2 - 5*s + 6. Let u be x(k). Suppose 0 = -u*p + 8*p + 2. Which is greater: -4\/7 or p?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ba (base 16) to base 4.\nAnswer: -22322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -479 - -308. Let w be -1 - 0\/2 - u\/57. Put -2, -12, w in ascending order.\nAnswer: -12, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2. Let l(v) = -v + 1. Let w(o) = 6*l(o) + 3*s(o). Let f be (-7)\/(-14)*(3 - -1). Let r(c) = -5*c + c + f*c + c. Give w(r(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -36435 less than -94.4148221?\nAnswer: 36340.5851779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.31 in 4, 8, 0.09, 0.2, 9\/2?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53046\/(-84))\/421*(-5)\/(215\/(-4)).\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2511925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/g**14))*g)\/(((g**(-2\/3)*g)\/g)\/g)*(g**3)**(-10\/11) assuming g is positive.\nAnswer: g**(-431\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -4.3. Suppose -4*n - 4 = 2*m - 10, 4*m - 18 = -2*n. Is a >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 10*w**2 - 10*w - 7. Let n be s(-9). Let c = 13 + -18. Let h(v) = v**3 + 5*v**2 + 3*v + 5. Let k be h(c). Sort -3, k, n in descending order.\nAnswer: n, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j. Suppose -h + 1 = 2*a, -a + 4*a + 3 = 0. Let o(x) = -2*x + 2*x - 5*x**2 + h*x**2. Determine z(o(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 974\/9 - 108. What is the nearest to 2\/7 in 0.5, o, 1, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1136652 divided by -5214.\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 16*m**2 - 5*m + 70. Determine o(16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85 + 176 - 89 - 4*n)*(n**2 - 2*n**2 + 0*n**2).\nAnswer: 4*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2667583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (4 + 2)) + 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 4*s + 1. Let m be d(-3). Suppose y = -5*l + 24, m*l - 3*y = -l + 28. Let j = 39 - l. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1553139*y**3 - 2957652*y.\nAnswer: -9318834*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p**3 - 2*p**2 + 731*p - 5172 wrt p?\nAnswer: 6*p**2 - 4*p + 731","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6316257097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**3 + 92*b**2 + 544*b + 960 = 0?\nAnswer: -15, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + (sqrt(108) + (0 + sqrt(108) - sqrt(108)))*-2))**2 + (-4 + sqrt(36)\/sqrt(108)*6)*5.\nAnswer: -854*sqrt(3) + 4012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -9*r + 306. Let n be x(18). What is the highest common divisor of 180 and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -7*a - 1. Let t(u) = 33*u + 15. Let w(b) = -5*r(b) - t(b). Suppose 117*v = 112*v + 15. Give w(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146135.\nAnswer: 5, 11, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*s = 4533, -3*m + 2737 = 4*s - 1800. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14939?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 + -53. Let n be (-13 - -1)\/(15\/v). Is -7 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1639 divided by -1.\nAnswer: -1639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7103012, 7103009, 7103006?\nAnswer: 7103003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34\/3 - -11. Let g = -0.600285 - -0.200285. What is the closest to n in g, 0.1, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-92)\/(-8)*(1 + 1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004591003614 rounded to 5 dps?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18, -0.2, 38.4, -0.452?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + -2)*(-3 + 2 + 2). Let u be 3 - (4 + (-4)\/2). Suppose -5*v = 3*n + 12, -3*v + 14 = -2*n + 6. Sort j, u, v in decreasing order.\nAnswer: j, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 9*k + 7. Let m(w) = -w**2 - 10*w - 8. What is -6*m(q) - 7*x(q)?\nAnswer: -q**2 - 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2805, -3, 3 in decreasing order.\nAnswer: 3, 1, -3, -2805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2\/5 + 2*l\/5 + 144\/5 = 0. Calculate l.\nAnswer: -8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*4\/18*3. Which is the nearest to r? (a) -4 (b) -1\/2 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-10)*84\/42\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1780*o + 427*o + 180*o - 2544*o - 1203*o as s + d*o and give d.\nAnswer: -4920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3075037690 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6426*d**6 - 26*d**3*i**3 - 43*d**2*i**2 + 2*d*i**3 + 4*d*i**2 - 111*d*i wrt d?\nAnswer: 771120*d**3 - 156*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 + -6 + -196 + 190?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.369 - -8.969. Which is the smallest value? (a) -0.2 (b) -5 (c) n (d) 3 (e) 1.91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109 by -109.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-1 - -4) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2710396464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1171722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3))**(-2)\/(c\/c**(7\/4)*(c\/(c*c\/c**(-10)))\/c) assuming c is positive.\nAnswer: c**(137\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 11:01 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 707?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.48625 nanograms in micrograms?\nAnswer: 0.02648625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/786 and 32\/9.\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 9*v - 11*v - 12*v - 3. Let z be l(5). Which is bigger: -71 or z?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9781 + -9723. Calculate the remainder when 336 is divided by o.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -8*n**2 + 115*n + 6. Let w(j) = -16*j**2 + 275*j + 13. Let h(x) = 7*p(x) - 3*w(x). Let v(l) = 3*l**2 + 7*l - 1. Determine -4*h(c) - 11*v(c).\nAnswer: -c**2 + 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.476203 kilograms?\nAnswer: 6476203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3141 + 3167. What is the remainder when 112 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -8) + (2 - 1) + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2355 - 2453.9. Round a to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -610 + 1945 + 3332 + 3576 - 2*r.\nAnswer: -2*r + 8243","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -147*v**5\/2 + 42*v**4 - 6*v**3 = 0. What is v?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*d*o*s + 616985*b**2*o*s + 3*b**2*s - 6*b + 87*d*s - d - o*s with respect to o.\nAnswer: -b**2*d*s + 616985*b**2*s - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by -9\nAnswer: 43\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(168)\/sqrt(4))\/sqrt(3))\/(sqrt(128) + (-2*sqrt(128) - sqrt(128)) + sqrt(128) + (sqrt(2) - sqrt(2)*-2*-4)))**2.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 8 = 4*i, 0 = a + i + i + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 6*a**2 + a + a**2 + 3*a. Let y be ((-9)\/(-2))\/((-19)\/4 + 4). What are the prime factors of c(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 4*s - 8. Let v be b(-6). Solve 0 = -j - v*j + 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.31.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*i - 761 - 171 = 0, 4*i = 3*k - 2777. List the prime factors of k.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*f**3 - 5135*f**2 + 934*f.\nAnswer: -f*(f + 467)*(11*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 9*d + 11*d + 2*d - 11*d.\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 254257*t**4 + 2*t**2 - t - 11087102 wrt t?\nAnswer: 1017028*t**3 + 4*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7160.5824 - -42767?\nAnswer: 49927.5824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide (-18)\/(-81)*(0 + 1926)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.3 - 740.28.\nAnswer: -737.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 85*b**2. Let t(s) = -1678*s. Give t(a(x)).\nAnswer: -142630*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 7*j**2 + 1. Suppose -5*u + u = -20. Suppose -3*v = -2*b + 5*b + 9, -3*b + u*v - 41 = 0. Let f be l(b). Which is bigger: f or -6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3523 + 11589. What are the prime factors of x?\nAnswer: 2, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 80\/38 - (-1 + 3). Let d = 2 - -3. Let q = -2 + d. What is the third smallest value in 1\/6, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 17. Let c be u(15). Let y be 4 - (c - 1)*0. Suppose -t + y*j + 52 = 0, 0*j + 224 = 5*t - 2*j. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1508*f**2 - 785*f**2 - 732*f**2.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 118 - 469\/4. Is n smaller than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19545112 to two decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1162676.3629 less than -0.3?\nAnswer: 1162676.0629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6b8b - 21?\nAnswer: -6bb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 150721.5 to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v - 201*v**2 + v + 46*v**2 + 15*v**2 - 200*v**2 in the form h*v + p + x*v**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/3700 and 23\/1466240.\nAnswer: 271254400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11943, -23894, -35847, -47802, -59759?\nAnswer: -71718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 + 107*g**2 - 107*g**2 - 122146.\nAnswer: -2*g**3 - 122146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 - 7 + 80 + 60)*(2*p**4 + 0*p**3 + 0*p**3).\nAnswer: 204*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**2 - 7. Suppose 156 = 7*x - 3*x. Let z = -29 + x. Let k(y) = 9*y**2 + 13. Let h(n) = z*w(n) + 6*k(n). What is the derivative of h(u) wrt u?\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-9)*3\/4)\/(539\/462)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 2*z**2 + 2*z**3)*(-2*z + 2*z - 18*z) - 121924 + 41*z**3 + 121924 - 5*z**4.\nAnswer: -41*z**4 + 41*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (259\/(-14) + 18)*(0 + 0). Let p(y) be the second derivative of 0*y**2 + 1\/6*y**6 + v + 0*y**5 - y + 0*y**3 - 5\/12*y**4. Let p(c) = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-9) + (9 - (-564)\/(-36)) + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-4) + -3 + 0. What is the first derivative of 3*p - 3*p - 8 + q*p + 2*p wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/579831513 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -1607*w**2 - 6*w - 3. Let l(q) = 537*q**2 + 2*q + 1. Determine 11*l(r) + 4*o(r).\nAnswer: -521*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -158198.\nAnswer: -949188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 9*u - 3*z + 12, 2*z - 6 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/6 + 47\/(-94))\/((-2)\/(-17)).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a + 25. Let s be j(-10). Let m(r) = -r**3 + 4*r**2 + 6*r. Let v be m(s). Solve 4*g - v*f + 8 = 0, g - f - 4 = 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 30. Which is smaller: 11 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 12 + -17 + -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 1. Let h be p(-5). Let r be (-4)\/2 + h + -1. Suppose -r*t + 19 = -11. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -333788 (base 9) in base 15?\nAnswer: -3e25e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1003892 or 5019456\/5?\nAnswer: 1003892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-375)\/10)*-333)\/(-1*(-52)\/(-130))?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38.7 - -38.2. Suppose 1 = 2*p + 5. Let d be 2 + p - 8\/(-104). Sort 2, -5, f, d in descending order.\nAnswer: 2, d, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 23372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -35, -79, -149, -245?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 - 44*b**2 + 11*b**2 to the form k + h*b**2 + n*b and give h.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2227456 (base 8) to base 2.\nAnswer: -10010010111100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/(-20)*2*1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxvx when four letters picked without replacement from xxxxvxv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*b = 554 + 1133 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1178044 and 76\/36224853.\nAnswer: 144899412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33131932.\nAnswer: 2, 31, 267193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**4\/2 + 180*k**3 - 6175*k**2\/2 - 6705*k - 3440 = 0.\nAnswer: -86, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 3*i + 0*i)*(-i**4 + 3*i**4 - 3*i**4) - i**4 - 14*i**5 + 13*i**5 + 4*i**5 + (4*i + 2*i**2 - 4*i)*(0 + 0 - i**3).\nAnswer: -3*i**5 - i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.59 - -11.09. What is the biggest value in m, 118, 0?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 67*n**2 + 70*n - 134. Let d be f(68). Solve 0*q + 4\/5*q**4 + 0 + 8\/5*q**3 + 4\/5*q**d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405216 (base 7) to base 16.\nAnswer: 10dbe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shsnoshhrsssq. Give prob of picking 2 h.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 - 4*u**2 + 4*u**2 + (-6*u**3 - 2*u**3 - 5*u**3)*(1 + 0 - 2) + 0 + 0 - u**3 in the form k*u**3 + f + l*u**2 + h*u and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68405 and 41043.\nAnswer: 205215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/(-28) + (-2)\/2\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 + 5*h**4 - 5*h**4 + (2*h + 1 - 1)*(-3*h**3 - h**3 + 2*h**3) - 4*h**4 + 5*h**4 - 2*h**4)*(-3*h - 2128 + 24*h + 2132).\nAnswer: -63*h**5 - 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1038, -2085, -3156, -4263, -5418, -6633?\nAnswer: -7920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 22. Suppose -6 = -6*p + y. Suppose 0 = p*d - 38 - 76. Does 27 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/3, -2, -3, 37?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 10505.\nAnswer: 10505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -41*d - 11. Let i be b(-9). Suppose -4*y = -3*s + i + 697, -3*y + 1797 = 5*s. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1454464, 2908936, 4363406, 5817874, 7272340?\n\"Answer: -p**2 + 1454475*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9)*q\/q**8)\/(q**20*q*q**(-10\/9)) assuming q is positive.\nAnswer: q**(-323\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j. Let x(m) be the second derivative of -5*m**4\/12 - 3*m**2 + 22*m. Give y(x(n)).\nAnswer: -5*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2121*g + 2108*g + 4823. Calculate the remainder when g is divided by 53.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5 = -n - 2*n, 4*c + 20 = 3*n. Let p be c\/(-3)*21\/(-7). Is -22\/5 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 8:38 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7298 - 7298.07186. Let a = -0.072 - l. Round a to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 99, 55, -5, -87, -197, -341?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 15*u - 3000. What is the greatest common divisor of 15 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225 = 3*g - 4*t, -33 = -g - 38*t + 42*t + 194 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 498399, 498383, 498353, 498303, 498227, 498119?\n\"Answer: -l**3 - l**2 - 6*l + 498407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 1. Let l(v) = 5*v + 7. Let o(j) = l(j) - 6*t(j). Let z(r) = 7*r - 4. Determine -6*o(p) - z(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 8*j - 35 = 3*f, 31*j + 6*f - f + 73 = 27*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 531075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 = 0, -3 + 4 = 2*w - 3*f. Let c be 8\/3 + (-4)\/6. Let l(r) = -7*r**2 + r**w + r**c. Let h(z) = z. Give l(h(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24194010\/17 or 1423176?\nAnswer: 1423176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) - 5*(0 + sqrt(1088)) - (sqrt(1088) + 1 + sqrt(1088))*5) + ((sqrt(1088) - (-1*sqrt(1088))**2) + 4 - sqrt(1088)) + 1.\nAnswer: -1088 - 112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.7662036km?\nAnswer: 766203600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 3*k**2 - 5*k - 12. Let b be y(-4). Let j = 61 - 51. Suppose c + 4*c = -x + j, c - 22 = -x. Which is smaller: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10767 and 3880.\nAnswer: 430680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27b900 (base 13) to base 15.\nAnswer: 141d1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**4\/4 + 2*t**3 + 2*t + 1. Let g be v(6). Suppose -c = -g*l + 19, -4*l - 7 + 38 = 5*c. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 31175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 5455321?\nAnswer: 1091064.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-5))\/(6\/(-42)*(-721)\/(-1648)).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*l**4 + 6*l**3 - 104*l**2 wrt l?\nAnswer: -336*l + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-180 - -151) + 10 + 0 + -5 + 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a factor of 3310065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*s + 200 = 5*i, -4*s = -2*i + 126. Which is the nearest to i? (a) -0.5 (b) 2\/7 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 1566?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 59*w**2 - 8*w - 22. Is g(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -107*g + 864. Give k(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(405)*-2)**2 - (4*-1*sqrt(540))\/sqrt(12)) + 5.\nAnswer: 12*sqrt(5) + 14585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111100 - 101?\nAnswer: 101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 114748119 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 4*g + 8. Let b be k(5). Suppose -4*j - 3*n + 25 = -b*j, -28 = -j - 4*n. Solve 0*h - j = -4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 23. Let m be t(-5). Solve 0 = -m*x - 2*x - 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**5\/4 + 11*u**4\/2 + 67*u**3\/4 - 30*u**2 + 9*u = 0 for u.\nAnswer: -3, 0, 2\/5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(425) + sqrt(425) + sqrt(425) + -1 + -2)**2 - (-5 + sqrt(425) + (1*(sqrt(425) + -3))**2).\nAnswer: -15765 + 385*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1874*r - 7*r**2 - r**3 + 848*r + 432*r.\nAnswer: -r**3 - 7*r**2 + 3154*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 - 11. Let i = g + -58.062. Let r = i + 0.06. What is r rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*(((2 + sqrt(847) + -1 + sqrt(847))**2 - (-2*1*sqrt(847))**2) + -3 + sqrt(847) + (sqrt(847) + -2*sqrt(847) + 2)**2).\nAnswer: -846 - 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 610327777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30, -88, -148, -210, -274, -340, -408?\n\"Answer: -m**2 - 55*m + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25695?\nAnswer: 3, 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**3 - 2*l**2 + 2*l**3 + 2*l**2.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (74\/(2442\/(-363)))\/(33\/(-279))\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 6. Let n(a) = -2*a**2 + 2 - 7*a + 3*a**2 - j*a**2. List the prime factors of n(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.8437455 - 0.056257. Let n = -4.9 - q. What is n rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*t - 6*o, -t = o. Solve t*s - 4 = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*l - 68 - 108 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14202127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -6. Suppose -3 + 2 = -d. Let o(z) = -6 + 2*z**3 - z**3 + d. What is o(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89.4 + -99. Let k = 155592 + -155601.6041. Let a = f - k. What is a rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3068 = -37*g - 3031. Let w(x) be the second derivative of 9*x**5\/20 - x**2\/2 - x. Determine w(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000555520041 rounded to six decimal places?\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 138\/314*7\/4. Let u = g + -3\/157. Calculate the common denominator of u and (16\/(-76))\/4*-21.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9510.5691 and -0.3.\nAnswer: -2853.17073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2 + sqrt(2))*-3 + 4) + (((sqrt(96)*2)\/sqrt(4))\/sqrt(12)*1)**2.\nAnswer: -2 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -925, -5, 1\/3, 5, -3\/7, -0.2, 1\/354?\nAnswer: 1\/354","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 2465.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -0.25, 36, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16273.\nAnswer: 16273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15931, -33384, -50825, -68248, -85647, -103016, -120349, -137640?\nAnswer: -154883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 6*z**2 + 8*z - 3. Let i be j(5). Calculate the common denominator of (-1)\/3 + 154\/48 and 1\/(-2) - (-91)\/i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166220, 332465, 498710, 664955, 831200?\nAnswer: 997445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -599009870, -599009869, -599009868, -599009867, -599009866, -599009865?\nAnswer: -599009864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*o + 4368 = 4355, -5*o + 35 = 5*d - 0*o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 - z**2 + 2*z - z**2 - 3*z**4 + 0*z**2 - 4*z in the form d*z**4 + a*z**3 + j + s*z**2 + t*z and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2231 or -15607\/7?\nAnswer: -2231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -18*f + 33. Let d(n) = -6*n**3 + 3*n - 2. Let l be d(1). List the prime factors of k(l).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -156*n - 359. Let w(k) = -335*k - 719. Let s(m) = -6*w(m) + 13*z(m). What is s(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4465347 by 4.\nAnswer: 4465347\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r + 25*r - 44 = 0. Let i be (r\/(-8) - 6)\/(1\/133800). Round i to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 8*j**2 - j - 2. Let f be a(-8). Let m = 11 - f. Solve -n = -m*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 8*i - 172 = 0, 316143*u = 316138*u - i - 35 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11460937.\nAnswer: 11460937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487823 is divided by 23229.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 + 4*a**3 + 2*a - 3*a**3 + a**2 - 2*a**2.\nAnswer: a*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 15) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39.6 - -34. Let a = 5.59973 + v. What is a rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 0 = 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4*((-68)\/40)\/(-17)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-54)\/7*(-7)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93756, -750070, -2531480, -6000522, -11719732, -20251646?\nAnswer: -32158800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q - 11. Let v(s) = -23*s**2 - 11*s + 11. Let o(r) = 2*r**2 + r - 1. Let k(d) = 22*o(d) + 2*v(d). What is k(x(f))?\nAnswer: -98*f**2 + 308*f - 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 7:28 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1644*r + 8188. What is m(5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7*p - 101. What is j(-17)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 314195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75.47 + -158.18. Let i = h + 1.71. Let j = i + 86.1. What is j rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 35*r**2 + 34*r + 205. What is the remainder when w(41) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -37*t. Which is the biggest value? (a) 0.2 (b) -2\/67 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.9, 2\/7, -4, 4.\nAnswer: -4, 2\/7, 3.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/5 + 28*u**2\/5 + 98*u\/5 + 68\/5.\nAnswer: -2*(u - 17)*(u + 1)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 674, 2208, 4142, 6476?\n\"Answer: 200*w**2 + 934*w - 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0)*(0 - 3 + 4)*(-41 + 14*n + 86 - 42) as r + i*n and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4309\/120 + -413\/15. What is the common denominator of 4\/15 and s?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 3*f**2 - 66*f + 36. Let a be w(11). Let t be 2 - (-2)\/(-2) - 23*-12. Which is smaller: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192154, -191817, -191480, -191143, -190806?\nAnswer: -190469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.3. Let s be -1*5\/(-3) - 2. Which is greater: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5188*q**4 - 5 + 2 + q - q**3 + 0 - 5240*q**4 + 0 - q**2 as r*q**4 + s*q**3 + j + m*q + k*q**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -164bb768?\nAnswer: 164bb764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 times 0.371?\nAnswer: -0.05936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 5*v**2 - 5*v**2)*(5 + 2 - 37681*v**2 + 37789*v**2)*(1 + 1 + 0).\nAnswer: -432*v**5 - 28*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 - -1.01. Let z = -1.5 + p. What is the closest to -2 in z, 1, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - r = 5, 23*r - 28*r + 81 = 2*u for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 6*o - 8. Let m be h(8). Let b be 1334\/m - (-1)\/4. Suppose 97 = 3*y - b. Calculate the highest common factor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 149*o + 1558. Calculate p(-11).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -22. Let c = -21 - -21.3. What is the nearest to -2\/7 in c, -5, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**4 + 2*i**4 - 4*i**4 - 7*i**2 wrt i?\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 44 - 34. Let q(z) be the second derivative of 0 + 5\/9*z**3 + 1\/30*z**y + 2*z - 2\/3*z**2 - 2\/9*z**4. Solve q(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 k, and 1 b when four letters picked without replacement from {i: 1, a: 1, b: 2, k: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**3 + 195*f**2 + 1555*f - 1755 = 0. Calculate f.\nAnswer: -27, -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 6*r**2 + 6*r. Let u = 1 + -5. Calculate f(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11571, -11570, -11569, -11568, -11567, -11566?\n\"Answer: g - 11572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/(4\/2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14 + 392?\nAnswer: 37c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01531 + -28.01531. What is the third biggest value in -11, n, 2\/17?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -30046, 2 in ascending order.\nAnswer: -30046, -13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -236.6 + 244.6. Sort q, -0.3, -2, -6 in ascending order.\nAnswer: -6, -2, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 10*q + 9. Let a be l(-10). What is the highest common divisor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 7*v**2 + 27*v**5 - v**2 + 60*v**4 + 41*v**3 - 2*v**3 = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 16, 2\/11, -170?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) -2\/17 (c) 1809.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 14) to base 2\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n**2*s**4 + n**2*s + 160*n*s**4 + 304*s wrt s?\nAnswer: 36*n**2*s**2 + 1920*n*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2144 and 13472?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 431.7 - 432. Let x = -28 - -7. What is the second smallest value in x, j, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 32 + 2 = 0. Solve 6*z - 2*z - v = 2*l, 3*z = -l + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 8580a?\nAnswer: -85813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1271.\nAnswer: 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344*t - 90655 = -111295 for t.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 12, n: 3}. Give prob of sequence nntn.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (3 + (0 - 5) + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.2 at least -254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**2\/2 - 2*v - 1. Let w be r(7). Suppose -4*a + 3 + w = 0. Solve -3*k = -5*b, 2*k = -b + 15 - a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -348 by -87.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**4\/66 - 4*l**3\/33 - 5*l**2\/11 - 24*l. Factor v(j).\nAnswer: 2*(j - 5)*(j + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8286, 16551, 24816?\nAnswer: 33081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*x**3 + 43*x**3 - 120*x**3 + 27*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2802 - i**2 + 114*i - 268*i - 3127.\nAnswer: -(i + 77)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from dqmppmmppmpmmuqduqk?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33020.01ml to litres.\nAnswer: 33.02001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28519, 9, 3 in increasing order.\nAnswer: 3, 9, 28519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from oataocattoyaacc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -28730 (base 9) to base 4\nAnswer: -10301130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1295388\/102 + 2\/17. What is y rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2 + (-5)\/(-5)). What is the hundreds digit of (r - 706\/(-6)) + (-2)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 54 = -l - 205, 0 = -4*m + 2*l + 258. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**3 - 16*f**2 + 11*f + 89. Let i be y(-8). Factor 1\/4*q**2 + i - 5\/4*q.\nAnswer: (q - 4)*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40379141 a multiple of 1176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*n, -n = 2*m + 3*m - 50956. Suppose 2859 = 3*g - m. Suppose -4*z + 2*a = -g, z + 0*a = 3*a + 1090. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 144720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 2:39 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 6*n**2 + 26*n + 28. Let v be l(-8). Let g be v\/78*(-6)\/28. Which is the smallest value? (a) 3 (b) g (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -273, -383, -463, -501?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.43 - 2.43. Which is the nearest to -0.1? (a) -4 (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 821\/33 + -67\/3. Find the common denominator of 97\/4 and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**2\/2 - 5. Let v(l) = -3*l. Give d(v(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 9 - 51 - 436*r**2 + 16 + 17 in the form p*r + d + k*r**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5\/7)\/n)\/n**28)\/(n**(-2\/11))**12 assuming n is positive.\nAnswer: n**(-2120\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -102 + 134. Let g = -34 + q. Let n = 1.2 - -2.8. Which is the nearest to n? (a) 0.2 (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11611.7986 and 488.265.\nAnswer: -11123.5336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 2*d + 0*d + (0*d + 2*d - 4*d)*(-2 - 2 + 5) - 1 + 1 - 2*d + 4 - 2*d - 4 - d - 3*d + 6*d)*(26*d - 4*d + 14*d)*(3 + 5 - 5).\nAnswer: -216*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17861.625 months to centuries.\nAnswer: 14.8846875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3452.163 times -0.05\nAnswer: 172.60815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -2, 0.024?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02 + -2.98. Let r = -37.948 + -0.052. Let h = r + 37.7. Which is the biggest value? (a) l (b) -1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, -1 in ascending order.\nAnswer: -9, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-18\/7)))**(-25) assuming s is positive.\nAnswer: s**(-450\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -12*t - 16. Let w be b(-2). Suppose -w*j + 6*j + 278 = 0. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v**3 + 35*v**2 - 5*v - 30. Determine t(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 118097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -19858.\nAnswer: 2\/9929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*n - 126 = n, 4*n - 159 = -5*j. Let p be (36\/8)\/(1\/6). Suppose 17 = 4*s - p. What is the least common multiple of s and j?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen fifths of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 17*s**3 - 2*s**2 - s - 8. Give i(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14469 and 2912.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**7\/105 - i**4\/24 + i**2\/2 + i. Let v(p) be the first derivative of h(p). What is the second derivative of v(n) wrt n?\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 38?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**4\/4 - 2*k**3\/3 - 3*k**2\/2 - 4*k - 96. Determine m(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 3 - 3 + 3*o - 2*o + 0*o + (-2*o + 4*o + 0*o)*(2 - 5 + 1) + (0*o - 5*o + 3*o)*(-1 + 4 - 2))*(-18 + 18 + 8*o**4).\nAnswer: -48*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 24*c. Let f(j) = 1339*j + 23. Let y(r) = -341*r - 6. Let x(v) = 6*f(v) + 23*y(v). Give x(u(m)).\nAnswer: 4584*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -32*b + 45. What is g(-4)?\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 + -4. Let t = q - 24. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1949462974.\nAnswer: 2, 353, 2761279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/(-44 + -7) + (-10)\/(-6))*(-15 + 0).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -7 + 5 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 76 + 14. Suppose -w + 3*n = -8, 5*w - 3*n - h = 2*n. Solve -3*b + 1 = -w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009553903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1054, -1007, -930, -823, -686?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**3 - 1. Let c be f(-1). Find the common denominator of -182*c\/48 + 1 and 133\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n**3 + 6*n**2 - 8*n - 8. Determine y(-4).\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 4879*n - 3735528.\nAnswer: -(n - 3928)*(n - 951)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13 + (-6)\/3)*-1. Let f(t) = t**3 - 16*t**2 + 13*t + 35. Let j be f(m). Let s = -38 + 38.3. Put j, s, 12 in descending order.\nAnswer: 12, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -15 - (-23 - -33)) + -13\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, z: 7, x: 3}. Give prob of sequence wwxx.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**7\/280 - s**5\/40 - s**3 - 8. Let d(u) be the third derivative of c(u). Factor d(m).\nAnswer: 3*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 12) in base 10?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -393*l**2 + 49. Let y(m) = 132*m**2 - 17. What is -6*j(a) - 17*y(a)?\nAnswer: 114*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5600 and 544950?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -5\/163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-8302)\/8)\/((-166)\/664)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 11:47 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*h + 75, -2*c + 4*h = 3*c - 78. What is the remainder when 53 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 11*u - 114 = 0. What are the prime factors of u?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -17. What is the nearest to l in -2, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 15 = -5*l, -4*l - 5*u = -4*u + 5. Are -2\/179 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -544, -1, 5, -214 in increasing order.\nAnswer: -544, -214, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**6\/1020 - 7*f**5\/510 - 2*f**4\/51 + 16*f**3\/51 - 60*f**2 + 1. Factor h(n).\nAnswer: -2*(n - 1)*(n + 4)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (13 + (-150)\/12)*-4. What is the nearest to 0.2 in -0.4, 9, 13, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*k = -411*k - 2*y - 16, 5*y + 4 = -3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - l - l = 137205, -109777 = -4*n - l. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, d: 4}. What is prob of sequence mm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29257 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2130 by -5.\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/1 - (63 - 669). Is 616 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - u - 2. Let l be k(-2). Let o(s) be the first derivative of s**2 + 3*s + 160. Let n(f) = -f - 2. Calculate l*o(i) + 5*n(i).\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - -2)\/(-4) + -1. Sort -1, -37, z.\nAnswer: -37, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/(57 + -5) + (-2027)\/(-4). Calculate the highest common factor of n and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 123 + 542 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 74989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 5605436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 155350 and 1534?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2156043945 is divided by 762?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1346241999 * 0.1\nAnswer: 134624199.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22437089 to the power of 1\/3, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1556 + -1721. What is the nearest to 0 in -0.4, 0.5, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = -23*f - 16*f + 405552. Does 71 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31992742 divided by 3\nAnswer: 31992742\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(-10))\/((2 - 2) + -1). Which is the smallest value? (a) 1\/3 (b) -53 (c) o (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -192*d**4 + 3*d**3 + 6*d**2 + 32 wrt d?\nAnswer: -4608*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1132371 = -9*y + 1399329. Round y to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**4\/4 + 17*n**3\/6 + 117*n**2 - 1. Give d(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249*p - 257*p + 1245*p - 249*p - 243*p - 254*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1495 and 503425.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + -85. Let m = s - -156. What are the prime factors of m?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22956, 22958, 22960, 22962?\nAnswer: 22964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-5))\/((-203)\/(-145))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -11*m - 9. Suppose 4*y - y + 18 = 0. Does 20 divide s(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19179 is divided by 6245?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 17*i - 152 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + ((9975\/(-420))\/(5\/(-2)))\/((-1)\/6).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189216448 to the power of 1\/2, to the nearest integer?\nAnswer: 13756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/5, 1.8, 0.07, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4615*s + 525806 = 591*s for s.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 257.4401 milligrams in nanograms?\nAnswer: 257440100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48543360*t - 78350766.\nAnswer: 48543360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 8:05 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 414 and 1708279?\nAnswer: 30749022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -9. Suppose -r + 5 = -5*d, 2*d - 7 = 4*r + 9. Let h be (8\/5)\/(4 + 108\/(-30)). Put h, d, t in ascending order.\nAnswer: d, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -183\/5 + 36. Let j = -20 - -31. Suppose l + j = 9. Which is greater: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 13, 109, -435, -15.1?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1613460 to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = -3*c, 3*n + c - 8 + 4 = 0. Let h be (17\/(-4))\/(n\/(-4)). Round h to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 2*l - 21 - 25, 0 = i + 2*l + 23. Let b be (-64)\/112 + i\/(-28). What is the closest to 1\/2 in 0.06, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v - 175. Let i be p(0). Let k = 285 + i. What are the prime factors of k?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 4. Let z be ((-4)\/3)\/(((-8)\/42)\/(-2)). Give b(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-13 + 32 - 15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, n: 5, f: 6, y: 1}. What is prob of sequence fvvn?\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -46.0000043. Round h to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 1.27, 3, 2\/7, -218?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 176, 269, 388?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(7\/(-2 + 9)) + 619. Calculate the greatest common divisor of g and 528.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*z - 187 = 0, -2*y + 3*z - 22 + 153 = 0. Suppose -y = -n - 24. What is the remainder when n is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*k + 2*k - 15*k)*(-6*k + 3*k - 4*k)*(-1 - 3 + 3).\nAnswer: -343*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = -12*w + 47. Let p = w - -10. Suppose -2*x = -p*x - 306. List the prime factors of x.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*s + 4*k, 2*k = -s - 270 + 290 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 135 + 3\/((-3)\/(-4)) + 0. Let v = 1048 + k. What is the second derivative of v - 1187 + 31*x - 14*x**4 wrt x?\nAnswer: -168*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-86)\/(-301))\/((-36)\/21)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (234\/(-14))\/(-335 + 343) and 11\/4820.\nAnswer: 67480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5110*f + 56085. Calculate q(-11).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = -l + 3*l. Suppose -z = -2*f - 28, l = 2*z + f + 3*f - 64. Solve 4*t - z = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, c: 7, x: 6}. Give prob of picking 1 c and 2 x.\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/12)\/((-2)\/12). Let x(t) = 4*t - t**o + 2*t**2 + 12 - 3. Is x(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0201 - -0.0939. What is k rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(46\/230 + 102\/(-10))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 920, 921, 922, 923, 924, 925?\nAnswer: 926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61815.95 milliseconds to seconds.\nAnswer: 61.81595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 189.491 micrograms?\nAnswer: 189491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 62 = -x, 110*x + b - 190 = 105*x. What is the remainder when x is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -63994\/1301, -1\/2, 0.2?\nAnswer: -63994\/1301","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/887391 and 58\/129.\nAnswer: 887391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a - 24. Calculate x(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f + 1. Let u be x(-1). Is u at most as big as -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75769547.\nAnswer: 7, 29, 73, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.34 + -0.34. Put -4, -3\/7, n in descending order.\nAnswer: n, -3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-9)\/12)\/(6\/92)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -5. Let u(t) = -t + t**2 + 15 - 14 - 2. Let w be u(y). Solve 2*s + 5 = b - 10, 30 = b - w*s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*g + 6, -g + 0 - 11 = -5*s. Calculate the remainder when 15\/10*-2 + 57 is divided by s\/(-4) - (-29)\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/42 and 107\/12354.\nAnswer: 86478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 0 + 4. Suppose -b - 2*m = 0, 3*b - 2*m = -2*b - 24. Suppose 4*k + g = -24, 13 = -5*k + 2*g + g. Sort b, j, k in descending order.\nAnswer: j, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 632*d**3 + 629*d**3 + 658*d**3 - 1905*d**3.\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24301483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4162\/5 - -37808\/45. Suppose 11*g - 20 = 16*g. What is the common denominator of k and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abp when three letters picked without replacement from {b: 1, a: 2, n: 4, p: 10}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 21 + 22*z**3 - 10*z**3 + 61*z**3.\nAnswer: 73*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {d: 1, y: 2, k: 4, x: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 + 21*h**2 + 11*h + 19. Let s be r(-9). Let a = s + -488\/3. Find g such that a*g**2 - 1\/3*g - 1\/3 + 1\/3*g**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*s - 10*s. Suppose s*h = -7*h. Suppose h = -n + 1, c + 2*c + 5*n = 17. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1035042\/648179 - -3\/41818. What is the common denominator of j and -1\/248?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 3228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**4 - 36*d + 824*d**3 + 10*d - 9*d + d**2 - 819*d**3 wrt d.\nAnswer: 120*d + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -129443 or -1294443\/10?\nAnswer: -129443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13093552 or 13093551?\nAnswer: 13093552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 40*u + 38*u = -81, 5*u - 99 = -r. Solve 4*f + r*q = 64*q + 20, 0 = 4*f + 3*q - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 4*f + 36, 7*d + 4 = 3*d + 5*f. Suppose d*y - 2 = 2*u, 1 + 50 = 5*u + 4*y. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 15 = -5*r, f + 6 = 2*f + 2*r. Solve 9 = 3*z - f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -78, -125, -172, -219?\n\"Answer: -47*q - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.016, 0.15, 5, -21\/61?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + ((sqrt(931) - -1*sqrt(931)) + 5)**2)*-1*5 + 3.\nAnswer: -18742 - 735*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-1)\/(-3))\/(16\/48)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + v**2 - 2)*((4 - 2 + 3)*(-769 + 37*v + 769) - 4*v - 2*v + v - v + v + v) as q*v**3 + i*v + l + h*v**2 and give q.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10337 + -10339. Let y = 0.1 - -0.4. Let j be 3*(-2)\/(-15)*-2. Which is the second smallest value? (a) y (b) d (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4855879 and 56.\nAnswer: 38847032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3155, 2969, 2783, 2597, 2411, 2225?\nAnswer: 2039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**6\/8 - c**4\/24 + 3*c**2. What is the second derivative of z(o) wrt o?\nAnswer: 90*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*u + 2*u**3 + 111 + 2*u**2 - 218 + 103 + (3*u**2 - 14*u**2 - u**2)*(u + 2*u - 5*u) to v + h*u**2 + r*u**3 + a*u and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*s - 233100015, -2*s + 89313154 = 2*z - 66086852. Round z to the nearest 1000000.\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 8742.\nAnswer: 26226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 135*t + 7115. What is v(-54)?\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(-6))*t)\/t*t\/t**(4\/9)*t*t*t**(2\/45)\/t*t*t*t\/t**(-2\/5)*t)**(2\/9) assuming t is positive.\nAnswer: t**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 488 (base 15) to base 2\nAnswer: 10000000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.918 - 0.2921839?\nAnswer: 1.6258161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 2 (b) -2\/3 (c) -3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/20629 and 26\/5999?\nAnswer: 17679053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*d**3*r**2*v**2 + 5*d**3*v + 32*r**2*v**2 - 25*v**2 wrt r.\nAnswer: 6*d**3*r*v**2 + 64*r*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9219914, 9219910, 9219906, 9219902, 9219898?\n\"Answer: -4*i + 9219918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = -14 - 14. Let u(b) be the first derivative of b**3 + 3 + 0*b - 3\/2*b**p. Factor u(o).\nAnswer: 3*o*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 + -31. Suppose -3*t = v*s - 4*s - 41, 0 = 4*t - 3*s - 55. What is the highest common divisor of t and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 4:59 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71\/28 + 16\/7. Let g = 14.9 - 19.9. Which is the nearest to p? (a) 2\/3 (b) g (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2357335306 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(15\/2)*z)\/z*z*z*z*z\/z**(-1\/25)*z**15\/(z**(-3\/10)*z) assuming z is positive.\nAnswer: z**(646\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1306 + 8\/6*3. Suppose 0*n = -2*n + i. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -t + 22, 4*b + 75*t - 16 = 71*t for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3 = c + 2, -c = 4*m. Let p be (c\/(-8))\/(-1 - 1). Which is smaller: p or 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -924507*q**3 + 840349*q**2 wrt q?\nAnswer: -5547042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -3 + (-2 - -6). Suppose 20 = -k + u*g, 4*g = k - 2*k + 16. Let y(j) = -2*j**2 + 3*j + 100. What are the prime factors of y(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 20 = -11*h + 9*h, 5*h - 5*p + 35 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2986.4 + -2986. What is the biggest value in 6\/35, -0.6, 2\/13, -1\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2455*d + 15737 = 79567 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-53238)\/(-97603)*(-352)\/(-6)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**2*z**2 + 106*j**2*z + 432*j*z**3 + 356*z**3 + 1295*z wrt z.\nAnswer: 4*j**2 + 2592*j*z + 2136*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -1\/30*a**6 + 0 + 0*a + 0*a**4 - 13*a**2 + 0*a**3 - 1\/84*a**8 + 0*a**5 + 4\/105*a**7. Factor c(x).\nAnswer: -4*x**3*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57*u - 41*u - 401*u + (-3*u + 2*u + 2*u)*(-3 + 2 - 1).\nAnswer: -387*u","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from iiiissii?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 392555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d - 3*d + 5*d)*(5*d**2 - 6*d**2 - 16*d**2) + 4*d**3 - 5*d**3 + 0*d**3 + (0 + 0 + 2*d**2)*(0 + d + 0).\nAnswer: 52*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -1\/2, -742, 1\/76, 1\/7.\nAnswer: -742, -2, -1\/2, 0, 1\/76, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2835 - -5941. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 25 - 24)*(1 + 2*j - 1) + (-1 + 0 - 3)*(0*j - 5*j + 4*j) + 18 - 18 + 2*j to the form y + p*j and give p.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -28 - (-1 + (-11 - -21 - 3))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - m**2 + m. Let h(j) = 2*j**3 - 11*j**2 + 3*j - 16. Let o(t) = -h(t) + 3*w(t). List the prime factors of o(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37 and 333?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*j - 28 = 0, m - 2*j + 10 = -2*m. Let w be -2 + m\/(-2) + 13. Let v be (-1)\/3 + 66\/9. Calculate the highest common divisor of v and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 225357 and 307305?\nAnswer: 3380355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from qqaqquaaaqqaiaqqqui?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*(-6)\/(72\/(-15)). Suppose -2*l = 2*r - 3*l - 7, 4*l - 37 = -g*r. Suppose -4*s = -r*h + 4, -1 = -2*h + s + 3. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 4*v - 12, 162*a = -262*v + 261*v + 750 - 103 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*u = -49*u - 15126. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431357362 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 23) + (-9 + 5 - -7 - -7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, j: 3, a: 5}. What is prob of picking 1 a, 2 l, and 1 j?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -24, 5, 2 in descending order.\nAnswer: 5, 2, 1, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 6*v + 10. Calculate i(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 418, 358, 296, 232?\n\"Answer: -q**2 - 57*q + 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (25 + -43 + -81 - -26)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.06+-6530496.5\nAnswer: -6530496.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 12 = -8. Suppose w + 10 = 5*l. Solve -v + 13 = -4*y, 0 + l = 2*y - 4*v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -50, -78?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 10201*f**4\/3 - 404*f**3\/3 + 2*f**2 + f + 1. Suppose m(v) = 0. What is v?\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6) - 33\/9. Let v = 123541\/7 - 17649. Which is the nearest to v? (a) j (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 12 (b) -4 (c) -16\/31 (d) 5 (e) 2 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -2*v - 0*v. Let z = -17 - v. Let h be -3*(62\/(-155))\/((-6)\/(-35)). Solve h*r = 9*r + z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+22171.7\nAnswer: 22171.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 2*q**2 + 5*q - 7*q**2 - 3 - 4*q in the form j*q**2 + c + s*q and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3794 + 3841. Suppose 2*k + s = 2*s + 274, -558 = -4*k - 3*s. Calculate the remainder when k is divided by y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*sqrt(192) + -2)**2.\nAnswer: -128*sqrt(3) + 3076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2810 - 2810 + 2*g. Let a(s) = 2*s - 2. Let i be a(2). Let v(p) = -4*p**i - 8*p**2 + p**2. Calculate l(v(j)).\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 28*s + 98. What is m(8)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/37)\/m*m*m\/(m*m**(1\/7))*m*((m\/m**(1\/2))\/m)\/m*m\/((m*m*m**(1\/6))\/m*m*m) assuming m is positive.\nAnswer: m**(-2225\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3268253 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4085)\/(-860))\/(-3*(-2)\/24).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24, 42, 76, 132, 216, 334, 492?\n\"Answer: k**3 + 2*k**2 + 5*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*a = 94*a + 60. Let m = 33 + -12. Let y = a + m. Solve -2*g - g = -y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -449.302 + 450. Let v = m + 0.302. Which is the smallest value? (a) 2\/11 (b) 7 (c) v (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 + 277*g + 1852. What is f(-85)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from {r: 1, d: 3, e: 3, j: 8, w: 1, c: 2}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {e: 4, d: 4, t: 7}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v**2 + 5*v - 1. Let r(y) = 9*y**2 - 9*y + 3. Let n be (-1)\/(-5) - 153\/(-85). Suppose u = 5*t + 22, -t = -n*u - 10 + 18. Calculate t*r(k) - 7*b(k).\nAnswer: -k**2 + k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 109 + -90 - (98 + 5).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + 119. Suppose -2552 = k*j - 178*j. What are the prime factors of j?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) 0.3 (c) 278\/7 (d) -5 (e) 3\/8 (f) 0.057\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 5:53 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95350 divided by 19070.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 2 - (16 - 21)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-198)\/(-891) + 14\/18. Let w be 78\/(-21) - -4 - (-33)\/(-112). Is w at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2414936 is divided by 73.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 196602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5169 = -96*w - 8*w + 9391. What is the highest common factor of w and 5404?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-10) - -58*(-1)\/(-10). Solve -3*u + h*u = -8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 114005*b**2\/3 + 3020*b\/3 + 20\/3.\nAnswer: 5*(151*b + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -83228, -166460, -249658, -332792, -415832?\n\"Answer: 5*h**3 - 13*h**2 - 83228*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335637*b - 335947*b + 13950 = 0 for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -286 in 3, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*j - 136 = -2*r, -3*r = 3*j - 222. Let m be 132\/(-1122) - (-155)\/17. Calculate the greatest common divisor of m and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4107975 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 293 = 5*n, 3*n - 4*s + 55 = 4*n. Let q(p) = 17 - 6*p - p**2 - n + 20 + 12. Calculate q(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2448 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2099814 divided by 6?\nAnswer: -349969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.05 (b) 1\/3 (c) 2\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 82.\nAnswer: -5\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36623317582 - 36623696703.000075. Let r = v - -379127. Let u = r + -6. Round u to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 226512 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*z**5 + 26*z**4 + 6*z**2 + 44*z**2 - 26*z**4 + 10*z**3 wrt z?\nAnswer: 120*z**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 9*r - 6*r)*(2*r**3 - 3*r**3 + 0*r**3).\nAnswer: 14*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -451 - -455.03. Let w = v + -0.03. Let g = -3.03 + 1.03. Put -0.2, g, w in descending order.\nAnswer: w, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**4 - 4*v**4 + v**4 + 33*v**4 - 7*v**4 - 6*v**4 + (v - 3*v + 4*v)*(-3*v**2 + 2*v**3 + 3*v**2).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + -24. Calculate the highest common factor of 39 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 101310427 and 35438?\nAnswer: 2634071102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-11) - (-188)\/(181984\/75064)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23 (b) -1 (c) 0.108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + -0.3. Let n(s) = -s**3 + 5*s**2 - 7*s + 5. Let r be n(4). Let k = r - -6. Put -0.2, k, l in decreasing order.\nAnswer: l, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*v = j - 177*v - 351, j - 2*v - 360 = 0. Calculate the least common multiple of 84 and j.\nAnswer: 5124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -0*y - 2*y + 17, -2 = -2*j - 2*y. Suppose 4*h - 1030 = -j*c, 3*c - 618 = 4*h - 2*h. What is the units digit of 1\/(((-8)\/c)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161475413.\nAnswer: 11, 257, 57119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6901484 and 801933?\nAnswer: 227748972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/15*10\/(-40))\/1*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1215) - -3*sqrt(1215) - -1*(sqrt(60)\/sqrt(4) - sqrt(15)))\/(-6*(sqrt(72)\/sqrt(8) + sqrt(9))\/sqrt(3)).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**3\/5 - 6502*a**2\/5 - 91632*a = 0.\nAnswer: -69, 0, 3320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-9)*-1*180\/(-48)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/15)\/(1\/(-15)). Suppose -a*g - 5*q = -55, 5*g = 2*g - 2*q + 33. Suppose -3*w + g = -13. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 21 = 2*r - 3*t, -5*r + 2*t = -42. Let h be ((-10)\/6 + -1)*-21. What is the highest common divisor of r and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 16*l - 475. Determine g(30).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1273594 (base 11) in base 7?\nAnswer: -24464322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, f: 3}. Give prob of picking 4 p.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -5109212, 3, 1, 2 in ascending order.\nAnswer: -5109212, -5, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -15, -11, 0, 4 in descending order.\nAnswer: 17, 4, 0, -11, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6\/u**(-1\/8))\/(u*u**(5\/4)*u\/u**7) assuming u is positive.\nAnswer: u**(79\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**4\/4 + 4*n**3 - 6*n**2 + 5*n - 2. Let p be o(11). What are the prime factors of ((-177)\/p)\/((-3)\/(-6))?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3346478549 to the nearest integer?\nAnswer: 1496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(13\/4)*f*f*f**(1\/25)*(f**2\/f)\/f*f**(-1\/5))**17 assuming f is positive.\nAnswer: f**(8653\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1501014 is divided by 561.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.638 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + i = 6, -2*p - 5 + 7 = 2*i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -15*o - 61. Let q be t(-26). Let a = q + -158. Is 32 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-5))\/((8 + 18 - (-14013)\/(-540))*-1)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.8123 (b) 0.2 (c) 4118 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - 4. Let l(u) = -3*u - 26. What is the units digit of l(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, o: 3}. Give prob of sequence eoee.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2117124.2 to the nearest one thousand.\nAnswer: 2117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.3 (b) -25 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290779 is divided by 145383.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 140, 180, 220, 260?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3998117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 11 = -b, -3*b = -7*b + 2*x + 26 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -16*m - 2. Suppose -2*v = -4*v - 8. List the prime factors of s(v).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12564 is divided by 697?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z*(z\/(z**2*z*z))\/z)\/z)**(4\/9))**(2\/15))**(-28))**23 assuming z is positive.\nAnswer: z**(20608\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 4*p - 4, 4*p = -5*n - 4. Suppose -4 = -g + 2. Let r be (g\/(-12))\/(n\/6). What is the second biggest value in 3, 0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48703, 48461, 48219, 47977?\nAnswer: 47735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99)\/(-462))\/(45\/21).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -39743*z. Let u(x) = 3*x. Determine o(u(d)).\nAnswer: -119229*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84916.\nAnswer: 2, 13, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4763 + -149?\nAnswer: -4912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*s + 74*s = 144*s, -5*o + 4*s + 25 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7237812, -7237821, -7237836, -7237857, -7237884, -7237917?\nAnswer: -7237956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 3*u + 1, 3*u + 23 = 2*x - 0*u. Suppose o = -o. Solve -x*g + 4 = -o*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-40)*((-10)\/6)\/((-7)\/((-3696)\/220))\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 20. Let s be 1852\/a - 4\/(-10). What is s rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*n = -3*n - 27, 4*k + n = 9. Let h(s) = 2 - s**k - 5 + 1 + 2*s**3. Suppose 0 = -3*j - 2*j + 2*b - 4, 8 = j + 4*b. What is h(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 7*o - 2 + 2. List the prime factors of w(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 4, r: 3, g: 3, t: 7}. Give prob of picking 1 r and 1 f.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(5\/(-12)) + -2. Let w be ((-3)\/(-2))\/(1\/2). Suppose -w*l - 2*l = -t. Solve -z + l = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 3*c = 0. Solve -4*w + 5*n + 33 = c, -3*w - 2*n = -3*n - 11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 3 - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*-1 + (-2)\/(2 - 4). Suppose -31 = -4*u + 9. Let l = u + a. What is the remainder when 8 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20130918 and 472?\nAnswer: 80523672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750533.\nAnswer: 7, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrccbrbrr. Give prob of picking 1 c and 3 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1. Let q(b) = -6*b - 3. Let w(x) = -3*n(x) - q(x). Let o(h) = -3*h**2. Give o(w(z)).\nAnswer: -108*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 22*s**2 + 8*s - 20. Suppose 0 = 4*k - 5*u + 69, 2*k - 4*u + 93 = -3*k. Let h be x(k). Is -1 + 1 + (h - 4) - 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 359, 1458, 3283, 5828, 9087?\nAnswer: 13054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - -7. Suppose -15*n + 1384 + 191 = 0. Suppose -n = -3*c - 4*s, -3*s - 123 = -4*c - 8. What is the greatest common factor of v and c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w - 3. Let f be n(10). Let i = f - 25. Solve i*l - 3*l = 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*c + 7 + 21 = 0, 0 = 2*l + 5*c - 55. What is the remainder when l is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 5*d - 2025, -4*b + 0*b + 1980 = -4*d. Let h = 38 + -34. Suppose h*a + 3*g - b = 0, -2*g - 3*g + 375 = 3*a. Does 25 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 29, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 23*l - 75. Suppose 18*n - 19*n - 4*m - 3 = 0, 3*m - 19 = -2*n. Determine t(n).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -877.3*-3657\nAnswer: 3208286.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i + 229. Let f(o) = 4*o + 114. Let m(l) = 11*f(l) - 6*w(l). Let t be m(0). Let y = 169 + t. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(36\/24*(-8)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 303313197 to the nearest integer?\nAnswer: 17416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 - 20*y**3 - y**3 + (1 - 1 - 2*y**2)*(2*y + 0 + 4*y + 1) + 3*y**3 - 2*y**3 - 2*y**3.\nAnswer: -35*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30.1 - 753.9. Let x = -782 - u. What is the nearest to 0.1 in -4, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/((-5)\/(-10)*2). Solve 0 = -b*x + 9 - 12 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 354, -1213?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/213 (b) 0.46 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.2, -3\/4, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x + 4. List the prime factors of q(-13).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -17*v**7\/7 - 2*v**5\/5 - 14*v**3\/3 + 3*v**2\/2 - 103. Find the third derivative of h(x) wrt x.\nAnswer: -2040*x**3 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 673 + 4798 = 5*i, -2*i - x + 2189 = 0. Which is greater: i or -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 236 = 3*g. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1351.\nAnswer: 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5\/8))**(-46)*(r**(-26))**(1\/18) assuming r is positive.\nAnswer: r**(983\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1201117.4 and -4?\nAnswer: -4804469.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-45))\/(10\/75*3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2418)\/(-1612))\/(((-51)\/42 - 2)\/((-14)\/(-49)))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from woqoiiosqoqbbwiw. Give prob of sequence wq.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -0.0193?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**2*r**14 assuming r is positive.\nAnswer: r**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/1)\/(45808\/(-2864) - -16). What is the highest common divisor of t and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5644872.\nAnswer: 2, 3, 78401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24.4 + 28. Let l = -4 + y. What is the closest to 0.1 in 0.1, l, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x + 7. Let h(t) = -t + 1. Let n(m) = -h(m) - 6*l(m). Give n(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4, 43, 122, 233?\n\"Answer: 16*t**2 - t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - h - 44 = 0. Let z(g) = -g**2 + 5*g - 29. Let o(c) = 2*c**2 - 11*c + 59. Let a(j) = -2*o(j) - 5*z(j). Is a(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23074 and 105493?\nAnswer: 29327054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -907 and -49.\nAnswer: 44443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - s + 21 = 3*b, 0 = 5*b + 4*s - 40. Let x(u) = -3326*u + 4. Let q be x(b). Round q to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2372418 to the power of 1\/2, to the nearest integer?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 298857895*k**2*r**2 - 46*k + 849074*r**2 - 2*r wrt k.\nAnswer: 597715790*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3\/12 + 42615\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -13*x**5\/12 - 25*x**4\/12 - 19*x**2 + 90*x - 2. Factor v(h).\nAnswer: -5*h*(13*h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717 is divided by 221?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjpjpjhppupj. Give prob of sequence juh.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -10, -1, 10?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230344 (base 5) to base 2.\nAnswer: 10000000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 6:14 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-20))\/(60\/12900).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2481.30681716 take away -3522?\nAnswer: 1040.69318284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 11:33 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 9. Let d = 23.3 + -23. What is the third smallest value in 4\/3, d, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2270 + 2259. Let g(a) = -a**3 - 9*a - 12*a**2 - 3*a + 1 + 1. Is g(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3200\/102711 + -2\/1533. Are c and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 111\/72 + 3\/(-2). Let j(t) be the third derivative of 0 + 0*t**3 + 0*t + t**2 - 1\/10*t**5 - q*t**4. Find the second derivative of j(g) wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2)\/((-6)\/36). Solve 5*p + m - 28 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35059434?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015548 rounded to 5 dps?\nAnswer: -0.00155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-10 + 11 - 1 - 8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 9:08 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4634 (b) 3 (c) 0.895 (d) 2 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s - 12. Let n be -3 + 3 + 0 - -1. Suppose n + s = -5*u. Is u greater than 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d = -9*d - 192. Let s(c) = -11*c - 1. Let u be s(-1). Let f = d - u. Solve -3*h - f*k = -13, 2*h + 3*k - 27 = -2*k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28856068 and 412.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**5 + 2*w**5 + 6*w**5 + w**5 + w**2 - w**2 + 2*w - 2*w - w**5 + (-2 + 0 + 0)*(w**5 - w**5 + 2*w**5) + w**5 + w**5 + 0*w**5 + 0*w**5 + w**5 + w**5.\nAnswer: 3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 183 in -2\/7, -1, -5, -331, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 817*t - 812*t - 43, 49 = o + 5*t. Let l = 6 - 1. Sort l, o, 4, 0.4 in descending order.\nAnswer: l, 4, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3911)\/(-9))\/(2\/3). Let v = -669 + h. Find the common denominator of 7\/2 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuss when four letters picked without replacement from {s: 4, u: 4, q: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 11:58 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 2 - 3, -c = -2*s + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1563 - 262?\nAnswer: -1805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from baiwabbwirci?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p = 1506*n - 1507*n + 106, -n = 4*p + 50 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26563068.8 rounded to the nearest one thousand?\nAnswer: 26563000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 7*l**2 + 2*l + 6. Let c = -340 - -344. Let g(b) = -3*b**3 + 20*b**2 + 5*b + 16. Let d(j) = c*g(j) - 11*q(j). Calculate d(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -579*s - 5. Let y be m(-1). Let u = -187 + y. Suppose 3*q - 106 = 23. What is the greatest common factor of u and q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*b**2 + 42*b**2 - 76*b**2 + 37*b**2.\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(20\/(-227)) + (-3)\/4. What is the tens digit of z\/2 + 3 + -3 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 2*o**3\/3 + 21*o**2\/2 + 8*o + 381. Determine h(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*k**3 - 12508*k**2 + 1235984 wrt k?\nAnswer: 120*k**2 - 25016*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 8*y**2 + y + 5. Let q be h(-8). Sort q, -2, 2 in ascending order.\nAnswer: q, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 3*r - 6 = 0, -5*i - r + 10 = -3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (20\/56)\/(128\/512)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/24 and 81\/305876.\nAnswer: 1835256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15031*o + 15031*o + 19*o**2.\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3300, -3298, -3296, -3294, -3292?\n\"Answer: 2*s - 3302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9*u**5 - 9*u**4 + 6*u**3 + 17*u**2 - 3*u - 7. Let d(m) = -4*m**5 - 4*m**4 + 3*m**3 + 8*m**2 - m - 3. Let x(z) = -7*d(z) + 3*g(z). Factor x(y).\nAnswer: y*(y - 2)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 338, 3, -3, -1, 4\/7 in ascending order.\nAnswer: -3, -1, 4\/7, 2, 3, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a microgram in nanograms?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -3*g**4\/2 - 2*g**3\/3 + g - 11. Let l be j(-1). Calculate the greatest common factor of 45 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n - 1. Let l(t) = -6*t**3 + 5*t - 3*t**2 - 2*t**2 + 5 - 3 + 5*t**3. Let y be l(-6). Let p(k) = -5*k + 2. Let a = -6 + 9. Determine a*p(o) + y*v(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 - -74. Let n(c) = -2*c + 17*c**3 + 1 - 22*c**3 + 4*c. Calculate the remainder when m is divided by n(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1448 - -2089. Let a = -367 + o. Let z = -167 + a. Calculate the remainder when z is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 134156012?\nAnswer: 134156017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 5:33 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 309 + -316. Which is smaller: d or 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 142 + 4?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*a + 2*i + 74, 50650 - 50660 = a + i for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*r - 3*c - 25, -90 = -5*r - 5*c. Suppose 11*o - 95 = r*o. Which is smaller: -18 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.4437495 rounded to 1 dp?\nAnswer: -17.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*y + 16. Let d be (y\/2 - 1) + -3. Factor 3*t**2 + d*t**2 - 8 - 4.\nAnswer: 3*(t - 2)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: a80 (base 14) to base 4\nAnswer: 200120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 360391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**2 - i - 2. Suppose 5*q = 8 + 2. Let n be j(q). Solve -4*k - n = -2*t, -3*k = t + 11 + 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -0.2, 57\/7, -5, 4\/7?\nAnswer: 57\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1161 and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((80\/(-600))\/((-4)\/30))\/((-2)\/(-21418))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29489?\nAnswer: 37, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -561 (base 15) to base 3\nAnswer: -1200001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/57 and 89\/8?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 11 + 5)*(-4 + 4 - 2*t)*((-1 + 2 - 3)*(2 - 1 - 3) - 6 + 2 + 1).\nAnswer: 22*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1869*h*l**2 - 1788*l**2 wrt h?\nAnswer: 1869*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 43919885 = 2*o. Let w(j) = -1091989*j + 1. Let b be w(2). Let p = o - b. Round p to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4088.3 rounded to the nearest 100?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*l - 4*h, -h + 0 = -2. Let i be -9*2\/(l - -1). Solve -3*s - 3*v + 0 + i = 0, 5*v - 11 = -4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1061 - -1071. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2715352479 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -452, -901, -1362, -1841, -2344, -2877, -3446?\n\"Answer: -k**3 - 442*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 divided by -1973?\nAnswer: -129\/1973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert c89 (base 13) to base 15.\nAnswer: 97b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.2 (b) 5 (c) -1\/6 (d) -154 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 12 = 3*z, -30 = -5*z + 2*a - 10. Find the second derivative of 170*y**4 - 137*y**z + 0*y**2 + 0*y**2 - 128*y wrt y.\nAnswer: 396*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 181 in ascending order.\nAnswer: -5, -1, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 36 = 4*a - 4*x, 4*x = -4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 49. Let f be t(5). Solve 4*a + 32 = 4*h, 19 = -5*a - f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1054880?\nAnswer: 2, 5, 19, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - -6 - (43 - 46) - (15 - 5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.4 + -16.9. What is the closest to -2 in n, -2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210583 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 4 = -r - r, -5 = 5*r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1048204 * -0.434.\nAnswer: -454920.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u + 19 = 0. Let s(b) = -2*b**2 - 20*b - 45. Let z be s(-3). Let g = z + u. Which is bigger: 17 or g?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = h - 7*h. Let n be (12\/h)\/3 + 8\/7. Let t = -74 - -77. Solve 4*z = -t*f - 1 - n, -2*z + 2 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -335497*w**3 - 319903*w**2 - 2*w - 1?\nAnswer: -2012982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -67)\/(2\/(-4)). Let p = 465 + a. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 - 2. Suppose 10*m - 114 = -44. Let u be (3\/(-6))\/(m\/8*4). Which is the smallest value? (a) -1\/4 (b) u (c) t (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51015 (base 8) to base 3\nAnswer: -1001210222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 592.9569 days in hours?\nAnswer: 14230.9656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 38\/9, -6, 0.0378, -4?\nAnswer: 0.0378","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q**(-2)*q*q)*q*q**(-3\/5)\/q*(q\/(q**(-4)\/q))\/(q**1\/q)*q*q**(-4)*q*q\/q**(-1\/4)*q**(-6)\/q*q*q**(-1\/8) assuming q is positive.\nAnswer: q**(-59\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2 = 10, -3*m + 2 = -s. Suppose -4*n = -2*y + 8, -5*n - m*y = -0*y + 10. What are the prime factors of (71 + n + -2)\/1?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26 + 4*q + 4*q**2 - 4*q + 34 wrt q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 283 = -14*w, 8*w + 5*d + 969 = 794 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l. Let a(h) = 80914404*h**2. Determine i(a(t)).\nAnswer: 404572020*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 4505655*w - 126157556.\nAnswer: -(w + 28)*(w + 4505627)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*i**6 + 17*i**5 + i**2 + 160*i.\nAnswer: -1560*i**3 + 1020*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*j = 98 - 124 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*b**3*p*r - 5348*b**3*r**3 + b**2*r**2 - b*p*r**3 + 90*b*r**2 - 2*p + 6*r**3 wrt b?\nAnswer: -126*p*r - 32088*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d - 2. Let p be s(4). Let c = 12 + p. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 1:23 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16804 + 16795. Which is the smallest value? (a) u (b) -20 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dsd when three letters picked without replacement from {d: 1, s: 11}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -169918, 1, -31 in decreasing order.\nAnswer: 1, -5, -31, -169918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-88)\/36)*2565\/190.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/17, 2, 1.2, -18\/7, 1\/4, 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**3 - n - 2*n**3 - 10*n**2 + 6 - 3*n**3. Let b be o(-10). Suppose -5*y + 6 = -4. Solve 0 = 3*m - 0*m - 2*r + y, 4*m - b = -2*r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 28 - 28 - 3*n. Suppose 3*w + 5232 = d, 0 = 4*d - w + 5*w - 20976. Let a(v) = d + v - 5241. Calculate a(o(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(64)\/sqrt(8) - sqrt(2))**2 + sqrt(2) + 1 + sqrt(8)\/sqrt(4).\nAnswer: 2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.17 - 12.17. Let t = 6 + -5.6. Which is the fourth smallest value? (a) t (b) 3\/4 (c) 3 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/3)\/((-40)\/15)*1. Let i = 5.7 + -6. What is the closest to -1 in i, y, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23225326 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8327.961 millilitres?\nAnswer: 8.327961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 5. Give v(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -48 - -4?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - ((1 - 2) + -2). Suppose -6 = -i*l + 2*l. Suppose l*c = c + 6. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 325, 652, 979?\n\"Answer: 327*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m**2 - 1629*m + 2897. Give a(324).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 980 is divided by 201.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2)*(0*h**2 + 2*h**2 - h**2) + (0*h + 0*h + h)*(103*h - 340 + 340) in the form q + m*h**2 + k*h and give m.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000581408 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1408194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 4*w - 6. Let q be x(6). Suppose 0 = 2*g + g - q. Let s be (-778 - g)*4\/6. What is s rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 2)*(-22*w + 14*w + 15*w) - 5*w + 2*w + w in the form t + r*w and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 987 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1942 is divided by 1683.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-854)\/(-1400) + 9\/(-30) + -8?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*(3*2*sqrt(171)*-6)\/((1*sqrt(81)*3)\/sqrt(9))*-3.\nAnswer: -288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/7)\/((-2)\/7). Let n = 3 - f. Solve n - 13 = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygw when three letters picked without replacement from {u: 4, g: 9, y: 3, w: 4}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irrrrrrrriirrrrrir. What is prob of sequence riir?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 10*k - 7. List the prime factors of c(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 25*w - 78. Let t be i(20). Let n be (-211)\/t + (-26)\/(-4) + 0. Let q(v) = v**2 + 5*v + 4. Let f be q(-4). Solve n + f = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 3. Suppose 0 = -4*l + 2*l - 36. Let c be h(l). What is the greatest common divisor of c and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 2)\/1 + 20\/10. Let z be 1*(-3)\/(-1) - h. Suppose 3*w - 2 = -x, 5*w + 0*w - 5*x + 10 = z. Solve -5*s + 2*p - 15 = 0, -5*p = -w*s - 4*s + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**2 - 5*b - 4. Let z be f(4). Suppose 0*p - p = -3, 5*g - 2*p - 9 = 0. Suppose -g*q = -4*q + z. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18111 = -19*b + 19661. Is 30 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5))**(-1\/3)\/((h**8*h)\/h)**(-11\/9) assuming h is positive.\nAnswer: h**(103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 4*n - 5*n - 8. Solve 2*a + 5 = t, -2*a + 4*t - 22 + n = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 144, 136, 1 in ascending order.\nAnswer: 1, 3, 136, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*b**3*z**4 - 6*b**3*z - 3055*b**2*z**2 + 70*b**2*z - 87*z wrt z?\nAnswer: -132*b**3*z**2 - 6110*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3 - 2) + 1)\/(28\/(-70)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 1\/20*r**5 + 0*r**3 + 0*r + 0 - 3*r**2 + 1\/12*r**4 + 1\/120*r**6. Determine n, given that x(n) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwoxbbwud. Give prob of sequence do.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y - 2. Calculate t(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121894415 to the nearest integer?\nAnswer: 11041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*u**3 + 2*u**2 + 438.\nAnswer: 9*u**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -4*q + m - 19, -6 = -q - 3*m. Calculate the greatest common divisor of q and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -5. Let v = 19 + -19. Let a = 76 + -155\/2. What is the second smallest value in a, v, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -4, -11.\nAnswer: -11, -4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -1224999*p**3 - 2*p**2. Let g(y) = -y**2 + 5*y + 9. Let n be g(5). Let o(r) = r - 7. Let m be o(n). Let s be q(m). Round s to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -574 - -701. Suppose 0*b + b = 91. Let y = n - b. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 12. Calculate the least common multiple of z(5) and 0 - (-11 + (2 - 2)).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmmu when four letters picked without replacement from {n: 2, m: 2, u: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - (-34)\/6)*168\/98. Let x be w\/28 - (-3)\/14. Factor -x - 3\/2*p - 3\/2*p**2 - 1\/2*p**3.\nAnswer: -(p + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 - 25*j**2 + 12*j - 9. Let q be s(-13). Let b(u) = -u - 8. Give b(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 4:26 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2351383*p**3 - 5*p**2 - 98*p - 725 wrt p.\nAnswer: -14108298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7672*d**2 - 7672*d**2 - 44*d**3 - 52*d**3.\nAnswer: -96*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 115*p**3 - p**2 + 2*p - 1. Let j be q(1). Let w(i) = 4*i - 52 - 48 + 99. Let f be w(6). Calculate the highest common divisor of j and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -701\/205316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 6:38 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 3*p - 12, -2*p - 5*n = -3*n - 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -10*w - 8. What is the remainder when w is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 4:16 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = f, -4*o + f - 12 = -6*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132705747 to the nearest integer?\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3943 divided by -1\nAnswer: 3943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, l: 2}. What is prob of picking 2 p?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -2. Let i(c) = 41*c**2 - 16*c - 84. What is the tens digit of i(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-13 + 16 - (-2 + 6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 1 + (-4)\/(-1). Suppose -81 = b*t - 2*t. Is 4\/(-1 - t\/25) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 8*s**3\/21 - 2271*s**2\/7 - 1136*s\/7 + 2652. Factor w(f).\nAnswer: 2*(f - 568)*(4*f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -7*l**4\/12 + 3*l**2 + 4*l. What is the derivative of u(k) wrt k?\nAnswer: -14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 1\/2 (c) -5 (d) 5 (e) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -80, 4, 554, 11, -5, -3.\nAnswer: -80, -5, -3, 3, 4, 11, 554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 458259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 232858958 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 8:20 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-2 + 1) - 2. Let a be ((-6)\/5)\/(f\/5). Let d be (8\/12)\/(a\/9). Which is greater: -1\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17324, -11527, -5728, 73, 5876, 11681?\nAnswer: 17488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 12:43 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35139.\nAnswer: 3, 13, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 49*t - 46*t - 3*v, 6*t = -2*v + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 + 103. Calculate the highest common divisor of k and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 9*g - 72. Let h = -428 - -436. Give k(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1659*p**3 - 4*p**2 - 4*p. Let y(k) = 4977*k**3 + 14*k**2 + 14*k. Give 7*s(f) + 2*y(f).\nAnswer: -1659*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -10*n - 654. Let o = 45 - n. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**15\/u**(-8) assuming u is positive.\nAnswer: u**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w. Let f(u) = -u - 7. Let n be -3 + 1\/((-3)\/6). Let p be f(n). What are the prime factors of g(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*u = -2474, 2*u - 25 = -3*u. List the prime factors of b\/105 + (-2)\/(-15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**5 - 1885*k**4 + 122675*k**3 + 10453665*k**2 + 134511840*k - 500779260 = 0. What is k?\nAnswer: -27, 3, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 + -0.3. Let u = -0.15 + w. Let d = 37458 - 37461. Put u, d, 2 in descending order.\nAnswer: 2, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 19*b**2 + 34*b + 1665. Determine f(-23).\nAnswer: -1233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*l - 601, -3*l - 372 - 197 = -4*i. Let r = 208 + l. What is the highest common divisor of 117 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h**3 + 7*h**2 + 2*h - 7. Let o(b) be the third derivative of -b**6\/40 - b**5\/15 - b**4\/24 + 2*b**3\/3 + 46*b**2. Calculate 7*o(k) + 4*q(k).\nAnswer: -k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/3)\/h)**(-12\/7)\/(h**(-1\/11)\/(h**(4\/9)\/h*h)))\/((h**(-1\/6)\/(h*h**(-2)))\/((h*h**(-2\/31)\/h)\/(h\/(h*h**(2\/9))))) assuming h is positive.\nAnswer: h**(38911\/14322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -0.4 (c) -0.1 (d) -6.7 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -7. Let u(h) = 4783*h**3 - h**2 - 2*h. Let i be u(t). Let c be -23*(3 + i) - 3. What is c rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v. Suppose 7*s - 4*s + 15 = 4*y, -4*y - 4*s = -36. Let t be -8*1*(-9)\/y. Let c be t\/4 - 0\/(-1). Give x(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4750 by -25.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*z**5 + 25899*z**4 + 30*z**2 + 25782*z**4 - 14 - 51769*z**4 + 4*z**6 wrt z?\nAnswer: 480*z**3 + 240*z**2 - 2112*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**4 + f**3 - f**2 + f - 1. Let u(r) = r**5 + 5*r**4 - 23*r**3 + 5*r**2 + 16*r - 7. Let z = 830 - 826. Let a(v) = z*u(v) + 12*s(v). Solve a(d) = 0.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/9 - 2*j**2 + 88*j\/9.\nAnswer: -j*(j - 4)*(j + 22)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**7\/1260 + 7*v**6\/3240 + v**5\/270 - v**4\/3 + 4*v**2. Let n(p) be the second derivative of r(p). Factor n(u).\nAnswer: -2*(u - 1)*(9*u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -c + 1648, -8*c + 11*c - 12 = 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-12)*(-5 - -2). Suppose 2*m + 192 = 3*s - m, 3*s - l*m = 197. List the prime factors of s.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/5 + 3471*z**2 + 75532752*z\/5 + 2026752192\/5 = 0. Calculate z.\nAnswer: -8664, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12264*x + 12245*x + 114 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 3*l - l)*(9*l - 7*l + 2 + 2).\nAnswer: -4*l**2 - 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ffoffffffoffoo?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 273973 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*x**5\/9 - 7810*x**4\/9 + 29444*x**3\/9 + 42850*x**2\/9 - 29372*x + 27440 = 0. Calculate x.\nAnswer: -980, -3, 7\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1221333330 - -204?\nAnswer: -1221333121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5560 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 224407319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6*v = -12. Suppose v*p - 279 = -4*t, 3*p - 2*p = 4*t - 291. Let h = 7 + 1. What is the greatest common factor of h and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59205?\nAnswer: 3, 5, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.061 + 6.939. What is the third biggest value in v, 0.3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -24, 0, 2\/7 in decreasing order.\nAnswer: 2\/7, 0, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 135192940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30313 (base 4) in base 6?\nAnswer: 3451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -20*x**3 + 7*x**2 + 10*x + 4. Determine c(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4065.762ml in litres?\nAnswer: 4.065762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.042, 3, -0.3, 18366, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1))**8 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -276*j**2 - 4*j + 138*j**2 + 2*j**3 - 5*j + 3*j + 138 + 4*j.\nAnswer: 2*(j - 69)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-4)\/4)\/((-4)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -5*d. Suppose 2*v = -d*h + h + 10, 3*v - h - 15 = 0. Solve 2*a + 4*n = 26, -5*a - v*n + 45 = -0*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 43, 3\/4, -0.4 in decreasing order.\nAnswer: 43, 3\/4, -0.4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1066702239 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/16 + (-8649)\/108. What is the third biggest value in x, -1, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-584 + 4994 + 6732)*(-2*z + 2*z - z) - 1 - z + 1 - 3*z - z + 2*z + 2*z - 1 + 1 + (-3 - 2*z + 3)*(-3 + 2 - 1) + 2*z + 1 - 1 as w + h*z and give h.\nAnswer: -11137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8)\/(-36) + ((-4746)\/1188 - -3) and 45\/68?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5448713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4. Let q(v) = -1913 - v**2 + 0*v**2 + 954 + 956 - 4*v. Let u(b) = b + 1. Let p(s) = m*u(s) + q(s). Determine c so that p(c) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 326*x**2. Let r(f) = -233669*f**2. Determine v(r(l)).\nAnswer: 17799991708886*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 18*u. Let a(b) = 2*b - 1. Let l(o) = 5*o - 2. Let s(v) = 2*a(v) - l(v). Give s(m(f)).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjjjjddddjjjj. What is prob of sequence jd?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12108)\/(-20180))\/(-1*(-6)\/(-20))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1352)\/(-4) - 4*(-4)\/(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.6, -0.3, 29, 5, 0.07, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 10:16 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-1 + -2 + 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -12*v**3 + 4*v**2 - 68*v - 5. Let h(f) = -f**2 - 3*f + 1. Let k(r) = -10*h(r) - 2*t(r). Find the second derivative of k(w) wrt w.\nAnswer: 144*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640245083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 102? (a) -3 (b) -1 (c) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1481767926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -465*c**3*x**2 - c**3*x - 68*c**2*x wrt x?\nAnswer: -930*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-40)*-1*(-2)\/(-1)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 2*w + 17 - 8*w + 7*w in the form f*w + u and give u.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(385) + sqrt(385))\/sqrt(7) + -5*sqrt(55)*-2)\/(-3*sqrt(132)\/(sqrt(432) - sqrt(432)*2)))**2.\nAnswer: 5120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -16*o**3 + o**2 - 2*o + 5. Let j(v) = -5*v**3 - v - 1. Give a(l) - 2*j(l).\nAnswer: -6*l**3 + l**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*((-10)\/(-4) - (12499513\/78 + -4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 20*c**2 - 9*c - 26. List the prime factors of i(10).\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(9699\/(-265) + 33)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.29 + -0.21. Which is the second smallest value? (a) r (b) -5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + 1 + sqrt(272) + 1 + 0 + (-6*(2 + sqrt(272) - sqrt(272)) - sqrt(272)) + 0)**2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*h + 140 - 807 - 941 = 0 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/220 and -109\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -8.3 (b) -2\/19 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.126 - -30.\nAnswer: 29.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*q + 49*q = 0. Put q, -162, 3 in ascending order.\nAnswer: -162, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 449003*u**5 + 2*u**3 + 988637*u**2 wrt u.\nAnswer: 26940180*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184380588?\nAnswer: 2, 3, 7, 89, 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((0 + 1 - 3) + 0 - (23254 - 23294)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t + 1. Let o(c) = c. Let h(z) = -a(z) + 4*o(z). Give h(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/20)\/(3\/(-7185)). Suppose -6*a + 0*a + b = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxww when four letters picked without replacement from {x: 9, w: 10}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (-2 + 44*1). Let f(t) = t**3 + 53*t**2 - 53*t + 103. Let y be f(-54). Let m = y + q. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2\/6 - 1745825*d\/3 = 0.\nAnswer: -3491650, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - 14*c - 10. Let z(y) = y + 1. Let r = -32435 - -32434. Calculate r*j(t) - 10*z(t).\nAnswer: 2*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqs when three letters picked without replacement from {f: 2, s: 1, w: 2, r: 1, v: 2, q: 1}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*j**2 - 34*j*t + 3*j + 2526*t wrt j.\nAnswer: 8*j - 34*t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 163 and 9.5337.\nAnswer: 172.5337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -m + 99, -m - 4*a = -2*a - 99. Suppose 0 = 4*b - 297 - m. What is the greatest common divisor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9302348.\nAnswer: 2, 11, 53, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**5\/120 - b**4\/24 - b**3\/3 - b. Let p(o) be the second derivative of g(o). Determine p(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -43, -0.2.\nAnswer: -43, -31, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 1)*(51*r**2 - 51*r**2 - 9*r**3).\nAnswer: 36*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + -32?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y - 17. Calculate the lowest common multiple of r(-14) and (-1 - -2)*-7*-1.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 17*y**2 + 31*y + 19. Let c be b(-15). What is the third derivative of -q**2 - 4*q**2 + 3*q**4 - 18*q**c + 41*q**2 wrt q?\nAnswer: -360*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*n + 884*n - 11112 + 11113.\nAnswer: 1063*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/2)\/(-2) + 0. Suppose 0*k + p*k = -102. Let v = k - -49. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, 2, -1, 3, -10, -14 in increasing order.\nAnswer: -14, -10, -1, 2, 3, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 6*n - 2. Suppose 0 = -2*w - 0*w + 5*h - 13, 0 = -4*w - 3*h - 13. Calculate the lowest common multiple of o(w) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 580.7 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3955 is divided by 438?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 10 + 24 = 0. Let f be (18\/(-3) - -2) + x. Solve 0 = f*u + 1 - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 806790, 806789, 806788, 806787, 806786, 806785?\nAnswer: 806784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2448 = -117*n + 147*n + 123*n for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -5*d**9\/504 + d**5\/60 - 3*d**2. Find the third derivative of v(j) wrt j.\nAnswer: -600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-18)\/10)\/(((-44)\/(-140))\/(-11)) is divided by 1\/2 + (-93)\/(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 720023822?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - 4\/1 - -3. Sort y, 3, -4.\nAnswer: -4, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (-33 + 8 - 4)) + -12 + 12.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 789 = -2*m - 5*b, -4*b - 1180 = -9*m + 12*m. Let q = -42 - m. What are the prime factors of q?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -22*s**3 - 1503. Let r(v) = 16*v**2. Determine y(r(w)).\nAnswer: -16896*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 - 45. Solve -f - 7*s = -2*s + 5, b = -5*f - 5*s + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w. Let c(q) = -14*q. Let k = -121 - -111. Let h(x) = k*t(x) - c(x). Let v(g) = 6*g**2. Determine v(h(z)).\nAnswer: 96*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 844710.373 rounded to the nearest 1000?\nAnswer: 845000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -6. Let a(r) = 6*r + 1. Let i be a(-1). Let m = p - i. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(2 - 1) - -15. Let v be -65*(i\/(-39))\/(2\/18). Let p = -75 + v. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 c when three letters picked without replacement from hhfkakakac.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 - (-875)\/(-125) - ((-22)\/(-2) - 2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8085660 to the power of 1\/2, to the nearest integer?\nAnswer: 2844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 401 or -756?\nAnswer: 401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*z - 30 = 48*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 9445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 + 9*d**2 + 16*d + 14. Is r(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 9:24 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, z: 1, h: 1, x: 1, f: 2, s: 1}. What is prob of picking 1 q, 1 s, and 1 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**2 - 93*p + 456. Determine y(5).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Suppose 3*w - h*s = 66, 0 = 3*w - s - 10 - 52. Suppose 0 = -f + 9 + w. Calculate the remainder when f is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 19 = -2*a. Let k = a - -19. Solve k = -4*s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5317769180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4544 - -4664. Calculate the highest common divisor of x and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f + 29. Let x be z(5). Let h be ((1 - 0) + 70)\/x + -1. Let t = 128 + h. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7*c**2. Let u(s) = -1523556*s. What is g(u(k))?\nAnswer: -16248560195952*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -21905100 divided by 9?\nAnswer: -2433900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/7))**(-1\/5))**(2\/11) assuming m is positive.\nAnswer: m**(4\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3552492283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - t**2 - t - 1. Let w be ((-3)\/(-2))\/((-18)\/(-24)) - 2. What is m(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 8 - 1. Let b = 2472 - 2460. Suppose 5*r - m*d = -2400012, -8 = -5*d + b. Round r to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104484 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.04489332 * 36\nAnswer: 1.61615952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**7\/2205 - h**6\/28 - h**5\/210 + 137*h**4\/252 - 10*h**3\/7 - 517*h**2. Let x(o) = 0. What is o?\nAnswer: -2, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -13. Suppose -l*g = -2*f - 25, 4*g + 4*f = 37 + 11. Solve g*q - 24 = 2*q - 4*v, 0 = -2*q - v + 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1268190 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 120. Give q(-66).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.51645 micrometers in millimeters?\nAnswer: 0.04951645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*f**2 - 54*f - 8*f**3 + 12*f**2 + 4 + 9*f**3 + 53*f to the form j*f**2 + k + w*f + n*f**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14525, -29195, -43865, -58535?\n\"Answer: -14670*m + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 5:56 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53152*z - x = 53154*z, -3*z + 14 = 5*x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13736 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*h = h - 1, -2*h = -5*z + 31. Let s be ((-6)\/7)\/(1\/z). Let w be (-15)\/(-54) - (-1)\/s. What is the closest to -1 in 1, 3\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*n - 560 - 44 - 260 = 0 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*f - 153, -5*f = -142 + 112. Calculate the highest common factor of 1095 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -419*s - 11*s**2 + 258*s**3 + 421*s + 4626 + 3007 + 664 + 812 wrt s?\nAnswer: 774*s**2 - 22*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -3*o - 2*m, 0*o = 3*o - 5*m - 163. List the prime factors of o.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -8*r - 5. Let g be p(-1). Sort -0.1, -8\/7, g.\nAnswer: -8\/7, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -1 (c) -47\/5 (d) -13761\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*r = -74*r + 23490. Is 48 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 201376456?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 5*m**2 + 18*m - 19. Calculate p(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -11*a**3 + 2*a**2 + 2*a. Let j be (-21 + 38)*(-2)\/(-17). Give n(j).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 l when three letters picked without replacement from clccccclccclcccc.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + 3*s**3 + 0*s**3 + (0 + 3 + 0)*(-3*s**3 + 4*s**3 - 3*s**3) - 109*s**3 + 295 - 295)*(1 - 1 + 2*s).\nAnswer: -228*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 + 5 = -29*f. Suppose -5*z = -4*z - 12. What is the second derivative of -f*n**5 - 64*n - z*n**5 + 71*n wrt n?\nAnswer: -280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*g**2 + 225*g**2 - 10*g**2 - 2*g.\nAnswer: 232*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31134, -23969, -12036, 4659, 26110, 52311, 83256, 118939?\nAnswer: 159354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 10*v**2 - 22*v + 45. Let q be f(8). Let w be ((-3)\/(-5))\/(q\/(-9)). Factor w*s**2 - 13\/5*s + 4\/5.\nAnswer: (s - 1)*(9*s - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6613, -6620, -6627, -6634?\nAnswer: -6641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 510316411 to the power of 1\/4, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40692 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/13)*a**(-5\/3))\/(((a*a\/(a\/(a\/(a\/((a\/((a*a**(2\/13))\/a))\/a))*a)*a)*a)\/a)\/a*a**(-3\/4)) assuming a is positive.\nAnswer: a**(-95\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4015 + -12?\nAnswer: 4003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12391*c + 15450*c - 6245*c to the form m*c + g and give m.\nAnswer: 21596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11886, 12066, 12246, 12426, 12606, 12786?\n\"Answer: 180*l + 11706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 70. Let z be r(18). Is 35004\/z + (-8)\/52 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9388*g**2 - 58*g**2 - 29*g**2 to o + t*g**2 + x*g and give t.\nAnswer: 9301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 140*m - 11. Is d(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*n - z, -3*n - 4*z = z + 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 10170.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f + 0*f + f**2 + 7*f**2 - 4*f**2 + 2*f**2 + (f + 0*f + 0*f)*(f + f - 5*f) - f**2 + 0*f**2 - f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (366\/56 - 14\/56) + -6.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 658?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39076043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -32*v + 907. What is the remainder when q(22) is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19c0e - 23a6?\nAnswer: -1c0b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 5233 - 1405 = 123*j. Solve -11*z + j*z + 44 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbqo when four letters picked without replacement from {u: 1, o: 2, n: 3, z: 2, b: 1, q: 3}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -31\nAnswer: 6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -10*c. Let q(j) be the first derivative of -3*j**3 - 7*j**2\/2 + 1040. Calculate q(r(y)).\nAnswer: -900*y**2 + 70*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*((-2)\/(-10)*-139822)\/((-8)\/(-10)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6*s**0*(s**(-7)\/s*s)\/s**(3\/2))\/(((s*s**(2\/3)\/s)\/s*s**(-1)\/s)\/(s**0*s*s*s\/(s**(-9\/2)\/s))) assuming s is positive.\nAnswer: s**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.5 (b) -4 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47 in -1\/3, 3\/2, -0.096, 12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505 is divided by 108?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 277 = -5*j. Suppose 5*c - j = -2*a, -c + 3*c - 3*a = 17. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k + 9*k + 204*k**2.\nAnswer: 204*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 4. Let z = -37 + 41. Suppose h = -9 + z. Calculate m(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + 16. Suppose -g = 7 - m. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.7+5\nAnswer: 14.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*q - 375 = 318, -4*q + 700 = -4*r. Let y be (-2)\/7 + r\/(-21). Is 2 + (-4)\/y*-654 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/2))**(-1\/12))**26 assuming q is positive.\nAnswer: q**(-13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17737 plus 386820490?\nAnswer: 386838227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**14\/a**(8\/5))**0 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = 2*y, 2*d + 5*y - 10 = -5. Suppose 4*c + 6*v - d*v = 8, c + 5*v + 17 = 0. Suppose -2*u - l + 165 = 56, -c*u = 5*l - 153. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 2*n**2 - 4*n - 3. Let k be a(-3). Suppose 44*b + 43 = 307. Suppose -b*u + 5*u + 47 = k. Is u a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206, -770, -1688, -2960, -4586, -6566?\nAnswer: -8900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7502 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3*d - 2*k + 339, 2*k = d - 75. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 14 = u, -4*u - 49 = -9*u - k. Let s be (u\/(-6))\/(25\/(-30)). Is 1 + (3 - (-87 + s)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 18736?\nAnswer: -5\/18736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r + 127. Let s be n(39). What are the prime factors of (s\/3)\/(4\/12)?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*y = -y - 8, 4*d = -5*y + 30. Let g = -0.04 + 0.44. What is the biggest value in 0, g, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 48*b = -49*b + 20, -d - 20 = 5*b. Solve v = 5*g - 9, -d*g + 5*v + 2 = -3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026416785 rounded to 5 dps?\nAnswer: -0.00264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -241*j**3 + 98*j**2 - 5*j + 10. What is the units digit of a(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 44 = 15*y. Suppose 3713 = d + 3*m, -6*d + 3*d + y*m = -11178. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 - -59. Suppose 0 = -4*a + v*a + 12, -5*s + 24 = -3*a. Suppose s*t - 2067 = -0*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/10)\/((-7)\/(-35))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -3)*(-1 + 11)*32\/(-20).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -901725*u**3 - 57356*u**2 - 5 wrt u.\nAnswer: -5410350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 377, 1, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1449236862 to the power of 1\/2, to the nearest integer?\nAnswer: 38069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -108*p - 168 wrt p?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 516 = 3*l - 517, 2*l = 9*p - 24 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 662.05653 rounded to the nearest ten?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -307 + 411. What is the remainder when c is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*v = 120, 4*w + 52 = -2*v - 70. Let h = w + 64. Suppose 5*u = 4*s - s - 27, 0 = 4*s + 3*u - h. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/32342741 - -3488714443479\/517483856. Let x = -6744 + v. Calculate the common denominator of x and -109\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 + 0 - (4 - 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((2 + -1 - 2)*27\/18)\/((-14940)\/(-240))\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*5*4\/10. Let k(i) = -2*i - 10. Let t be k(b). Solve 9 = -3*h - t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 172 * -29\nAnswer: -4988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) 31 (b) 2\/15 (c) -0.4 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12575, 212 in ascending order.\nAnswer: -12575, -4, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 17545860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.128 - -12.028. Let l = -5.9 - 0.1. Let o = l + c. What is o rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(324) - sqrt(324))\/(sqrt(30)\/(-1*sqrt(10))) + (sqrt(36)\/sqrt(2)*5)\/(sqrt(216)*1) + -3.\nAnswer: -3 + 113*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179339914 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*l + 2*l**2 + 11*l**2 + 20*l wrt l.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/5, -1\/27, -1, 0.03489, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*l = 413, -h + 378 = 3*l + 2*l. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09542181 rounded to 4 dps?\nAnswer: -0.0954","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -488 - -5402\/11. Calculate the common denominator of m and (42\/(-4))\/((-11)\/(-4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-35) + 30\/14. Suppose b*u = 3*v - 81, 6*v - 3*u = 2*v + 108. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 170*z - 81. Let j be v(21). Let a = 5033 - j. What is a rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 2:42 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o + 14. Let j(t) = t - 15. Let r be j(11). Let z be v(r). Let i be ((-7)\/((-14)\/z))\/(-1). Solve -i*f = -2*f - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-12) + 16\/24. Let a(x) be the first derivative of j*x**4 + 3\/2*x**2 + 5\/3*x**3 + 0*x + 3. What is a(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - k**4 + 4*k**2 + k - 4 - k**4 - 5*k**2 to the form d*k**2 + x + o*k**3 + b*k + v*k**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -157*n + 171*n - 15 - 10 + 5 in the form c*n + g and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -264\/5 + 53. Let p = 57 + -21. Let x = p + -33. Which is the closest to 0? (a) x (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 366 - 365.9999361. What is b rounded to 6 dps?\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**3 + 4*q**3 + 4*q**3 + 6*q**3 - 11*q**3.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/9 - 68*u\/9 + 578\/9 = 0.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -677 or -72890?\nAnswer: -72890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5*-45\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 10) in base 7?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 1017446*u - 4069752.\nAnswer: -2*(u + 4)*(u + 508719)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 4 + 2)*(-2*x + 2*x - x) - 5*x + 3*x - 2*x)*(31 - 5*x - 31)*(3 - 3 + 1) to i*x + r*x**2 + p and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4740 and 18?\nAnswer: 14220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 176?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 12*m**2 - 57*m + 36 = 0.\nAnswer: 3\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25631*a**2 + 18920*a**3 + 33314*a**3 - 25631*a**2.\nAnswer: 52234*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v + 2. Let w be s(4). Let i = w - -32. Suppose 0 = -0*o + o - 6. What is the highest common factor of o and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2425183 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 1 - -1) + 4. Let n be ((-57)\/(-76))\/(2 + p\/(-4)). Suppose l - 4*l + 67 = 2*u, 91 = n*u - 5*l. Calculate the remainder when 127 is divided by u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3212903 divided by 1123?\nAnswer: 2861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38161901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*y - 17, 2*y + 1 = 5*d + y. Which is the second biggest value? (a) -4 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*t - 48*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (9 + 3)) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 5*r + 5. Let n be h(5). Let z = 28805.1 + -28805. What is the closest to n in 4, z, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -7 + 0*q**2 + 35\/3*q**3 + 0*q - 13\/7*q**7 + 0*q**5 + 0*q**4 + 0*q**6. Find the third derivative of k(t) wrt t.\nAnswer: -1560*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*10*(-66)\/2420.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*d = 475 + 182, 0 = -2*p - 3*d + 274. Solve 3*o + p*j + 40 = 130*j, 2*o + 20 = 2*j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0597 and -4757.\nAnswer: 283.9929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 36674910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67785 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -251*0.2.\nAnswer: -50.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cm when two letters picked without replacement from gomoggcgcgmqxq.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**0)\/((t\/t**(2\/9))\/t))**(8\/3) assuming t is positive.\nAnswer: t**(88\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 85 - 372436?\nAnswer: -372361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -11.\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -219 + 695. List the prime factors of i.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(500))\/(-3*sqrt(196)).\nAnswer: 5*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14863483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1202?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -51449261?\nAnswer: 13\/51449261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -149655*t**3*w**3 + 2*t**3*w - 28*t**3 - t**2*w**3 - 6*t**2*w + 15*t**2 - 2*w**2 wrt w.\nAnswer: -897930*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1541 = 210*z - 3919. Calculate the least common multiple of z and 18\/2*(1 + 0).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1809*u**5 - 19*u**3 - 20*u**2 - 33. Let s(l) = -4*l**5 + l**3 + l**2. Let n(b) = 2*q(b) + 38*s(b). What is the third derivative of n(k) wrt k?\nAnswer: 207960*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301305229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/261 and 33462\/(-36366) - 4\/(-114)?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -7974.\nAnswer: 5\/3987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhjj when four letters picked without replacement from {j: 4, h: 1, l: 5}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.9 + 0.1. Let g = 4405\/8794 - 4\/4397. Is m equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -264 + -125?\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, q: 2, s: 4}. What is prob of picking 2 a?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**2 - 60*r = 0. What is r?\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12044794 is divided by 217?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-12)\/(((-135)\/(-210))\/((-12)\/(-14)))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3445)\/159 + (-2 - 119\/(-21))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -282 + 403. Let i = 151 - g. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -145.99999753 + 146. Round m to 7 decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42 and -0.7909.\nAnswer: -33.2178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1640478 to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247144777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 150 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 589 + -588. Let q(d) = 3*d**3 + d. What is q(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -123 - -1351\/11. Which is the third smallest value? (a) -89 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 27 = -2. Suppose -6*v + 26 = 3*k - 4*v, 0 = -x*k + 2*v + 38. What are the prime factors of 186\/8 + (-2)\/k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 + -138. Let f = y - -66. Let b be f\/(-2) + 0\/(-2) + 10997. What is b rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6*w - 12 = 3*w, 4*v - 7 = w. Let r be 1\/v - 2\/9. Is r < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5786565\/9108398 + 504\/793. Does -1 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a = 8*a + 16 + 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 4*f**2 + 8*f. Let i be h(-6). Let n(b) = -b**2 + 19*b + 42. Let u be n(20). Calculate the common denominator of (1 - u\/24)*128\/i and -97\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1944 and 2673?\nAnswer: 21384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 12 = -59*q + 56*q, 0 = -2*n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*x**2 + 2*x**2 - 62*x**2 + (-1 + 2 - 2)*(4 - x**2 - 4).\nAnswer: -47*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 8) + (4 - (17 + -40)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b - 2. Let t be p(-4). Let q(y) = -y**3 + 5*y**2 + 11*y - 21. Let v be q(6). Is 2 a factor of (t\/6)\/((-3)\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53522 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 56 = -3*k, 2*o - 20 + 30 = -3*k for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 118*u + 4529. Calculate the remainder when q(-15) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(28) + -5*(sqrt(7) - (-2 + sqrt(7))))**2.\nAnswer: -36*sqrt(7) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/(((a*a**(-1)\/a*a)\/a)\/a*a))**26*(a*a\/(a*a**(-2\/3))*a)\/a**5 assuming a is positive.\nAnswer: a**(305\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d + 5. Let c(n) = 4*n - 6. Let r(f) = -4*c(f) - 5*l(f). Let y be r(-7). Suppose y*o - 2*o = 52. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -227 + 231. Suppose -3*g + 2200 = 2*v, g - j*v - 285 - 453 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from {c: 3, t: 11}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 + 116515?\nAnswer: 116465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004153862 rounded to 5 decimal places?\nAnswer: -0.00415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2007*u**2 + 1806 wrt u.\nAnswer: 4014*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**3 - 20*d**2 + 19 - 18*d - 11 + 3. Let n be v(11). Suppose 3*x + 465 = n. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**2\/5 - 7839*r\/5 + 23544\/5 = 0. What is r?\nAnswer: -2616, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 287 = -o + 293, 2*v + 6 = o. Let p = -0.5 - -0.56. Let f = -3.06 + p. What is the nearest to 2 in 5, f, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**2 + 491*m - 175928. Calculate x(-243).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 195 - 165. Let v = 29.99999072 - y. Round v to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 11 - (-28 - -24)) + 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-48)*28\/6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -75*q**3 - q**2 - 4*q + 4. Suppose 0 = 8*d - 10*d + 40. Calculate the least common multiple of d and z(-2).\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppzn when four letters picked without replacement from {l: 1, n: 1, p: 2, z: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 74*j = -416*j - 3132 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*p - 2*v = -3, -v - 1 = 0. Let n be 5 + 99599994 + 4 - (p - -4). What is n rounded to the nearest one million?\nAnswer: 100000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 1:41 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 2*s + 23 = 41 + 7, -3*s + 18 = 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -5. Suppose g*c = -2*c + 8. Solve -4*r = -2*b - 2*b - 12, -5*b - c*r = -3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 - 7?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 30 + (-16 - -1) + -33\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -10*b**3 - 5*b**2 - 7*b - 6. Let a(q) = 11*q**3 + 6*q**2 + 8*q + 6. Calculate -5*a(h) - 6*t(h).\nAnswer: 5*h**3 + 2*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.09201 + 0.56491. What is u rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -199*a**3*h - 23*h - 6 wrt a.\nAnswer: -597*a**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -11326\/10085?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -112*y - 824. Let j be n(-8). Solve -c = 5*k - 15, -k = 3*c + j - 75 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2, 0.04, -0.4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -36*j**2. Let m(z) be the first derivative of -40*z**2 - 399. What is m(s(k))?\nAnswer: 2880*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 314530681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7 = -o, o + 2 + 9 = 5*w. Let g(i) = 4*i**2 - 3*i. Let h be g(-3). Find the common denominator of w\/h*(-515)\/(-4) and 1\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 1)*(9 - 7). Suppose -b*j - 19 + 29 = 0. Sort -13, j, -5 in descending order.\nAnswer: j, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**2 - 12*a**2 - 34*a**2 + 1 + 58*a**2 + 3*a + 81*a**2 + 47*a**2.\nAnswer: 151*a**2 + 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1600 - r**2 + 8*r**2 - 1600.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -17. Let o = v + 24. What is the units digit of 1*(-4)\/(-6)*o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2550 = 5*k, q - 9*k = -12*k + 510. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 100823, -5.\nAnswer: -14, -5, 100823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2)\/s**(-1\/4))\/(s\/s**5*s*(s**(1\/2)*s)\/s)*(s**(-1\/5)*s)\/(s**(-2\/19)\/s*s)*(s**0)**(-7\/6) assuming s is positive.\nAnswer: s**(1579\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -6, 902, 3, 5 in descending order.\nAnswer: 902, 5, 3, 2\/9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331941 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 3 + b**2 - 36 - 17 to w*b + d*b**2 + g and give g.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 0.1546567503841.\nAnswer: 0.1546567503841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 q when three letters picked without replacement from {b: 4, t: 2, d: 8, q: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/140088 and -117\/10?\nAnswer: 700440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from {j: 4, z: 1, k: 2, c: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -22 (b) 13 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13*522\/(-290)*160\/(-156)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -9*j**3 - 27*j**2 + 9*j + 3. Let y(h) = -5*h**3 - 15*h**2 + 5*h + 2. Let f(i) = 4*x(i) - 7*y(i). Calculate f(-5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*r = -3*l + 7, 4*l - 4*r - 16 = 0. Put l, -5, -4 in decreasing order.\nAnswer: l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 64. Suppose q = 5*s - 291, 3*q + y = 6*q. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -55792\/9 and 272.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 174*h + 8534. Determine r(-49).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 - 50967*q - 101922.\nAnswer: -3*(q + 2)*(q + 16987)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 637 and 17806061.\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -181*i - 977*i**3 + 979*i**3 + 325*i**2 + 943*i**2 - 7481*i + 11520 = 0.\nAnswer: -640, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 j, and 1 e when three letters picked without replacement from {j: 6, z: 3, s: 1, e: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -220 by 12999.\nAnswer: -220\/12999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1452) + sqrt(1452)*-1 - sqrt(1452) - sqrt(1452)) + sqrt(1452))\/(sqrt(4) - (sqrt(324) - (sqrt(324)*-3 - sqrt(324)))).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 469, 5004 in descending order.\nAnswer: 5004, 469, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 198 + -191. Let o be 3\/5 + (-23)\/((-690)\/14052). What is the greatest common divisor of m and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/24 and 73\/479511.\nAnswer: 3836088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*d - 3*d**3 + 0*d - 7 - 5 + 8 in the form q + u*d**3 + i*d**2 + r*d and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**2 - 15*w + 17. Calculate h(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + r + 37 = 0, 6 + 18 = 4*b + 2*r. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 26 = -3*i. Let b(p) be the third derivative of -p**5\/60 - 7*p**4\/12 - 5*p**3\/3 + p**2. Is b(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 68104, 136207, 204310?\n\"Answer: 68103*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllalllllllllllal. What is prob of sequence al?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 3*k + 20, 0 = -72*k + 70*k + c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 11. Let a be p(6). Let j be (0 + 0 - -1) + 0. Let f = j - a. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o + 5. Give b(9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + -2 + sqrt(272) + (sqrt(272) + -2)*1)**2.\nAnswer: -6822 + 672*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u + 2336 = -75*u - 3166 - 294 for u.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1097945657?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 94 or 83?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 424 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23186819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/((z\/(z*z*z\/((z**(1\/5)*z)\/z)*z*z))\/z))\/(z\/((((z**6*z)\/z)\/z)\/z*z)))\/(z\/z**(2\/3)*z*z*z\/(z*z**5)))**(-10) assuming z is positive.\nAnswer: z**(-374\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*c = 465 + 640 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/100*-5)\/(2\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.6 less than -42?\nAnswer: -62.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 40 = 14*k. Suppose -5*z = -k*g + 97, 6*z = 3*g + 7*z - 68. Solve 0 = r - 19 + g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 2*y + 16. Let g(f) = f**2 + 4*f - 31. Calculate -5*a(j) - 3*g(j).\nAnswer: 2*j**2 - 2*j + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4885 and -101731.\nAnswer: -96846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19080a + 6?\nAnswer: -190804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.1 (c) 2\/13 (d) 0.01 (e) 64 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - -1 - 20\/6. Let a be 5\/(-40)*2 + 15\/28. Let x = 95.9 + -96. Put x, d, a in descending order.\nAnswer: a, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218400 + 109191 - 12*p**2 + 109209.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 24, -6, 1\/14?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/313894 and -151\/807156?\nAnswer: 5650092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4353 is divided by 167.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - q**4 + 12*q**3 - 39*q**3 + 14*q**3 + 12*q**3 to the form h*q**3 + o*q**2 + w*q + f + i*q**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(3\/(-12))*7*155\/(-62).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2)**(-7\/12))**(-35)\/(w*w\/(w*w*w\/(w\/w**(4\/5))*w*w)*w*w**(-1\/6)*w\/w**(4\/7)*w*w*w\/(w\/(w*w**(3\/8))*w)*w*w) assuming w is positive.\nAnswer: w**(10639\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 313, 640, 967?\n\"Answer: 327*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = p + 11, -3*p - 54 = -2*u - 36 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j + 109. Let x be w(39). Let l be ((-2)\/4)\/(19\/x). Let i(d) = d + 7. Calculate i(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by -21915769\nAnswer: 25\/21915769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**5\/60 + 7*j**4\/24 - j**3\/2 + 46*j**2. What is t(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38.6466 + 38.02. Let l = y + 0.62. Round l to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 65745.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.03? (a) 1\/7 (b) -5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -789 - -771. Is y at least -1\/181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9a32 (base 14) to base 10\nAnswer: 26700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*k - 18 + 6 = 0, -5*k = 0. Put -2, -4, x, -3 in descending order.\nAnswer: -2, -3, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -18. Suppose -4 = 4*h + 2*g, -2*h + o*g + 15 = -3. Let f be (-2)\/9 - (-16)\/36. Which is the closest to h? (a) -3 (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9.9, -1\/246, -1\/2, -2\/5 in decreasing order.\nAnswer: 9.9, -1\/246, -2\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129 + -125. Is t*450 + (-16)\/(-4) + -5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 957740 is divided by 957735.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + sqrt(320)) + 2.\nAnswer: -32*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128.00011 - 128. Round l to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1\/18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 214 by 107.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 8*j + 28. Let m be i(-5). What is the common denominator of m\/(-24)*-8*10\/(-146) and -17\/7?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0.5, 1\/37?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24369851?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 + 45 + 19*(9 + -3) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*i + n, 4*i - 5*n + 14 = -11. Let r(p) = p**3 - p - 2. Let g be r(i). Is 1*g*1 - -55 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 63 = 3*b + 5*f, -4*b + 2*f + 98 = 0. Suppose b + 37 = 4*d. Suppose d = -5*o, 0 = -2*l - 2*l + 2*o + 166. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05795 - -698.95795. Let m = -699 + k. Round m to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -5*f**4\/24 - f**3\/3 + 3*f**2\/2 - 1. Let u(i) be the second derivative of v(i). Find the first derivative of u(l) wrt l.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 5*y**2 - 10*y**2)*(-3*y**3 + 6*y**3 + 31*y**3).\nAnswer: -272*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 13*n. Solve -d + 6*d = 2*j + 9, n = -d + 3*j - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 17. Let r(d) = -d**3 - 8*d**2 - 2*d - 9. Calculate the least common multiple of v(11) and r(-8).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -334049511 and -2\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 15*j**3 - 8*j**2 - 14*j - 8. Let c(a) = -10*a**3 + 5*a**2 + 9*a + 5. What is -8*c(g) - 5*u(g)?\nAnswer: 5*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**3 - 2*y + 2*y + (y - 2*y + 0*y)*(2 + 6 + 4)*(-4*y**2 + y**2 + 2*y**2) as z*y + n*y**3 + v + j*y**2 and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**2 + 5*b. Suppose -3*l = -27*l - 24. Let d be x(l). Solve -4*s - 5*n = 2 - 5, d = 2*s - 2*n - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115487\/5 - (-216)\/(-90).\nAnswer: 5, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 p when two letters picked without replacement from pbagbaaabbbabaababb?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*w**2 + 2)*(-12 + 10 - 6 - w).\nAnswer: 2*w**3 + 16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 + -59. Let k be -3*(13\/(-18) - (-2)\/z). Solve 2\/3*n + 0*n**2 - 1\/3*n**4 + 1\/3 - k*n**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103135 - -412543\/4. Factor 51\/2*u - n*u**2 - 867\/4.\nAnswer: -3*(u - 17)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.8915425ng?\nAnswer: 0.0000000008915425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 10784.85?\nAnswer: 10785.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (187\/22 - 8)*1\/(-4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19127879 or 19127878?\nAnswer: 19127879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(3))*6 + (5 + sqrt(12)\/sqrt(4))**2 + 5.\nAnswer: 16*sqrt(3) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 30*f**3 + 23*f**2 - 5*f + 5. Let y(q) = 0*q - 6*q + 3*q - q**3 + 4*q - 1. Let g(k) = -m(k) - 5*y(k). Find the third derivative of g(l) wrt l.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + v)*(-315 + 315 + 21*v**3 + (-2 - 2*v**2 + 2)*(1 + 2*v - 1)).\nAnswer: 17*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.89 + -0.11. Let k be (-23)\/(-4) - 4 - -3. Let v = 107\/20 - k. What is the closest to 1 in n, v, 1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24873.36679 + 24874. What is o rounded to two dps?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -427 (base 13) to base 2\nAnswer: -1011000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -10\/19*g + 8\/19*g**3 + 4\/19 + 2\/19*g**5 - 8\/19*g**4 + 4\/19*g**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16996403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 173787919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -309, -315, -321, -327, -333?\n\"Answer: -6*h - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5125 is divided by 2561?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2725*r + 5452*r - r**2 + 2 - 2725*r. Suppose 0 = 2*w - 3*k - 2*k - 16, 4*k + 16 = 0. Let j(z) = -2*z. Let y be j(w). What is m(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1522680019?\nAnswer: 7, 317, 686201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5a85b - 18?\nAnswer: 5a843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**5 - 2*y**4 - y + 2. Let n(b) = -19*b**5 - 6*b**4 - 2*b**3 + 3624*b + 6. Let c(z) = n(z) - 3*u(z). Find the second derivative of c(j) wrt j.\nAnswer: -320*j**3 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + 18*y = -224 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.1304844s in weeks?\nAnswer: 0.000064699875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009244161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = k + 2. Let h be (8 + (-232)\/24)*-3 + -7. Let r be (-35012)\/5 - h - k\/5. What is r rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*o - 9 = 0. Does 7 divide 1 + 0 + 29 + o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-32)\/(-12))\/(2 + 0). Let s be ((-8)\/35)\/((-16)\/40). What is the closest to 0 in s, f, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 891?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 + 0*r**2 + 0*r**2 + (3*r + 2*r - 3*r)*(2*r**3 - r**3 + 0*r**3) + 3 - 3 - 2*r**4 + 137*r**4 - 257*r**4 + 41*r**4.\nAnswer: -80*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6140625 is divided by 877221.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w**2 + w + 12*w**2 + 216 - 3*w**3 + 9*w - 214 as n + o*w**3 + i*w**2 + q*w and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**4\/21 + 208*h**3\/21 + 5408*h**2\/7 - 2*h + 2992. Factor t(j).\nAnswer: 4*(j + 52)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120145503 (base 6) to base 16\nAnswer: -22638f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -40.6, 0.1, 0.5, -2.61, 17, 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/2 + -1 + -2. Let v = c + 8. Suppose 6*j + 205 = j + v*m, -2*j = 2*m + 86. What is j rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1185551*h**3 + 2*h**2 + 2*h + 2378470 wrt h.\nAnswer: 7113306*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/(-14) + 2 - 32\/(-14). Which is bigger: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*3*4\/8. Is 4 a factor of (3 - -27)*y\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccnccncn. What is prob of sequence nn?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100996973.\nAnswer: 7, 11, 83, 15803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m - 3. Let c = 244 - 249. Let i be 0\/c + -3 + 0 - -5. Calculate q(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*r + 5*p, -2132*r + 2128*r - 3*p = -37 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*-3*(-5)\/15. Solve q + s = -3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/6)\/((v\/((v\/v**(-2\/5))\/v))\/v)*(v*(v*v**(1\/4)*v*v)\/v*v)\/v**5 assuming v is positive.\nAnswer: v**(-31\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aggw when four letters picked without replacement from {w: 2, g: 15, a: 3}?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + p = -p - 22, 0 = 2*q + 2*p - 28. Solve 2*y + 6*x - 2*x - q = 0, -5*y - 2 = x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 3:39 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -94642966680 rounded to the nearest 1000000?\nAnswer: -94643000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {w: 8, a: 1, s: 5, h: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/7)\/((1824\/(-1539))\/16).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*o**4 - 487*o**3 + 54*o**2.\nAnswer: o**2*(o - 54)*(9*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 2*h**2 + h**3 + 0*h + 1\/6*h**4 + 0. Let q(o) = 1. Let c(u) = 6*q(u) - v(u). Let n(z) = -2*z. Determine n(c(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + t - 1. Let d(q) = 3*q**2 - 4*q - 5. Let k(c) = d(c) - 4*l(c). Let g be k(-8). What is the nearest to -1\/3 in g, 1, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3. Suppose -p - 15 = 2*f, 2*f + 2*p + 9 = 7*p. Let a = -6 - f. Let b be m(a). Solve -13 = -5*x + b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2881656.\nAnswer: 2, 3, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4286*f - 4290*f = -5*p + 13, 2*p - 18 = 8*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-2 - 110\/(-25)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -48*r**2 + 481*r - 10. Let a be i(10). Let g = 151 + -101. Suppose -4*f + g = -a*f - v, 4*f - 40 = -4*v. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -336 + 336. Suppose 12*w - 4*w - 40 = n. Suppose 5*f = -z + 74, -5*z = 3*f - 72 + 10. Solve w*t - j = 29, -t + j + f = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1967828 - 1?\nAnswer: -1967829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 8 + 0 + 7 + -22?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5014475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, c: 5, q: 3}. Give prob of sequence qccq.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (22 + -3) - (0 + 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 20 = -6*p. Suppose -98 = -4*x + 34. Let r = -20 + x. What is the remainder when r is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1661422511 to the nearest integer?\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**4 + 4240*g**3\/3 + 715858*g**2\/3 - 3731168*g - 2593080 = 0. Calculate g.\nAnswer: -378, -343, -2\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18982 or 18989?\nAnswer: 18982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3394 + -3388. Solve -130 + 154 = k*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2434*y + 36460. Give k(-15).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + sqrt(1300)) + (-3*(2 + sqrt(1300)))**2 - (sqrt(1300)*-1*3 + (sqrt(1300) + -1)*5))*-3.\nAnswer: -35217 - 1050*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2021798 is divided by 732.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1094551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 179 (b) 0.3 (c) -5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -623\/5 - -124. Let f = -2 + 4. Let r be f + ((-8)\/(-10) - 2). Which is the second biggest value? (a) p (b) r (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l**4 - 20*l**3 - 36*l**2 - 4*l - 8. Let g(k) = 9 + 2*k**3 - 2*k**3 + k**4 + k - k**2 - 10. Let p(u) = -a(u) + 8*g(u). Find i such that p(i) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 3 (b) -133\/5 (c) -0.04 (d) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w. Let s(v) be the first derivative of 3*v**2\/2 + 5. Calculate r(s(d)).\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(-6) + (-2)\/(-4). Let p = 1103 - 1099.016. Let d = 0.016 + p. Which is the nearest to 2\/7? (a) d (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -731*n - 15329. Give l(-21).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 6. Let h = v - 2. Suppose -5*j + h*d - 6 = 0, -2*j - 3*d + 11 = -5. Solve 0*a - j = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1089 + 290 + 799 + 132*m**2.\nAnswer: 132*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.3 + -0.3. Let y = -6 + z. Let m = 0 + 0.1. Which is the nearest to m? (a) -3 (b) y (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5582102 is divided by 155057?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 46*f**2 + 3. Let w(p) = 139*p**2 + 8. Determine -8*r(l) + 3*w(l).\nAnswer: 49*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -2, -5, -8\/33 in descending order.\nAnswer: -8\/33, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938364822.\nAnswer: 2, 3, 157, 223, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + 47*r + 278. Give x(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 299?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**3 - 130*l**2 + 43*l + 7. Give z(43).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -4)\/((-6)\/(-4)). Suppose i + 27 = -s*i. Let z = i + 64. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*f + 4*q = -92*f + 225, -2*f + 5*q = -90. Solve 191*l - f = 182*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by -24\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*n**4 + 2718*n**2 + 1526128 with respect to n.\nAnswer: 116*n**3 + 5436*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000619729152 rounded to seven decimal places?\nAnswer: 0.0006197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -222 (base 11) to base 8\nAnswer: -412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxtjxjj. Give prob of sequence tx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 2. Let y be 7\/((-35)\/20) + 6. Let u(w) be the second derivative of 0 - 1\/2*w**2 - 1\/6*w**3 - y*w. Give -g(v) + 2*u(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -16 * -11\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z + 40 = 0. Let i = z + -34. What is the lowest common multiple of 48\/(-2)*(-6 + 5) and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1, -327537?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36367 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + l + 3*l. Let q(c) = c - 12. Give q(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, s: 4, k: 3, n: 1, x: 4, y: 3}. What is prob of sequence noos?\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u**(-2\/9))\/u)**24*u*u\/(u*u**(-20\/9))*u*(u**33\/u)\/u)**(2\/59) assuming u is positive.\nAnswer: u**(970\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 121233?\nAnswer: -1\/40411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*3\/2289)\/((-1348)\/9436).\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-104.7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**4 + 0*f**4 - 4*f**4)*(141 + 146 - 106)*(1 - 2 + 2) in the form h*f**4 + m*f**2 + z*f**3 + r*f + x and give h.\nAnswer: -543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 4 = 5*c, -3*c + 0*b = 4*b + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7*n - 2*n - n.\nAnswer: -10*n + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7854427519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3640*r + 7482*r = -9292*r + 96065 - 857837 for r.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b - 1 + 4*b - 5*b)*(17 - 17 + 11*b**2) as n*b**3 + k*b + t + f*b**2 and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89 - -132. Suppose -53 = -2*f - 3*m, -2*f - w = -3*f + 4*m. Calculate the highest common factor of f and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y + 7. Calculate s(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 (base 5) in base 2?\nAnswer: 1101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*g + 9678 - 3133. What are the prime factors of g?\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -39. Suppose 0 = -2*f + q - m, 3*f = q + 2*q - 72. Let j = f - -34. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31\/93)\/((-8)\/6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96189060 to the nearest integer?\nAnswer: 9808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -518 - -519. Let w = 4 + 0. What is the greatest common factor of q and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**3\/3 - 1. Let w(d) = -18*d + 38*d - 17*d - 11*d. What is l(w(j))?\nAnswer: 64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 4*r**3\/3 - 25*r**2\/2 + 43*r + 23. Is o(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3228?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 114.474717 hours?\nAnswer: 0.681397125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**5\/20 + 3*a**4\/4 + 11*a**3\/6 - 3*a**2 - 2*a. What is the units digit of q(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 12*n**3 + 4*n**2 + 2*n. Give v(-2).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ek when two letters picked without replacement from {k: 1, i: 2, e: 1, h: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -218\/39 + -19\/78. Let t be ((-104)\/48)\/((-1)\/(-2)). Let s = t - x. Which is bigger: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4194 (b) 4 (c) 0.3 (d) -18 (e) 9 (f) -3 (g) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2*n)**21\/(((n*n**0)\/n)\/(n\/n**(1\/14)*n)) assuming n is positive.\nAnswer: n**(909\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q + 10. Let u be c(4). Let b be (-200)\/u*(-34)\/85. Calculate the highest common factor of 100 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 2156 + 2*f**2 - 9*f**3 - 2156 in the form x + n*f**3 + b*f + j*f**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1164863113.5.\nAnswer: 1164863108.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -200 + 52*x + 200 + 316*x in the form i*x + k and give i.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 182819, 365644, 548471, 731300, 914131?\nAnswer: 1096964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220704 and 4760?\nAnswer: 131318880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 49?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlkfs. What is prob of sequence lsk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4072, 4015, 3962, 3913, 3868, 3827?\n\"Answer: 2*d**2 - 63*d + 4133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 1)*(1 + 4 + 10)*(-4 - 2*u + 4)*(-5 + 1 + 2) as c + o*u and give o.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 3\/13 (c) 1836 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 3. What is y(7)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((15\/(-51))\/(9\/((-54)\/(-5))))\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39 and -0.014.\nAnswer: -0.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(2 + 5)*(-64)\/112. Determine a so that 0 + 2\/5*a**d - 2\/5*a**2 + 6\/5*a**3 - 2\/5*a**5 - 4\/5*a = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 - 15*o**2 + 13*o + 11. Let v(b) = -b**3 + 7*b**2 - 6*b - 5. Let q be (5 + -1 - 0)\/(4\/6). Let c(y) = q*m(y) + 13*v(y). Give c(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4*a\/((a\/a**(-10)*a)\/a)*a)**(-42)\/((a*((a**11\/a*a)\/a*a*a)\/a)\/(a*a**(-6\/11)))**(-14) assuming a is positive.\nAnswer: a**(4088\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 909035907.\nAnswer: 3, 13, 251, 92863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j - 15 = -5*h - 34*j, 0 = 2*j + 10. Suppose 0 = h*l + 17*l - 16566. Calculate the remainder when l is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*a**3 - 3*a**3 + 0*a**3)*(-4 + 2 + 4) + 0 + 2 - 9*a**3 - 1.\nAnswer: -53*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2869377 from 5.0828.\nAnswer: -2869371.9172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 + -21. Let f = b - -24. Let l = 124 + f. What is the highest common divisor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 - 40*x + 40*x + x**2. Let u(z) = z + 1. Let b(c) = 7*c + 6. Suppose 4*y + 5 = -y. Let w(m) = y*b(m) + 6*u(m). Give s(w(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*s = -3*s - 98, 2*q - 2*s - 92 = 0. Let z be (-7 - q)*(-8)\/10. Suppose -z = -7*p + 26. What is the least common multiple of p and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gccsqcsqscqsss. Give prob of sequence gcs.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -13*t - 39. Let a be o(-3). Solve a = 3*g, 2*l + 3*g - 2*g = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w - 105 = -109 - 370. Solve t - 4*k = 20, -9 = 4*k + w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 a when three letters picked without replacement from {a: 6, f: 2, l: 4}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 0*f + 0*f)*(-f + 3*f - 6*f) + (1 + 4 - 3)*(-5*f**3 - 9*f**2 + 9*f**2) - 6*f**3 - 8*f**3 + 22*f**3 + (0*f + 0*f - f)*(-3*f + 3*f - f**2).\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 + (0 - 8) + -49 + 44 + (46 - 43)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*u + 12, l = -5*u + 3*l + 20. Let g be ((-1)\/(-1))\/(u\/28). Does 8 divide (3 - 0)*(g - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 i when four letters picked without replacement from mimmmimmmm.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 0 + 3. Suppose -2*r + z = -5. Let a(y) = -y**2 + 5*y + 1. List the prime factors of a(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2019 - -2080. Suppose r + 3*h - 12 = 0, -5*r - 4*h = -r - 48. Let c = r + d. Calculate the remainder when c is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 - -54. Which is the closest to u? (a) -3 (b) -2\/31 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 355865 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109.5 - 1.5. Let j = p + -109. Suppose -2*l = -3*r + 25, -3*l + 4*r = -2*l + 25. Which is the nearest to -0.1? (a) l (b) 1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -1. Let r(c) = c + 16. Let u(t) = r(t) + 4*w(t). Let x be u(6). Suppose x*s = 23*s - 350. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 123225\/38 - 3243. Let s(c) = c**3 + 5*c**2 + 4*c - 2. Let x be s(-2). What is the common denominator of ((-885)\/(-315))\/(x\/(-6)) and a?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000083075 to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3006 = -2*l, -2*r - 5*l + 1165 = -318. What are the prime factors of r?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i. Let o(z) = -305603135*z + 2. Determine o(b(m)).\nAnswer: 611206270*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-7 - (-9 + 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 87 + 174. Calculate the highest common divisor of y and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10205 + 991 = -17*w. Suppose 7*n = w + 39995. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197891753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 10 + 6 + -10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/(-15))\/11*3\/(-3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37.38 - -0.62. Let k = -20 - t. Let p = k - -58.00056. Round p to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -981*w - 1832. Calculate the remainder when n(-2) is divided by (-12)\/(-16)*4*9.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 3*o**2 + 0*o + 0 - 1\/12*o**4 + 2\/3*o**3. What is the tens digit of k(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-4))\/((-6)\/236). Let l be (0 + 1)*-1 + u. Suppose m - 42 = 3*h, -4*m + 5*h = -292 + l. Calculate the highest common factor of m and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -18*z**2 + 28*z - 4. Let x = 6 - -1. Let g(u) = -36*u**2 + 55*u - 9. Let s(q) = x*k(q) - 4*g(q). Find n such that s(n) = 0.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*c = -356008, -4*o = 14*c - 11*c - 356006. Round o to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150908?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27995260 and 76?\nAnswer: 531909940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**4 - 1250*p**3 - 162*p**2 - p.\nAnswer: -24*p - 7500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/4*16\/(-12). Suppose -g*m + 567 = 5*m. Is (m\/(-9))\/((-6)\/8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 287, -3 in decreasing order.\nAnswer: 287, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r**3 + r + 1. Let b be d(-1). Let y(a) = a - 6. Let x be y(b). List the prime factors of (-186)\/(-14) - x\/(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + x + 3*x = 100, 3*r + 3*x = 141. Suppose 2*v - 165 = -q, 0*q - 2*q - 2 = 0. Let p(l) = -6*l + v - r - 39. Let w(n) = n**2. Give w(p(a)).\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -6, 1122204, -0.02?\nAnswer: 1122204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, h: 4, n: 6, s: 2}. Give prob of sequence ss.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 4*n - 63. Let j = 6 + n. Which is the closest to j? (a) -18 (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -i - 5*i. Suppose -3*j - 2 = 2*s, -3*j + i*s + 4 = -1. Which is the closest to j? (a) 3\/7 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1388 = 272. Suppose 10*r = 6*r + a. Is 22 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 - (-11 - (2 - 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 744876508664 - -3.\nAnswer: 744876508667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 6, -3*c = 3*k - 11 - 10. Suppose -k*g + 4*i = -29, 4*g - g - 5*i - 20 = 0. Solve -3 = r - g*j, 2*r - j - 3 = -0*j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 0 - 1 + 4*a + 0*a - 3*a + 2*a**2. Let x(l) = -l**2 + 3*l - 4. Let u be x(1). What is p(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4930245*w**2 - 9930*w + 5.\nAnswer: 5*(993*w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 5*s**2 + 6*s - 6. Let h(g) = g**3 - 3*g**2 - 2*g. Let a be h(4). Let b be 2*6\/a*4. Determine v(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**6\/240 + q**5\/120 + 3*q**4 + 12*q. Let o(v) be the third derivative of k(v). Suppose -10 - 5 = 5*u. Calculate o(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from qqegcteectce.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/3))**(13\/5)*(d**(-1))**(1\/62)*(d**(1\/3))**(-42)\/(d*d**(2\/3))**(2\/3) assuming d is positive.\nAnswer: d**(-44623\/2790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(704) - sqrt(704)*-1) + sqrt(11) + -3 - 3*(6*(sqrt(77) + sqrt(77)*-2) + sqrt(77))\/sqrt(7)) + -5)**2.\nAnswer: -192*sqrt(11) + 11273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 4)*(-398 + 338 - 127)*(1 - 1 - z) as t*z + p and give t.\nAnswer: 935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -24.3. What is the third biggest value in -1, 4, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40b85 (base 13) to base 10\nAnswer: -116212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z - 1. Let r be g(1). Suppose 0 = 5*d + 56 - 46. What is the nearest to -1 in d, 1, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2356 - 2355.97879. What is k rounded to three decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/21 + 166*z**2\/21 + 44*z.\nAnswer: 2*z*(z + 6)*(z + 77)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 32*m - 235. Let i be c(8). Calculate the highest common divisor of i and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/7 - 24\/84. Solve 0*i = 2*v + x*i, -28 = 3*v - 4*i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -3*f + 3, 20 = 5*f + 2*c - 13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 416 by -104.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 179438*u**5 - 671*u**2 - 5 wrt u?\nAnswer: 10766280*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 342\/(-741) - 8364\/(-15249)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/7 - 119460*b\/7 - 3567672900\/7.\nAnswer: -(b + 59730)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*a = c - 109*a - 4, -12 = -2*c + 2*a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -0.5, -2, 0.955, -3, -16?\nAnswer: 0.955","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -86818, -86830, -86856, -86902, -86974, -87078, -87220?\n\"Answer: -r**3 - r**2 - 2*r - 86814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1999001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 - 106*y - 1267. Calculate m(-39).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-91)\/92 + 540\/432. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 717 + -721. What is the nearest to -2 in -0.2, m, 5, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u. Let r(k) = -18*k**2 + 30*k**2 - 15 - 8*k**2 + 3. Give b(r(w)).\nAnswer: -12*w**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10324247?\nAnswer: 10324247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 1 = 5*l. Suppose 0 = -4*m - 2*u + 5*u + 6, 5*u - l = 3*m. Let p(k) = k - 3. Let h be p(7). Solve m*b = 3*v + b + 3, -h*v + b + 1 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 - 4 - 9*u)*(6*u - 10*u + 5*u) + 4*u**2 - 5*u**2 - 2*u**2.\nAnswer: -12*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 0, -14, -1, -1.04, 14.\nAnswer: -14, -1.04, -1, 0, 0.7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*r**4 - r**3 - 18*r**2 + 10912*r.\nAnswer: 108*r**2 - 6*r - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3989*s + 3512 wrt s.\nAnswer: -3989","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -144, -197, -238, -267?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 9677894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000365993074 rounded to seven decimal places?\nAnswer: 0.000366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 11, h: 1}. What is prob of sequence llh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5 - 12 = -4*z, -4*z - 3 = k. What is the units digit of k*8 + 4 - -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 2*t**6\/15 - 4*t**5\/25 - t**4 - 4*t**3\/5 - 287. Suppose q(l) = 0. Calculate l.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.53 + -0.477. Let i = t - 0.028. Let o = i + -0.371. What is o rounded to 2 decimal places?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19356 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 4. Suppose -q + v = q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1 - 7*n + 2*n + n**3 + 3*n**2 + 0*n**3. Suppose -18*m + 2*v + 50 = -17*m, -3*v + 145 = 4*m. Suppose -m = -215*u + 225*u. What is z(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*m + 35, 3*m - 4*m = u + 11. Let a(k) = 2*k**2 + 9*k - 8. List the prime factors of a(u).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.28384 weeks in microseconds?\nAnswer: 15291666432000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -20. Let o(z) = 41 + 41 - 79 - 2*z. Is o(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(2\/3))**(-14\/5)*(d**(-1\/2))**(-8\/13))**(-2\/29))**(3\/35) assuming d is positive.\nAnswer: d**(608\/65975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -85*g + 2971. Give l(39).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 827*r + 918 = 773*r for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**4\/4 - 2*g**3\/3 + 2*g**2 + g - 2. Let x be b(-4). Suppose 7 = 4*d - x. What is the least common multiple of 1 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 1016*o - 2765. What is r(3)?\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -30*p - 69. What are the prime factors of t(-9)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10122230 + -120?\nAnswer: 10122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 331 + -326. Let f(u) = u + 3. Let r be f(0). Let q be r\/(-1) + (-54)\/(-6). Solve 2*l - k*s + 9 + q = 0, -5*s + 15 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/12*2*(-12)\/(-112).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3321 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 3*q = -h + 2273, 10*h - 4*q = 13*h - 6849. Is 29 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**3 - h**2 + 13*h. Let m(d) be the first derivative of -3*d**4\/4 + 11*d**2\/2 + 10. Let r(b) = -5*m(b) + 4*p(b). Determine r(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 16*x - 4. Let w(z) = 30*z - 7. Let i(h) = -7*t(h) + 4*w(h). Let u = -7 - -16. Let f(y) = 0*y - 4*y - 3*y + u*y. What is i(f(p))?\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -10*w - 43. Let a be p(-6). Let i = 31 - a. What is the lowest common multiple of i and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1826\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48519 - 2*l**4 + 24267 - 7811*l**3 + 24250 to the form a + h*l**3 + d*l**4 + w*l**2 + s*l and give h.\nAnswer: -7811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 2:23 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -261477 divided by 3?\nAnswer: -87159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -8*y**2 + 0*y + 0 + 0*y**3 - 1\/8*y**4. Let q(r) = 2*r**2 - 3*r**2 - r**2. Determine l(q(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8205037.1 and 0.48?\nAnswer: 8205036.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 1 = -89*y + 91*y - 16, -4*y = -5*u - 41 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**6\/30 + 7*h**5\/25 - 27*h**4\/20 - 79*h**3\/15 + 13*h**2\/5 + 72*h\/5 - 12517. Find p such that m(p) = 0.\nAnswer: -9, -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1784*k - 26030 = 99399 + 47619 for k.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 3*d. Let m(p) = 4*p - 5. Let g be m(4). Suppose 0 = -4*w - 1 - g. Let r be z(w). Solve 5*q - 5 = -r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 132394.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, -10, 0.4, 2\/11?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 10*k - 12. Let d(u) = u**2 - 9*u + 8. Let l be d(9). Let m be i(l). Suppose 3*w + 10 = m*w. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30, -284, -538, -798, -1070, -1360, -1674?\n\"Answer: -h**3 + 6*h**2 - 265*h + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2 + 624*n - 4270 = 0. What is n?\nAnswer: 7, 305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -945051570*g**2 + 788949810 wrt g?\nAnswer: -1890103140*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104334.\nAnswer: 2, 3, 17389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(2 + (2 - 2)). Let l be (-18)\/(-2) + (3 - m). Suppose -3*u + 38 = l. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 3239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2516475 or 2516474?\nAnswer: 2516474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.32 + -0.97. Let d = u + 0.4. Let t = 0.05 - d. What is the closest to -0.1 in t, -4, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, s: 5, o: 2}. What is prob of picking 3 m and 1 s?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a week in hours?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 4*t - 24, -3*a - a - 3462*t - 111 = -3463*t for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**3 - 11*w**2 - 296*w - 41. Let b(n) = -n**3 + 6*n**2 + 149*n + 23. Give -7*b(t) - 4*q(t).\nAnswer: -t**3 + 2*t**2 + 141*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 36278?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(3\/37)*f)\/f**(-8\/3))\/(f**(-1\/22))**28 assuming f is positive.\nAnswer: f**(7351\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3215?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62629570173.2 - -62629603857.66299942. Let r = -33684.49 + z. Let c = r + 0.027. Round c to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 + 153*a**2 - 2268*a.\nAnswer: 3*a*(a - 12)*(a + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777067 is divided by 112.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 152 and 28.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -269.01 - -271. Let d = p + -2. Let f = -0.05 - d. What is f rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -720822+5\nAnswer: -720817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-168)*(-20)\/(7020\/(-81)).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/2*4\/(-3). Solve q + 2 = -k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 272 and 15260?\nAnswer: 1037680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = k + 2*h + 87, -4*k + 4*h + 28 = 0. Factor -2\/15*j**k + 0 + 2\/15*j**2 - 2\/15*j**4 + 2\/15*j.\nAnswer: -2*j*(j - 1)*(j + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -365, -550, -735, -920, -1105?\nAnswer: -1290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2641 divided by 17974.\nAnswer: -139\/946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 697?\nAnswer: 697.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -635 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 0 - 1\/210*l**7 + 1\/60*l**5 + 0*l**4 + 0*l**3 + 0*l + 0*l**6 - 4*l**2. Determine h, given that q(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8940920 smaller than -8940937?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - x)*(2*x - 6*x + 2*x) + 0*x**2 + 2*x**2 - x**2)*(0*x**2 - 4*x**2 - 5*x**2).\nAnswer: -27*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -48*r + 1127. Solve -10*h + 39 = -r*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 651051*m - 981416 wrt m.\nAnswer: 651051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5452961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1500 and 450.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -75, 0.34, -0.2?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c12ab (base 14) to base 15.\nAnswer: 2b096b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + 61 + -48 + -2 + -1 + -8.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**4 + 51130*h**3 - 654743628*h**2 + 30010113144*h = 0.\nAnswer: 0, 46, 25542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 152, 230?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.84 - 4.84518. What is n rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 0, 14.\nAnswer: -2, 0, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1417514?\nAnswer: 2, 7, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1035286 is divided by 244?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3569, -7136, -10703, -14270?\n\"Answer: -3567*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -502\nAnswer: -50.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1, 9, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1536)\/80)\/12)\/(((-18)\/(-10))\/(-3)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**2 - 8*b**3 + 9*b**3 + b - 2*b + b**3 to the form w*b + p*b**2 + s*b**3 + o and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.96 + 3. Suppose 34*y - 126*y - 105*y - 197 = 0. Which is the third smallest value? (a) y (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 73.94 and -3.657?\nAnswer: -270.39858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 3385122622336 and -0.5.\nAnswer: 3385122622335.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20.6, 0, 4, 1.5, -0.1, 8.\nAnswer: -20.6, -0.1, 0, 1.5, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91626.\nAnswer: 2, 3, 15271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2540612 and 258?\nAnswer: 7621836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104387?\nAnswer: 47, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + k**2 - 2*k + 1. Let m(p) = -p**2 + 6*p - 4. Let s be m(5). Let i be l(s). Let q = 376 - 371. Sort 0, i, q in increasing order.\nAnswer: 0, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23224 - -134?\nAnswer: 23361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 13*f**4\/12 + 236*f. Let w(s) = 38*s. Calculate y(w(r)).\nAnswer: 18772*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-6*sqrt(10)\/sqrt(5)*2)**2 + sqrt(20)\/(2*sqrt(10)) + -1 + sqrt(98)).\nAnswer: 15*sqrt(2) + 574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - 43*k + 31. What is f(-20)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -432, -4, -1\/4, 4\/9, -49.5?\nAnswer: -49.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -24 + 14 - 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19572 and 812.\nAnswer: 567588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/4)\/(1\/(-4)). Let v(g) = 28*g - 3. Let n(u) = 28*u - 3. Let z(t) = i*n(t) + 3*v(t). Is z(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r. Let n(c) = 37805*c**2. Calculate n(g(t)).\nAnswer: 37805*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 339*((-333)\/(-54))\/37 + 9\/(-6) + -1.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hffefyhyhyeeflf. Give prob of picking 1 h and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/7 (b) 1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m = 4. Let k(t) be the second derivative of 2*t**3\/3 + t**2 + 213*t. Calculate k(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2. Let j(x) = 2*x**2 - 154*x - 10. Calculate j(u(a)).\nAnswer: 8*a**4 - 308*a**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*g + 96 = 0, g - 3*g = -f + 30. Suppose 0 = -2*y + 4 + f. Suppose y = -6*c + 2*c, -4*r + 262 = 2*c. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from sssssesesfqsfs.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 931306100 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 17*y**3 + 12*y**2 - 113*y + 4. Let a(k) = 2*k**3 + 2*k**2 + k + 1. Determine 6*a(v) - w(v).\nAnswer: -5*v**3 + 119*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**4\/12 - 7*o**3\/3 + 3*o**2\/2 + 75*o. Determine q(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.22 - -0.62. Put 0.5, x, -1\/8, 2\/19 in decreasing order.\nAnswer: 0.5, x, 2\/19, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 = 7. Let a = o + 11. Let c = a - 3. Sort c, -5, 2.\nAnswer: -5, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1034 and 103494.\nAnswer: 1138434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/16 and 97\/2756500.\nAnswer: 11026000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11053360831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74650683.\nAnswer: 3, 4597, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17128, 17161, 17194?\n\"Answer: 33*i + 17095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*y - 3*y = 3, -3*s + 3*y = -6. Let a(x) = -x**3 - 3*x**2 - 4*x + 1. Determine a(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(891) + sqrt(891) + -2*sqrt(891) + sqrt(891) + -2 + -5)**2.\nAnswer: -72*sqrt(11) + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1462*r**3*v**2 + 12*r**3 - 5*r**2*v**2 - 4*r**2*v - 4136*r**2 - 378*r*v**2 + 5*v wrt v?\nAnswer: -2924*r**3 - 10*r**2 - 756*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*v**3 + 206*v**2 - 79*v**3 + 243*v**3 - 82*v**3.\nAnswer: v**3 + 206*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35747 or -36925?\nAnswer: -36925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 15 - -8) + (-3 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 8. Let o(h) = h**3 - 6*h**2 - 8*h + 2. Let w be o(7). Let u be -5*(w\/75)\/(3\/(-27)). What is the units digit of f(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 10*p**2 + 14*p - 9. Does 30 divide d(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 170?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39.6 - -40. Which is the smallest value? (a) -3\/7 (b) 4\/5 (c) z (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 270*y - 1353. Determine n(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 2:08 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 f when four letters picked without replacement from {f: 14, t: 4}.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 - 1.9. Let p = 23.438 + -23.7. Let c = p - -0.062. Sort z, c, -0.52 in ascending order.\nAnswer: -0.52, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + -1)*(18\/40)\/(-3). Which is the smallest value? (a) 1\/5 (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-18.7.\nAnswer: -3.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/80 and (9\/135*18\/(-4))\/((-108)\/106).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 9*t - 25. What is p(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/sqrt(2)*1 + (sqrt(55) - (sqrt(3520)*-1 - sqrt(55))))\/(-1*(sqrt(320) + 1*sqrt(320))))**2.\nAnswer: 1331\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1227.\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - c - 21 = -5*p, 4267*c = 4247*c + p + 75 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.33, -290, 1\/5 in ascending order.\nAnswer: -290, 1\/5, 0.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/36 and -161\/264.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, -0.2, -25\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 125798856.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32340 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 5, 0, 1088, 2 in descending order.\nAnswer: 1088, 12, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p + 4. Let v(r) = -r + r - 2*r + 2 + 3*r. Determine 7*v(s) - 3*w(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*p + 2 = 0. Let y be 2 - (p + -2 + -1). Suppose 0 = 2*l - 4 - 2. Solve -4*i + y = -l*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 486805 - 486800. Let r be 11\/3 - (-2)\/6. Sort -0.1, m, -52\/9, r.\nAnswer: -52\/9, -0.1, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -70454, -140918, -211382, -281846, -352310, -422774?\n\"Answer: -70464*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.6 (b) 39872 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*x + 1860 = 57*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 160 = l, -25 + 114 = d - 5*l. Suppose -5*f + 266 + d = 0. Let x = f - 27. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5030 = -2*t + 4916, 2*d - 225 = t. Calculate the smallest common multiple of 1232 and d.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 57839647 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/8 (b) -3 (c) 3 (d) -0.3 (e) -218\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 38*s**2 + 73*s + 49. What is d(-36)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**4 - i**3 + 387*i**2 - 5*i - 96. Differentiate h(w) wrt w.\nAnswer: 24*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n + 7. What is o(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 6*b**2 + 2*b + 9. Calculate i(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11283 + 11309. What is the remainder when 450 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r - 17. Let w(l) = -3*l - 25. Let s(m) = 7*j(m) - 5*w(m). Let k = 7 - 6. Let x(z) = 1. Determine k*s(u) - 5*x(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -107 - 7?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 - 436\/9. Let n = 5.6 + -2.6. Sort a, n, 0 in increasing order.\nAnswer: a, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -152 - -156. What is the second derivative of -k*h + 0*h + 62*h**2 - 3*h + 0*h wrt h?\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*m**2 - 25*m + 25*m to p*m**2 + l*m + t and give p.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*sqrt(5) + -5.\nAnswer: -5 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -5 + 13 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 80*n - 74*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 7*g**3)*(g - 4*g + 4*g) + (0 + 0 + g)*(1 - 1 + 2*g**3).\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10.9 * 60\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 94407, 188605, 282803?\n\"Answer: 94198*f + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23350 and 1245022.\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3 + (0 + sqrt(605) + 0)*-5 - (-4 + 4 + sqrt(605) + 1 + sqrt(605))*-4))**2.\nAnswer: 594*sqrt(5) + 5526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 911.9687 micrograms in nanograms?\nAnswer: 911968.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 62d105 - -28?\nAnswer: 62d12d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 782 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.18 - 6. Let j = -0.26 + v. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*f + 30*f + 116*f - 22*f.\nAnswer: 85*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 540?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -165\/4 - -1575\/4. Let x = f + -352. Factor -1\/6*k**2 + 1\/3 + 1\/2*k**3 - x*k - 1\/6*k**4.\nAnswer: -(k - 2)*(k - 1)**2*(k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3745 and -20531769?\nAnswer: 20528024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4677)\/2667449)\/(6\/354).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 14 = 4*m, -m - 5*a + 29 = 3*m. Which is bigger: 4\/39 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102.8 - 102.793773. Round d to 4 dps.\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -420, -202, 16, 234?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36358 - 34954. What is the smallest common multiple of 270 and s?\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmphppvhvjph. Give prob of picking 1 m and 1 p.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-112)\/(-18)*(548\/(-822) - (-10)\/(-12)) and 23\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1908*c = 1934*c - 156 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(42)\/sqrt(112) + sqrt(6))*2 - (2*sqrt(150) + sqrt(150))\/(sqrt(18)\/sqrt(6)*-2))**2.\nAnswer: 11449\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -979, -2275, -3865, -5749, -7927?\nAnswer: -10399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.804555ns to seconds.\nAnswer: 0.000000009804555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**6\/60 - 101*p**5\/8 + 501*p**4\/4 - 1499*p**3\/3 + 998*p**2 - 2*p + 2907. Factor a(i).\nAnswer: (i - 499)*(i - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*i - 139 - 269 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/34 - -89\/238. Let x = -5\/2 - -4. Let a = -0.246 + 0.146. What is the closest to j in -0.2, a, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 9 = -5*s, -12 = -0*s - 4*s. What is the remainder when (-198)\/z + (-1)\/(-2) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2\/7 (c) 3 (d) 6 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-9))\/(190\/(-247)*-65)\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 0. Which is the closest to -1\/4? (a) q (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 1094114?\nAnswer: -8\/547057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = h + 12. Suppose 5*z - 2*n - 133 = -5*n, -5*z = -3*n - 127. What is the second derivative of -14*y + 5*y - z*y**2 - h*y wrt y?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 8:43 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10111 + -1210?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -751, -0.6, -6, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 604, 1176, 1710, 2200, 2640, 3024, 3346?\n\"Answer: -c**3 - 13*c**2 + 618*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3)*p)**(-1))**17 assuming p is positive.\nAnswer: p**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r - 1. Determine t(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 103 in -3, -0.3, 4\/3, 0.25?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15090.68 - -15091.07999952. Let b = 0.4 - x. Round b to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 31. What is c in 0*c + 0 - 1\/2*c**z = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 = -3*l - 5*y, 2*y + 343 = 5*l - 13. Let s = 168 - l. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000733 rounded to 5 dps?\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1718068 and 4576.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 92067.84ml?\nAnswer: 92.06784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -359 + 487. What is the derivative of 85 + i - 115 + 189*y**3 + 104 wrt y?\nAnswer: 567*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2733741?\nAnswer: 3, 303749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - (-1 + -6)) + -4. Factor 0*h**4 + 3*h**4 + f*h**4 + 5*h**3 + h**3.\nAnswer: 3*h**3*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 307 (base 9) to base 2.\nAnswer: 11111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32.35 in -4, 1, -3, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 11 + -15 + 38.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1226?\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1126 + -2786. Let m = j - -2363. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -u - 2*c, -8 = 4*u + c - 5*c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.503 + 0.103. Let x = -11 - -16. Which is the third biggest value? (a) d (b) -0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -19.796 and -2?\nAnswer: 17.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.16 + 18.84. Let f = 37 - o. Let c = f - 16. What is the biggest value in -5, 0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79394378 a multiple of 2108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 7*a**2 + 5*a - 9. Let j be c(7). Let o = j + -21. Let i = 2 - -2. Solve 6 = o*k - i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2076.9846 months?\nAnswer: 1.7308205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 494, 4221, 14366, 34139, 66750, 115409, 183326, 273711?\nAnswer: 389774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9392.26 * 6.8.\nAnswer: -63867.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22.7 - 23. Put w, 3\/7, 2\/5 in ascending order.\nAnswer: w, 2\/5, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 d when two letters picked without replacement from {x: 1, d: 2, y: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in -4, 299, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1005 - 686. List the prime factors of k.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 8. What is the third derivative of -6*b**3 + b**2 + n*b**2 + 0*b**2 - 6*b**2 wrt b?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 32*w**2 + 203*w - 487. What is k(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 271 + -255. Suppose -3*v + y = 3*f - 2*v, 3*f - 20 = -2*v. Solve 5*i - i + 24 = -4*k, i = 4*k + f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 1. Let f be g(-4). Suppose 917 = 7*c - 21. Suppose -5*a = f*s - c, 0 = 4*s - 0*s + 3*a - 197. Calculate the remainder when s is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-4 + 0 + 2)) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 165091210256458401\/29192 + -5655357982681. Let g = y - 79200\/89. Let b = -34\/41 + g. Calculate the common denominator of -37\/10 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 - 10*j + 11. Is m(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 2*n = 4, 5*v + 38*n - 37*n = 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - 6*k**2 - 21*k**2)*(0*k + k - 16*k)*(k + 0*k - 2*k).\nAnswer: -405*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41.28 + -1.28. Let h = 39.5 - f. Which is the third smallest value? (a) 1 (b) h (c) 0.3 (d) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*u + 1750, -c + 1154 = 4*u - 601. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b2 + -ad48?\nAnswer: -ab86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79279?\nAnswer: 79279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a gram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/23)\/y)**(-6\/19))**(-2\/35) assuming y is positive.\nAnswer: y**(-60\/3059)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 505452967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1601140 rounded to the nearest ten thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*3745911.\nAnswer: 1123773.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 504 = -14*s. Let y = -35 + s. Does 21 divide (y\/4*7)\/(38\/456)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -390*o - 783*o**2 - 396*o**3 + 101*o**4 - 222*o**4 + 118*o**4 = 0.\nAnswer: -130, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5549\/3879 + -6\/431. Let o = s + 43\/9. What is the common denominator of 5\/2 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - 15*k - 24. Let q be x(-5). Let d(l) = 2*l + 4. Give d(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*f = 34*f + 22136. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*b**3 + 53*b**3 - 29*b**3.\nAnswer: 73*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-0.2250965.\nAnswer: -0.0450193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -189.80933 to 1 dp.\nAnswer: -189.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -34. Let j(h) = h + 3. Let u(a) = 2*a + 6. What is m*u(g) - 11*j(g)?\nAnswer: g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + 10 + -23 - (-13 + -5).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*i - 3929 = 0, -2*i - 2*i + 1556 = 2*p. Suppose -180*k + 188*k = p. Is k a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 2340.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139771886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b. Let c(i) = -i**2 - 3*i - 3. Let v(s) = -2*s**2 - 5*s - 5. Let d(y) = -10*c(y) + 6*v(y). Calculate r(d(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6)*(-50)\/200*-27.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 1, -2*p - 245 = -2*l - 3*p. Let o(n) = 21*n**2 + 2*n + 3. Let i be o(-2). Let b = l - i. What is the greatest common factor of b and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**5\/90 + i**4\/12 - 4*i**3\/9 - 7*i**2 + 14*i. Let r(y) be the first derivative of o(y). Let r(h) = 0. What is h?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g**2 - 3*g + 5 - 3)*(476*g**2 - 816*g**2 + 447*g**2).\nAnswer: 214*g**4 - 321*g**3 + 214*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 757 in 1, 0, 5, 2, -7\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1297*f + 21794 = -1295*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 609505 and 260?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 6872.602?\nAnswer: 6872.602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 3 (c) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4773582 centuries to millennia.\nAnswer: 0.04773582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23796442 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/3*x**5 + 3*x**3 + 0 + 1\/3*x**4 + 4\/3*x + 11\/3*x**2 = 0. What is x?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137726 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -256, -259, -262, -265?\n\"Answer: -3*i - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/(-1495))\/(((-8)\/(-24))\/(20\/(-6)))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -8. Suppose -g = 4*f + 14, -4*g + 5*f + 24 = f. Let o(i) = -i**3 - 1 - g*i + i - i - z*i**3. What is o(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 5*l - 70. Let w = l - 11. Determine c, given that 4*c**2 + 80*c**3 + 2*c**5 - 70*c**w + 8*c**4 + 0*c**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54 - 2*s + 58 + 8*s)*((2 - 1 + 1)*(3*s**2 + 5*s**2 - 3*s**2) + 3*s**2 - 4*s**2 + 2*s**2).\nAnswer: 66*s**3 + 44*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 6:56 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6 + 147\/28 + 1)\/((-190)\/65) and 1\/440.\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1491 + -1487. Let h = -0.06 - -0.1. Put t, h, -1\/4 in increasing order.\nAnswer: -1\/4, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 2*n - 2*n. Let b(f) = f - 1. Let j(q) = -q. Let v(p) = b(p) + 5*j(p). Let u be (-3 - -1)*(-3)\/(-2). Give u*h(l) - v(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*l + 2706 + 1929 = 0 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1626*f + 229351. Calculate r(141).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**6\/120 - a**5\/20 - a**4\/8 - a**3\/3 - 31*a**2. Give j(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 8 = -q, -5*q = 5*u - 4*u + 12. Let o be 2\/(168\/(-92)) - 4\/(-6). Which is the fourth biggest value? (a) 2 (b) o (c) -1\/2 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5881*c*q**4 - 168*c*q**2 - 2*c*q + 142278233*c - 11*q**3 - 2*q wrt q?\nAnswer: 70572*c*q**2 - 336*c - 66*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyty when four letters picked without replacement from yhwty.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/2 - ((-5 - -15) + (-1040347)\/74305). Suppose 6 = -3*t + 2*q - 4*q, 12 = -4*q. Is b bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdonouhv. Give prob of sequence do.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -22*d + 8. Let r(j) = -2*j. What is h(r(c))?\nAnswer: 44*c + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 43024224 (base 6) to base 3\nAnswer: 2101011212021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 751\/56 - 105\/8. Let u be (-310)\/560 - ((-23)\/(-8) + -3). Let l be -2 + 2 + 2 - 13. Which is the fourth biggest value? (a) u (b) h (c) -4 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 11847666*k**2 + 3*k - 11847667*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122 and 46482?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*j - 17*j - 21. Suppose 1 = 2*w - 7. What is the least common multiple of j and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 56?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -480, -434, -366, -282, -188, -90, 6?\n\"Answer: -u**3 + 17*u**2 + 2*u - 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 9:13 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2291 divided by 1.\nAnswer: -2291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3523 - 2557. Let h = v + 8951. Suppose -6*b + 4035 + h = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1634132 and -6.\nAnswer: 9804792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k - 9 + 9 + 3 - 3 - 2*k + (-2 + 4 - 3)*(2*k + k - k) + 5*k - 2*k - 4*k + 0 + 0 - k.\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 102*((-4)\/(-8) - 0). Suppose 5*f - 34 = w. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.7466232s?\nAnswer: 746623.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3081 + -143?\nAnswer: 2837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211535*w + 211535*w + 321 - 1691 - w**2.\nAnswer: -w**2 - 1370","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 0*z + 5*z + 21*z + 47 + 34 + 9. What is the thousands digit of t(51)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0119925 rounded to four decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1707, 1, 5, 4, -542, -1 in decreasing order.\nAnswer: 5, 4, 1, -1, -542, -1707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/1457586 and -95\/216?\nAnswer: 17491032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3110, -25, -3, -0.4, 1\/4.\nAnswer: -25, -3, -0.4, 1\/4, 3110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*z - 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1910 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1633033953?\nAnswer: 3, 101, 433, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 + 74 = -6*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 93\/20*s**5 + 0*s**4 + 2 + 0*s**3 + 67\/2*s**2 - 3*s. Differentiate v(z) wrt z.\nAnswer: 279*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8010, -1, -322 in ascending order.\nAnswer: -8010, -322, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 80460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 626 (base 9) to base 15.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8 - 0.4. Let w = -0.2 - l. Let y = -12455 + 12456. What is the nearest to w in -0.5, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1225896 to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8765103?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 0)*((-90)\/20 + 4). Suppose 9*m - m - 24 = s. Suppose 0 = 7*z - m*z - 8. Solve 0 = z*p + l - 13, 5*p + l - 13 = 5*l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.51272 - 1.\nAnswer: -0.48728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.67 (b) -6 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - t - 2. Let g be p(2). Suppose g = -5*v - 0*v. Suppose a = 4*a - 15, -5*d - 4*a + 115 = v. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30434324 + 1?\nAnswer: 30434330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - (sqrt(72)*1)\/sqrt(6) - (sqrt(12) - sqrt(588)*-2))\/((sqrt(180)\/sqrt(5))\/sqrt(6) + sqrt(294)*-1).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4) - (-60)\/8. Suppose -13 - h = -4*k. What is the second derivative of 3*y**4 + 0*y - k*y**4 - y wrt y?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**6\/120 - o**5\/15 - o**4\/24 + o**3\/6 - 3*o**2. Let q = 17 - 21. Calculate s(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 25*w**2. Let g(y) be the third derivative of -7*y**4\/24 - 262*y**2. Determine g(r(f)).\nAnswer: -175*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 225679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + 1 - (-100 + (305 - 232)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16454267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*i - 6*i - 132, -5*i - 154 = -g. Let n be ((-4)\/5)\/((-6)\/i). Let t = 9 - n. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81 (base 15) to base 7.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-2)*1\/(-3). Let p = 61\/4 - 15. What is the smallest value in l, p, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 4*s + 4 + 5*s**2 - 3*s**2 - 2*s. Suppose 2*g - 2*n = -0*g + 38, 2*n = -10. Suppose -2*a = -3*h + 11, 3*a + 2*a + g = 3*h. Give p(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a51aa4 (base 12) in base 14?\nAnswer: -4b7b40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-18)*(46\/(-52) - -1).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z - 4. Let n(m) = 6*m - 14. Let l(v) = 7*g(v) - 2*n(v). Let s(a) = -a + 293. Give l(s(k)).\nAnswer: -2*k + 586","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 604100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b + 1346 = 22*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -870*z - 378. Is 28 a factor of m(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00093667883 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0599 - -130.4401. Let d = r - 130. What is the fourth smallest value in -0.5, -11, d, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*x**5 + 2324466*x**3 + 308309*x - 57.\nAnswer: -200*x**3 + 13946796*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3350, -6708, -10080, -13466, -16866, -20280, -23708?\nAnswer: -27150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 86138.53um in meters?\nAnswer: 0.08613853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -327706686 times 5?\nAnswer: -1638533430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*j**3 + 2 + 5*j**2 - 3*j**2 + 26*j**3 + 31*j**3 in the form o*j**2 + r*j**3 + c*j + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 459 and 8032194.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from lllwwlllluwuxw.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/5 (b) -60 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i. Let n(d) = d**2 + 4*d. Let a(k) = k. Suppose 9*t = 6*t - 3. Let z(p) = t*n(p) + 4*a(p). What is z(o(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f + 53*f + 4*f + 15*f.\nAnswer: 82*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00486274 to 5 dps.\nAnswer: 0.00486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**2 - 27*s - 22. Let n be b(-1). Let y(u) = 6*u + 3. Let i(m) = -5*m + 7. Let r(v) = v - 1. Let h(j) = -i(j) - 6*r(j). Determine n*y(a) + 5*h(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 255\/(-30)*(-1 + 15\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 652?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1960646, -1960680, -1960714, -1960748, -1960782?\nAnswer: -1960816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2088\/1827*91\/(-1300)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1619 + -595. What is the highest common factor of 16 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5588*i + 1619*i - 428652 for i.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000227384 to six decimal places.\nAnswer: -0.000227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-6 + 5 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 545279?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c. Let w(z) be the first derivative of 5*z**2\/2 + 3*z - 1. Suppose 270 = 37*r + 48. What is r*b(t) - w(t)?\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 243 + -156. List the prime factors of t.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**4\/30 + d**3\/15 + 2*d**2\/5 + d. Let q(z) = 0. What is z?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1028207*c**2*d**2*f**2 + 880*c**2*d*f**2 - 3*c**2*f**2 + 2*c*f**2 + 54*d*f**2 wrt d.\nAnswer: 2056414*c**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -130\/19 - 405\/38. Suppose -3*y - 9 = 3. Calculate the common denominator of n and (5\/25)\/(y\/(-375)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10244 - -1?\nAnswer: -10243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 + 21 = 20*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 2*t + t - 280118, -4*t + 1027061 = 11*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from {b: 1, u: 2, f: 1, r: 2, z: 1, p: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8*f + 1012. Let k(b) = 37*b. Calculate a(k(g)).\nAnswer: -296*g + 1012","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15230063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2196 (b) -1 (c) 2\/7 (d) 0.2 (e) 4 (f) -56\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 9:18 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 79, 525, 1729, 4069, 7923, 13669, 21685?\n\"Answer: 63*c**3 + c**2 + 2*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5046*h**3 + h + 6 - 5220*h**3 - 6 - h.\nAnswer: -174*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -8. Suppose 4*x - 8 = -b*x. Let p(f) = -f**2 - f. What is p(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530535 = -18*c + 62*c - 1559783. List the prime factors of c.\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 33 (b) 60 (c) -520\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 10:37 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 344, 1\/5, 0.4, -2\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 5*d**2 - 3*d + 4. Let g be y(2). Suppose -14 = -5*b + 4*l, g = 5*b - 2*l + l. Calculate the greatest common divisor of b and 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117219665.\nAnswer: 5, 103, 227611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 469969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 2)*(2 - 3 + 4)*(-2*h + 28 - 28) to z + a*h and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -18b5c (base 13) in base 12?\nAnswer: -239a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004580895668 rounded to 7 dps?\nAnswer: -0.0045809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 11*a + 2. Suppose -8*g + 4*g + 30 = 5*c, 2*g - 2*c = 24. Calculate n(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) - (sqrt(120) - (sqrt(120) - sqrt(120)*3))) + sqrt(120))\/sqrt(12))\/(sqrt(300)\/sqrt(6)) + -5*((sqrt(25)\/sqrt(5)*1)**2 - (1 + sqrt(605))).\nAnswer: -20 + 274*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 28. What is the nearest to 2\/7 in 0.1, u, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7981*k + 5*t - 2528 = -7980*k, -2496 = k - t. Is -2489 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113508?\nAnswer: 2, 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3262371*a**2*z**2 + 6870604*a**2*z wrt z?\nAnswer: -6524742*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14989598 or 14989616?\nAnswer: 14989598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by -36.\nAnswer: 13\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 4*f + 7*f)*(4 - 1 - 1)*(-3*f**2 + f**2 + 3*f**2).\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 9. Let f = -10 + 18. Give q(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51672799 a multiple of 4541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -501, -1040, -1593, -2166, -2765, -3396, -4065, -4778?\nAnswer: -5541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 82 - 37. Let u = 2 - 2. What is the lowest common multiple of 9 + u\/(2 - 0) and h?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**6\/40 + 2*u**3\/3 - 13*u**2 + u. Let b(k) = k**3 + 1. Calculate -5*a(f) + 20*b(f).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -19. Let y = 18 + t. Solve y = -3*i - 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/39164802 and 115\/66?\nAnswer: 430812822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 21. Solve -2*d - x = -5*x, 8 = -3*d - a*x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116 + -72. Calculate the remainder when i is divided by (-3)\/(11 + 2408\/(-215)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**4 + 5*l**4 + l**4)*(-2*l + l - 6*l).\nAnswer: -14*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 31*a**3\/3 - a**2\/2 - 365*a. Determine z(1).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 32\/5 of a millennium?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-10)\/s)\/s)\/(s**(-2\/9)\/s)*s**(-1\/38)\/((s*(s\/(s*s\/s**(-8\/5)*s))\/s)\/s) assuming s is positive.\nAnswer: s**(-8899\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3146069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*h**4 - 20*h**4 - 38*h**4 - h**4 - h**4 + h**4 + (-h**3 - 5*h**3 + 4*h**3)*(-2*h + 2*h - h) + h**4 + 2*h**4 - 2*h**4.\nAnswer: -37*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0784 + 1.0784. Let p = -92 - -92.01. What is the nearest to p in f, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25, 56, 111, 202, 341, 540?\n\"Answer: 2*v**3 + 17*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -64.8932892 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 4*y**2 + y - 3. Let t be u(-3). Suppose -1 + 16 = t*l. Suppose -580 = -6*m + l*m. What is m rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40304, 160832, 361706, 642920, 1004468, 1446344?\nAnswer: 1968542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126 + -125.846. Let n = -0.0749 + 0.1289. Let f = n - g. Which is the third biggest value? (a) f (b) 6 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18474 - -554071\/30. Suppose -n = 4*d - 2*d - 24, 2*n - 66 = 5*d. Calculate the common denominator of -5 + 1 - (-270)\/n and z.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49368095 rounded to two dps?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 186996.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - ((-12)\/(-18) + 7))\/(12*11\/264)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10184785?\nAnswer: 5, 13, 17, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41 and 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, k: 5, m: 3}. Give prob of picking 2 m, 1 l, and 1 k.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**3*r + 9*h**3*t - 39595*h**3 - 294*h**2*r*t + 17415*h*r wrt h?\nAnswer: -12*r + 54*t - 237570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74426620.\nAnswer: 2, 5, 23, 137, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3 - 82*w**2 + 7850*w - 113750 = 0. What is w?\nAnswer: -91, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 4018?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -18*q**3 - 14*q**2 - 14*q - 6. What are the prime factors of v(-5)?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*j**3 + 164*j**2 - 523*j**4 + 526*j**4 + 204*j + 120 - 38*j**2.\nAnswer: 3*(j + 2)**3*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -24668*w**3 - 5*w**2 - 4*w - 3. Let n be f(-3). Suppose -12*i + n = -3*i. Round i to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-7)\/28*-36?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 4*d**2 - 4*d + 3. Let u be o(-5). Let m be 0\/u*1\/(-2). Suppose m = -4*q + 2*q + 6. Solve -q*f + 3*g = -0*f + 9, 3*g = 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2224?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m = 5*z + 10, -5 = -m. Suppose f = 4 - 1. Suppose -f*u + 11 = 2*l, 4*l - z*u - 1 - 29 = 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/6*(-18)\/(-15). Suppose p - 2*p = -w*t + 342, -t - 4*p = -101. Is t 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) 3 (b) -1\/28 (c) -2\/3 (d) 0 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*o - 5, -3*m + 5*o + 18 + 5 = 0. Let i(y) be the first derivative of m + 3*y + y**2 + 2\/3*y**3. Calculate i(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 32 + -34 + (-1 - -17) + 0 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a centimeter in micrometers?\nAnswer: 74000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 6*o + 4*o)*(31 - 14 - 18).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrfrrrrrrfrrfrrr. What is prob of sequence rfrr?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 38 - 30 = -4*b, 4*b = 4*l - 36. Solve m + 1 = 2*m, -3*m = 5*z - l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -55 in -2, 154, -5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/5 - 1062752*s\/5 - 282360453376\/5.\nAnswer: -(s + 531376)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 + 4*b - 1. Let a(t) = 5*t**2 + 9*t - 2. Calculate -2*a(g) + 5*m(g).\nAnswer: 5*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (1 + (-357)\/(-14) - -2)*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.074 + -46833873.\nAnswer: -46833873.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -98703948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 149676, 149680, 149684, 149688, 149692?\n\"Answer: 4*v + 149672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**4 - 1530432*a**3 + 6121741*a**2 - 4591308*a = 0.\nAnswer: -1530436, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004931478 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*s**2 + 1806*s - 1806*s.\nAnswer: 29*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 7. Let d be c(0). Let y = d - -9. Let v(u) = 5*u - u - 3*u - y*u. Let n(q) = 2*q. Calculate n(m) + v(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 718190243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 + 52*q**3 - 54*q**2 - 52*q + 53.\nAnswer: (q - 1)**2*(q + 1)*(q + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/7)\/h)**28 assuming h is positive.\nAnswer: h**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98)*4 - (0 + sqrt(2)*-2).\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 51? (a) 0 (b) 0.2 (c) -57\/2215\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 2. Let z(y) = -y**2 + 1. Let p be -3 + (-30)\/(-6) + -1 + 1. What is p*z(v) + s(v)?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.930007372 + 1.93. What is k rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -7. Suppose -d - k = d. What is the remainder when 0 - d - 1*-23 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 8. Suppose 4 = -0*g + g - 3*w, 2*w = -2*g - 16. Let z be d(g). Let 3*s**2 + 6*s + 1 + 2 - z*s + 3*s = 0. Calculate s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -44, 12, 1 in ascending order.\nAnswer: -44, -1, 1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1172 is divided by 334.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Let j be (-4 - -6) + -4 + p. Let u(g) = g + 5. Calculate u(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -746*l**3*u + 8*l + 141*u wrt l.\nAnswer: -4476*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(288) - (0 + sqrt(288) + 5))*-4)**2 + -2.\nAnswer: 9998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-7 + (15 - 7)). Let c = 20 + -17. Let o(a) = 3*a**2 + a - 6*a**2 + a**3 + 0*a**3 + c. Calculate o(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/15 + (-18676)\/(-35). Let d = y - 266. Calculate the highest common divisor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3069*c**3 + 1383 wrt c?\nAnswer: -9207*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tqnsqqqnnstq. What is prob of sequence qss?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 338 plus -3091.0807?\nAnswer: -2753.0807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -33, 7, 3, -80, -5, 2 in ascending order.\nAnswer: -80, -33, -5, 2, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-1))\/(2\/(-4)). Solve 5*p + 10 = -u, r*p - 3*u = -7*u + 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 9236405*c**2 - 27709170*c.\nAnswer: -5*c*(c - 1847278)*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 416.762 + 6.238. Which is the nearest to -1? (a) 1 (b) -2 (c) w (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 2522 = -2540 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 3:21 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 276 in decreasing order.\nAnswer: 276, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.65 + 16.55. Sort 4, 2, 4\/89, x, -2\/17.\nAnswer: -2\/17, x, 4\/89, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l**2 - 23*l - 107. Let j be c(-5). Let i be 130\/18 + ((-552)\/j)\/23. Solve -3*p + 12 = -i*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 - -62. Suppose -5*m + 4*n = 5*n - 26, n - c = 0. Suppose -4*f = -3*z + 4*z + 10, 17 = z - m*f. Calculate the smallest common multiple of 18 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -86.\nAnswer: -5\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (0 - -8) - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(1\/4)*u))**(4\/25)*(u**(-2\/7)\/u)**(-5))**(-1\/38) assuming u is positive.\nAnswer: u**(-552\/3325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ietteeztziaaa. Give prob of picking 1 a and 3 e.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 262 - 172. Let q = 99 - o. Suppose q*y + 22 = 58. Solve -y*d + 0*g - 2 = 2*g, 4*d + 3*g + 5 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(6*-6*(-1)\/3). Let w = 945 + -19850\/21. Let y = w + 19\/21. What is the smallest value in y, h, -4\/5, -0.4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 780 divided by -195?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 47 + 0 = -4*j, 12 = 4*j. Suppose -16 + 3 = -5*o + 4*c, 0 = -5*o + c + s. Let p be 3 + 2*(-1)\/2. What is the highest common factor of o and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -64, 13.49, -15, -0.015 in increasing order.\nAnswer: -64, -15, -0.015, 0, 13.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 854*a - 416*a - 17285 - 436*a in the form r + q*a and give r.\nAnswer: -17285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-4))\/(1\/(-4)). Let o(d) = 2*d**2 - 24*d - 4. Let b be o(12). Is b at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/341 - 313\/2387. Let g = 0.013 + 0.387. What is the fourth biggest value in g, z, 2\/13, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52336 - 31212. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 2*p**2 + 2*p + 11. Let n be x(0). Let t = n - 9. Let y be (27\/9)\/(2\/t). Solve -y = -5*u + 8*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 3:44 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 63*n + 1577. Let b be f(86). What is the greatest common factor of 180 and b?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1995*30*3*35\/60.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyy when three letters picked without replacement from {y: 2, w: 2, j: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((126\/12)\/((-3)\/(-2)))*-14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2141, 4290, 6439, 8588, 10737, 12886?\nAnswer: 15035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 - 10660246 - 8*d**3 + 10660246.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/6)\/((-1)\/10). Let r be 1\/(-5) - (-84)\/(-30). Let q(t) = t + 5. Let i be q(r). Which is the smallest value? (a) i (b) -0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**3 + g**4 - 3*g**3)*(0 + 0 + 1) + 2*g**4 + g - g + 21*g**4 - 47*g**4 + 12*g**4 in the form p + s*g + i*g**4 + h*g**2 + a*g**3 and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 2. Suppose -3*a - 20 - 10 = 0. Let b(w) = w + 9. Let v be b(a). Sort v, r, -5 in decreasing order.\nAnswer: r, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 290798310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -198991\/5 + 39549. Let y be (31\/(-11) - -3) + (-2221502)\/(-8910). Let u = y + x. Calculate the common denominator of -5\/8 and u.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*c - 380 = 166*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 31*x. Let i(d) = 10*d. Let o = -32 - -20. Let r(z) = z. Let y(p) = o*r(p) + i(p). Determine j(y(k)).\nAnswer: -62*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 1:06 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6508 = -383*d + 527 - 1296 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 6*d - 1. Let c be v(-5). Solve 3*h = -2*i + c, 12 = 2*i + h + 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 157*d**2 + 1 - 3*d - 4 + 154*d**2. Let w(y) = -y**2 - y - 1. Determine -b(h) + 3*w(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 266 - 260. Let i be (6 + -4)\/((-13)\/(-1)). Is q at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 566*r - 569*r + 44 = 4*i, -i + 20 = 3*r. Solve -r*u + 30 = -5*p, u = -p + 42 - 39 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 21*p + 1617. What is y(-31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -499.0257 - -0.8675\nAnswer: -498.1582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**(14\/9)*y**(-1\/9)\/(y*(y**(-3)\/y)\/y*y)*((y**(3\/5)\/y)\/y*y*y**(-2\/7)*y)**(3\/13) assuming y is positive.\nAnswer: y**(12127\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-3 - 18) + 23 + 44?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(5\/3))\/j*j*j*j**(-7))**4)**(-3\/10) assuming j is positive.\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12649, -12647, -12645, -12643, -12641, -12639?\nAnswer: -12637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 13832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-408)\/255*10*((-15)\/(-12))\/(-5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1738 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*1*sqrt(90) - sqrt(90))\/(-1*2*sqrt(6)))\/((sqrt(24)\/sqrt(128) - sqrt(135)\/sqrt(5))*5).\nAnswer: 8*sqrt(5)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -8.1. Let j = y + -0.7. Which is the nearest to 2? (a) -5 (b) j (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92704 divided by -11588.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 7*w = -5*w + 1, 3*w = 3*u - 24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by (-5 + -1)\/(2\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0956 + -3.0956. Let n = 11 - 7. Let m = -3 + n. Which is the biggest value? (a) x (b) -4\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + w - 1. Let g(n) = 15*n**2 + 4*n - 7. What is -g(v) + 4*p(v)?\nAnswer: -11*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.2588 to the nearest integer.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2795803 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0039809754 to 5 decimal places.\nAnswer: -0.00398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 + 7. Let o = x + -177. Let k = -104.4 - o. What is k rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 - 13*x**2 - 5*x - 12. Let f be a(7). Suppose 0 = s + 4*r + 2, 11 = 4*s + f*r + 5. Solve s*u + 4 = 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 742430, 1484855, 2227260, 2969639, 3711986?\nAnswer: 4454295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -22*z - 112. Let w be n(-12). Do w and 152 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - g + 3*g - 24, 3*g - 26 = -5*p. Suppose 0 = 2*r - p - 6. Solve r*b + 30 = 5*z, 0*z = -b + 2*z - 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.06 (b) -6 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 8725*p**3 + 3*p**2 + 5*p - 7. Let q be a(-3). Round q to the nearest 1000.\nAnswer: -236000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.59 + -0.31. Let x = q - -2.5. Which is smaller: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m - 3. Let v be o(2). Suppose -2*y - 18 = -v*n, 0 = -4*y + 4 - 0. Is (n - 2) + -2 + 77 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -4)\/((-8)\/32). Let p = 41 - 15. Let m be p\/4 + 24\/g. Sort m, 2, -20.\nAnswer: -20, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 + 0*h**3 + 0*h**3 + 2*h**4 + (0*h**2 + 0*h**2 - 2*h**3)*(-2*h + h + 4*h).\nAnswer: -4*h**4 + h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22201 + -100011?\nAnswer: -122212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (-1)\/3*-1. Let r = -120.3 - -120. Which is the biggest value? (a) g (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r - 5*r**3 + 347602 - 347605 - 14*r**3 to m*r**3 + a*r + w*r**2 + f and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -b + 3*b - l, l + 3 = 0. Let r be b\/(2 - 6\/4). Let t(n) = -12*n + 5. Is t(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*j**3)*(-3 + j + 3) + (0 + 1 + 0)*(-2*j**4 - 4*j + 4*j)*(11 - 6 + 5)*(0 - 1 + 2) - 4 - 14*j - 2*j**4 + 14*j.\nAnswer: -24*j**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = t - 6*t + 59, -205 = -3*l - t. What are the prime factors of l?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119866558?\nAnswer: 2, 7, 17, 113, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -900764? (a) 0.2 (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 367010759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.057 + -0.343. What is the fourth smallest value in -0.2, w, 5, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b + 11. Let y(s) = -s - 5. Let k(c) = 3*r(c) + 5*y(c). Let d be k(-12). Sort -2, d, -5, -3 in decreasing order.\nAnswer: -2, -3, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 12 = 7*n. Suppose -2*o = -0*o - n. Solve -o = -4*y + y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 222 + -166. Suppose 0 = -19*v + 5*v + t. Solve 2*o + v*s = -26, -3*o + 4*s + 14 = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -0.4 (c) 2\/19 (d) 66\/65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -44 - (33 + -19 + 22 - 37)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 2*f - 1 + 6*f - 4*f. Let v(s) = -6*s**3 - 2*s**2 - 2*s - 1. Suppose 7*w + 4 = 3*w. Let d be v(w). What is z(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69\/((-19458)\/8554)*12\/(-14).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**3 - 2*a**2 - 8*a + 8. Let c be h(4). List the prime factors of -2 + 0 + (c - -2 - -5).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 909, 2, 5, -4.\nAnswer: -4, 0, 2, 3, 5, 909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 37\/6*m**3 + 35*m**2 + 0*m + 0 - 1\/6*m**4. Let z be o(8). Solve z + 20 = -5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4547?\nAnswer: 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3 - 2*k - 3. Suppose -2*c = -0*c + 2*o + 2, -5*c + 2*o - 26 = 0. Let f be c\/5*20\/(-8). Calculate y(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676*p + 708*p + 1024 = 0 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) -16.87 (c) 79\/2 (d) -0.13 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**5\/20 + s**4\/2 - s**3\/3 + 7*s. What is f(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -21669, -2, -5, 16 in ascending order.\nAnswer: -21669, -5, -2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -29336 and -88009\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*y + 102 = 0, 53 = 2*d - y + 4*y. Suppose 0*l + 5*b - 15 = -4*l, l = 3*b + d. Solve -18*z + 16*z - l = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122\/61*(2 - 0 - -3962)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 11*c**2 + 10*c - 22. Let d be w(8). Round d to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 1. Let a(h) = -h**2 - h - 1. Let b be a(-2). Let j be k(b). What is the first derivative of 0 - 4 + 2*o**2 - 5*o**j wrt o?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1192, -1175, -1158, -1141?\nAnswer: -1124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -12*l**2 - 2*l + 13. Let k(m) = -m**3 - m**2 + m. Let r(x) = -d(x) - k(x). Is r(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*n - 532 = 186 - 106 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4 - ((-11)\/4 - 1). Let s be ((-1)\/(-3) - -1)\/((-16)\/192). Let i be -4*o\/(s\/23). Solve 0 = 3*y + k - 14, -5*y + k - 5 = -i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/197203 and -45\/4.\nAnswer: 788812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -11. Let c = 3.5 + a. What is the closest to -3 in -0.2, 0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78573 is divided by 644.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/4, -2, 7081?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 476 divided by 238.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 15. Let r(k) = k**2 - 1481*k + 4439. Calculate the remainder when j(0) is divided by r(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 102819979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -37937.52823?\nAnswer: -37937.42823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8607 is divided by 711.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 695147\/1272 + 1\/1272. Let r = -519 + x. Calculate the common denominator of r and -53\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 301124 and 94328.\nAnswer: 3628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b3 (base 13) in base 2?\nAnswer: 1010001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnbmn. Give prob of picking 2 m and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 324, -26, -1, -6 in decreasing order.\nAnswer: 324, -1, -6, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -691\/17441 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 5:31 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 9. Let c(f) = -1. Let v(h) = h + 4. Let r(d) = j*v(d) - 4*c(d). Let i(o) = o**2. Give i(r(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13795 = -937*x - 30238 + 8427 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 20*s**4 + 16*s**2 - 16*s - 58. Let z(b) = 7*b**4 + 5*b**2 - 5*b - 19. Let t(x) = 5*f(x) - 16*z(x). Differentiate t(o) with respect to o.\nAnswer: -48*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*u + 5\/2*u**3 - 15\/2*u**2 + 5\/2*u**4 + 5.\nAnswer: 5*(u - 1)**2*(u + 1)*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -b. What is the second derivative of -4*s**5 - 3*s + 3*s + 2*s**5 - b*s wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17793?\nAnswer: 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 486792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 7 - 17 = 0. Suppose 0 = 5*u - l*u + 1248. Does 52 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1688274231 to the power of 1\/3, to the nearest integer?\nAnswer: 1191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 8:51 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1324 is divided by 264.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -131749*r**3 - 6*r**2 + 3682677*r?\nAnswer: -790494*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j - 37 = -10*j + 3. Let v = -2193212\/15 + 146142. Let w = -72 - v. What is the nearest to 1 in w, 11, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -6\/35*q**5 + 0*q**3 + 0*q**2 - 1\/98*q**7 + 1\/14*q**6 - 4*q + 0 + 1\/7*q**4. Determine z, given that x(z) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10943038255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -1\/6, -0.4, -29, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h - 1. Let z be a(1). Let n(m) = 6 + m - z. Let c(s) be the third derivative of -s**4\/24 + 53*s**2 - s. What is n(c(p))?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 40. Suppose 0 = -2*u + 4*l - s, u + 2 = -u + 3*l. Suppose 2*y - 82 = u*a, -2*y - 3*y = -4*a - 209. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*d - 18 = 12*l + 518*d, -5*d - 14 - 16 = -5*l - 0*d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/241, -0.03, 4\/5, 1 in ascending order.\nAnswer: -2, -0.03, -1\/241, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -d + 8, 6*d - 10*d + 47 = -3*r. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + g + 20. Let j be t(-4). What is the remainder when (-3)\/6 + j - (-3321)\/18 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13450833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 44. Let x be -5*-6*4\/l. Solve 0 = -3*t + 4*t + x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 6*u - u)*(348 - 348 + 36*u + (1 + 5 - 4)*(u - 1 + 1)) to b*u**2 + g*u + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3 + 11\/66. Put 0.5, k, 1\/5, 46 in decreasing order.\nAnswer: 46, 0.5, 1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 61.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 2*v**2 + 1. Let d be m(-1). Suppose d = -2*t + 3*l + 1599994, -3*t + l = -230744 - 2169254. Round t to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 3*g + 3. Let f be p(4). Let v = 670.24 + -680.24. What is the closest to f in v, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d*d\/((d*d**(-9\/2))\/d)))\/d)**(-9)*d**5*d\/d**(9\/5))**30 assuming d is positive.\nAnswer: d**2151","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 3*p - p)*(-2 - p + 2) + 2 - 2 - p**2 + ((3 + 0 - 1)*(2*p + 8 - 8) + p + 0 + 0)*(-5 + 5 + 2*p).\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6494840*c**3 - 151*c**2 - 7037*c?\nAnswer: -38969040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31896859?\nAnswer: 293, 108863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 57907.332\nAnswer: -231629.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3432 - 3412. Solve 4*x - 5*g + 5 = 0, 15*x + c = 14*x - 5*g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmo when three letters picked without replacement from znonzmzom?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/(-35) + 1506*(-264)\/(-28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 416835 divided by 5.\nAnswer: 83367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 472564 + 2*v - 472564.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/21 + 28525\/3675.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (143 + -140)*2\/(-27).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -944 + 948. Suppose 0 = -4*d - d + j*i + 16, 0 = -2*d - 2*i - 8. Sort 91, 5, d, -1 in descending order.\nAnswer: 91, 5, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o. Let v = 16 + -11. Let u(m) = 7*m - 5. Let a(s) = 7*s - 14 + s + 12*s. Let q(r) = v*a(r) - 14*u(r). Determine q(y(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3568490 - -931.8\nAnswer: -3567558.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 73*z + 103. Let p(y) = -218*y - 309. Let r(f) = 7*o(f) + 2*p(f). What is the first derivative of r(t) wrt t?\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9458.3 days in minutes?\nAnswer: 13619952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1895410959 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*o + 49 = 0, -q + o = -36 + 1. Calculate the remainder when 696 is divided by q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.01 - -0.01. Let p = w - -5. Let u be (5\/((-5)\/(-2)))\/(-7). Is u <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 49)\/(3\/(-9)). Let w = -83 + t. Suppose -4*l = -w - 18. Calculate the remainder when l is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**2 + 4*t**3 + 4*t**2 + (464*t - 239*t + 517*t)*(0 + 0 + 2*t**2) to the form r*t + i*t**3 + q*t**2 + w and give i.\nAnswer: 1488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -42*o - 12. List the prime factors of z(-7).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*f + 1 = 0, 34 - 14 = 5*l - f. Factor -4\/9*i**2 - 2\/9*i**4 + 0*i + 0 + 2\/3*i**l.\nAnswer: -2*i**2*(i - 2)*(i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 4:30 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 772*v = -578*v - 31*v - 49716 for v.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 5 (c) -101.379 (d) 1\/3 (e) 2\/11 (f) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10822*l + 10825*l = -5*f - 124, 94 = -4*f - 7*l + 2*l for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26.2 + 26. Let w = l + -3.8. What is the third biggest value in 2, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(272) + 0 + -2 + 2)*-4 + -1)**2 + 0.\nAnswer: 32*sqrt(17) + 4353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + (78\/(-176))\/((-7)\/42) and -53\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126246954 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 4:48 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 28. Does 5 divide (-404)\/(-44) - (-6)\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(63)\/(sqrt(9)*6 - sqrt(9))) - (sqrt(99) + 0 + sqrt(99))*2)*1.\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**3 + 22*w**2 - 23*w - 20. Let p(x) = -x**3 - x + 1. Let t(c) = -g(c) - 4*p(c). Let n be t(20). List the prime factors of n\/(-4*(-4)\/(-8)).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.3 + 0.5. Let t be 4 + (-5766)\/76*3\/54. Let n = t + -2\/57. Which is bigger: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyvvyvyyyyyyyvy. What is prob of sequence vvy?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q. Let f(s) = -2*s**2 + 1266*s - 8. Let l(z) = 3*z**2 - 1900*z + 13. Let y(i) = -8*f(i) - 5*l(i). Give r(y(t)).\nAnswer: t**2 - 628*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssydeedsesqeeesedye. What is prob of picking 1 q and 1 y?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 95, 149, 209, 275, 347?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -3)\/((-2)\/10)*3. Let r be -2 - 2*2\/(-2). Solve -x + 3 = 5*d + 4*h, r = 2*d - 4*h + 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 h, and 1 v when three letters picked without replacement from ghyhyyvyhyggv?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(891)*-3 - sqrt(891)) + (sqrt(891) + -1 + -2 + sqrt(891) - sqrt(891)) - (-2 + sqrt(891) + 0 - (1 + -1 + sqrt(891))))**2.\nAnswer: 108*sqrt(11) + 32077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38\/201 + -271\/4623. What is the closest to 0.1 in 2.8, z, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*y = -2*y + 44, 2*b + 5*y - 27 = 0. What is the remainder when -4 - (20 + 46)\/(0 - 1) is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 52*t**2 + 238*t + 20. Give r(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1115.78 - 1116. Which is smaller: -38 or p?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 - (8 - (-5 - -4)) - (-6 + (13 - 8)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 529.11*-4.\nAnswer: -2116.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4642450 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.188 - 15.888. Let l = -29 - o. What is l rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*l + 20 = 2, 5*l = -5*h + 55. Sort h, -0.3, -0.4 in ascending order.\nAnswer: -0.4, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**5 - 3*o**4 - 4*o**3 + 9*o**2 - o - 1. Let z(x) = x**4 - x**2 + x + 1. Let k(d) = -3*p(d) - 3*z(d). Suppose k(l) = 0. Calculate l.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5262*d**4 + 4998*d.\nAnswer: -63144*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52699 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2275 + -2274.7638. Round q to 2 dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 625 = a. Suppose 2*c - 30*b + 31*b - 63 = 0, -3*c = 5*b - 91. What is the remainder when a is divided by c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - n. Suppose 0 = 4*q - n*q. Is q\/(4\/2) + 37 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**5\/20 - 5*k**4\/24 - k**3\/6 - 186*k**2 + 2*k. Let s(i) = -4*i**2 + 7*i + 2. Determine 7*q(h) + 5*s(h).\nAnswer: h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 763562.8m in micrometers?\nAnswer: 763562800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (220\/(-25) - -7)*(-6 + 896\/156).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = c + z + 8, -3*z + 21 = 3*c. Let f = -4 + -11. Let n = -13 - f. Put n, c, -3 in increasing order.\nAnswer: -3, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*q, -5*l = -3*q - 2 + 5. Let v = l - -2. Is v not equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p - 228 = 40 + 29 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, 4\/255, -3, -9?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -10*w - 20. Let f be v(-4). Let s be (1\/2)\/(10\/f). Let h(r) = 170*r**2 + r - 1. Does 17 divide h(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/((-1)\/(5\/(-2))). Let k be (-333)\/42 - (-28)\/(-49). Is k smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2. Let x(q) be the second derivative of -7*q**4\/6 - 419*q**3\/6 - 92*q + 10. Give x(y(d)).\nAnswer: -56*d**4 + 838*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1762560 divided by -9.\nAnswer: 195840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -32998?\nAnswer: 32995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.112 - -3.312. Which is the second smallest value? (a) -2\/3 (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1050176 by 17.\nAnswer: -1050176\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2258364 to 3 dps.\nAnswer: -0.226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 9*x**2 - 6*x + 12. Calculate the lowest common multiple of 4 and b(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 10180053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -280*1.3.\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 u when three letters picked without replacement from cccccccccccccuccccc?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 64?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 9*n + 1. Give t(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 30 = 5*x, -x = 5*i - 2 + 25. Let r be (6\/12)\/((-2)\/(-8)). Do r and x have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -409536882 divided by -1602?\nAnswer: 255641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 578 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2662 - -2658. Put 4, n, 2, -70 in decreasing order.\nAnswer: 4, 2, n, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1400405736?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-5)\/(-8)) - (-28)\/70. Let b(a) = 183*a - 207. Let j(u) = -915*u + 1034. Let z(d) = n*j(d) + 11*b(d). Differentiate z(y) with respect to y.\nAnswer: 183","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (215 - 232) + 6 + (-7 - -3) + 6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 995\/220 + (-12)\/44. Let g = 7.2 - 4.2. Which is the nearest to v? (a) -1 (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 3)*(2 - 5*y - 1 + 0) to the form z*y + n and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ogvgvvg. What is prob of sequence gvgv?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**2 + 47*d + 15. What is o(-15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -11) + 2\/(-2). Suppose a - 32 = -l. What is the highest common divisor of l and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2 + 0 + sqrt(275) - (sqrt(11)*-1 + -5 + sqrt(11) - 1*sqrt(44)\/sqrt(4)))**2 + 5).\nAnswer: -1230 - 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 h when three letters picked without replacement from {k: 3, b: 4, h: 1}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340*a**5 + 81840*a**4 + 300055*a**3 + 340680*a**2 + 138715*a + 16590 = 0. What is a?\nAnswer: -237, -2, -1, -1\/2, -7\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvvvvvwvwv. Give prob of picking 3 w.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1283667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -65\/2*w**2 + 0*w + 29 - w**4 - w**3. Find the second derivative of v(s) wrt s.\nAnswer: -24*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 15) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 37 + 31. Solve -4*s = -2*s - a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 42 - 30, 3*h = -5*z + 120. Let r(o) = -11*o**2 - 2*o - 1. Let b be r(-1). What is the remainder when (-1354)\/b + 15\/25 is divided by h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**4\/24 - o**2. Let z(t) = -1787*t + 3513*t + 12 - 10 - 1780*t. What is z(v(b))?\nAnswer: 54*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, 5, 2, -0.3, 1\/4, 4\/3 in increasing order.\nAnswer: -1.2, -0.3, 1\/4, 4\/3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8445785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 2*f**2 + 10*f - 4. What is the units digit of h(22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -3 (c) -2\/7 (d) 1 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*x + 384*x - 6 = -v, 3*x - 5 = -2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 6. Is y(-17) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 60*r - 63*r = -11, 0 = 5*l + 3*r - 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 474261581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -14 + (5 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 194132 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -18 + 18 + 3*s. Let k(d) = d**2. Let r(p) = -7*p**2. Let x(t) = -30*k(t) - 5*r(t). Give g(x(u)).\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - (-1 - -4))\/(-2). Let x be (2 - 3)*(-5 - c). Solve 0 = -2*w - 4*f - 12, 0*f = -x*w + 3*f + 22 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-9) - 403\/(-3). Let q = 188 - p. Calculate the greatest common divisor of 18 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/124364 - -64171733\/11317124. Which is smaller: d or 7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/95, 11\/75, -1 in descending order.\nAnswer: 11\/75, 3\/95, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -12*o + 8. Let i be (113\/(-7) + -1)*(-21)\/(-2). Let t be (-135)\/i - 3\/4. Solve t = -3*u - o*c, -u + 4*c + 19 = -c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u - 5. Let l be (-4 + 14\/4)*-8. Let x(f) = 2*f - 5 + 4 + 5. Let h(d) = l*s(d) + 5*x(d). Let j(a) = 6*a**2. Determine h(j(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/44 - (-306)\/(-99). Let r be 0 + (0 - -1) + 6. Let u(l) = 11*l - 7. Let k(h) = 5*h - 4. Let c(y) = r*k(y) + s*u(y). Calculate c(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 a factor of 161763560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 126 = -4*s, m - 14 = 2*s - 28. Let o = -149\/6 - -19\/6. Is m bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g**2 + 88*g + 5*g**2 - 23*g**2.\nAnswer: -3*g**2 + 88*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/53 less than 9\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 2*a - 294, -4*o + 6*o + 3*a - 157 = 0. Suppose o = 3*m - m + 5*v, 3*m + 5*v = 99. What is the least common multiple of 18 and m?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 7.6826088 minutes?\nAnswer: 0.005335145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - (sqrt(704) + 0)**2) + -4 + 2 - -4*(3 + sqrt(704) + 0)) + 5.\nAnswer: -689 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 + 13*y - 4. Let p be m(6). Let d(n) = 16*n**2 + 7*n - 11. Is d(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 76\/21, 2\/19, -1\/2, 1\/11, 4\/9, -0.1, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + (-3 + 2*sqrt(117) + (sqrt(117) - sqrt(117)*2)*3 - -1*(1 + sqrt(117) + 1)))**2 + -5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/(c**(2\/33)*c*c))\/c)\/c*((c\/c**(-6)*c)\/c)\/c*c*(c\/c**0)\/c*c**(-2\/5)*c)\/((c**8\/c*c*c**2*c*c)\/(c\/c**(1\/4))**35) assuming c is positive.\nAnswer: c**(13061\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**7\/35 - 31*z**5\/60 + 4597*z**4\/24 + z**2 + 302*z - 3. Find the second derivative of t(w) wrt w.\nAnswer: 72*w**2 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 m when three letters picked without replacement from {k: 2, t: 9, d: 5, m: 2}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6 = -9. Let t be x + -3*(-1 + 2). Which is smaller: t or -14\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, -512, -853, -1248, -1703, -2224, -2817?\nAnswer: -3488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*p, -p = -15*z + 14*z - 4. Which is the third biggest value? (a) 1 (b) -3\/10 (c) 2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6837*s - 6843*s - 24 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 294929177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 55035 (base 11) to base 13\nAnswer: 2a4a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 5*f + 73 - 51, 4*a + 24 = -4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 1:45 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -22 - -12 - (0 - -8)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(1\/11)*t**(8\/9)*t*(t**(1\/9))**(-25) assuming t is positive.\nAnswer: t**(20\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 greater than 229\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - k - 3)*(-2*k - 4*k + 4*k) + 5*k**2 - k**2 - 3*k**2 in the form v*k + c + r*k**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/7)\/(8\/28). Let f be h\/(-5)*(-8 - 32). Let x(y) = -f*y - 15*y + 32*y. Let g(w) = -6*w. Determine g(x(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from ivz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-6) + 0 + (-868)\/(-168). Suppose 7*q + 8*q = k*q. Solve 2*u = -q*u + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 10*x - 2. Let r(w) = w**2 - 11*w + 1. Let s(p) = 6*h(p) + 5*r(p). Let f be s(2). Solve 4*c - 4*g - 20 = -0*c, 3*c = 5*g + f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 i, and 1 w when three letters picked without replacement from {w: 1, c: 1, l: 2, i: 5}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**2 - 30*p + 52 = 0. What is p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12110100000001 + -2?\nAnswer: 12110022222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w**2 - 2*w + 2*w**3 - w**3 + 6*w - 4*w.\nAnswer: w**3 - 10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 2*h + 6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*k = 4*i - 203*k + 5, 5*i - 4*k + 22 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -6*g - 140. Calculate the highest common factor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/982?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*c - 45*c + 29*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 315668, -5, -2 in decreasing order.\nAnswer: 315668, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2691997 to the nearest integer?\nAnswer: 1641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135\/(-425) - 3\/(1\/((-4)\/102)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**3 + q**2 - 6 + 7*q + 8*q**3 - 6*q + 0*q + 3*q in the form t*q + a*q**3 + x*q**2 + z and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*c = 52, 0 = -7*p + 3*p - 5*c + 97. Suppose -3*x - 105 = 2*x. Let z = x - -27. Calculate the lowest common multiple of p and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 619548 = -66*u + 78*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.5+-344.201\nAnswer: -346.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**2\/11 - 148*c\/11 + 2738\/11 = 0.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 25823928490248?\nAnswer: 25823928490247.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5627 - 73197\/13. Let f = -136\/39 - z. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -75 (b) -3 (c) -0.07 (d) 3\/5 (e) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 1747103?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (55\/(8800\/(-64)))\/(-10)\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 238.62, -1, -4\/7?\nAnswer: 238.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 - u**2 + 2*u - 31. What is l(-4)?\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 500*v - 216*v - 284*v - 4 + 401*v**2 in the form p + b*v + g*v**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -875.\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122238056 + 122238056 - 8*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from koooooowfoofwowk. What is prob of picking 1 k, 1 w, 1 f, and 1 o?\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand s + 0*s - 2*s + 5 + s + 5 - 11 + 2*s - s - 2*s + (-6*s + 3*s + s)*(-3 + 0 + 4).\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, j: 3, a: 4}. Give prob of sequence jja.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126, 3, -300, -0.16 in descending order.\nAnswer: 3, -0.16, -126, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 232812?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w + 888 - 1574 = -875 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -35 + -9 + (0 - 10) - (13 + -5)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**0\/(k**(4\/5)*k) assuming k is positive.\nAnswer: k**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.81 times 0.01?\nAnswer: 0.2281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 3)*(-22*i**5 - 97*i**4 + 97*i**4)*(-3 + 7 - 2).\nAnswer: -132*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 35373 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: Differentiate 161750*h**2*l + 3*h**2 + 3*h*l + h - 555*l + 179124 wrt h.\nAnswer: 323500*h*l + 6*h + 3*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 2486*i**3\/3 - 834*i - 1728. What is the derivative of n(p) wrt p?\nAnswer: 4972*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(432) + 3*sqrt(432))**2 - (sqrt(3)*3 + -3 + 3).\nAnswer: -20736 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y + 288 + 20 = 0 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3361105 and 1265?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1890.854 millilitres to litres.\nAnswer: 1.890854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2483, 8084, 19909, 41066, 74663, 123808?\n\"Answer: 518*t**3 + 4*t**2 + 1963*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.4 - -4. Suppose 5*p + 0*p + 15 = 5*y, 5 = 5*y - 3*p. Let d be 8\/(-28)*y\/(-2). Which is the second biggest value? (a) d (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 669 - 671. What is the closest to -9\/5 in a, 1, 4\/3, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 43 (b) 0.28 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -155 + 155. What is the fourth biggest value in -1, 0.1, f, 0.19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 6*b + 2*b + 100, -5*j + 125 = 4*b. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**6)\/d*(d*(d*d*d**(-7\/5))\/d)\/d)\/(d**(-11)*d**(-1\/11)\/d) assuming d is positive.\nAnswer: d**(313\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 take away 19698020.2?\nAnswer: -19698001.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 191*y**2 - 5*y + 6. Let k be a(3). Let c = k + 331. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 53 + -8d6?\nAnswer: -883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2635 and 310.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 6 (b) 13363 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -165*s - 1364*s + 13534*s - 2561*s + 8161*s to p*s + k and give p.\nAnswer: 17605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1096 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2446253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 11 = -6*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -114?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -16. Suppose -177 = -k - 2*x, 11*x - q*x + 498 = 3*k. What is the greatest common divisor of 19 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 - -11*2676\/516\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + 1. Calculate the lowest common multiple of t - (1 - (-4)\/(-2)) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 58 - 121 + 17*w**2 + 50. Let l(c) = -4*c**2 + 3. Give -6*f(h) - 26*l(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3716 - 303*y**4 + 6*y**3 + 216*y + 117*y**2 + 300*y**4 - 3716 = 0.\nAnswer: -3, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/3 - 23\/15. Let u = -0.044 + 4.044. What is the third biggest value in 0, u, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - r**2 - 6*r. Let u = -55 + 73. Calculate the remainder when q(5) is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2286\/(-15)*(-145)\/(-232)*-3*80\/180?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o - 65 = -5. Let x be (-48)\/84*2*14\/o. Solve x = 2*p - 0*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -629131755384.400015 + 629150127469.4. Let s = x + -18372044. Let h = 41 - s. Round h to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6301, 6161, 5781, 5041, 3821?\nAnswer: 2001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x - 12. Let o be 10*(-4)\/(-30)*(-3)\/(-2). Let l be m(o). Which is the third smallest value? (a) 5 (b) l (c) -0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 4*j + 5*y - 118 = -12*j + 11*j, -16*j - 194 = -5*y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -288801878 times 0.3?\nAnswer: -86640563.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2492 = 3*i + 2*t, 10*t - 1664 = -2*i + 8*t. Does 46 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 1164*u**2 - 86400*u + 1910000.\nAnswer: -4*(u - 191)*(u - 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -9*r**3 - 15*r**2 + r + 6. Let h(n) = -4*n**3 - 7*n**2 + 3. Let w(j) = 7*h(j) - 3*p(j). Let b = -78 - -74. Calculate w(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(204)\/sqrt(12))**2 + 5 + (-6*sqrt(102) + sqrt(102))\/sqrt(6) + -2.\nAnswer: -5*sqrt(17) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11022013 + -111321?\nAnswer: 10310032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 4. Suppose 18 = -5*g + 218. What is the remainder when g is divided by j(-18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*61884\nAnswer: 18565.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 24. Solve -4*y = -s*q, -q - 2*y = y - 19 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (2 + 1 + 4)) + -6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 12*c + 38. Does 4 divide (-40)\/(-14)*(c - (-29)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 3\/5, -4\/7 in decreasing order.\nAnswer: 3\/5, 0.06, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v**3 - v**2 + 54*v**3 + 30*v**3 + 14*v**3 to the form h + k*v + o*v**2 + r*v**3 and give r.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 13*n + 10 - n**2 + 9*n**2 + 7 - 4. Let o(h) = -2*h**2 - 3*h - 3. Let j(d) = 6*k(d) + 26*o(d). Let v(c) = -2*c. Determine v(j(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 9:38 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 11711*n - 777273. Determine i(-66).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 8:29 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1740*1356\nAnswer: -2359440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14104)\/(-3) - ((-6)\/9)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 7*r - 0. Let j be 8\/3 + 6\/(-9). Suppose 4*o - 8 = s, j*o + s = 5 - r. Solve -2*m = -2*u + 8, 4 = -o*u - 2*m + 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3381, -3391, -3415, -3459, -3529, -3631, -3771, -3955?\nAnswer: -4189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 70415 = -2*q, 4*q - 74*l + 76*l = 140842. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2. Suppose 20 = a + 3*a. Suppose -19 = -a*o + 6. Let w(r) = -o*r - r + r + 2*r. Determine i(w(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvwncmwc. What is prob of picking 1 m and 1 w?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(-6)*(-54)\/(-4). Is (-36)\/w - (-56278)\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4539\/(-255) + (1 + (-6)\/5)*1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 40415 - 84?\nAnswer: 40341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 14*x + 616. Sort x, 0, -1 in decreasing order.\nAnswer: 0, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1837 - -1845)*(-10)\/4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 507 - 436. What is the remainder when 78 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 556199 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 555528, 555551, 555574?\nAnswer: 555597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 7411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2.780569ug?\nAnswer: 0.000000002780569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11d + -4?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (481\/(62530\/(-780)))\/((-4)\/26)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 8. Let v(r) = -7 + 3*r**2 - 2 + h*r - 2*r**2 - r. Does 4 divide v(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 91 = -3*f, 4*n - 68 = 2*f - 2. Let g = 28 + f. Is -12 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 168 + -172. What is the biggest value in b, 0, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.4 + 5. Let z = 0.1 - q. Let s = -0.7 + 0.4. What is the third biggest value in z, -4, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6423 - 12916. What is o rounded to the nearest one hundred?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 7*q. Let w be d(7). Let l(z) = z**2 - z + 2. Let j be l(w). Suppose -2*i = j*i - 32. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v**5\/2 - 10274227*v**4\/6 + 209441279323*v**3 + 1944880176794*v**2\/3 - 777943786052*v - 79789173168 = 0. What is v?\nAnswer: -4, -2\/21, 1, 244626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*c - 13 = 166, 0 = 2*c - 14. Calculate the smallest common multiple of 4400 and l.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91046?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13 and 1591986629.\nAnswer: 1591986642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -252*i - 187*i - 422*i - 8610 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + 41 + -62 + 46 - (-1 + -1 - -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*q + 10939, 4*q + 5*p = 6310 + 15603. Suppose -q = -3*b + 630. Suppose m + b - 7834 = 0. What is m rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**3 - 52*f**2 - 58?\nAnswer: -6*f**2 - 104*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, s: 3, t: 1, j: 6, y: 2, m: 4}. What is prob of sequence ygt?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 9 - 1 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 - 2*i + 10. Give r(4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 809 + b - 269 - 272 - 268.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w - 6. Let k(q) = -q**2 + 1. Let a(s) = s**2 - 3*s - 4. Let t(c) = -a(c) - 3*k(c). Let y be t(-3). Let d = 4 - y. Calculate v(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 22 = 52. Let h be (-2)\/i - 29\/5. Let g be -2 + ((-960)\/68)\/h. Is g at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q. Let g(y) be the third derivative of 0 + 0*y + 0*y**3 - 9*y**2 + 1\/12*y**4. Calculate g(j(s)).\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 4 = -2*i. Let q be i*(-5)\/(5\/2). Let s = q + 74. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 3 (c) -1\/2 (d) 41 (e) -1\/8 (f) 176\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h + 31*h + 14*h - 53*h - 9 - 4.\nAnswer: -h - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1488 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*-0.42\nAnswer: 0.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40630\/3 - -13544. Which is the fourth biggest value? (a) -5 (b) -0.6 (c) 0 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31303219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/124 and 23\/114.\nAnswer: 7068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -72673 (base 9) to base 13\nAnswer: -18a86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -0.08382 (c) 2 (d) -0.4 (e) 0.1 (f) -4\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -133*y**5\/20 - 1015*y**2. Let h(o) = 3*o**2. Calculate m(h(l)).\nAnswer: -3591*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekeekkeekekee. Give prob of picking 2 e.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2348*z - 56376 - 38235 = -797*z for z.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(700) + 0 + sqrt(700)) - sqrt(700) - sqrt(700))**2.\nAnswer: 100800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + 2201301?\nAnswer: 2201322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1480*w**4 + 493*w**3 - 734*w**4 - 745*w**4 + 1092*w wrt w.\nAnswer: 12*w**2 + 2958*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -82382 and -3.7.\nAnswer: 304813.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 67609739 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/14)\/(-2)*(-4)\/8?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 5*i - 12)*(5*i + 3*i - 6*i) - 685*i**2 + 509*i**2 - 1 + 0 to the form a*i + b*i**2 + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a day in hours?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/8 of a second?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, l: 1, p: 1, q: 1, z: 2, i: 1}. Give prob of picking 1 l and 1 z.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 187*l**7\/42 + 13*l**3\/6 - 3*l**2 + 2*l + 21. What is the second derivative of k(h) wrt h?\nAnswer: 3740*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - g + 1. Let v be c(-1). Suppose -3*s + 3*i - 8 + 29 = 0, 3*i = -v. What is the second derivative of 7*r**2 - r**2 + 3*r + s*r**2 wrt r?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-2))\/((-8)\/(-16)). List the prime factors of -2 + (d - 4)*-29.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**3 - 302*h**2 - 608*h = 0.\nAnswer: -2, 0, 304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2*m + 5*k - 41, 3*m - 27 = -3*k. Let h(z) = z**2 - 5*z - 4. Let q be h(5). Let l = m - q. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 33*k + 5. Let n be q(6). Let o be 24\/n + 8\/(-52). What is the closest to 4\/7 in -1\/2, o, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -20. Let w be q\/(-5 + 1) - -4. Solve -3 = w*b + 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 - (15 - (12 - 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 7 + 16 + 9)*(-2 - 1 + 2)*(3*b + 3*b - 3*b).\nAnswer: -6*b**2 - 54*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 7:55 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-67)\/(-13) - (-2)\/(-13). Let j(g) = 45*g - 45*g - 9*g**2 - c*g**2. Let w(r) = 2*r**2. Determine w(j(s)).\nAnswer: 392*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 11:51 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 85901 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - b + 48. Let c be x(0). Let a be c\/18 - (-2)\/(-3). Suppose 2 = -49*h + 50*h. Solve -5*n + 4 = s - a*n, 2*s = h*n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 e, and 2 n when four letters picked without replacement from {o: 2, n: 4, e: 1}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 175*o**3\/6 + 76*o. Let x(f) = -4*f**2. Give x(r(v)).\nAnswer: -122500*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 o when four letters picked without replacement from ooooooooooooojoojojo?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 7 + 3 = 0. Let n be (-4)\/(-16)*2*(0 - 10). Is a smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**2 + 29*m + 3. Give r(12).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2657, 6491, 12889, 21857, 33401, 47527, 64241, 83549?\n\"Answer: u**3 + 1276*u**2 - u + 1381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105611 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 123\/5. Factor 6\/5*i**2 + 0 + l*i + 6\/5*i**3 + 2\/5*i**4.\nAnswer: 2*i*(i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7135 from 11587.956759.\nAnswer: 4452.956759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.67 * -0.048.\nAnswer: -0.41616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (114\/(-171)*(-1)\/(-2))\/1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 556881 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440 (base 9) to base 10.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -2\/3563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 7*y + 2. Let j be o(-7). What is the tens digit of j\/(-8) - (-5 - 0 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 9*g**2 + 2*g - 1. What is z(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.313446ms in seconds?\nAnswer: 0.006313446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -363 (base 12) to base 10.\nAnswer: -507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - 520\/90) + (-34)\/(-9). Suppose -2*s - t*x = -84, 0*x - x + 47 = s. Calculate the remainder when s is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 44*u**2 + 10 + 14.\nAnswer: 44*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -3 - 50 - (-3 - -19)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k. Let q(i) be the second derivative of -i**3\/6 - 10*i. What is q(z(b))?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4132051ml?\nAnswer: 0.0004132051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 195276394 to the power of 1\/2, to the nearest integer?\nAnswer: 13974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**6\/360 - 19*c**5\/60 - 361*c**4\/24 + 19*c**3\/3 - 5. Let q(i) be the third derivative of x(i). Factor q(n).\nAnswer: -(n + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 13 - (10 + (-24 + 5 - -10)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v - 4. Let a = -400 + 399. Determine q(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -931 + 930. Let u = -2 + 2. Let x = u + 4. Which is the nearest to m? (a) 1\/4 (b) 1\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2 = 5*f + 5, -5*b = -3*f - 21. Let h(d) = 2*d + 3. What is h(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647230 to the power of 1\/2, to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/203 + 396\/1015. Let k = -144 + 143. Which is the nearest to 0? (a) k (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1701, -3457, -6379, -10461, -15697, -22081, -29607, -38269?\nAnswer: -48061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25679 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 1. Let r(n) = -n**3 - 17*n**2 - 15*n + 19. Let q be r(-16). Suppose -q = 16*k - 13*k. What is the smallest value in -3, k, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 0 + 4*o - 4 + 2 + 7*o**3. Let p(u) = -14*u**3 - 7*u + 5. Let j(y) = 7*n(y) + 4*p(y). What is the derivative of j(x) wrt x?\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 121380?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6433\/4 + -1595. Let v = 8\/3561 - 146665\/295563. Calculate the common denominator of v and b.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17948.00000023284 - -17948. Round i to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 302, 314, 326, 338?\n\"Answer: 12*a + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 + 1. Let d be (1\/6)\/(2\/296). Let f = 25 - d. Which is the smallest value? (a) f (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**4\/15 - 2224*q**3\/15 - 39868*q**2 - 1189376*q\/15 - 593578\/15 = 0?\nAnswer: -661, -449, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1964*j + 2674*j - 3935*j - 11334*j as b*j + i and give b.\nAnswer: -14559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -119*s + 5 + 262*s - 148*s - 4. Suppose -9 = 2*m - 11*m. Let t(j) = j. Suppose -a - 8 = -3*l - 0*l, -3*a - 14 = -4*l. Determine l*t(w) + m*c(w).\nAnswer: -3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 3:23 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 0)*(2 - 2 + 2*s) to y*s + p and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -118 + 114. Solve 2 = d + w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3555 * 151.2.\nAnswer: 537516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*s - 66 = -58*s. What is the remainder when 162 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*w - 1 + 0 + 1 as f*w + m and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + k = 605, -4*y + 3*k = 2037 + 378. Round y to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 164*g**5*z + 14*g**4*z - 24*g**2*z + 77*g**2 wrt g.\nAnswer: 9840*g**2*z + 336*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -1. Calculate the remainder when 28 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-497)\/14)\/(4\/(-24)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11341.5 rounded to the nearest one hundred?\nAnswer: -11300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 286881190 a multiple of 5230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 - 6*x + 2. Let p(m) = 6*m**2 + 17*m - 6. Let r(a) = -6*p(a) - 17*s(a). Factor r(i).\nAnswer: -2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 44 = 3*y + 4*z, y - 14 = -4*z. Let h be ((-72)\/y)\/(-2 - (-1965018)\/982500). What is h rounded to the nearest ten thousand?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31, 32, 29, 22, 11?\n\"Answer: -2*a**2 + 7*a + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -530 + 541. Suppose 0 = -y - 3*q + 3, -z = -y + 8*q - 3*q. Calculate the remainder when y is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 1609531 = -3*w + 1609605, -k = -3*w + 14 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -48a59?\nAnswer: 48a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, -47, -132, -251, -404, -591, -812?\n\"Answer: -17*h**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 4*z**2 - 3*z - 4. Suppose -4*x + 4 = -2*s - 0, 0 = 4*s + 8. Let y(o) = o**3 - o**2 - o - 4. Let j be y(x). What is the units digit of k(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74 - -79. Suppose f*p - 13 - 7 = 0, 0 = m - 5*p + 8. Let b be (-4 - m\/(-3))*(-1)\/(-2). Solve 2*a = -b*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 80\/7 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 854497747?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5952*r - 184507. Determine j(-31).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/15 (b) 0.09 (c) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaz when three letters picked without replacement from zzaaza.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*l + 4*p + 10, -14 = -4*l + 2*p. Suppose -77 = -17*s - 26. Factor -g**2 + 5*g**l + 3*g - 4*g - 2*g**s - g.\nAnswer: -2*g*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1347655?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 209497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2561 > -1197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 8:30 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from lmmmvzcvmmcilmm.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n - n)*(-67421 - 164*n**2 - 9*n - 67419 + 134840).\nAnswer: 164*n**3 + 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 + 29. Suppose 5*w = 4*r + d, -w - r = 2*r - 8. Let o be (-5)\/w - (-19)\/(-4). Sort 4, 2, o in increasing order.\nAnswer: o, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 801 + -786. Let x(v) = -16*v + 5*v - u*v**3 + 5 + 9*v**3 + 6*v. Let i(w) = -w**3 + w - 1. Calculate -5*i(n) - x(n).\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 66*b + 20131. Determine w(-305).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 72*o + 761. Let h(g) = -15*g - 152. Let v(w) = -11*h(w) - 2*p(w). Let i be v(-7). Solve 0*m + i*m - 4*f = 13, 0 = -m + 5*f + 19 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 2:47 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, -9, 5 in descending order.\nAnswer: 5, -0.12, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 131 = -43. Let v be (-7)\/(35\/c)*5. Suppose -34 - v = -4*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -51*f + 1. Let z be (2 + (-339)\/(-3))*(-60)\/(-50). Let l(m) = -47*m**2 - 48*m**2 + z*m**2 - 47*m**2. Calculate l(v(j)).\nAnswer: -10404*j**2 + 408*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, z: 2, v: 1, a: 1, f: 1}. What is prob of picking 1 f and 1 d?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, f: 1, z: 3, k: 1, g: 2}. Give prob of sequence kzy.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2. Let q(d) = 5*d**2 + 13*d. Let m(k) = q(k) - 2*r(k). What is the second derivative of m(w) wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 5*c - 10. Let f be l(-7). Suppose 113 + 7 = f*p. Let b be (20\/p)\/(1\/3). What is the greatest common factor of 16 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**3*j**2 - b**3*j*o**3 - 91*b**2*j**3*o**3 - 587*b**2*j**3*o**2 + 2*b**2*j*o**2 wrt o?\nAnswer: -6*b**3*j - 546*b**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 448 = 107. Suppose -3*o = -4*o + j. List the prime factors of o.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 187, 343, 501, 661, 823?\n\"Answer: h**2 + 153*h + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**5\/60 + i**4\/4 - 23*i**3\/6 - 6*i**2. Let f be z(-10). Solve o = 5*d - 23, -3*o - o + 5*d = f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10327 (base 9) to base 6\nAnswer: 51341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64316 by 2.\nAnswer: -32158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 at least 322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 47*y + 145*y + 144*y.\nAnswer: 336*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3104554741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 31*h**2 + 60*h + 25. Determine o(29).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -20*m + 2125. Is r(86) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 43, 315, 1045, 2455, 4767, 8203, 12985, 19335?\n\"Answer: 37*u**3 + 7*u**2 - 8*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - -6. Let c = j - 10. Is 12 a factor of c\/(-2)*(-8)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 5*d**2 - 7*d - 3. Suppose i = 6*i + 30. Give z(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**3\/3 + v**2\/2 - 2*v - 988. Give c(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 2:56 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -52 and -1581.432794.\nAnswer: -1633.432794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 38 = 34 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -26. Let h = 6 + o. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109752 and 6732.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in 2\/9, -51, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 1:11 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56099216, -56099188, -56099112, -56098964, -56098720, -56098356?\nAnswer: -56097848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13927, -111276, -375499, -890032, -1738311?\n\"Answer: -13906*q**3 - q**2 - 4*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3371.1 + 3370.9. Let f = -2 + 6. Let w = -2\/175 + 183\/700. What is the nearest to -2 in w, f, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-2))\/(1\/38). Let d be s\/(-4) - (-6)\/(-8). Suppose -10 + 66 = d*t. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3 + -4*5\/(-60)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62576 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 243647 = s - 243609, 2*s + 3*d = -37 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765 a factor of 1475314080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2328 and 488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*i**4 - 33*i**3 + 265*i?\nAnswer: 48*i**2 - 198*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -1 + (-24 - -17) + -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5759464?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4313*f + 19155 = 88163 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**3 + g**2 - 1. Let r be j(-1). Suppose -4*i - 2*d - 20 = 0, 0*i = i - d - 1. Put 2, r, i in decreasing order.\nAnswer: r, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53545 and 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 31101490.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 40158807 to the nearest ten thousand.\nAnswer: 40160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4944.997ml?\nAnswer: 4.944997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -165.2 - -171.2. Which is the nearest to 3? (a) -5 (b) -43 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323140311 (base 6) to base 3.\nAnswer: -101211012221021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -964*y**2 + 10*y - 5. Let i(m) = 482*m**2 - 4*m + 2. Determine 5*i(z) + 2*t(z).\nAnswer: 482*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25812 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 272?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4032, -4, -67, 3, 1 in ascending order.\nAnswer: -67, -4, 1, 3, 4032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -14*b - 1. Let j(z) = 13*z. What is -2*i(h) - 3*j(h)?\nAnswer: -11*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -106 - -24?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -421\nAnswer: -6\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8 = -0*s, -3*q = -5*s - 908. What is the smallest common multiple of 4 and q?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4261 = 4*y + 1529. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 22 = 2*l, 0 = 5*l - 4*f - 27 - 4. Suppose -15 = -6*d - l. Suppose -93 = -d*k - 23. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31174988 is divided by 770.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(60\/3))\/(122\/915)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.36 - 0.36. Is 43 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 16\/17, -0.3, 3, 21.\nAnswer: -5, -2, -0.3, 16\/17, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 667, 2666, 5999, 10666, 16667, 24002, 32671?\n\"Answer: 667*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -47*z - 1. Let k(q) = 843*q**2 + 11. Give k(p(v)).\nAnswer: 1862187*v**2 + 79242*v + 854","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t**2 + 8*t**2 + t**3 + t**2 + 6 - 3 + t to the form n*t**3 + z*t**2 + b*t + v and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2\/3)*b*b)\/b*b**(5\/2))\/(((b\/(b**0\/b))\/b)\/b*b)**(-25))\/((b\/b**(1\/3)*b)**(-32)*b**(-2\/17)\/(b\/(b**3\/b))) assuming b is positive.\nAnswer: b**(8189\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 573857983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*b - 11 + 43, 0 = 5*b + 15. Let f be 1\/i + 27\/12. Suppose -f*p + 20 = 3*p. Solve 0 = 4*h - p, -3*h + 8 = -5*k - 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 748 divided by 397\nAnswer: 748\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, p: 7, w: 6}. What is prob of sequence cc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**2\/3 + 968*p\/3 + 117128\/3 = 0. Calculate p.\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = -u. Suppose 0 = -5*o - 4*l + 6071, u*l + 2*l = -o + 1210. Let c = 725 + o. Round c to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 6*o. Let p be x(-3). Suppose 0 = t, -t = 3*g - 2*t - p. Suppose -j = 4*j + 10. Which is the closest to 0? (a) j (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 3, 7, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 + 2414*d - 19122. Determine u(8).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 294865 or 294741?\nAnswer: 294865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 107*((-20)\/(-4))\/5. Let i = a - 105. Factor 2 - i*x**2 - 99*x + 95*x + 4*x**2.\nAnswer: 2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.9 * 0.27027\nAnswer: -1.594593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6*f - 18*f - 55*f - 146. What is the tens digit of m(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.886 + -0.82. Let z = s + -0.566. Let p = 54\/7 - 284\/35. What is the smallest value in 1\/5, z, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j. Let f(s) = -s + 37799. Calculate f(r(t)).\nAnswer: -3*t + 37799","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 12*g - 2 - 3.\nAnswer: 14*g - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8))**(-38)\/(s**(1\/3))**(-18) assuming s is positive.\nAnswer: s**310","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 2*u - 1\/3*u**3 + u**2 - 10. Let h(x) = 5*x**2 - 9*x - 9. Calculate 9*f(t) + 2*h(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14\/9? (a) 0.5 (b) -1 (c) 8 (d) -0.7 (e) -1.49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 519524 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 91*j**3 + 3*j**2 - 4*j - 4. Let w(h) = -363*h**3 - 12*h**2 + 18*h + 17. Let s(y) = 9*b(y) + 2*w(y). What is the remainder when s(1) is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -205141023 - 10?\nAnswer: -205141033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7367 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5613*x - 661753 - 23033 = 0 for x.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 4*n - 64, 0 = 2*h + 6*n - 146 + 34. Calculate the least common multiple of h and 1*(2 + -2 + 10).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1 - 8*y**2 + 4*y - y**3 - 5*y**2 + 14*y**2 + 0*y. What are the prime factors of h(-4)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13747, 13308, 12877, 12454, 12039, 11632, 11233?\nAnswer: 10842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 37*u - 988. Let a be y(55). Solve -15*j = -20*j - 3*k + 22, 0 = -2*k - a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29965 and 650?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 119114887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1404\/35 or 39?\nAnswer: 1404\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 334818457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3765*h + 169404. Calculate m(45).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, 1826, 3\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + 2)*((-14)\/(-84) + 40\/(-60))?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-126)\/(-4) + (-6)\/(-4). Let f = -29 + r. Solve -8 = -f*v + 4*s, -v = -2*v + 3*s + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -v - 0*w + 3*w, -81 = -4*v - w. What are the prime factors of (-6)\/v - (-191)\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -99*c - 39. Let t(h) = 49*h + 20. Let n(o) = 6*p(o) + 11*t(o). What is the first derivative of n(g) wrt g?\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2595?\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 72 = -0*z. Let q be (-12)\/(-18) - 22\/z. Does 0 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -23*r + 8. Let m(j) = -15*j + 5. Let t(a) = 5*d(a) - 8*m(a). Let h be 5\/(15\/(-6)) + -43. Let c = 46 + h. Determine t(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 541*g**5 - 3*g**4 - 7*g**2 + 91990*g?\nAnswer: 10820*g**3 - 36*g**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 18 = 13*v. Which is smaller: 5 or v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692223?\nAnswer: 3, 7, 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8 = 2, 5*g - 4*a = 3. Suppose -3*u + u = 0. Suppose g*k + k = u. Solve -4*y - 4 = -q, k = 3*y - 0*q + 5*q + 26 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmnvnmvmns. Give prob of sequence msn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 37*j - 72. Let v be b(2). Let i be (-90)\/36*v\/15*8. What is the greatest common factor of i and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3)*(h\/h**(1\/4))\/h*h)\/((h\/(h*h**(-1\/2)))\/(h**5\/h)) assuming h is positive.\nAnswer: h**(55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 10. Suppose -4*t = -2*l + t - 20, 0 = 2*l - 2*t + 8. What are the prime factors of r(l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -272639 divided by 50?\nAnswer: -272639\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/761 and 418 + -412 + (0\/(-1) - 39).\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3+-7243194861\nAnswer: -7243194858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 790, 847, 942, 1075, 1246, 1455?\n\"Answer: 19*z**2 + 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -226325b (base 13) to base 3.\nAnswer: -201220020120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 216 + -158. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*d*s**3 - 6*a**2*d - 23*a**2 - 4*a*d**2 + 48*a*s**3 with respect to d.\nAnswer: 2*a**2*s**3 - 6*a**2 - 8*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 2. Let o be x(-2). Suppose 0 = -4*j - 17 + 5, -4*p - j + 17 = 0. Solve 0 = o*r - p - 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -1 + (0 - 2 - (-10 - -17))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6 - (4 - 8))*-42.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 6) to base 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 326696149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -3 + 3*i + 5 + 3*i**2 - i**2. Let x be 0 + 2 - 4 - 0. Calculate k(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 1 + 3 + 3*t - 2*t - t**2. Let f be 6\/2*(-6 + 9)\/3. Let a(v) = -2*v**2 + v + 5. Let d(j) = -j. Let g(c) = -a(c) + d(c). Calculate f*k(m) + 2*g(m).\nAnswer: m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11bbb21 (base 12) to base 3.\nAnswer: 20112222111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1916706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20328 and 3366?\nAnswer: 1036728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**3 + 1. Let p be i(-1). What is the remainder when p*2\/(-6) - -39 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 37555*b**2 - 77 + 145 - 68.\nAnswer: -37555*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u + 14. What is the remainder when 151 is divided by a(8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1643 - -1736. Solve -20*n + 13 - o = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by (-10 + 352\/40)*-15?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 438*p - 442*p - 488. Which is smaller: -362\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0*k + 2*k + 4)*(-2*k**3 + 5*k**3 - k**3 + (0*k + 0*k - k)*(6*k**2 - 2*k**2 - 5*k**2) + 3*k**3 + 5 - 5).\nAnswer: 12*k**4 + 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, -4 in ascending order.\nAnswer: -4, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 + -42. Suppose -3 = -f + 5*n - a, f + 3*n - 10 = 0. Let x = -8 - -4. What is the biggest value in f, 5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1033\/2, 3\/4, 0.3, 2\/9, 0.1?\nAnswer: -1033\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(-14)*42\/(-12). Let u be (32\/6)\/(j\/(-18)). What are the prime factors of u\/6*(-15)\/2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4809, -9604, -14341, -18990, -23521?\n\"Answer: 5*d**3 - d**2 - 4827*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxx when three letters picked without replacement from {f: 8, x: 7, r: 5}.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 921 = -2*y, -4*y - 926 = -6*y + 4*f. Suppose 0 = -5*o + 5, -221 = -5*p + 2*o - 8. Calculate the greatest common factor of y and p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 6, 2*i + 10 = -4*m - 4. Is 15 a factor of i + 1436 + (0 - -3 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*h + 28, -4*h + 7*s = 8*s - 23. Let v = 5 + -7. Let g be 1 + (v - 0) + 6. Are h and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 7) to base 3\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1456, -5919, -13584, -24637, -39264?\n\"Answer: -31*i**3 - 1415*i**2 - i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 12*r**2 - 12*r + 7. Calculate o(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, z: 4, r: 4, m: 1, u: 9}. Give prob of sequence tumz.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6863718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*y + 176, -y - m = 3*y - 356. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 243, -214, 1 in ascending order.\nAnswer: -214, 1, 2, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 smaller than 774?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttp when three letters picked without replacement from {p: 7, t: 9}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 364 (base 8) to base 12.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 40\/22 + 8\/44. Let m(s) = -66901*s**2 + 5*s - 2*s - 78636*s**i + 2 - 39462*s**2. Let t be m(-2). What is t rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7079031 is divided by 80.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 259\/2, 0.2, -2\/13, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206625, 206637, 206649, 206661, 206673, 206685?\nAnswer: 206697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from ekkkkekexkkrkekrkkk?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.577697nm to centimeters.\nAnswer: 0.0000007577697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14981487, -0.5, 0.2, 4 in increasing order.\nAnswer: -0.5, 0.2, 4, 14981487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*v + 119*v + 120*v + 121*v - 477*v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.05 + 127.75. Let q = w - 128.779. Let f = 3.75 - q. What is f rounded to 2 dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 357\/85 + (-1)\/5. Suppose -d - d = -3*g + 23, 0 = -g - b*d - 11. Suppose -k - 3 = -g*u, -k - 3*k + 10 = 2*u. Solve k*t = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 12104.37ml?\nAnswer: 12.10437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/45 + 4\/18. Let n = -1.2 - -1.29. Let j = -0.01 - n. Which is the closest to j? (a) 3 (b) p (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*s**6 + 17*s**5 - 55*s**2 wrt s.\nAnswer: 960*s**3 + 1020*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78081 is divided by 3393?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1061 = -4*l - 491. Let h = l + 582. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4207*j + 21036. What is g(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/6)*x*x**(1\/4)*x\/x**(-2\/3)*x\/(x*x**(1\/6)))\/((x\/x**(-2\/15))\/(x*x\/(x**(-1)*x))*(x*x**0)**(-36)) assuming x is positive.\nAnswer: x**(2387\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3334 less than 6084?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6032801 less than 0.0035?\nAnswer: 6032801.0035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -275, -2, 2, 0 in descending order.\nAnswer: 2, 0, -2, -3, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3 + 12760*v**2 + 7992454*v + 1196048268 = 0. What is v?\nAnswer: -293, 6966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -d + 5*o - 325, -3*d = -5*o - 270. What is the remainder when d is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(525\/60)*(-10)\/(-24)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 166149245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10118 and 4.\nAnswer: 40472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -1356.\nAnswer: 135.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -17 in descending order.\nAnswer: 6, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 1. Suppose l + 4*a - 15 = 10, 22 = l + 3*a. What is the greatest common factor of l and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1924191297 to the nearest integer?\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(7) + -1)**2 - sqrt(7))*5.\nAnswer: -65*sqrt(7) + 215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 8 - 21 + 8 - 37*i.\nAnswer: -37*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/20)\/((-1626)\/23848))\/((-2)\/3)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + z + 3)*(-13*z**3 + 9*z**3 + 2*z**3).\nAnswer: -2*z**4 - 12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 10. Let v(b) be the third derivative of b**6\/120 - 7*b**5\/60 + b**4\/3 - 2*b**3\/3 + 11*b**2 + b. Give v(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*(-1 + sqrt(833))*1.\nAnswer: 35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + p + 7 = 0, q - 2*p - 19 = 2*p. Suppose q*t + 4*v = -1214, 6*t = 2*t - 2*v - 1632. Let y = 1155 + t. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 3*y - 3*y)*(2*y - 4*y + 6*y) + 1207*y**3 + 1433*y**3 + 487*y**3.\nAnswer: 3131*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9887749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/(z*z**1\/z*z*z*z))\/z))**(-10\/3)\/(z\/(((z*z**(-1)\/z)\/z)\/z))**(2\/11) assuming z is positive.\nAnswer: z**(-574\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130515896.\nAnswer: 2, 7, 2330641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -530*n + 5303. Give d(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from {v: 1, j: 3, h: 2, w: 5, s: 8}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108203904.\nAnswer: 2, 3, 131, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71497.\nAnswer: 19, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008941 to four dps.\nAnswer: -0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0159275 rounded to 4 dps?\nAnswer: 0.0159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1248990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/560 and 109\/6?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 37*x**2 + 76*x - 127. Determine v(35).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 64.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*5\/(-30)*-3)\/14?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 133 - (198 + -70) - (1 - (-1 + 38)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 13. Let i be w(-8). Suppose 10 = -i*r + 10*r. What is the third derivative of 2889 - 2889 + 18*d**4 - 13*d**r wrt d?\nAnswer: 432*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 42?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (2 + 14 - -6)) + 7\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-231)\/7*(-4)\/6?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26786 - 18889. Which is bigger: f or 7896?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.041 times 5\nAnswer: -0.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2 - 38. What is the fourth biggest value in a, -1\/2, 3\/4, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 502\/3*(-5670)\/(-160). Let c = 4468 - -1470. Let s = c - a. Find the common denominator of s and 59\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 - 9*g**2 - 7*g**2)*(2*g - g - 3*g) + 0*g**3 - 3*g**3 + 5*g**3.\nAnswer: 34*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 3*a**2 + 3*a - 3. Let w be l(-4). Let z be ((-9)\/(-12))\/(w\/4). Suppose 63*r + 81*r - 288 = 0. Solve r*h - z = -h + 2*q, h - 1 = -4*q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2*b - 22, 9 - 44 = 4*s + b. Let d be 1*(2 - s\/(-5)). Which is bigger: d or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/414)\/(((-595)\/(-30))\/(-17))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 11. Suppose -3*x + y = 19. What is the tens digit of x\/10 - 462\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9540)\/(-3816) - ((-129)\/54 + 5).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775664 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 27*a**2 + 97. What is c(27)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) 13 (b) 3 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -251*w**3 - 5*w**2 + 17*w - 27. Let s(v) = -253*v**3 - 4*v**2 + 14*v - 28. Let q(a) = 4*g(a) - 5*s(a). What is the derivative of q(k) wrt k?\nAnswer: 783*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5505 = 4*l - 20517. What is the highest common divisor of l and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(4\/(-16) + 0\/1). Suppose y + 57 = w*t, 3*y + 2*y - 27 = -4*t. Suppose 4*l = t + 199. List the prime factors of l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(((i\/i**(-5))\/i)\/i))\/i*i*i**(-8)*i**6\/(i\/(i\/((i\/(i**(-7)\/i)*i)\/i))*i) assuming i is positive.\nAnswer: i**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 + 187*c - 102. What is the remainder when 6502 is divided by l(-63)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-18)*t**(2\/35)\/t*t)\/(((t*t**(-20))\/t)\/t**(-2\/19)) assuming t is positive.\nAnswer: t**(25903\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrdb when four letters picked without replacement from {b: 1, d: 1, y: 1, r: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(2*k - 2 + 3 - 12*k + (2 - 1 + 1)*(5*k - k - 2*k)).\nAnswer: -12*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10779 divided by -595.\nAnswer: 10779\/595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 1)\/((-7)\/21). Put -1\/9, z, -5 in increasing order.\nAnswer: -5, -1\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 0*y + 8. Let v be 3\/(-9) - (88\/(-3))\/y. Solve 17*b**2 - 4*b**5 + 7*b**5 - v*b**4 - 13*b**2 = 0 for b.\nAnswer: -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24734, -197886, -667870, -1583102, -3091998, -5342974, -8484446, -12664830?\n\"Answer: -24736*g**3 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1900) + 2 + sqrt(931) + sqrt(931)*-3 - (sqrt(2299)*-2 + -1 - (0 + sqrt(2299) + 1)**2)).\nAnswer: 120*sqrt(19) + 6909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 4. Let v be b(3). Let u = 19 - v. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k = -1152 + 1019 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 3\/2*k**2 - 2\/3*k**3 + 0 + 15*k. Let g be (-4)\/(((-4)\/6)\/(-1)). Let z(n) = -5*n + 4. Determine g*z(m) + 7*c(m).\nAnswer: 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, v: 1, s: 3}. Give prob of picking 3 s and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28329373 * 0.4.\nAnswer: 11331749.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47091 - 15682 + 6*f - f - 15705 - 15704.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 36 = 4*x, 4*o - 5 = x + 41. Suppose 0 = -5*k + 36 - o. Suppose k*r + 212633 = -57367. Round r to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 0*v + 1\/6*v**3 - 5 + 1\/24*v**4 - 15\/2*v**2. Let f(m) be the second derivative of o(m). What is f(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -243312 - 4?\nAnswer: -243321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91 + -90.9979. Let s = -0.0545 - x. Round s to 3 decimal places.\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x. Let g(u) = 2*u**2 + 5*u + 8. Calculate g(i(q)).\nAnswer: 18*q**2 + 15*q + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**17)**(3\/2) assuming d is positive.\nAnswer: d**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - -3*(-4 + 2). Let t(v) = 2*v - 6. Let j(w) = w - 5. Calculate l*j(b) + 3*t(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 8 = 2*g + 3*j, -3*g - 2*j = -12. Suppose -g*c = -10761 - 5387. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 - 114*t**3 - 315*t**2.\nAnswer: -3*t**2*(t + 3)*(t + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91494 is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 4*c - 9. Let b be o(-7). Find the common denominator of 73\/27 and 40\/18*25\/b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, g: 4, b: 1}. Give prob of sequence fgf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -8760*n**2 - 6. Let h(v) = 7*v**2 - 3. Determine -2*h(w) + p(w).\nAnswer: -8774*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.9 + -6.2. Sort -1\/6, -1, w, -3.\nAnswer: -3, -1, w, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezeeezeezeee. Give prob of picking 1 z and 1 e.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + -0.9. Let n = 148\/63 - 18\/7. Let j = -2.4 - -2. Which is the nearest to 1? (a) j (b) n (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1988 = 1417*c - 929*c - 12652 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 864 and 964764?\nAnswer: 7718112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k - 140. Let w be c(-32). Let q = -28 - w. Solve 4*v + 0*m - 2*m - q = 0, -3*v = -2*m - 11 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 211809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16\/(-8) - 7*(-5 + 1) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1575*k - 121*k - 153415 = -1061*k for k.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**24\/(k\/k**(-1\/35)))\/(k*k**2*k**14) assuming k is positive.\nAnswer: k**(209\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 17*o**2 - 33*o - 9. What are the prime factors of v(-15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-5) + 279\/45. Suppose y = a - 2. Solve -c + 0 + y = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/y**(-12)))\/(y\/(y**(-2\/3)*y)*y)*(y\/y**(4\/13))\/(((y\/(y\/y**(-8)))\/y)\/y) assuming y is positive.\nAnswer: y**(-155\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -42 - -6 - (18 - 51).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -32147.\nAnswer: 3214.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -1\/5 (b) -0.1 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x + 0*x + 2*x)*(0 + 2 + 0 + (-4 + 1 + 4)*(-1 + 5 - 3)*(-2 + 0 + 7)) as r*x + y and give r.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14898 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((188\/16)\/47)\/((-1)\/56)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23974 is divided by 3994.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 l, and 1 g when three letters picked without replacement from lvgfhvggg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from zuzd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 l, 1 q, and 1 d when four letters picked without replacement from isrrsliidqqqrsdsrl?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12222, 12567, 13100, 13821, 14730, 15827, 17112?\nAnswer: 18585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 2*c - 1. Let b(s) = s + 22. Let g be b(6). Let o = g - 25. Suppose -o*z = x + 17 - 4, x - 5*z = 11. Calculate a(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-5 - (3 + 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-4)*2\/(-4). Let y = 2 + o. Solve y*d - 2 = 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17997 = -3*l - 5*k, -5*k - 23996 = -4*l - 10*k. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19532877 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {c: 16, q: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/((-6)\/108). Factor 4*k**4 + 8*k**3 + 7*k**3 + 0*k**5 - k**4 + c*k**2 - 3*k**5.\nAnswer: -3*k**2*(k - 3)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40200 by 53.\nAnswer: 40200\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**2 + 29*p - 5. Give m(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - j + 4. Let m be s(0). Let z be (11 + -1)*3\/6. Let v(p) = 5*p**3 + p**2 - p - 1. Let b be v(-1). Sort b, m, z in decreasing order.\nAnswer: z, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 3. Suppose n = -3*y + 2*v + 2, 4*v = 4*y. Let s be (y\/(-1) + 4)\/1. Solve -4*j - 1 - s = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11348, 22696, 34044, 45392?\nAnswer: 56740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 765 = 2*q, 25*q + 3*a = 27*q - 771. Calculate the lowest common multiple of 2 and q.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 136470*d. Let i(q) = -2*q. Calculate b(i(c)).\nAnswer: -272940*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.076 + 0.729. Let n = c - -0.23. Round n to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13814 + -2?\nAnswer: 13812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1.79 (b) 2 (c) -2\/141 (d) -2\/3 (e) -0.2 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 57.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 v, and 2 d when four letters picked without replacement from dldvllllljlllvll?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 7:07 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (0 - -4) - -1) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 2 = -30. Suppose 3*u - b*f = -18, 3 = 3*u + 4*f - f. Let p(x) = 7*x**2 - x + 1. What are the prime factors of p(u)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**3 + m - 5. Let t be -5 + (8 - 4 - 1). Let v be t\/(-6) + (-44)\/(-12). Is u(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2221 divided by -112\nAnswer: 2221\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -249, -0.5, 2\/3, -3\/4, 1, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**5\/15 + 2*j**4\/3 - 8*j**3\/3 - 58*j**2. Factor p(x).\nAnswer: -4*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1134, -1757, -1818, -1257, -14, 1971?\nAnswer: 4758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((16125\/1118)\/(-125)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/9)*r*(r*r**(-3\/5))\/r)**(-23)*((r**0)**6)**(1\/26) assuming r is positive.\nAnswer: r**(-184\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 10*j + 4. Let s be d(-10). Suppose 0 = -2*c + 10 - s. Solve -5*n - 2*w - 30 = 0, -1 = c*n - 5*w - 14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1bb77 + -4?\nAnswer: -1bb7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3426, -1946, -444, 1080?\nAnswer: 2626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*h - 1851 - 1993 - 1446 - 310 = 0 for h.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -10*g**3\/3 - 7216*g**2\/3 - 1536584*g\/3 - 80458784\/3 = 0.\nAnswer: -322, -388\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 22*j**2 + 544*j - 3298. What is the remainder when u(6) is divided by 35?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/6 + (-5 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -8. Let o = -4 - -3.9. Which is the closest to o? (a) -2\/9 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((1 - -13 - 0) + 9 + -12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**3 + 175*h**2 - 720*h - 900 = 0. What is h?\nAnswer: -1, 6, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(7\/(-7))*4\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 53*a**2 - a + 1. Let k be g(1). Suppose -2*w = 2*q - 14, -3*w - w = -q - k. Let v = -10037 + 10037. Solve w = -4*i - v*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2642 divided by -1075?\nAnswer: -2642\/1075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2. Let f be a(0). Let b(s) = s**2 - 7*s + 2. Let x be b(10). Let h be (-2)\/(-4)*x\/(-72). Do f and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgioidogjjjjoigjgid. Give prob of picking 2 j and 2 i.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 10*p = -4. Put -7, p, -0.2, 0.4 in descending order.\nAnswer: p, 0.4, -0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177 = -2*f - 181 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c + 2*c + 0*c + (0 + 0 - c)*(0 + 4 - 1) + 26 - 6*c - 26 + (c - c - c)*(0 + 5 - 4) in the form j*c + g and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 166725155 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*((0 + 3 + 0)*(0*z - 2*z + 3*z) - 3*z - 2*z + 3*z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 156539431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.106993 - -0.107. What is x rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -10*g**2. Let u(n) = 1674*n - 3351*n + 1677*n + 54*n**2. Give t(u(k)).\nAnswer: -29160*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*m = 73958 + 98923, -4*k = 4*m - 345832. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*g + 6*g. Suppose 4*a - 24*m + 19*m = 43, 6 = -2*m. Solve r + g*y - a*y - 1 = 0, -2*r - 10 = 2*y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvvt when four letters picked without replacement from {t: 18, v: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23559 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 11 = -9. Suppose 3*c - 40 = -p*k, 5*c = -2*k - 5 + 2. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.93 - -0.73. Let q = -2 - k. Let x = 0.1 - -2.9. Which is the closest to q? (a) 2\/5 (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117 - 817\/7. Let l(b) be the first derivative of -b**2\/2 + 3*b + 1. Let k be l(0). What is the biggest value in -5, k, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/1622295 and 53\/120170?\nAnswer: 3244590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5655 by 5.\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z - 142 = 20*z + 4*j, 2*z - 50 = 5*j. Calculate the smallest common multiple of 118 and z.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 1. Suppose 0 = -3*a + 4*s - 10, -2*s + 0*s + 8 = -2*a. What is g(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72618 and 1678593.\nAnswer: 2793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -537\/5 + 107. Which is the nearest to -13? (a) -0.5 (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**5 + 7*b**4 + 11*b**3 - 23*b**2 - 10*b + 16 = 0.\nAnswer: -2, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**7\/2520 - x**6\/18 - 37*x**4\/6 + 128*x. Let r(b) be the third derivative of k(b). Let i(l) = l**2. Calculate i(r(p)).\nAnswer: p**4 - 80*p**3 + 1600*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(640) + sqrt(10)) - (-5 + (sqrt(99) + (sqrt(99) - sqrt(99)*-2) + sqrt(99) - sqrt(99))\/sqrt(9)).\nAnswer: -35*sqrt(11)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -202 (base 4) to base 3\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*c - 1 + c**3 + 10*c + 9*c - 60*c**2 to s + d*c**3 + r*c**2 + l*c and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 4*a - 3*u, 4*a - 115 = 14*u - 113 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, v: 3, h: 1, a: 5, p: 3}. What is prob of sequence paa?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c. Let m be d(2). Suppose -3*n = -2*u - 12, 3*n = -0*n + 12. Solve m*o = v + 3*o, 5*v + 2*o = u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 9*f**2 - f + 4. Let v be j(-4). Let u = -99 + v. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*p. Which is greater: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00124325871 to seven dps.\nAnswer: -0.0012433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(0*n**2 + 0*n**2 + n**2)*(31 + n**3 - 31 + (n**2 + 4*n**2 - 4*n**2)*(-2*n - 3*n + 2*n)).\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.858 and -4.\nAnswer: -3.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 + 3 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((-3 + -1)\/(-4)). What is the third biggest value in -3, j, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l + 6 = -10*l, -5*l = -5*r - 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -30*u**2 + 25*u - 50. Let n(v) = 5*v**2 - 4*v + 8. Let j(q) = -25*n(q) - 4*s(q). Let r(a) = -356*a. Calculate j(r(d)).\nAnswer: -633680*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**7\/2520 - u**6\/360 + u**5\/30 + 3*u**2. Let w(m) be the third derivative of h(m). What is the units digit of w(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -228 - -458274?\nAnswer: 458046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*u + 128, -36 + 164 = 2*u - i. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l + 7. Let b(q) = 11*q + 22. Let n(c) = 3*b(c) - 8*o(c). Let z be n(-6). Solve z*u = 3*u + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(33) - sqrt(33)*2)\/sqrt(3))**2 - sqrt(44)*-4) + -5*(sqrt(44) + -3 + sqrt(11) + sqrt(33)\/sqrt(3) + 3)**2.\nAnswer: -868 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 11:01 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/7)*i)**(-1\/2)\/(i**(-6)*i\/i**(-6)) assuming i is positive.\nAnswer: i**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*o, 2*c - o + 7 = 6. Let z(u) = -4*u**2 + 2*u - 3. Let x(j) = j**2 - 1. Determine c*x(m) + z(m).\nAnswer: -5*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/(-57) + 44\/418\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 8 = 3*z, 4*l = 4*z - 5*z + 6. Suppose 22*r - 17*r = z*k + 44105, 17633 = 2*r + k. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52\/39 - (-134)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53\/42 + -1 + 72\/(-168)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 276 or 272?\nAnswer: 276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-225)\/(-81) + 20\/90. Find l, given that 0*l**2 + 0*l - 9\/4*l**r + 0 + 3\/4*l**4 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -314891 divided by -225?\nAnswer: 314891\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 0*q**4 + 0*q**6 - 2\/3*q**3 - 1\/7*q**7 + 4 + 0*q**2 + 0*q + 0*q**5. What is the third derivative of w(h) wrt h?\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 72*o + 37*o - 105*o + o**2 - 81 - 17*o**2 + 3*o**2 + 2*o**2 + (-6 + 3 + 1)*(0*o**2 + 0*o**2 + 2*o**2).\nAnswer: -15*o**2 + 4*o - 81","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12401552233 + -5?\nAnswer: -12401552241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1403432 (base 5) to base 16.\nAnswer: 6fc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15487911 and 62859?\nAnswer: 2733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.36, 24.9, 1\/5?\nAnswer: -2.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -59*w**5\/10 - 41*w**3\/3 - 11*w. Find the second derivative of j(s) wrt s.\nAnswer: -708*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3\/7 - 10098*m**2\/7 - 5774*m - 30318\/7 = 0. Calculate m.\nAnswer: -3, -1, 5053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 380*q - 34559. Give p(-226).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 209686972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0*v + 357. What are the prime factors of v?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 327\/7 + 984\/7*y + 9\/7*y**2 = 0.\nAnswer: -109, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2))**(-29)\/(j**(-1))**(-1\/3) assuming j is positive.\nAnswer: j**(-89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 260960813 to the nearest integer?\nAnswer: 16154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2, 28 in ascending order.\nAnswer: 2, 13, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 903 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2291*j**3 + 2*j**2 + 2*j + 1. Let r be q(-1). Round r to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14182 - 11111. What are the prime factors of v?\nAnswer: 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.09 + 0.09. Let u = 2400 + -2403. What is the nearest to -0.2 in u, 1\/3, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -508*d + 250*d + 258*d + 22*d**3 + 209053 - 209055.\nAnswer: 22*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*4\/(-1*8). Let g be 98\/(-8)*(8 + -4). Is 8 a factor of g\/(-7) - y\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17471 - 17470. What is the third biggest value in t, 3\/16, 0.014?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 + 35)\/((-20)\/(-1730)).\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4\/3 - 264*q**3 + 342*q**2 + 136440*q + 399168 = 0. What is q?\nAnswer: -396, -21, -3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 4*x + 14)*(1 + 0 + 0)*(-2*x**2 + 2*x**3 + 2*x**2) as u*x**3 + y*x**4 + n*x**2 + z*x + f and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 89655.99 weeks in microseconds?\nAnswer: 54223942752000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 973 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 23*w + 530 = 24*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1501506 and 261.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**4 - 8700*o**3 + 8550000*o**2 - 2978250000*o + 128606250000 = 0.\nAnswer: 50, 950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (166\/6)\/(10\/30). Suppose 0 = o + 3, 5*r - 2*o = -o + l. What is the smallest common multiple of 18 and r?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 - (-9 + (-19 - -11)) - 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s - 20*s + 80*s**2 + 26*s)*(0*s**3 - 2*s**3 - s**3).\nAnswer: -240*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 158 - 153. Suppose 3*l - 2*j = -k*j - 12, 8 = -l - 2*j. Solve -5*w + 4*q = -31, -2*w + 4*q = -l*w - 22 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49 - -93. Let f be -1 - -3 - (2184\/(-416))\/(6\/400). What is the greatest common factor of i and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*x + 13*x - 129749820 = -10*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186, 180, 164, 132, 78, -4, -120, -276?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h**2 - 5*h**2 + h**2)*(-2*h + 0*h + 3*h)*(-12*h + 4*h - 8*h) as z*h**4 + t*h + w + m*h**3 + p*h**2 and give z.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 16*x. Let a(g) = 48*g. Calculate -5*a(h) + 16*p(h).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2)*(5 - 11). Sort -5, i, 5, 27 in ascending order.\nAnswer: -5, i, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4\/r)\/((r\/r**(-2)*r)\/r)*(r*r\/((r**(-2\/7)*r)\/r))**37*r**(-6)*r**4*r**(7\/2)\/(((r*r**6*r)\/r)\/r) assuming r is positive.\nAnswer: r**(1121\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + g)*(-4 + 1 + 4) + 2*g - 3*g + 2*g + 3*g - 3*g - g + (-3 + 1 + 4)*(2*g + 4 - 4) - 2*g - 2*g - 12*g)*(0 - 4 - 1).\nAnswer: 55*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3174 a factor of 860668188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u\/((u\/((((u*u*(u\/u**(-28))\/u)\/u)\/u)\/u))\/u)*u*u**(-3\/26)*(u*(u\/(u\/u**(-49)))\/u)\/((u\/(u**(-4\/3)\/u))\/u) assuming u is positive.\nAnswer: u**(-1595\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -250, -13 in descending order.\nAnswer: -13, -15, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 + 10*p**2 + 15*p.\nAnswer: -5*p*(p - 3)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30412198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -255 by 803690.\nAnswer: -51\/160738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 2*t**2 + 3*t + 4. Let s be m(-3). What is the second derivative of 5*a**2 + 9*a**2 - s*a**3 + 4*a - 14*a**2 wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 28*p**2 - 62*p - 55. Let o be w(-30). Suppose 0 = 4*i - 3*f - 2432 - 563, i - 743 = -o*f. Calculate the greatest common factor of i and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5964020807.\nAnswer: 631, 9451697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3056001 (base 7) to base 16\nAnswer: -599a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -11 (b) 2\/35 (c) -3 (d) -1\/3 (e) 2\/11 (f) 2 (g) -11\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3\/5)*k*k**(-2\/11)*(k**3*k)**(-2\/3))**(-2\/5))**24 assuming k is positive.\nAnswer: k**(6464\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5 + 105*d**4 + 2149*d**3 - 741*d**2 - 15722*d - 12936 = 0. Calculate d.\nAnswer: -77, -28, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -125*x**3 + 299*x**2 + 2. Let m(k) = -126*k**3 + 295*k**2 + 3. Let s(u) = 3*a(u) - 2*m(u). Find the third derivative of s(t) wrt t.\nAnswer: -738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 811964389\/1818 + -446625. What is the common denominator of g and -29\/9?\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from eeqeqeqqeq?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -99.3?\nAnswer: -397.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -8, -2 in descending order.\nAnswer: -2, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**2 - 204*m**4 + 204*m**4 - 29*m**6 wrt m.\nAnswer: -3480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3242 + 2101?\nAnswer: 10343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**5\/5 - 219*z**3\/5 - 756*z**2\/5 - 108*z = 0.\nAnswer: -6, -3, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37087 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 43*n**3 - 3*n**2 + n. Let f be o(2). Let b be 20\/110 + f\/(-22). Is 16*b\/(-10)*1 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2143925 to 3 dps.\nAnswer: -0.214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - ((29 - -33) + -18)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 436324.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 171*h - 1384. Let l be r(9). Solve -150*o = -l*o - 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.337 times 0.069626\nAnswer: -0.023463962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8890*m + 37126. Determine c(-4).\nAnswer: 1566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 100 + -28. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*m = 0. Let c be 4\/(-2)*3\/(-2). Suppose m = 4*p + 5*s - 27, 2 = -c*p + 2*s + 5. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 14. Let v be (-9)\/b*8\/(-6). What is j in 2\/7*j**3 + 4\/7*j**v + 0 + 2\/7*j = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/15)\/(22\/(-132)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrr. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m**2 + 5*m**2 + 7*m**2)*(3*m**2 - 6*m**2 + 8*m**2 + 2) in the form i + y*m**2 + z*m + t*m**4 + g*m**3 and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -410 + 249. Let g = -161.0318 - i. What is g rounded to 3 decimal places?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-26)*2\/12\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*v = 4, -2 = -2*w - 2*v + 2. Let f = w - -18. Solve -2*c + 2*l = 2, 2*c + 3*l - l = -f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49638280 and 4280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7252 + 7257. Sort i, 27, 1\/5.\nAnswer: 1\/5, i, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.02 (c) 37\/4 (d) -3 (e) 2\/13 (f) 1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 12 = -3*t, -b - 3*t = -6*t - 3. Suppose -3*p + 11*w = 6*w - 30, 2*w = -b*p + 30. What is the remainder when 28 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*d**3*j - 6*d**3*n + 2*d**3 - 13*d**2*j*n - 3*d*j - 10*n wrt j?\nAnswer: -3*d**3 - 13*d**2*n - 3*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(192) - sqrt(192)) + sqrt(192))*1 - (-3 + 2*sqrt(192) - sqrt(192)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 - 24. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -43, -3, 36 in descending order.\nAnswer: 36, 7, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2)\/(-6))\/((-5)\/(-795)) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 10137*l - 10136*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p + 5. Let h(t) = -15*t - 9. What is -3*h(g) - 5*l(g)?\nAnswer: 10*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3523 - 3523.2. What is the nearest to k in -0.1, 4, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 + 12*a + 96. Let y(t) = -5*t**2 - 22*t - 176. Let h(j) = -11*q(j) - 6*y(j). Let i(u) = -183*u**2. Determine i(h(w)).\nAnswer: -11712*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 29*s + 173. Determine a(-8).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*m**3 + 110*m**3 + 53*m**3.\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((-1*sqrt(180) + sqrt(180))\/sqrt(4) + (sqrt(90) + -2*sqrt(90))\/sqrt(2))\/(sqrt(9) + (sqrt(99)*-1)\/sqrt(11) + sqrt(90)\/(-1*sqrt(10))))**2*1.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 2, -1.\nAnswer: -4, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 8*y - 3*t - 38 = 0, 0 = -3*y - 4*t + 88. What is the remainder when y is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3420000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9.6 times 0.1\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(600\/(-16))*27\/(-333)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -917, -869, -833, -815, -821?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 183846518 plus -66508?\nAnswer: 183780010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1121 + -2?\nAnswer: 111d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 6 - 38 = 0. Suppose 5*k + 2 = -t, 94 = l - k. Suppose -3*j = j - l. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 8 = 0, 21*r - 66691 = 18*r - 2*q. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) 5426 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 1. Let b(i) = -5*i - 6. Let a(n) = b(n) - 4*v(n). Let j be a(0). Let d be (2 - 0) + j + 1. Sort -1, d, 4 in descending order.\nAnswer: 4, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 222112110210?\nAnswer: 222112110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.292285ng in micrograms?\nAnswer: 0.000292285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 297 (b) 2 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1382 times 3353?\nAnswer: -4633846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 19 - (-80 + 133 - 0).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.32889 centuries to months.\nAnswer: 69994.668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b + 28 = -12*b - 10*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -769, -5844, -19603, -46390, -90549, -156424, -248359, -370698?\nAnswer: -527785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (5 - (8 - 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 63*h - 1785. Let s(d) = 25*d - 746. Calculate 5*m(z) - 12*s(z).\nAnswer: 15*z + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7)\/(c*(c*((c*c\/((c**(-8)\/c)\/c))\/c)\/c)\/c))\/(c**(-1\/4)\/c)**10 assuming c is positive.\nAnswer: c**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-20)\/(-6))*((-408)\/(-666))\/(-17).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/13032 and 89\/724.\nAnswer: 13032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 61537504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(637) + 2 + (-2*(sqrt(637) + sqrt(637)*-4) - sqrt(637)).\nAnswer: 3 + 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -453020 (base 6) to base 3.\nAnswer: -1221110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.61 + 5.61. Sort d, -80, 4, 1\/5 in descending order.\nAnswer: d, 4, 1\/5, -80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 357 - 2607 = 0. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -482 - -2009\/4. Let c = 20 - k. What is the third smallest value in -2\/5, c, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -89665530 to the nearest 100000.\nAnswer: -89700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 594724 and 13364.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 - 4*d - 2. Let g be -5*(893\/(-133) - (-2)\/(-7)). Suppose -2*x + g = 41. What is s(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 18*x - 27. Calculate w(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/12)\/((49\/(-9))\/(-7)).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18140470.\nAnswer: 2, 5, 1814047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/25 and 2\/14085.\nAnswer: 70425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22202 divided by 5746.\nAnswer: 653\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -198 divided by 18?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8367, 10197, 12027, 13857?\n\"Answer: 1830*b + 6537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2644*w**2 - 22*w - 160. Let r be u(20). Round r to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8029535*b**3 + 3315403.\nAnswer: 24088605*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14012260 (base 7) in base 8?\nAnswer: -4745726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -0.02, 199, 7\/5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 111066\/55 or 2019?\nAnswer: 2019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 + 8 + 3*t**3 - 6 - 2*t - t**4 to the form d*t**4 + u*t**2 + c + n*t + f*t**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + 22640?\nAnswer: 22652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100011010110001011 - -1011?\nAnswer: 1000100011010110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in decades?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 3:30 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 9*q - 7. Let d be v(10). Suppose -3*n + 15 = 5*o, o - d = 3*n - 8*n. Suppose 27*j - 26*j = 0. Solve j*z + o = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4126, 8527, 12936, 17359, 21802, 26271?\nAnswer: 30772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (118 + -138 - (13 + 3))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -12*(-6)\/9 + 3. Let r be ((-7)\/(-28))\/((-4)\/(-160)). Which is smaller: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -127, -40, 97, 284, 521, 808?\nAnswer: 1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j*q**3 + 743460999*j*q**2 - 104*q**3 + 8*q**2 + 485*q - 2 wrt j.\nAnswer: q**3 + 743460999*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4194.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1285 (base 15) to base 9\nAnswer: -5368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a - 3. Let h be m(-2). Suppose -h*g + 11 = -1. Suppose -3*s + 78 = 3*r, g*s - 4*r - 104 = -2*r. What is the remainder when s is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 13\/((-312)\/112)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -13*c**3 - 8*c**2 - 8*c + 7. Is y(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -20*z**2 - 241*z - 20. Determine o(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021 (base 6) in base 4?\nAnswer: 12331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(1700) + sqrt(1700) + sqrt(1700) + -1)**2 - sqrt(1700)) + 5*(0 + sqrt(1700) - sqrt(1700)) + -2.\nAnswer: -70*sqrt(17) + 15303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -726 - -4?\nAnswer: -722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 382837707*w**4 + 1162888*w - 297 wrt w.\nAnswer: 4594052484*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 116*y + 113*y = 9*l - 150, -2*y + 95 = 5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 5. Suppose s*c - l - 6 = 0, 7 = -c - 5*l + 21. Let y(o) = 2*o - 4. Let x be y(c). Put 1, 2, x in descending order.\nAnswer: x, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15799 and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36904798738340\/3123 - 11817098154. Let z = -2\/3123 + i. Let k = z + -23147\/60. Find the common denominator of k and 91\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 263*m**2 - 3*m**3 + 84 + 2*m**3 - 517*m**2 + 254*m**2 as t + g*m + n*m**3 + h*m**2 and give t.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(13) - sqrt(26)\/sqrt(2)) - (sqrt(13) + -1*sqrt(13)*3))**2.\nAnswer: 20*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1146*w**3 + 1169*w**3 + 6*w - 6*w.\nAnswer: 23*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((44\/(-24))\/(-11))\/(4\/6). Let t(q) be the first derivative of 3 + 5\/3*q**3 - j*q**4 + 3\/2*q**2 - 7*q. Give t(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.803910975 rounded to 3 dps?\nAnswer: -0.804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 2) + 15\/5. Suppose a = 2*x - 0*x - 222. Calculate the remainder when x is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -40*f**5 - 3565*f**4 + 37825*f**3 - 125045*f**2 + 165075*f - 74250 = 0.\nAnswer: -99, 1, 15\/8, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3167 = -484*h - 1189 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbi when three letters picked without replacement from ibbxbbbbxbibbiibbx?\nAnswer: 55\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-1 + (-8)\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27928*o - 13971*o + 440 = 13917*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.09 + -0.09. Let k = r - 13. What is the closest to 0 in -1\/4, -4, k?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 12:58 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, w: 1, i: 1, s: 4, p: 2}. What is prob of sequence wmsp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 83098 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 44\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**4 - 339*k**2 + 3*k + 683*k**2 + 20*k**3 - 343*k**2 as h*k**3 + c*k**4 + p + l*k + b*k**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 1560579*j. Let l(c) = 5*c - 18. Calculate l(u(t)).\nAnswer: 7802895*t - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from {e: 1, x: 1, r: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 19, -3\/8, -17 in decreasing order.\nAnswer: 19, 4, -3\/8, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.0615 + 0.1125. Let i = 0.221 - b. Round i to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/7)\/((-2328)\/10185)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15374 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 b, and 1 p when three letters picked without replacement from {s: 1, b: 4, p: 1, o: 5}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 218 - 217. Suppose 4*w + z = -19. What is the closest to 0.2 in -0.2, w, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -d + 4, -5 + 2 = 3*p. Let l = 9 - d. Is 6 a factor of 7 + -2*2\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 896, 2034, 3172, 4310?\nAnswer: 5448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 40. Suppose 0 = -q*h - 44 + 184. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -3\/2 (c) -872 (d) 378\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/4 + (-34)\/(-8). What is the derivative of 2*x**4 + 2*x**a - 3*x**4 + 2 - 4 wrt x?\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -600530 divided by -1865\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 20*f**5 + 49675*f**4 - 963560*f**3 + 237785*f**2 = 0?\nAnswer: -2503, 0, 1\/4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-20) - 8\/20*-19) + 612. Calculate the greatest common divisor of w and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11770 + -11768. Sort x, -34, -3, -2, -6 in decreasing order.\nAnswer: x, -2, -3, -6, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*l + 231608 = 102*l. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2139, 16769, 56491, 133851, 261395?\n\"Answer: 2091*q**3 - 7*q + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2. Let f(c) = -4*c**2. Let n(v) = -15*v**2 + 2*v**2 + 26*v**2. Let s(x) = 11*f(x) + 4*n(x). Determine s(q(d)).\nAnswer: 32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 64713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 2*o - 14198 + 14179, 4*w + o = -48 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**4\/4 - 2*n**3 + n**2\/2 - 2*n - 21. Let u be (1 - 3) + (-2)\/(-1). Suppose v + u*v = 6. What is s(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5056.35 - 1643696\nAnswer: -1638639.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7713 + -6493. Calculate the remainder when r is divided by 136.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2725753*u + 2725753*u + 112*u**3.\nAnswer: 112*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 4233894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -31, -1, -8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3 (b) 11 (c) -125886\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2717261766.\nAnswer: 2, 3, 150958987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*m**2 - 86642227*m - 702735549 wrt m?\nAnswer: 10*m - 86642227","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.52562809 rounded to 0 dps?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3411 = 217*k + 7198 + 4242 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -843040*v**4*x - 2*v*x + 4432334*x wrt v.\nAnswer: -10116480*v**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*l - 29 = -5*u, 0 = -l - u + 16. Let y = l - 7. Calculate the lowest common multiple of -10*((-65)\/25 - -3) + 10 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = -5*d + 1744 - 1749, 0 = j - 3*d + 26 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 1:55 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8101786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 5*t**2 - 3. Let m(p) = -2*p**3 - 15*p**2 + 8. What is 8*f(a) + 3*m(a)?\nAnswer: 2*a**3 - 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37163, 37541, 37919?\n\"Answer: 378*q + 36785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -69.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 63*q**2 + 361?\nAnswer: 126*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 2:55 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 6. Suppose -5*i - q = -2*o, 2*o = -4*i + 7*o - 11. Let j be (-20399999)\/i - (-5)\/(-5). What is j rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26413876 to the power of 1\/3, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -5 + -1 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-12)\/99)*196\/(-21). Suppose 0 = -v*f + 156*f + 2. Which is the nearest to 0.5? (a) -0.4 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -20. Suppose -2*i = 3*z + 2, 0*i - 2*z = -4*i + 28. Solve 0 = k + 4*l + l - 12, 2*k - x = -i*l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -17, 4, -2\/3, -1\/3, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8502 divided by -109?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7413.577 milligrams to micrograms.\nAnswer: 7413577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 3*h - 6, p + 3*p - 3*p = -5*p + 8*p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/7 (b) -5 (c) 4 (d) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/((-15)\/2864)*129\/(-86)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -18026690?\nAnswer: 18026690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -543 (base 8) to base 16\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 2, r: 1, e: 3}. Give prob of sequence qk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29370253?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 206\/8 + 1\/4. Suppose -q + 2*p = 5, 2*q + 0*q - v = -5*p. Suppose m + 4*w = 34, -q*w = 4*m - 2*w - 136. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 18.9.\nAnswer: 94.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/70*((9 - 5) + -9))\/(1\/(-49))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103148*u + 103144*u + 3*p = -63, 4*p = 5*u - 78 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12944126311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**7\/30240 - x**6\/2160 + x**5\/480 - x**4\/24 + 4*x**3 - 62*x**2. Let t(v) be the second derivative of j(v). Factor t(p).\nAnswer: (p - 3)*(p - 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2313362, -2313388, -2313414, -2313440, -2313466?\nAnswer: -2313492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {g: 1, a: 2, r: 3, h: 2, c: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -63964633 at most -63964633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002466116 to five decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 790 and 4.48.\nAnswer: 3539.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 143, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1584194268 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(140)*-2 + sqrt(140))\/sqrt(4))\/((sqrt(405) + sqrt(5) - sqrt(5))*-2).\nAnswer: -4 + sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98 and 1358.\nAnswer: 9506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 35 + 8)*(-3*a**4 + 4*a**4 - 2*a**4) as x*a + r*a**3 + q*a**2 + j*a**4 + s and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**4\/7 - 692*i**3\/7 - 21921*i**2\/7 + 89282*i\/7 + 39176\/7 = 0 for i.\nAnswer: -83, -59, -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-240))\/((-6)\/8)*2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 2:41 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326704*g - 326727*g = 1265 for g.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-6)*f**(-2\/21))\/(f\/(f\/(f\/(f\/(f*f\/f**6)))*f)*f\/f**(3\/5)*f))\/(((f*f**(2\/11))\/f*f**4*f*f)\/(f**(-2\/5))**(3\/4)) assuming f is positive.\nAnswer: f**(-20737\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2565*x - 89237. Give p(-35).\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48395 (base 11) in base 4?\nAnswer: 101000233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 129*t**3 + 0*t**2 - 2*t + 63*t**3 - 2*t**2 + 186*t**3 + 4. What is the units digit of s(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 - -73.33. Let c = z + 1.07. What is the closest to -0.1 in -4, c, 0.8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, o: 2, z: 2, n: 3, k: 4}. Give prob of picking 1 k and 1 o.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u + 46. Give a(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177581 + 177581 - 6*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 6. Let s(p) = p**3 - p**2 - p + 6. Let f be s(0). Suppose 0 = -5*c - o - 37, -2*o + 2 = f. Let n = -7 - c. Give q(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -3\/14 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 s, and 1 c when three letters picked without replacement from {y: 2, s: 1, l: 1, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4\/7 + 2*i**3\/7 + 152*i**2\/7 + 40*i = 0.\nAnswer: -7, -2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 777669 divided by 10\nAnswer: 777669\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -146, -3, 1188 in ascending order.\nAnswer: -146, -5, -3, 2, 1188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 19 = -2*i + 5*i, 0 = 17*i - 22*i - 2*j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**5\/60 - 23*f**4\/24 - 11*f**3\/3 + f**2. Suppose -2*h = 4*t + 34, 5*h + 45 = 2*t - 52. Is 27 a factor of q(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -340952693*h**2. Let q(r) = -2*r**2. Give q(s(f)).\nAnswer: -232497477727904498*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6234 divided by 1.\nAnswer: -6234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -0.16, -5 in decreasing order.\nAnswer: -0.16, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/9 - 74*b\/3 - 224\/9 = 0. What is b?\nAnswer: -1, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, w: 7, q: 7, l: 1}. What is prob of sequence ol?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10498 = -120*a + 116*a - 3*b, 5*b - 30 = 0. Is 20 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*r - 672 = -48*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/9)*(z**34\/z)\/z)\/(z**9\/z*z)**(-1\/8) assuming z is positive.\nAnswer: z**(2369\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 + 0*x**4 + 5*x**4)*(-4*x - x + 0*x).\nAnswer: -20*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2619 - -5046. List the prime factors of k.\nAnswer: 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -137 + 299 - 140 + 19*s - s**2. Let q be z(20). Calculate the highest common factor of 4 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - 97. Let x = -100 - k. What is the greatest common divisor of 18 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*q - 9 + 15 - 4)*(-3*q**2 - 2*q**4 + 3*q**2).\nAnswer: 20*q**5 - 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 275829842 to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 18. Let o = n - -5.4. Let k = o - 2.9. Which is the second biggest value? (a) k (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/7 (b) -0.6 (c) -57 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 408879 at most -664\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/23*(-1)\/(-4). Let j = 8 - 4. Solve 0 = -j*d - l*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 195335 + -390571\/2. Factor -21 + 15\/2*l**2 + z*l.\nAnswer: 3*(l + 7)*(5*l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 468, 898, 1332, 1770, 2212, 2658?\nAnswer: 3108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 5*h**2 - 3524030*h - 648590800 = 0.\nAnswer: -184, 704990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k + 3702. What are the prime factors of k?\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45932 is divided by 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-5)))**(1\/78) assuming o is positive.\nAnswer: o**(5\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 392420?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + i + 11. Suppose -2*b + 39 = 5. Let o = b + i. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/(-44) - (-1260)\/720?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*o + 64*o - 4 - 8 + 17 as g + r*o and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5854 - 0.1.\nAnswer: -5854.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 0*m**2 - 115\/12*m**4 + 2 + 1\/6*m**3 + 15*m + 7\/2*m**5. What is the third derivative of t(v) wrt v?\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ammmmllmaa. What is prob of picking 1 m and 1 l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 - 21?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + 2 + sqrt(18) + sqrt(18))**2.\nAnswer: -380 - 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35.5 - 35.56. Which is the third biggest value? (a) g (b) 0.03 (c) -2\/3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(990\/(-33))*(-7)\/(7\/16)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 835 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 852119 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 265761 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*p - 14*p + 48. Calculate the smallest common multiple of p and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 21*m. Let l(a) = -713*a. Give -2*l(r) - 69*t(r).\nAnswer: -23*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -1533*f - 958126. Give g(-625).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 5, -9\/4, -2\/75, 2\/5.\nAnswer: -9\/4, -0.4, -2\/75, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 4*w - 12*w)*(3 + 2 - 4) + (5 - 4 - 3)*(-2*w - 3*w + 4*w) + 30*w - 10*w + 16*w.\nAnswer: 25*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94 - 89.24. Let c = q - 5. Round c to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54.9 + -0.00392988774.\nAnswer: 54.89607011226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + 1 + 1 - -5) + -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m - 31. Let w be g(9). Suppose -2*i = -3*j, -2*i - 2*j - 3*j = -32. Suppose -4*f + 10 = -i*f. Sort f, w, 2.\nAnswer: f, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 2:09 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6) + (-10)\/(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/9 - 68096*r**2\/9 - 2245270*r\/9 - 9524200\/9 = 0. What is r?\nAnswer: -34015, -28, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(2*j**3 - j**3 - 3*j**3)*(3*j - 3*j - j**2)*(-1 + 1 - 2).\nAnswer: -8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*z**4 - 32*z**2 - z**3 + 62*z**2 - 29*z**2 + 4*z**4 as x*z**3 + i*z**4 + b + j*z**2 + t*z and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/5)\/(q\/q**(-7\/6)))**(-14\/5))**17 assuming q is positive.\nAnswer: q**(9163\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46691 + 46751. Calculate the smallest common multiple of 429 and i.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.39 - 0.01. Let k = 121.8 + -122. Which is the second biggest value? (a) t (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*9\/(45\/1))\/(1\/17)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 12:40 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - d - 4*d + 34 = 0, q = -4*d + 11. Suppose -2*i + 9 + q = 0. What is the least common multiple of 60 and i?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -0.4, 5, 40.1, 2, -4?\nAnswer: 40.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n - 1. Let b be r(-1). Suppose 2*o = -20*o + 11 + 11. What is the closest to 0.08 in b, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**4\/12 + 19*n**3\/3 + 41*n**2\/2 - 73*n + 1. Let m be t(-37). Solve q + 0*q - m = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 0 - 6 = 4*s + 13 + 7, 0 = -5*s + 10*s + 20 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4936635 to the power of 1\/2, to the nearest integer?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 20. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a day in hours?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3226 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 52*b - 115. Let i(x) = -2*x**2 - 116*x - 231. Give 5*i(z) - 11*t(z).\nAnswer: z**2 - 8*z + 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t + 24. Let z be a(7). Put -4, 1, z, -5 in ascending order.\nAnswer: -5, -4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -504505\/92784 + -1\/11598. Let g = 4090493\/138 - 29644. Let b = g - -21\/23. What is the common denominator of c and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.97 less than 1.82007?\nAnswer: -25.14993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*s + 14, -v + s + 19 = -2*s. Suppose -8 = -5*o + 2*j, 0 = -v*o - j - 2*j + 11. Solve -5*a + 0*a = 0, -o*c - 4*a + 2 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6248266, -6248264, -6248262, -6248260, -6248258?\nAnswer: -6248256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*l**3\/11 - 105216*l**2\/11 + 1472142*l\/11 - 5151468\/11 = 0. Calculate l.\nAnswer: 7, 17522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2696834.4 rounded to the nearest 10000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 3*x**2 - 2 + 1 + x**2 - 2*x**2 + 2*x**2 + (4 + 3 - 5)*(3*x**2 + 3*x - 3*x) + 9*x**2 + 6*x**2 - 5*x**2 - 2*x**2 + 4*x - 4*x.\nAnswer: 18*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -8 - (-4 + 4 - (-14 - 0))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 419 or 422?\nAnswer: 419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 242*p**4 + 1373*p**2 wrt p?\nAnswer: 5808*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 246, 250, 254?\n\"Answer: 4*g + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 92909404 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12d1 (base 16) in base 10?\nAnswer: -4817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -407\/6 or 2\/3?\nAnswer: -407\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/(2\/(-4 + 6)). Suppose -s*v + 589800 = -7*v. Round v to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0303295 to four dps.\nAnswer: -0.0303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) -29 (b) 3 (c) -2\/9 (d) -5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -0*h - h. Let d(a) = 2*a + 11. Let p be d(-5). Calculate the greatest common divisor of h and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11440 - -0.3.\nAnswer: -11439.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (9\/(-405)*1299 - -18)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 23 = -2*u, 15*u + 3*a = -13*u - 395 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b\/(b\/b**1*b))\/b)**(-25)*b**(-1)*b**(-1\/4)\/b assuming b is positive.\nAnswer: b**(-109\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 g, 1 n, and 1 q when four letters picked without replacement from {r: 2, q: 1, c: 1, n: 3, g: 3, w: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -371 + -0.2?\nAnswer: -371.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 260795 or 260753?\nAnswer: 260795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*c - 3*c + 4275 + 5*c - 5*c + c - 3*c**2 + 11*c**3 with respect to c.\nAnswer: 33*c**2 - 6*c - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -1. Suppose 0*y = -n*y - 2. Let p = 5 + -7. Which is bigger: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 4*b - 5*b)*(6*b**3 - 2*b**3 - 2*b**3) + b**4 - 20*b + 20*b.\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and 0.01.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 28. Suppose 5*o - d = 74, x*o - 30 - 2 = d. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -191 + 298. List the prime factors of d.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 0. Suppose -5*v + 25 = -0. Let w = v - i. Solve 2*k = -k + 4*c + 8, -4*k = -w*c - 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 3:05 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(65)*-1)\/(-2*(sqrt(5) - sqrt(80))) - (4 + sqrt(65)\/sqrt(5)*-2)*6.\nAnswer: -24 + 25*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 532, 1315, 2400, 3781, 5452, 7407?\nAnswer: 9640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154348416 is divided by 1474.\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 1, u: 1, e: 1, p: 1}. Give prob of sequence ep.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 135\/4 - (-18)\/(-24) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-12) - (-37)\/(-4). Let a = -8 - g. Do a and -1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20858*b**2*r**2 - 483*b**2*r - b*r**2 + 3879*b*r + 2*b + 6*r**2 - 5 wrt b?\nAnswer: 41716*r**2 - 966*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = -0*g - 4*g - 5*b, 3*b = -3. Suppose -22*r - g = -33*r. What is the greatest common factor of r and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*f*l**3 - 25*f*l - 898*l**3 wrt f.\nAnswer: 10*l**3 - 25*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + -51 + -40 - -42.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -55 (b) -0.5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16263, 20, -7 in descending order.\nAnswer: 16263, 20, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4}. What is prob of sequence kk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 46\/6*(0 + 15). Suppose 7*u - 3*u + 3*x = 267, 0 = 4*u + x - 265. Let k = f - u. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156)\/9*78\/(-104)*(-7 - -6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(98) - ((sqrt(98) - 4*(-1*sqrt(98) - sqrt(98))) + sqrt(98))) + (sqrt(10) - (sqrt(360) + sqrt(360) + -1*sqrt(360)))\/(sqrt(25)\/sqrt(45)).\nAnswer: -78*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2754 divided by 918?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -727069, -1454720, -2182373, -2910028, -3637685?\nAnswer: -4365344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61\/6 + -137\/12. What is the biggest value in u, 7, 0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zej when three letters picked without replacement from ezvje?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n**2 + 2. Let w(z) = -1080*z**2. Determine t(w(s)).\nAnswer: 9331200*s**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 s, and 1 j when three letters picked without replacement from yjgygyssssngsssyg.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128250 and 570?\nAnswer: 128250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 441540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.10230431 - 0.1023. Round z to 7 dps.\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -26*w + 16. Let m(z) = -29*z + 17. What is 5*i(h) - 4*m(h)?\nAnswer: -14*h + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (1 - -11)) + (-141 - (-177 - -29))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 96810*f - 781014675.\nAnswer: -3*(f - 16135)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -25598595, -25598600, -25598609, -25598622, -25598639?\n\"Answer: -2*g**2 + g - 25598594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.09 (b) 6\/11 (c) 24 (d) 2 (e) 0 (f) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1367579 is divided by 177.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4445 and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 141, -200?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 224 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(2 + -8 - -3). Suppose z = -4*m + 5*m. Suppose -j + m*j = -19. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.184514 and 374.5?\nAnswer: 69.100493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-69)\/(-12) + (-3)\/4. Suppose 89 = 3*v - 3*f + 7*f, -2*v + 71 = c*f. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1573) + 3 + -2*sqrt(1573) + -2 - 3*(sqrt(1573)*-2 + 3 + sqrt(1573)))*-6*5)**2.\nAnswer: -1267200*sqrt(13) + 22881600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -243.5 + 244. Which is the third biggest value? (a) 0.4 (b) 3\/4 (c) 3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (5 + -5 + -7 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9526 - 0.1796. Let c = -0.823 + r. Is c bigger than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*d + 4. Let a(h) = h**2 - 8*h + 19. What are the prime factors of a(d)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110010011100001 - 1110?\nAnswer: -10110010011101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -13) + 0 - -8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -37958840, -75917678, -113876516?\n\"Answer: -37958838*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, i: 3}. What is prob of picking 2 d?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 47093240 rounded to the nearest one hundred thousand?\nAnswer: 47100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - s = -3*a + 32, 2*a - 33 = -5*s. Solve -4*z + 5*t + a = -13, -3*z + 9 = -3*t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181613 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1)*c\/(c**(17\/4)\/c)*c)**(-16\/11))**41)**46 assuming c is positive.\nAnswer: c**(67896\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1383203.639 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85 - 31. What is the common denominator of 89\/10 and -3*b\/56 - 4?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, x: 1, s: 9, v: 3}. What is prob of sequence ssx?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*-1631*1\/9. Let x = i - -181. Let k = -3.99 + 4. Which is the biggest value? (a) k (b) x (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 296 = 188. What is the second derivative of 121*n**4 - 5*n**5 - o*n**4 + 19*n - 7*n**3 wrt n?\nAnswer: -100*n**3 - 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 424.3 - 424. What is the nearest to -2\/3 in 5, r, -3, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**5\/6 - 25*z**4\/2 - 125*z**3\/2 - 625*z**2\/6 = 0 for z.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7. Let q(v) = -v - 12*v - v**2 - k + 0*v**2 - 1. What are the prime factors of q(-11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -h - 3*o + 30, -h = -o - 24. Let w be 69\/h + -1 + -2. Suppose z + 3*q + 13 = 0, 2*z + 2*q = -0 - 10. Which is greater: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 3. Let v(u) be the second derivative of u**4\/6 + 7*u**2\/2 - 44*u. Determine -7*c(x) - 3*v(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 63\/(-72)*((-91)\/49)\/13. Let i = -6 + 4. Which is the third biggest value? (a) i (b) x (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-28 - (-6 - (-7 + -8 + 9))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 0 - 7\/60*m**5 + m**2 + 0*m**4 - m**3 - 1\/120*m**6 + 17*m. What is y(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 14 - -2 - 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -21\/61, 0?\nAnswer: -21\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o - 9. Let c be n(-5). Suppose -5*y + 57 = -13. Let w(k) = k**2 + 8*k + 10*k + 6 - y*k. Give w(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 - 2 - (0 - 0). Let t be 1*m\/(0 + 2). Solve -2 = 3*z - t*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3273860286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*5*(sqrt(1872) + -1)*-5*-3)**2.\nAnswer: -2160000*sqrt(13) + 168570003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8 + 3.2. Suppose 5*z = -2 - 8. What is the third smallest value in z, 0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -25*n - 68. Calculate f(-7).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4491 - -6929. Let r be d\/((-6)\/(-15) - 0). Let u be (-1)\/(-2) + r\/10. Round u to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74760529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 6*o + 51. What is the remainder when 265 is divided by d(8)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - -21) + 16 + 35 + -4 + 5\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5059 (b) -16 (c) 698\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47852 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(192) + sqrt(192))\/sqrt(12))\/sqrt(8).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 834162 is divided by 111?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239129 is divided by 1657?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.9 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 5*b - 31 = -l, 18 = -l - 3*b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*j = 9715, -2*y + 5*j + 3531 = -376. Suppose 5*x - y = -9*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2087470 and 0.2.\nAnswer: 417494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.418735572 less than -3?\nAnswer: -5.418735572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125.4316 litres to millilitres.\nAnswer: 125431.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 1\/525*c**7 + 1\/60*c**4 + 15*c**2 - 1\/150*c**5 + 0 + 0*c + 0*c**3 - 1\/300*c**6. Factor t(m).\nAnswer: 2*m*(m - 1)**2*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*s + 56*s = 192. Suppose -3*u = -5*u. Suppose -s*c - c + 561 = u. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 653 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4740652664 - -1.126\nAnswer: 4740652665.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 164 + -167. Let y be (n\/(-6) - 1)*0. Solve 3*b + 0*b = y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2552 divided by 198.\nAnswer: 116\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*p - 691 = 5*u, -5*u = -20. Calculate the greatest common divisor of p and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8\/19 - -158\/285. Which is the closest to 1? (a) g (b) -1 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**2*s**3 + 6*b**2*s**2 + b**2 - 760*s**3 - 27*s**2 wrt s?\nAnswer: 6*b**2 - 4560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*z - 6349. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/5442 and 35\/7256?\nAnswer: 21768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**3\/3 - l**2\/2 - 2*l - 27. Let m be j(-2). Let f be (9\/m)\/(6\/(-56)). Calculate the greatest common factor of f and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.85343804 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -353 + 454. Which is smaller: g or 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 694cb + 2?\nAnswer: 694cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 3*q - 5. Let f(p) = p**2 - 11*p + 4. Let w be f(5). Let k = 46 + w. Suppose -6*z + k = -2*z. Give r(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**4\/6 + b. Let x(l) = -l + 14. Let r(g) = 5*g - 77. Let m(d) = -2*r(d) - 11*x(d). Calculate m(u(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-145)\/(-20) - 9)*(2 - 30\/9).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-60)*-6 + (-90)\/(-25). Solve 12 + 8 = l*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.13, 3\/2, -2864?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 7*b + 2. Let h be n(-7). Suppose 4*k = 6*k - h. Calculate the lowest common multiple of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.8954 + 10774.3046. What is v rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a + 15 = -25*a. Sort 1, 14, a in decreasing order.\nAnswer: 14, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -118070*c**5 + 188302*c wrt c?\nAnswer: -2361400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(2\/(-12 + 2)). Let p = 26 + b. Let g = -187 - -308. What is the greatest common divisor of g and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.018026473769 - -244.\nAnswer: 243.981973526231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 17. Let l be 8 - 2 - (-5 - -9). Suppose 4 = t - l*x, 2*t + 4*x + 0*x = 40. Give f(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4002003 and 517?\nAnswer: 44022033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 g when three letters picked without replacement from {w: 2, d: 2, p: 1, m: 7, i: 4, g: 4}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61*g - 1074488 + 1078575 for g.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -233846 at most as big as -233849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 10*g**2 + 3*g + 25. Let n be m(-10). Which is the fourth biggest value? (a) 0 (b) -6 (c) 0.14 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 7*x**2 + 4*x - 31. Let h be s(7). Put 3, h, 139 in descending order.\nAnswer: 139, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k - 6*k + 3*k + 4*k - 1. Let u be j(-5). Suppose -2*l - 845491 + 5495 = o, 0 = 2*l + u*o + 839984. Round l to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a64 (base 11) in base 13?\nAnswer: 125b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 6.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1390685.\nAnswer: 5, 17, 16361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*l - 4 = -0*l, h - 1 = -l. Let j(a) = 17*a + 376. Is j(h) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -13\/36*v**4 + 0*v + 1\/9*v**5 - 20 - 1\/180*v**6 - 2*v**2 - 8\/3*v**3. Factor p(z).\nAnswer: -2*(z - 8)*(z - 3)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**6\/360 + m**4\/4 + 2*m**3\/3 + 8*m. Let o(f) be the second derivative of h(f). Is o(-7) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, 0.4, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 3, f: 2, r: 1}. What is prob of sequence sf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylq when three letters picked without replacement from qylueeeuqeyyleeeyeyl.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 307999*d**2 - 4*d + 7. Let c(v) = 615998*v**2 - 8*v + 15. Let p(w) = 2*c(w) - 5*m(w). Let u be p(-5). Round u to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + -8*(-1)\/((-24)\/(-2022)). Let s = 902 - d. Calculate the highest common divisor of s and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6027.577us to seconds.\nAnswer: 0.006027577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 5*m**2 - 2*m + 5. Let y be k(-5). Suppose -54*g + 106 = -56. Solve d - g*o - y = 0, 25 + 0 = d - 5*o for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1837, 7227, 16207, 28777?\n\"Answer: 1795*c**2 + 5*c + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 3*j - 200, 5*c - 10*c + 448 = -5*j + 773 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 6:03 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 226.\nAnswer: -45.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 3*u**2 - 5*u - 5. Let k(i) = i**3 + 2*i**2 + 3*i + 3. Give -3*c(a) - 5*k(a).\nAnswer: -2*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -16*u - 20. Let b(d) = -4*d + 1. Let c(a) = 5*b(a) - j(a). Let r(x) = -x. What is r(c(v))?\nAnswer: 4*v - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/16780 and -104\/138435.\nAnswer: 553740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.3, 45\/8, -6, 0.9, 5, -0.2 in descending order.\nAnswer: 45\/8, 5, 0.9, -0.2, -2.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 1776c?\nAnswer: 1776b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191532939?\nAnswer: 3, 13, 19, 59, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 12 - -1*9\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 q when three letters picked without replacement from yqrdqww.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5406417.\nAnswer: 3, 521, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**4\/4 - 22*l**3\/3 - 19*l**2 + 24*l - 215. Is 22 a factor of w(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.005?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 78 = 80 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**3 + 5*f**2 - 3*f. Let r(a) = -3*a**3 - 11*a**2 + 5*a. Suppose -23*m = 5 - 74. What is m*r(p) + 5*j(p)?\nAnswer: p**3 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 7*o**2 - 62*o - 1021. Calculate r(-12).\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 699711 at most as big as 699707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -219, -9, -5, 145 in increasing order.\nAnswer: -219, -9, -5, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q - 4. Let l(s) = -158*s - 56. Let r(h) = -28*h - 11. Let f(t) = 2*l(t) - 11*r(t). Determine -9*a(v) - 4*f(v).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-12))\/((-3)\/(-12))*-829. Let d = o - 581. What is the remainder when d is divided by 85?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1422, -2846, -4270, -5694?\n\"Answer: -1424*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18, -272, -968, -2328, -4574, -7928?\n\"Answer: -37*h**3 + h**2 + 2*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -93039000 to the nearest one million.\nAnswer: -93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68874 - 7*(-3)\/(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2.213107cm?\nAnswer: 0.00002213107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 + 93. Let v = t + -36. Let j(g) = 26*g**2 - v - 10 + 19. Let b(x) = -2*x**2. What is j(b(u))?\nAnswer: 104*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*w - 21, 13*r = 4*w + 9*r. Put 0, w, -1, 13 in descending order.\nAnswer: 13, 0, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/9 + -2 + (-2072)\/(-999)*(-18)\/(-33).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirty-four fifths of a microsecond?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-10)\/(-4))*(-13770)\/(-3213)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -120121 (base 5) to base 2\nAnswer: -1000100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -463\/2, 0, -2\/9, 79, -0.3?\nAnswer: -463\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336528?\nAnswer: 2, 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15146760 (base 9) in base 15?\nAnswer: 9db3ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -5*u - 3*f + 4, 0 = 3*u - f + 6. Let s be (-707)\/(-140) - 1\/(-4). Let y = -987\/190 + s. Which is bigger: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*13*(-5298)\/(-149227)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*d + 2 - 49*d - 46*d - 22*d**2 + 65*d**2 to v*d**2 + o + h*d and give v.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 + d + 0*d**2 + 21 + 0*d**2 to x + r*d**2 + y*d and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16496?\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -315383, -630600, -945803, -1260986, -1576143, -1891268, -2206355?\n\"Answer: l**3 + l**2 - 315227*l - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.08 (b) -0.7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28990229 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**5 + 2*f**4 - 66512496*f**3 - 597*f**2 + 7592*f - 2 wrt f?\nAnswer: 60*f**2 + 48*f - 399074976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 - 211*a**2 - 199*a**2 - 160*a**2 + 570*a**2.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 14) to base 9\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1390065 divided by 5?\nAnswer: 278013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 4, 5\/4, -2.9, -0.1, -0.006?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*i**3 + 1 - 15*i**3 - 189 + 189 + (-2*i + i - i)*(-3*i**2 + 0*i**2 + 4*i**2).\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 14202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -47*k - 1601. Let r be y(-34). Let q = -2 + 1. Suppose -3*u + 23 = -1. Put r, q, u in increasing order.\nAnswer: r, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355*m = 666*m + 44924 for m.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 23*q + 25. Let c be z(-22). Suppose 0 = 2*o + i + c*i + 32, i = o + 31. Let n = o + 31. Solve 5*h + 15 = 4*u - 15, 35 = -5*h + n*u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -8\/7 - 32\/7*d + 18\/7*d**2 = 0.\nAnswer: -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 1 - 987*k + 982*k + 3. Let z be c(5). Let j(v) = v + 1. Let o be j(z). Solve 4*l - 5*s = 3*l - 19, 1 = -4*l - o*s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145494?\nAnswer: 2, 3, 59, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3753655290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + x + 3*x + 106, -4*d - x - 76 = 0. Let y be d\/(-351)*13 - 1\/15. What is the closest to -1 in -2, 1, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(1641 - 1641 + 17*u) - 8 - 2*u + u - 2*u.\nAnswer: 31*u - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/((-55)\/(-270))*2\/(-6). What is the first derivative of 35*i - 23*i + 2*i**4 - f*i - 10 wrt i?\nAnswer: 8*i**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -1871.\nAnswer: -561.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 231502 at most as big as 231505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-4)*(1 + 0). Let h(v) = -15000*v**3 - v**2 - v. Let n be h(l). Suppose 5*k + 0*k = -n. What is k rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3424 and 576302?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-6))\/(52\/32*-6).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -2*c**6\/9 - 8*c**5\/5 - 37*c**4\/12 - 7*c**3\/3 - 2*c**2\/3 - 94. Determine g, given that n(g) = 0.\nAnswer: -4, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-16 + 11)) + -4 + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i*r**2 - 123*i*r - 4625*i - 3*r**2 wrt r?\nAnswer: -4*i*r - 123*i - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 10. Let h be b(7). Suppose 0 = -h*u + 5 + 4. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 22 + 13736*m + m**3 - 13736*m - 40.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*2\/4*2. Suppose b = 4*w + 5*s - 268, -3*w - 4*s + 200 = -0*s. Suppose -8*j + 4*j + w = 0. What is the highest common divisor of j and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7239854 decades in centuries?\nAnswer: 0.07239854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-7 - (2 - 4)). Suppose -3*b = r*z, 1 = 3*b + b + 5*z. Solve 0*k = -k + 5*f - 2, -8 = b*k + 5*f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -54. Calculate the smallest common multiple of 16 and t.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -86*g**4 - 636056\/3*g**2 + 1\/3*g**5 + 0 + 7396*g**3 + 0*g = 0. Calculate g.\nAnswer: 0, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*k + 4*r, 4*k - 5*r = -4 + 2. Find the common denominator of 3\/8 and (-126)\/k*2\/(-10).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**2 - 1. Let o be n(-1). Solve -3*g = 4*i + o, i = 3*g + 2*g + 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 341172 divided by 27\nAnswer: 12636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81769, 163547, 245331, 327121, 408917, 490719?\nAnswer: 572527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 10:10 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 692306339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 5*g - 1. Let u be k(-5). Let s(m) = -m**2 + 6*m - 1. Calculate the remainder when 19 + ((-1)\/u)\/1 is divided by s(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52116?\nAnswer: 2, 3, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 72187 + 2*v**2 - 144487 + 72300.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 divided by 70?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19203898 rounded to four dps?\nAnswer: 0.192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 5*r + 2. Let a be h(-5). Solve 5*q + 3*b = 26, -2*q + 4 - a = -3*b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**5\/15 - 5*t**4\/12 + 7*t**3\/9 - t**2\/2 - 595. Factor z(i).\nAnswer: i*(i - 3)*(i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*h = 42, 2*p = 6*p - h - 28. Let a(x) = -111*x + 1225. Let s be a(11). Put s, -5, p, -1 in ascending order.\nAnswer: -5, -1, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -665517, -1330243, -1994973, -2659707, -3324445, -3989187, -4653933?\nAnswer: -5318683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*l + 13*l + 6. Let c(p) = 7*p**2 - 14*p**2 + 9*p**l. Let n(w) = -6*w. Give c(n(t)).\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 38*t**2 - 1 - 2 - 46*t**2 to b + o*t + y*t**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2112) - 1*(sqrt(2112) - -2*sqrt(2112)))\/(sqrt(88)\/sqrt(2)*-1).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouehx. Give prob of sequence oxh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 65 - 30. Let f(p) = p**2 - 7*p - 6. Give f(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -12 + 8 + -4 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -203*y**7\/30 - 782*y**3\/3 + 855*y**2. Differentiate h(n) with respect to n.\nAnswer: -5684*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 816 is divided by 82.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-849)\/15 - 8\/20. Let m be f\/2 - (-3)\/(-2). What is m rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k**2 + 21*k + 113 + 16*k - 49. Let x(a) = 14*a**2 + 74*a + 129. Let g(z) = -9*w(z) + 4*x(z). Differentiate g(p) with respect to p.\nAnswer: 4*p - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108797\/6 - 18136. What is the common denominator of f and 79\/12 - (1 - 3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 36*k - 1. Let a(v) = 72*v - 2. Give 6*a(u) - 13*w(u).\nAnswer: -36*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45202200 to the power of 1\/2, to the nearest integer?\nAnswer: 6723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 + 14*w**3 - 34*w**2 + 18*w.\nAnswer: 2*w*(w - 1)**2*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 4:32 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -3\/7, 0, -353?\nAnswer: -353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 108770000 rounded to the nearest one million?\nAnswer: 109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 1:18 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 692.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0 = -3, -3*t = -4*b + 3265. Suppose -5*k + b = 3*j, -k - 3*j + 38 + 132 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -o - 5, -6*h = -6*h + 5*h + 5*o + 25 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 10, n: 2, u: 2}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3171 - -2043. Let w = -662 - a. Round w to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**4\/4 + 5*p**3\/3 + 3*p**2\/2 - 2*p - 1. Let q be f(-4). What is the lowest common multiple of (-2*q)\/(2\/(-8)) and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176639077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + p = 34, -r + 2*p + 34 = 7*p. Suppose 4*f = -3*x - r + 56, -15 = 3*f. Calculate the remainder when 51 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 993 = -t, 3*x = -3*t - 2*x - 2995. Let g = -486 - t. Is 2 + g\/(1 - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6432864110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1025683 divided by -153?\nAnswer: 1025683\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 324177389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 1. Let d(g) = -5*g - 60. Let j(y) = d(y) - 2*m(y). Let r be j(-18). Let q be ((-2)\/r)\/(-3 + 4)*-3. Sort -0.1, -2, q.\nAnswer: -2, q, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**42*p**4\/p*p**(-7))\/((p*p**2)\/(p\/p**0)*p**7*p**(-1)*p*p*p) assuming p is positive.\nAnswer: p**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/3 + 307774*k\/9 + 102592\/9.\nAnswer: -2*(k - 51296)*(3*k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 75. Let w = n - -77. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.955 to 1 decimal place.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 342133, 684265, 1026397, 1368529?\nAnswer: 1710661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*750\/240 - (15 + 1)\/2.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 4*p - 8. Let m be n(-2). Suppose -4*j = -m*a - 48, -2*j - 22 + 6 = 3*a. Let u(k) = k**2 + 9*k + 6. Determine u(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 6:49 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11072)\/33216*(18\/(-190))\/3.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*n + 1391 = 95 + 71 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 8:22 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - g**2 - 2*g + 4. Let j be m(0). Which is the nearest to -1? (a) -3 (b) -0.03 (c) 0.2 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2745837358?\nAnswer: 2, 11, 9521, 13109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9.56 and 0.112.\nAnswer: 9.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g - 4. Let l(a) = 14*a - 11. Let t(n) = -4*l(n) + 11*x(n). Let w be t(-6). Let u(v) = 2*v + 4. Let h(o) = -1 + 2 + 0. What is w*h(f) - u(f)?\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91040057 to the nearest integer?\nAnswer: 9541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 57 - 1898 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.5 (b) -0.4 (c) -4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**6\/120 + b**5\/60 - b**4\/24 + 650*b**3 - 2*b**2. Let l be s(0). Round l to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10324357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*2\/4*6. Let w be (10\/4)\/(c\/6). Let v be (-2)\/w + (-9)\/(-10). Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(-190) - (-126)\/4860?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 h, 1 p, and 1 m when four letters picked without replacement from imhnehpn?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120 divided by -5?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41564 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5814*d**3*i*q + d**3*i + 50*d**3 + 25*d**2*q - 3*i*q + 29*q wrt i.\nAnswer: -5814*d**3*q + d**3 - 3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q. Let b(w) = -4*w. Let k(a) = 4*b(a) - 3*i(a). Suppose -4*y = -0*l + 3*l - 35, -y - 3*l = -20. Let x(f) = f - 8*f - y*f. Give x(k(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 20*i + 44. Let o be t(-18). Suppose 20 = 5*d + 4*m, -3*d + o*m = 4*m + 20. Solve v + d = -3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3736740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, h: 11}. What is prob of picking 2 n?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - sqrt(110)*-2*5)*5)\/(-3*-1*-2*sqrt(10))*2*5.\nAnswer: -275*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*f + 42. Let t(u) = -2 + f*u + 5*u - 3*u - 7*u. Determine t(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 30 = -5*t. Is 5*t\/(-45)*-6 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1394 or 5614?\nAnswer: 1394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*l = -0*x + 494975, 5 = l. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 579, 2325, 5235, 9309, 14547, 20949, 28515?\nAnswer: 37245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.79 + 2. Let n = -0.27608 + 0.77608. Sort 0.1, -2\/5, v, n in decreasing order.\nAnswer: n, v, 0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-17) - (-1305)\/255. Let i(y) = 174*y - 159. List the prime factors of i(c).\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbao when four letters picked without replacement from bbbooboabopboob.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -342362 + -130?\nAnswer: -342512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j - 15. Let r = 10 + 0. Let f be o(r). Let s = -14 + f. Calculate the smallest common multiple of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07 - 0.08. Let t = 0.9 + -1.55. Let a = t - g. What is the biggest value in 0.5, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.97 - -0.03. Let n = o + -7. Let t = 4.2 + n. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 650284 and 25423432?\nAnswer: 8908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03952583 to 3 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -19*c. Let z(p) = -8078503*p. Calculate u(z(a)).\nAnswer: 153491557*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -40, -86, -168, -298, -488, -750, -1096?\nAnswer: -1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(1332\/12*(-14)\/(-4))*-7.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111136*m - 111140*m - 4*l = -32, 11*m + 2 = -2*l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -153710.212 rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*1\/1*(-48)\/(-80).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -49*f - 1. Suppose 2*p + 0*p = -4. Let u be k(p). Suppose -u = -2*h + 9. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5 = -3. Let a be r*((-4 - (-4 + 1)) + -486). Suppose 4*u - 2*u = 3*k + a, -k = -u + 245. Round u to the nearest ten.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1670.3024 and -0.157727.\nAnswer: 1670.144673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z + 2*z - 3*z + (-2 - 4 + 4)*(3*z + 0*z - 2*z) + 2 - 14*z - 2 in the form f*z + c and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251293255.\nAnswer: 5, 47, 739, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, v: 5, q: 2}. Give prob of picking 2 v.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1018*q + 3224*q - 1166*q - 1040*q - 2*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 1 + 101 + -73 + -36.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 849582?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 + (10 - 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from {e: 1, g: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 + j**2 - 2*j + 6. Let l = 2 + 2. Suppose 4*h = 3*z + 23, -2*z + 0*h - 2 = l*h. What is the tens digit of k(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-18))\/(5900\/84960)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h - 28 = -20*h. Let x(s) = s**3 - 2*s**2 - 10*s - 1. What is the hundreds digit of x(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**6\/360 - 167*f**5\/180 + 337*f**4\/72 - 169*f**3\/18 - 3*f**2 + 244. Determine t, given that n(t) = 0.\nAnswer: -169, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23\/2*t + 21\/4*t**2 + 1\/4*t**3 + 0.\nAnswer: t*(t - 2)*(t + 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/79 in -19, 3, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51114554 + 0?\nAnswer: -51114554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10741, 21528, 32373, 43306, 54357?\nAnswer: 65556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**2 - 72*o - 260 = 0.\nAnswer: -13, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5216195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((0 + 0 + sqrt(2057) - (-2*sqrt(2057) + -1 - sqrt(2057)) - (4 + (sqrt(2057)*1 + sqrt(2057))*3)) + -3)*-1.\nAnswer: 4 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13844 or -164?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 11*g**4\/4 + 5*g**3\/6 - 3*g**2\/2 + 30*g. Suppose p + 23 = -4*w, 3*w + 5*p + 14 = -16. Is r(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1544 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 -30*m = -25*m - 465. Suppose m = -8*l + 21. Is -13 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 40 = 6*k. Find the common denominator of 70\/k + (-1)\/2 and 11\/(3\/((-3)\/(-10))).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -215562\/367835 - -8\/5659. What is the common denominator of -41\/143 and d?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*k**2 + 4 + 22*k**2 - 4 - 79*k**2.\nAnswer: -177*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 168160.\nAnswer: 840800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 11*x**2 - 7*x - 170. Let v(a) = 2*a**2 - a + 5. Let w(y) = g(y) - 5*v(y). Let d be w(15). Factor -5\/2*h**2 + d + 2*h + 1\/2*h**3.\nAnswer: h*(h - 4)*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 11*d - 45. Give i(10).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203662.\nAnswer: 2, 79, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -0.0654, -0.1 in descending order.\nAnswer: -0.0654, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (56\/315)\/(44\/(-3245)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*x - 43 = -h, -3*x - 117 = 2*h - 136 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - n + 5*n + 6*n**3 - 2*n.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 - 1.2. What is the closest to 0 in -3\/8, -0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-480)*-4*3*1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = -5*s + 144. Suppose -227 = -3*l - s. What is the remainder when l is divided by 2\/4 - (-111)\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4469719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10009.7 and -0.0528.\nAnswer: -528.51216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 29*a**2 + 32*a + 104. Let s be i(-28). Let l be ((-5)\/((-60)\/(-9)))\/(-11 - s). Solve -1\/2*o + 0 - l*o**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/((-440)\/(-160))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 124*x - 10. Let c be r(7). Let o be (1 - (2 + -2))*10. Suppose -o*q + c = q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*s**2 - 22*s**2 - 16*s - 17*s**2.\nAnswer: 3*s**2 - 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48986*s**2 + 0*s - 49040*s**2 - 2*s**4 - 5*s + s to y*s**4 + g*s**2 + b + p*s + d*s**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 859, 1717, 2575, 3433?\n\"Answer: 858*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3627582 divided by -42.\nAnswer: -86371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a millennium in months?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 152\/16)*4\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -8, -5, -1690, 5 in decreasing order.\nAnswer: 5, -3, -4, -5, -8, -1690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.633 * 4\nAnswer: 2.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -858928 or -1\/3?\nAnswer: -858928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/5, 3\/4, -10, 547, 2\/5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, b: 13, k: 2, u: 1}. Give prob of picking 2 b and 1 l.\nAnswer: 78\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4060*k**3 - 116095*k?\nAnswer: -24360*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -11. Which is the closest to 0.1? (a) t (b) 0.3 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.61 + -0.91. Suppose -2 = 2*k - 6. Let u = 8 + -3. Which is the nearest to d? (a) k (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) - (-3235)\/20. Suppose -2*j = -j - u. Suppose 0 = -5*w - x + j, 5*x - 138 = -w - 3*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-15)*3*1. Let k(t) = -2*t - 8. Let c(z) = -z - 14. Let j be c(-7). Let x be k(j). Solve -v - x = -2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 + -167 + (-6 - 0)\/6. Let q = -3 + 9. Calculate the lowest common multiple of b\/(-18) + 6\/(-9) and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 9*m + 80. Let w be m\/(-2)*(3 - -1 - 2). Solve 0 = -p + w - 17 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427406057 divided by -81459?\nAnswer: -17523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/387)\/(-5*(-1)\/45)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(1*3\/27). Suppose -4*j = -10 + 14. Let g be 9\/(j\/((-22)\/2)). What is the highest common divisor of g and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -908, -3642, -8204, -14600, -22836, -32918, -44852, -58644?\nAnswer: -74300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1377) + 4)*-3*2.\nAnswer: -54*sqrt(17) - 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86\/(-4)*(-6)\/3?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7 + m + 3*m**2 + 10 + m. Let x(h) = 8*h**2 + 6*h + 8. Suppose -64*b + 338 = -366. Calculate b*t(i) - 4*x(i).\nAnswer: i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 125, 489, 1107, 1985, 3129?\n\"Answer: p**3 + 121*p**2 - 6*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387 + 327 = 15*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*s = -6. Let i be -3 - (s + -1)*-80. Calculate the highest common factor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*-4*5\/(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cio when three letters picked without replacement from coivaoiii?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.323 + 0.077. Sort 7, 0.2, z in increasing order.\nAnswer: 0.2, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 - 445. Let s = -503.999999781 - y. What is s rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1206567474 times -0.3\nAnswer: 361970242.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 3. Let b(p) = -p + 2. Let g be b(2). Let k be j + g + (-35)\/(-7). Solve 0 = -k*w - 2*m + 4, -4*w - 3*m + 1 = -1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 676191510 - 676191510.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -119854, -234589, -349324?\n\"Answer: -114735*q - 5119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198 divided by 1658.\nAnswer: -99\/829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-4))\/((-460)\/(-368)). Suppose t*v - 4*i = 3784, 5*v - 8853 = -3*i + 594. Does 90 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 6*j = 8, 0*u - 2*j + 1 = u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/(-55*(-34)\/935)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 180*l - 2053. Calculate the remainder when g(-11) is divided by 5\/(-1 - 9\/(-8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 8*q - 6*q. Suppose 0 = 15*d - q - 31. Calculate the common denominator of ((-2)\/d)\/(((-2)\/116)\/1) and 2\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c + 3300 = 0. Suppose l - 2*l = -c. What is the units digit of ((-3)\/5)\/((-11)\/l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59233 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 + 90 + 5*s**2 + 27*s - 46 + 122*s as q + c*s + h*s**2 and give c.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfanasnasanansnnfa. Give prob of sequence fss.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2183 - 1290.251635?\nAnswer: -3473.251635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2686 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5762778654?\nAnswer: 2, 3, 960463109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25097 + 3?\nAnswer: 25100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1101111000110001000110 (base 2) to base 11\nAnswer: -2067096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + sqrt(405) + 4*3*sqrt(5))**2 - (sqrt(180)*2)\/(sqrt(72)\/(sqrt(56)\/sqrt(7))).\nAnswer: -4*sqrt(5) + 2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 25472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -f, 2*z - f - 7 = 3*z. Let l(m) = 8*m. What is l(z)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -590105 (base 12) to base 10\nAnswer: -1430933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 230506378 to the power of 1\/2, to the nearest integer?\nAnswer: 15182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 7*r. What is the remainder when 15 is divided by w(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 792832, 792833, 792834, 792835, 792836?\nAnswer: 792837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -4 - -1) + -9 + 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 520 = -130. Calculate the remainder when v is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -324631.4 to the nearest 1000.\nAnswer: -325000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*v - 95 + 385. Solve -5*c + 9 = v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*m**2*r**3 - 2*m**2*r - 56*m*r**2*w - 305*r**3*w + r**3 wrt m?\nAnswer: 4*m*r**3 - 4*m*r - 56*r**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j**2 + 4*j + 136. Let h(t) = t**2 - t - 34. Let c(k) = -9*h(k) - 2*s(k). Suppose 31*q = 37*q. What is the tens digit of c(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -2. Let a = 33 + u. Let i be a\/9*(-4)\/(-2). Solve -i*j - 14 = -2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11601, -23208, -34819, -46434, -58053, -69676?\nAnswer: -81303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 287 or 286?\nAnswer: 286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1867*h + 1868*h + 985 + 533 in the form z*h + t and give t.\nAnswer: 1518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 147767\/6 + -555157307\/22542. Let t = x + 2\/289. Find the common denominator of t and 69\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**4\/6 - 3*i**3\/2 - 4*i**2 + 84*i. Does 51 divide v(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63795 and 390?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**3\/3 + 2*h**2 - 1. Let g = 1 + 2. Calculate r(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnonnroronnornrnnrnr. Give prob of sequence norr.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1426*l**2 - 123*l**2 - 7 - 155*l**2 to i*l**2 + k + y*l and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -4 + (5 + -1 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 579657 and 356.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - 2*j - 6*j in the form b*j + m and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 2*l + 3*l)*(-3*l**3 + 3*l**3 - l**3) + l**4 + 0*l**4 + 0*l**4 + 6*l**4 - l**4 - 3*l**4 - 140*l**4 - 1334*l**4 - 129*l**4 - 154*l**4.\nAnswer: -1752*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 13*h - 6. Let u be o(-9). Let b = u - -137. Solve 6*c = b*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153048621.\nAnswer: 3, 11, 227, 20431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 2*j - 3*j)*(0*j + j - 2*j) - j**2 + 0*j + 0*j + 0*j**2 - j**2 + 3*j**2 + 3*j - 2*j**2 - 3*j + (3 - 1 + 3)*(-2*j**2 - 4 + 4).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -10503\nAnswer: 1\/10503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3805 + 3798. Let r = -0.1 + 0.1. Let h = 1 + r. Which is the closest to h? (a) l (b) 0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.2 (b) -0.4 (c) -0.5 (d) -0.1 (e) 26244\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**4\/3 - 4*o**2 + o - 1216. Let c(s) = -110*s**2. Give w(c(u)).\nAnswer: -880*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (-6)\/21*-20. Factor 0*f + 0 - 8\/7*f**2 + 20\/7*f**3 - l*f**4.\nAnswer: -4*f**2*(f - 1)*(3*f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (8 + -16)) + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.4 (b) 2\/15 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, -4, 15, 14387, 1 in decreasing order.\nAnswer: 14387, 110, 15, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, -4, 10, 3 in decreasing order.\nAnswer: 10, 3, -4, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - f + 77, 3*r - 2*f + 100 = -2*r. What is the tens digit of 6\/r - (-268)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 + -91 + 52 - -31.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3269 = -17*r + 1066. Calculate the remainder when r is divided by 54.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 10, r - 10 = -5*v - 0*v. Find the common denominator of 41\/8 and (r - 52\/(-18)) + 3.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2190, -4574, -6958?\n\"Answer: -2384*m + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5261*y**2 + 2726*y**2 + 2794*y**2 as x*y + k + p*y**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**9\/30240 - z**8\/13440 + z**4\/8 - 10*z**2. Let b(r) be the second derivative of t(r). Factor b(j).\nAnswer: -j**3*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -2)\/9*(0 - 21). Let p = -5 + v. Solve -2 = p*s + 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 11:22 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*m + 22383688, 0 = -3*z + z - 3*m - 8953460. Let c = z - -2826736. Round c to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1102529219*t**2*w - 559112412*w wrt t?\nAnswer: 2205058438*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(1573)*2 + 5*(1 + sqrt(1573)) - -5*(-1 + sqrt(1573) + 1))*3)**2.\nAnswer: 2376*sqrt(13) + 2038617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.1. Let l = 66 - 64. What is the smallest value in -1, l, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 3*o + 4*h, 11*o + 33 = 16*o + 2*h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -178*k**2. Let i(l) = -492*l. Determine i(m(g)).\nAnswer: 87576*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.194 take away 8271?\nAnswer: -8271.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12615 is divided by 4074?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.321 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 378.678 - 379.777945. Let i = y - -1.1. Round i to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 3487*u**2 + 3507*u**2 - 37 + 28.\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 3*z - 2*z)*(3*z**3 - 4*z**3 + 2*z**3) + 429*z**4 + 170*z**4 + z - 210*z**4 + 0*z**3 + z**4 + 0*z**3.\nAnswer: 391*z**4 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-40)*6*30\/12?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 + -5?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -724, -1640, -2922, -4570, -6584?\nAnswer: -8964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44826762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42.6068 + -0.6525.\nAnswer: -43.2593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/8*4 - 1)\/1. Let a = x - -4. Find the second derivative of -45*c**4 - 15*c + 82*c**4 - 46*c**a wrt c.\nAnswer: -108*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017552188 to 6 dps.\nAnswer: -0.001755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (9712\/1447088)\/(1\/(-2))\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2685 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 4*s**2 - 21 + 21.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - 204\/(1 - 4). Let s = -65 + x. Suppose s*t - 2*t = 22. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7420 + 645 - 14211 = 1499*b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1098152 and 368.\nAnswer: 50514992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4030272 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: Let t(v) = -22*v**2 - v - 1. Let c be t(-1). Let x(k) = 38*k + 28*k - 95*k + 30*k. Let o(d) = -3*d. Give c*x(z) - 6*o(z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*r**2*s**5 + 9*r**2*s**4 + 6*r**2*s + 7*r**2 + 2*r*s wrt s.\nAnswer: 300*r**2*s**3 + 108*r**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -98 - -100. Let u(b) be the first derivative of 0*b + 1\/8*b**a - 4 + 1\/16*b**4 - 1\/6*b**3. What is g in u(g) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y - 10505 = -57*y - 106*y - 1478 for y.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3375*d**5 - 1395*d**4 - 8898*d**3\/5 - 1134*d**2\/5 + 27*d - 3\/5 = 0?\nAnswer: -1\/3, 1\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-30)*-15*-4. What is the third smallest value in 4, z, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8355947291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8824 is divided by 114?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(7) + -1) + -2 + (sqrt(7)*-1*4 - -6*(sqrt(7) + 2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 18*r**2 - 24*r - 26. Let w be g(-17). Let m = 97 - w. Suppose -m*u + 624 = -8*u. What is u rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4727*a - 157*a**2 + 4730*a - 258*a**2 to y*a**2 + n*a + i and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + 3 + (-12 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -15*o**3 + 6*o**2 + 9*o - 11. Let c(q) = 3*q**3 - q**2 - 2*q + 2. Calculate -11*c(s) - 2*h(s).\nAnswer: -3*s**3 - s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*i + 1798, -777 = 4*i + 5*d - 3172. Suppose 2*w - 2*u - 136 = i, 4*w = 5*u + 1468. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (768\/68)\/((-1448)\/(-12308))\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j - 569247. Let t(z) = 4*z. Give k(t(s)).\nAnswer: -4*s - 569247","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25198 or -18181?\nAnswer: -18181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (6 - 3)) + (-133 - -129).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t + 8 - 46 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11472136 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 + 3*q. Let w be 4 + 0 - ((3 - -2) + -8). Let l(f) = f**2 + f. Determine w*l(u) - 2*t(u).\nAnswer: u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-22)\/44)\/((-2)\/(-4)). Let h be (-5)\/(-1) - (-2)\/x. Which is the third smallest value? (a) -0.2 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from ittitit.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 584 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 - b + 1. Let r be c(1). Let j(o) = -o**2 + o**2 + 2*o**r. Let t(i) = -17*i**2 + 34*i**2 - 20*i**2. What is t(j(u))?\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 17*w = k - 14*w, 3*k - 13*w + 35*w = 27*w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -16. Let g = -6 + 5.7. Let t = 7\/6 + -5\/12. Put g, t, p in increasing order.\nAnswer: p, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 457*u = 461*u + 32, -14 = -5*w - u. Suppose -3\/4*z + 15\/8*z**w + 0 - 3\/8*z**5 - 27\/8*z**3 + 21\/8*z**2 = 0. Calculate z.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = z - 9*z. What is the units digit of z + 1057\/14 + (-2)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 3*g - 537, 3*x = 2*g + 26 + 297. Calculate the highest common divisor of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 123. Let x(f) = -2*f**2. Determine x(g(d)).\nAnswer: -2*d**2 + 492*d - 30258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 357*h**2 + h + 764 wrt h.\nAnswer: 714*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19529963 is divided by 795?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4. Let s(r) = 5. Let d(y) = -6*l(y) - 5*s(y). Let c(z) = z + 1. Suppose 25*b = 28*b - 2*g - 30, -g = 8*b - 23. Calculate b*d(p) + 3*c(p).\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 24450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 838*v = 783*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y. Let t(n) = n**3 - 7*n**2 + 6*n + 11. Let x(b) = -q(b) - t(b). Let p be (-7)\/(-1) + (-1 - 1). What are the prime factors of x(p)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.2, 77, -4 in increasing order.\nAnswer: -4, -0.2, 3, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 2\/90915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(6\/13)*f)\/f**(-11))\/(f**(-10))**10 assuming f is positive.\nAnswer: f**(1475\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/100*(-16)\/6.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68178793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 223 = 10*p. What are the prime factors of p?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 327860 divided by -338\nAnswer: -970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 595 - 595 + 117374*r - 117365*r.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 212*f**4 + 2*f - 60 - 324 - 221*f**4 as t + j*f**2 + x*f**3 + g*f**4 + c*f and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 4:58 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28340 is divided by 1573.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1002*h**2. Let t(d) = -2*d - 9. Calculate t(r(b)).\nAnswer: -2004*b**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 15. Let z = 0.70027 + -0.80027. Which is the closest to v? (a) z (b) -4 (c) -1.2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 156634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + 17. What is the units digit of 486\/(-3)*(4 + y\/(-9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88168 and 307970?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(9\/7)\/d)**(-1\/34)*d\/d**(-3)*d\/(d\/d**0*d) assuming d is positive.\nAnswer: d**(356\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79185231, -79185224, -79185205, -79185168, -79185107, -79185016, -79184889?\nAnswer: -79184720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190484 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 114\/24 - (-3)\/(-4). Suppose -5*w - 3*h + 40 = 0, -8 = p*w - h - 23. Suppose w*r + 4*m = 228, 3*r + m - 126 = 8. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71454, -142460, -213466?\nAnswer: -284472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - s = -41 + 166, 3*s = 4*m - 165. Suppose -o + m = 2*o. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2. Suppose 5*i - 3*s + 4*s - 6 = 0, 3*s + 22 = 5*i. Let j(m) = -m**i - 106 + 49 + 57. What is n(j(f))?\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 125 + -125.083. Let w = d - 10.917. Sort 4, w, 0.5.\nAnswer: w, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1955 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -24*f**4 + 310468*f**3 - 1913856*f**2 + 2792912*f - 413760 = 0.\nAnswer: 1\/6, 2, 4, 12930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2*d = 5*n + 18, -3*n - 4*d = 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9715 = 364*z - 43*z + 14*z for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*c = -15, -6 = -2*c - 0. Let t = d + -3. Let s be (-28)\/6 + 2\/3. Sort 2, t, s.\nAnswer: s, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = 6*g. Let n(k) = -14*k**2 + 1. Give n(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or -0.721968?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 14. Calculate the lowest common multiple of 2 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 22048.08 nanoseconds?\nAnswer: 22.04808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -66? (a) 3\/5 (b) 4 (c) -2\/17 (d) 981 (e) -48\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 14*z**3\/5 - 3964*z**2 + 73408*z\/5 + 22592\/5 = 0?\nAnswer: -2\/7, 4, 1412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3\/60*4)\/(-1)*455\/273\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*(5*(sqrt(243) + 0)*5 - 1*sqrt(27)\/(sqrt(36)*2)))**2.\nAnswer: 13485*sqrt(3) + 21821527\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 102122100 (base 3) in base 7?\nAnswer: 33513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -945706 bigger than -945706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 + 123*h**2 + 12*h - 492.\nAnswer: -3*(h - 41)*(h - 2)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10.7 (b) -2\/5 (c) 2 (d) 3 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*2*(-8)\/(-26)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(-6)\/9 - 1. Let w = -271 - -183. Let y = w + 93. Sort -0.5, z, y, 2\/7.\nAnswer: -0.5, 2\/7, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/51 and 4\/121465.\nAnswer: 364395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11374.\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4.2, -2\/3, 0.4, 2877, 3\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5 = -1. Suppose 2*j - 2*m - 4 = -d*j, -j = -4*m + 13. Suppose -3*s = -j*n + 36, 0 = s - 0 + 4. Calculate the greatest common factor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 1, -11\/4, 2.2, 1\/10, 5.\nAnswer: -35, -11\/4, 1\/10, 1, 2.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, 3\/100 in decreasing order.\nAnswer: 2, 3\/100, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 17 = -12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19a - d2?\nAnswer: c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 183*h**2 - 30*h + 20. Is z(4) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1.970506 hours?\nAnswer: 7093821.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*d + 121 + 103 = 229*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-21) - 7\/(-49))\/2. Suppose q = r - 5*r + 12, 2*r + 1430 = 2*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257826903 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**5 + 6560*c**4 + 2676428*c**3 - 10817504*c**2 - 2676432*c + 10810944 = 0.\nAnswer: -822, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 8*h - 3. Let s be q(-12). Suppose -76 = -4*a - 4*m, a - 4*a + 3*m = -s. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -10. What is the third smallest value in 3\/2, p, -1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 158405 and 158405 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (1 - 1*5). Let d = 265\/187 + -21\/17. Sort 4\/7, k, d in decreasing order.\nAnswer: k, 4\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16512 + -69?\nAnswer: -16580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 89\/(-2)*2\/4. Let z = 297\/1000 - -245483\/11000. Let c = n + z. Calculate the common denominator of -29\/6 and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*z - 13 - 14 - 15 + 43 - 27*z.\nAnswer: 46*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/56)\/((2\/5)\/((-896)\/(-840))).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d + 76. Is 3 a factor of i(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = 5*k + 5*g, 3*g - 3 = 4*k. What is the third smallest value in k, -0.4, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6847*h - 1342017. Calculate l(-196).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2193? (a) -3.13 (b) -0.01 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(72)\/sqrt(4) + sqrt(882)*4 + sqrt(882) + sqrt(882))\/(-3*(sqrt(9)*-4 + sqrt(9)) - sqrt(54)\/(sqrt(54)\/sqrt(9))))**2.\nAnswer: 81\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 46*o - 37*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 2)\/(6\/16). Let t(w) = -3*w - 6. Is 18 a factor of t(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002773346183 rounded to five decimal places?\nAnswer: 0.00277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a minute in milliseconds?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3452 (b) -1 (c) -4\/65 (d) 9\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 23*h + 8. List the prime factors of i(-13).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8184\/297)\/62 - (52\/(-126))\/1\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -188, -730, -1794, -3554?\nAnswer: -6184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**5 + 860*k**4 + 1924*k**3 - 41324*k**2 + 115008*k - 93744 = 0?\nAnswer: -9, 2, 3, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.5, -3\/8, -2\/49, 0.4 in decreasing order.\nAnswer: 0.4, 0.3, -2\/49, -3\/8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 838589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 165899?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - l + 254 + 26 = 0, -l = -3*a + 272. Suppose q + 1 - 5 = 0, a = 4*g + 3*q. Solve -g = -p + 5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88008 * -18.9\nAnswer: -1663351.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0151 + -0.0011. Let d = h + 0.0162. What is the closest to 2\/3 in 1\/9, d, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 + -70. Put 18, 0, x, 5 in increasing order.\nAnswer: 0, x, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((u\/u**(1\/2))\/u)\/u)\/u)**(-32)*u**(-11)*u**1*u)**(-46))**(-2\/9) assuming u is positive.\nAnswer: u**(6532\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24269 is divided by 24203?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1396, 2796, 4196, 5596?\n\"Answer: 1400*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -27?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250478 = 182*q - 241196 for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 929 by -17743.\nAnswer: -929\/17743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1285550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1387*w - 8446. What is the hundreds digit of t(-36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -8*c + 9. Let y be u(11). Let s = -31 - y. Suppose -3*p = -h + 600 + s, 0 = -3*p + 3*h - 654. What is p rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*b + 248. Let w be b\/(0 - (-3)\/(-6)). Suppose 4*r = 3*z + 128, 6*r - z - w = r. Calculate the highest common factor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*c + 502 - 862 - 951 = 159 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 + -16 + -3)*30\/8.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**4\/12 + 8*u**3\/3 - 157*u**2\/2 + 71*u. Let o be f(7). Let s(h) = -1. Let l(t) = 3 + t - 2 - 2. Give o*s(n) + l(n).\nAnswer: n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3875 + 3875.2. What is the nearest to 2\/11 in h, 2.1, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -73 + 29 - (49 - 62)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-2)\/6*(-12)\/8. Let v(d) = 1129*d**2 + 1. What is the thousands digit of v(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.027 in -0.1, 52, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o - 13257 = -12953 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 30.2 and 0.004.\nAnswer: 30.204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 1:25 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-12))\/((-2)\/((-104)\/39))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5293*y - 164062. What is d(-31)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 178*g**2 + 3*g**3 + 7*g**4 - 45*g**2 - 41*g**2 + 25 - 44*g**2 - 47*g**2 to the form j*g + b*g**3 + n*g**2 + i + z*g**4 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 15 (b) 5 (c) 2\/11 (d) 4 (e) 1 (f) -1317 (g) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/4))**(-1\/3)*(h\/h**(-6))\/h**6)\/((h**(1\/2))**(-3\/5))**(6\/23) assuming h is positive.\nAnswer: h**(1603\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -121.861 rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30002201 - -2103131?\nAnswer: -21233010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -195?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 k when three letters picked without replacement from rrcparyrpcky.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 21*n**2 - 2*n - 27. What is the remainder when 57 is divided by y(-21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8253, -8249, -8245?\n\"Answer: 4*q - 8257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 12:19 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 + -43. Solve -4*n - 4*f = 16, -7*f = -3*f + m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 83464040 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -120*y**2 + 39*y**2 - 13 + 20*y**2 - 4*y + 33*y**2 + 40*y**2 in the form v + c*y**2 + d*y and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57731709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1174 is divided by 286?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - m**2. Suppose -55 + 53 = 2*o. What is y(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - -11. What is the greatest common divisor of a and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2\/12 - 348287*a\/2 + 363911503107\/4 = 0. What is a?\nAnswer: 1044861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + (sqrt(19) + 2)**2 - sqrt(19)).\nAnswer: -56 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 108975774*m. Let n(i) = -3*i. Determine h(n(a)).\nAnswer: -326927322*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a**3 + 47*a**2 + 13*a - 49. Give r(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -22. Let r be 16\/10 - (-2)\/5. Suppose -r*j + 4 = 3*b - y, -5*j = b - 54. Calculate the greatest common factor of 55 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/7))**45*((h\/h**(1\/3)*h)\/h)**(-24) assuming h is positive.\nAnswer: h**(113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34931 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 47*d**6\/270 + d**5\/90 - 34*d**2 + 12. Factor l(q).\nAnswer: 2*q**2*(94*q + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0223742 and -0.5.\nAnswer: -0.0111871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u**(-2)\/u)\/u*u)\/(u*u**5)*(u**0*u*u*u*u)**(-38))**33 assuming u is positive.\nAnswer: u**(-5280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from nncnccnncnnncccnnnn.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-6) - 5995\/(-330)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 17*d**6\/6 + 17*d**4\/6 + 5580*d**2 + 81*d - 53. What is the first derivative of v(s) wrt s?\nAnswer: 340*s**3 + 68*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -85 + 27 + 3*p**2 - 5 - 73 as a*p**2 + t + z*p and give t.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*m, 5*p = 3*p + m - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-2)*(4 - -2)*-1324.\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728)*2*-2)\/(-4*(5*sqrt(96) - sqrt(96))).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-4*(sqrt(110) + (sqrt(110) - 1*sqrt(110)) - sqrt(110)) + sqrt(110))\/(sqrt(10) + (sqrt(490) - (sqrt(490)*3 - sqrt(490)) - sqrt(490)))*2)*-2.\nAnswer: 4*sqrt(11)\/13 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*m, 4*w + 0*m - 2 = 2*m. Let d(j) = 12 - j - j**3 + j**2 - j**2. Is d(w) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -19*r**4\/3 - 74*r**3\/3 + 65*r**2\/3 + 112*r - 12 = 0.\nAnswer: -3, 2\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 13*f**2 - 13*f - 13. Let p be s(14). Suppose 45 = 2*c + p. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.486 + -0.366. Let s = 0.037 - -0.049. Let o = s + f. What is o rounded to 2 dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 - 1 - -5 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31.48 + 0.48. Let v = m + 31.1. Which is greater: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 11. Let f be 1\/q - 511\/(-21). Calculate the highest common factor of 36 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, v: 12, l: 5}. Give prob of picking 1 d and 3 l.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a*a*a\/(a*a**(-2)\/a)))\/a)**(2\/39)*(a**1)**1)**(1\/21) assuming a is positive.\nAnswer: a**(31\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000001011101110110 (base 2) in base 8?\nAnswer: -1013566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**2 - 5*w**2 + 13*w - 2*w**2 + 4 + 2*w**2 - 4 + (w**2 + 5*w**2 - 4*w**2)*(0 + 1 + 2).\nAnswer: 6*w**2 + 13*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4027*k + 10. Let b(u) = 2014*u + 6. Calculate -5*b(h) + 3*j(h).\nAnswer: 2011*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12186557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2)*5 + -5 - (sqrt(200)\/(sqrt(30)\/sqrt(3) + sqrt(10)))\/sqrt(10))*5)**2.\nAnswer: 2625*sqrt(2) + 12275\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/12)\/((-1)\/(-18)). Sort -1, -2, n in descending order.\nAnswer: n, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1339*q**5 - 516*q**2?\nAnswer: -80340*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/45*21618\/276230?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**3 - 61*h**2 + 59*h - 22. What is the hundreds digit of k(22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.4 - -4.4. Which is the third biggest value? (a) 2 (b) x (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017120248 to four dps.\nAnswer: 0.0171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75 - -75. Suppose 2*k + 3 - 13 = d, -4*i - 23 = -3*k. Does 9 divide i*1*(-49 - 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 751234.\nAnswer: 2, 11, 34147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.6 - -2.6. Is 0 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**4\/24 + v**3\/6 - v**2. Let f(r) be the third derivative of r**5\/60 - r**4\/24 - r**3\/6 - 4*r**2. Give a(t) + f(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -146874, -2 in descending order.\nAnswer: -1, -2, -146874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 5495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 17*b + 9. Give h(2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 + 431\/5. Let i be (-190)\/(-210) + (-6)\/(-14). Suppose 4 = 25*f - 46. Which is the fourth smallest value? (a) i (b) o (c) -0.1 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*d = 39*d + 45*d - 4030 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((960\/(-100))\/12*-5)\/(-21*(-4)\/(-2)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 7057486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -900, -904, -866, -768, -592, -320, 66, 584?\n\"Answer: 3*f**3 + 3*f**2 - 34*f - 872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 - 2*v + 8*v - 1 + v - 5*v. Let p be f(-3). Let n = 0 + p. What is the smallest common multiple of n and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/1262*9\/6. Let m = -30907\/2524 - c. Let o = 1\/782 + -16035\/3128. What is the common denominator of o and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8141 = 2568*m - 2561*m. What are the prime factors of m?\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*s - 285 = 107 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 585 + -584.93. Does v = -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972872307?\nAnswer: 3, 11, 893363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -118*a**2*b**3*l**2 + 10913*a**2*b**3*l - 14*a**2*b*l + a**2*l**2 - 2*a*b*l + 2*b**2*l**2 + 12*b**2*l wrt b.\nAnswer: -708*a**2*l**2 + 65478*a**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 17 - 339*m + 11.\nAnswer: -339*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 1.1 (c) 11 (d) -19.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1792 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*v**3 - 8 + 62*v**3 + 37*v**3 - 156*v**3 + 31*v**3.\nAnswer: 10*v**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 7*s**2 - 8*s - 8. Let r be j(-8). Let u be -8 - r - (1 - 4). Suppose 2*w = -d + 12, -17 - 10 = -2*d - u*w. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 2\/(-6)*-3. Suppose 4*u - 16 = 2*s, -7 - 13 = -d*u + 4*s. Let f = -0.14 + 0.04. Which is the nearest to f? (a) -2\/3 (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2972.037t in nanograms?\nAnswer: 2972037000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llluvllulllv. Give prob of picking 2 l.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.206 from 0.2215651539.\nAnswer: 2.4275651539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/35)\/(h\/(h**(2\/9)*h))*((h\/(h\/(h\/(h*h**(-12\/7)))))\/h*h)\/h*h\/(((h*h**(2\/51))\/h*h)\/h) assuming h is positive.\nAnswer: h**(10466\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18\/11 + 184\/99. Let z be 12\/(-4) + 8706\/(-84)*2. Let f = z + 210. Which is the nearest to f? (a) 3 (b) l (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 + 452?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*y = -7, -2*z + 2*y = z - 1. Let q = z - -19. Let w(s) = -s**2 + 22*s - 6. What is the units digit of w(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 6:31 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 2*a**3\/3 - a**2\/2 + 2*a - 2. Let c be f(2). Let n = 16 - c. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*9\/(-12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1ab5b + -27bc?\nAnswer: -2064a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 - 52*q**3 + 24*q**2 + 1408*q - 2560.\nAnswer: 4*(q - 8)**2*(q - 2)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/8 (b) -0.5 (c) 2 (d) -2 (e) 12741 (f) -9 (g) -7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132776 (base 15) to base 16.\nAnswer: e0886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from {f: 8, q: 1, z: 4, g: 4, a: 2}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -21*b**2 - 319*b - 729. Calculate q(-21).\nAnswer: -3291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**3 - 26*g**2 + 795*g - 4731. Calculate q(7).\nAnswer: 932","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3276 is divided by 132.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 11 - 1)*(-6*q + 4*q - q - 3*q + 5*q - 3*q + (4*q - 4*q - 2*q)*(0 + 2 + 0)) to n + j*q and give j.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j. Let u(t) = 25*t - 2. Determine n(u(r)).\nAnswer: 150*r - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 11567910.\nAnswer: 23135820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -4 - (-10 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -64*-0.0009\nAnswer: 0.0576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2168? (a) 1\/4 (b) -5 (c) -1\/8 (d) -6 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 10*h = -60. Let y be 90\/(-36)*4\/h - 0. Which is the third biggest value? (a) 2\/7 (b) -0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -84*f + 87. Let p be d(1). Calculate the greatest common factor of 8 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -224, 1088, 5458, 14410, 29468, 52156, 83998, 126518?\n\"Answer: 254*k**3 + 5*k**2 - 481*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, k: 13}. What is prob of picking 3 k?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**2 + 7*s + 3. What are the prime factors of i(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*-3*31\/(-12). Suppose 3*h + 6 - 21 = 0, c = -5*h + n. Suppose -c*p = -3*p + 2340. Round p to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(-85)*(-2)\/(-49)*165\/66?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1723\/25 - -69. What is the biggest value in s, 0, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 289\/82 or 530?\nAnswer: 530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**3 - 36*u**2 - 3*u + 19. Let x be t(-18). What is the lowest common multiple of (x - 5)*3\/4 and 9?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**2 - 5*b**2 - 9*b**2 - 4*b**3 - 12*b - 4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaww when four letters picked without replacement from awobqbabwwqwbhhbbbb?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m**3*p - 6*m**3 - 2*m**2 - 6*p wrt m?\nAnswer: -3*m**2*p - 18*m**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by (-7)\/(140\/(-145)) + 2\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 16*h + 27. Let o be a(19). Suppose 3*q + o = -q. Let g(k) = -k**2 - 20*k + 20. Let c be g(q). Is c > -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 94817, 94702, 94587, 94472?\n\"Answer: -115*l + 94932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5343233 + 4?\nAnswer: -5343228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 791 and -759.527744?\nAnswer: 1550.527744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -17, 0, 5, 447 in descending order.\nAnswer: 447, 5, 0, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1200)\/110*(-2)\/5 and 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**4\/2 - 2938*r**3 - 117943*r**2\/2 + 67783*r + 123816 = 0?\nAnswer: -21, -1, 2, 5896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/240952 and 2\/150595.\nAnswer: 1204760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22450 + -21602. Let g(p) = 3*p - 4. Calculate the remainder when s is divided by g(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15022445 - -102?\nAnswer: -15022343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 105.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -2801 in decreasing order.\nAnswer: 4, 1, -2801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*w = -10*w + 60, 5*u = 2*w - 58. Let m = u - -16. Let c(x) = 11*x + 1. What is the lowest common multiple of m and c(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -242036.0753 to the nearest 1000.\nAnswer: -242000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) 4\/7 (c) -0.5 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 4) to base 10.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-135))\/((-8)\/3 + 2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/(-10))\/((-2)\/4)*-3. Let x = p - -27. Let q(l) = 7*l**2 - x*l**2 + 8*l**2. Let v(j) = 2*j**2. Give v(q(u)).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*m + 2*m**2 - 26*m - 2*m**4 - 44*m + 8*m**3 - 10*m**3 + 2 in the form b*m**3 + h*m**4 + k*m + d + l*m**2 and give k.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19\/4*(2 + -6 + 0). Let a = 25 + k. Suppose o + 4*r = 639, -o + a*r = 2*r - 607. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11212111020 (base 3) to base 15\nAnswer: -1d606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -130?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izizzzzzzzizzzzz. What is prob of sequence zii?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.438 - 0.338. What is the second smallest value in 29, 0, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-2)\/26 + (-10296)\/(-2028).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4117 = 3*p + 4009. Suppose -p*b + 41 = 5. Let 3*h + b + 5\/4*h**2 = 0. Calculate h.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 10*m**2 - 9*m - 7. Let u(n) = -n**3 - 47*n**2 - 89*n + 36. Let r be u(-45). Determine o(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-87\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 24 = 125*t - 128*t, -3*t - 10 - 14 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 3*x - 1. Let g(b) = -5*b**2 - 31*b - 23. Let o(h) = -a(h) - g(h). What is d in o(d) = 0?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a microgram in nanograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, 4\/3, 2\/99, -0.1, 0.4?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)\/a**(1\/3))\/(a**(-1\/4)\/a*a**(1\/8)) assuming a is positive.\nAnswer: a**(-101\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3014 is divided by 116?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7748 + -23246\/3. Let l = 5.03 - 0.03. Sort l, -0.3, w, -1\/12 in decreasing order.\nAnswer: l, -1\/12, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49075 divided by -687\nAnswer: -49075\/687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 - 6*v**3 + 2*v**3 + 9*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of -6 - 2 - -13 - -374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (3 + 0 + -3 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*h + 70900 = 78*h. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6 + -1 + 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = r + 2*r. Suppose -4*a - 12 = -4, -3*a = l + r. Which is smaller: l or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008852 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.338739 millilitres?\nAnswer: 0.008338739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 0*g - 5\/6*g**3 + 0*g**4 + 1\/12*g**5 - 15*g**2 + 1\/120*g**6 + 0. Calculate u(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1302 and 975?\nAnswer: 423150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 10, m: 2, c: 1, q: 1, e: 3, o: 1}. What is prob of picking 1 q and 1 d?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 137700 and 3145068.\nAnswer: 5508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -10*u - 11. Let o be q(-2). Suppose o*m + 10544 = 3*z + 4*m, 0 = -2*z - 2*m + 7024. Let i = 5462 - z. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*r - 116, r - 4*r = 3*n - 111. What is the greatest common divisor of 21 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -1890*y**3 + 11*y**2 - 55*y. Let d(a) = 378*a**3 - 2*a**2 + 10*a. Determine -33*d(u) - 6*x(u).\nAnswer: -1134*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - -3 - 0\/(-13 - -6). Solve 0*h = 2*j - h + 1, -h = 4*j - t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -52.\nAnswer: -15\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 690 = -2*l - 134. Let n = -2051\/5 - l. Let y = 67\/7 + -113\/7. What is the common denominator of n and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 825 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 6. Suppose b = 4*s - 5*c + 9, -2*c = 4*s + 3*c - 1. Sort -4, s, -2 in decreasing order.\nAnswer: s, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 8*h**2 - 9*h + 3. Let a be p(-5). Let k = a + 33. What is the least common multiple of k and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61*n**3*o**3 - 3*n**3*o**2 - 67*n**3 + 6*n**2*o**3 + 2*n*o**3 + 857 wrt n?\nAnswer: 366*o**3 - 18*o**2 - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -1 - (-3 + 8 + 0 + -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.5 + -36. Which is the fourth biggest value? (a) r (b) 0.03 (c) -5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*r + 12674, 5*k - 65*r + 60*r = 31645. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/v**(1\/6))\/v*v)*v)**(-26))**(-45) assuming v is positive.\nAnswer: v**1365","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10945.004 times 0.61?\nAnswer: -6676.45244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 88 - 88.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 2*l**2 + 20*l - 30. Let h be c(5). Put -1, -2, h, -3 in increasing order.\nAnswer: h, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 7*w + 313, -55*f + 57*f - 2*w + 49 = -45 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/49, -3, -296, -6, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -39 = -192\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 402 + 5*l**2 - 402 + l to the form r*l + q*l**2 + y and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 + 2*n**2 + n + 1. Let l be m(3). Let j = -21 - l. Let r(x) = -x**2 + 13*x - 12. Is r(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1445643.02 to the nearest 10000.\nAnswer: -1450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 17, 89, 233, 473, 833, 1337, 2009?\nAnswer: 2873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 54804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-1*(-1*sqrt(2816) - sqrt(2816)) + 5)*1)**2.\nAnswer: 1600*sqrt(11) + 281625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*(t\/t**(-1\/3))\/t))**(-32\/5))**33*((t\/(t\/((t\/(t*t*t\/(t\/t**0*t)*t))\/t)))\/t)**(-18)\/(((t**4*t)\/t)\/t*((t**(-2\/5)*t)\/t)\/t*t) assuming t is positive.\nAnswer: t**(609\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = -2. Suppose y + 18 = 45. Suppose y = l*q + 7. What is the second smallest value in q, -1\/11, 6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 1755?\nAnswer: 17550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/110820 and 18\/9235.\nAnswer: 110820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -3*f**2\/2 - f + 44. Give a(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124903?\nAnswer: 29, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27691?\nAnswer: 27691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -120304.\nAnswer: -5\/120304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2250 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 483364 by -483364.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11\/22)\/((-1)\/88). Let v = c + 84. Suppose 5*z - 3*x - v = -4*x, 3*z - 3*x = 42. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + p - 1. Let r(x) = -15*x**2 + 4*x - 4. Let l(t) = 4*h(t) - r(t). Let o(f) be the third derivative of f**4\/24 + 35*f**2. Calculate o(l(q)).\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.095 and -802550836.\nAnswer: -802550837.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1858005898.285.\nAnswer: 1858005898.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*s - 1038306 - 3587238 = 0. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + (0 - (3 + -3)) + (-1696)\/(-371). Let w = -16 + 37. Let l = w + -19.2. Which is the biggest value? (a) -0.3 (b) g (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 10*l**2 + 11*l + 14. Give h(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002337382696 to six decimal places.\nAnswer: 0.002337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80582245.\nAnswer: 5, 16116449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 78075486 a multiple of 422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -21, 0 in descending order.\nAnswer: 2, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*w - 14*w + 0*w)*(-4 - 6 + 3)*(3 - 2 - 2).\nAnswer: -287*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + d + 3. Let u be c(0). Let j = 9 - u. Suppose -3*a + 0 = -j. Is 2 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 2*g + 10 = 0, 3558*g - 3553*g = -s + 11 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -2\/9, 2\/13, 10.\nAnswer: -3\/5, -2\/9, 2\/13, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 6*x**2 - 19*x + 6. Let d be f(-6). Which is greater: 1544\/13 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 2*k + 32. Determine h(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 11) in base 7?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.1 (b) -2 (c) 2 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 1\/40*m**4 + 0*m + 2*m**2 + 0 - 1\/75*m**5 + 1\/30*m**3. Determine y so that r(y) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12*((4 - 5) + 7) is divided by (-1)\/(-5) - 74\/(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -104*u**3 - 2*u**2 + 102*u**3 + 5 + 4 + u**2 - u**2 as n*u + d + w*u**3 + a*u**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7145 is divided by 3460?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*sqrt(1575) + -6*(sqrt(63) + -1*sqrt(63))))\/((sqrt(18) - -5*(sqrt(36)\/sqrt(2) + sqrt(18) - sqrt(18)))\/(sqrt(2) - 4*sqrt(2)*1)).\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 10) to base 7\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express a - 2*a - a + a + 0*a - 2*a + (-a - 2*a + a)*(-1 - 1 + 3) + 2*a - a - 107399 + 107407 in the form p + k*a and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6663 and -57.\nAnswer: 6606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 103*q - 1318. Give o(-98).\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*l - 134*l - 392*l = -10542 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4 + 244*z**3 + 696*z**2 - 2132*z + 1190.\nAnswer: 2*(z - 1)**2*(z + 5)*(z + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3265 - 975. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m + 1. Suppose -l = -4*r - 0*r - 21, 0 = -l + 5*r + 25. Suppose h = -4*h - l. Calculate w(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*v + 434 + 690 = 293 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/36*3\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 12 = 0, -3*x - 3 + 4 = 2*m. Suppose -449 = 2*z - d, 446 = -x*z + z + 2*d. Let g = -114 - z. Calculate the remainder when g is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 15 = 3*y. Suppose i = 4*i + y*r - 72, -i = 3*r - 24. Calculate the remainder when i is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-255)\/(-20) + (-15)\/20. Let m be (40\/f)\/(4\/12*2). Solve 0 = 4*q + 3*v + 23, 5*q = -2*v + 3*v - m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36388*q + 5784 = 35906*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729557 less than 1729556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3*sqrt(240)*-5)\/sqrt(12))\/((sqrt(4) - 1*sqrt(4))*4 + sqrt(256) + -3*sqrt(256)).\nAnswer: 75*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 14423*t - 28832. Calculate u(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 47\/4 of a kilogram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**9\/7560 + c**8\/4200 + c**7\/2100 - c**6\/900 + 4*c**3\/3 - 7*c. Let l(p) be the second derivative of z(p). Factor l(x).\nAnswer: -2*x**2*(x - 1)**2*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003998 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnhuhujjnn. What is prob of sequence jun?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*r + 61, -m + 5 = -0*m. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647397199 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -644 (c) -27 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -0.4 (b) -7 (c) 0 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -397\/4, 1312?\nAnswer: 1312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(99) + sqrt(220)\/sqrt(5))**2.\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*j = -14, 0 = t + 4*j - 0*j - 12. Let i = 1.6 - 1.8. Let r = -0.1 - -0.2. Which is the third smallest value? (a) r (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1373 + 1392. Solve -r*y = -21*y + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -11, 0.1, -5\/2, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u - 924 = 185 + 331 for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -139, 5, -4, 261, 7 in descending order.\nAnswer: 261, 7, 5, 4, -4, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -19. Let s be (-174)\/(-15) + n + (-16)\/10. Calculate the highest common factor of 300 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8273932 = 175*o - 26873593. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - (2*sqrt(170) - sqrt(170)))*3 + sqrt(170) - (5*(sqrt(170) + -1*sqrt(170)) - sqrt(170)))\/((5*sqrt(640) - sqrt(640))*-6).\nAnswer: -sqrt(17)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**2\/s)*s)\/s)**6)**(-20) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/10 - (-18990)\/25. Suppose -2*g - 3*g + m = 0. Let p be (5 - 7) + 25 + -4. What is the highest common factor of g and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*s + 3*p - 4*p, p = 4*s - 23. Suppose h = s*h - 128. Let m = -27 + h. Solve -4*g + m*n + 36 = 0, -8 = -g - 2*g - n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/9))**24 assuming k is positive.\nAnswer: k**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 3 = -3*g - 2*i - 1 - 0, 0 = g + 128*i + 1145 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 5*t**2 - 5*t - 1. Let f be g(5). Suppose -5*u - 13 = 22. Let y = u - f. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8758\/10 + 164\/(-205). Calculate the greatest common divisor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146047745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 436589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12697 + 12697. What is the nearest to 2\/367 in r, -2\/3, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*a + a + 9*a**3 - 32*a + 6*a - 2*a**3 in the form m*a**2 + v*a + z + f*a**3 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 44*a**2 - 83*a + 54. Let k be d(42). Let u be k - -4*(-6)\/12. Are 96 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -898750*h + 898804 wrt h?\nAnswer: -898750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 30*v**2 - 25*v**2)*(2*v**2 + 5 - 5).\nAnswer: 10*v**4 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqcqqqcqcqccccqc. Give prob of picking 2 q.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -176, -132, 39\/14 in increasing order.\nAnswer: -176, -132, -0.4, 39\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 6:47 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 1. Let c(z) = z - 2 + 26*z**2 + z - 2*z + z - 19*z**2. Give c(t) - s(t).\nAnswer: 6*t**2 + t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 8:53 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 0 - y**2 - 1\/6*y**4 + 1\/20*y**5 + 0*y + 5\/6*y**3. Is u(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13\/18 + -5\/9. Let t = -0.009 - -0.109. Sort -5, t, k in descending order.\nAnswer: k, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9007393 to the power of 1\/2, to the nearest integer?\nAnswer: 3001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8\/7 - -31\/21. Which is bigger: -10 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 81*r - 32. Let a(k) = -243*k + 95. Give -4*a(n) - 11*g(n).\nAnswer: 81*n - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + -5)*-3 - -2. What is the second derivative of 3 - 7 - t + 4 - h*t**3 wrt t?\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 84 = 4*b, -3 = -b + 3*o + 3. Suppose 5*a = -j - j + 380, 4*a + 884 = 5*j. Suppose -j = g - 3*g. Calculate the highest common factor of b and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -19*v + 6. Let w be c(-9). Let p(z) = 2*z - 2*z**2 + 176*z**3 - 2 - 1 - w*z**3. What is the tens digit of p(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20340 and 12?\nAnswer: 20340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Suppose 2*z - 6*z + 8 = u. Find the first derivative of 4*d - z*d + 3 + d wrt d.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 12588048.\nAnswer: 12588048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12 - (0 - 0\/(-1)). Let l = s + -8. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32000001 = 5*b + n, -b - 5*n + 25600005 = 3*b. Round b to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 138 - 15. Let s = -109 + h. What is the remainder when 53 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 10*w - 6. Let g be a(1). Solve -4*p - g*s = -0*p, 5*s = -p + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffmk when four letters picked without replacement from kkfkkyfkmkykyykkk.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = a - 10338, -6*q + 7*q = 5*a - 51723. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 720 = 4*o, 2*o + 11 = -5*z + 363. Calculate the remainder when o is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42399 divided by -2264?\nAnswer: -42399\/2264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 258 - 260. Let n = 0.67 + -0.7. Let g = n + 0.33. What is the closest to x in -2\/5, g, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**5\/30 + q**4\/2 + 5*q**3\/3 - 44*q**2. Solve m(n) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = p + 3*q + 5, p + 2*q = 34. What is the second derivative of 10 + 14*w**2 + 27*w**2 + 135*w**2 + p*w**2 + w wrt w?\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 1872?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4296 take away 3.27?\nAnswer: -4299.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -6*d**3\/5 + 13008*d**2 - 519882*d\/5 - 584928\/5 = 0.\nAnswer: -1, 9, 10832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) + -5 + sqrt(320) + (sqrt(320) - (sqrt(320)*1)**2 - sqrt(320)).\nAnswer: -325 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.75 - 18.3. Sort -0.5, u, 0, -4 in ascending order.\nAnswer: -4, u, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-748)\/(-28) + (-2)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 839261766 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 250*w + 990. What is j(-5)?\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-9 - -19) - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3107 + -143?\nAnswer: -3252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 7*c**2 - 8*c + 2. Let k(n) = n + 2. Let q be k(6). Let j be r(q). Solve 4 = -j*t - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320 (base 5) to base 9.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 3. Suppose h = -n*h + 21. Calculate the highest common divisor of 14 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2854\/975 - -4\/975. Do v and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(252) + 4 - sqrt(252)))**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*z + 61*z**4 - 7 - 2*z**2 - 3*z**2 - 63*z**4 + 3*z**2 as v*z**3 + g*z**2 + m + d*z**4 + w*z and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -527, -1169, -1813, -2459, -3107, -3757, -4409?\n\"Answer: -v**2 - 639*v + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2564674, -5129344, -7694014, -10258684, -12823354?\n\"Answer: -2564670*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 154*f. Let q(l) = l**2 - l. Let n(m) = 20*m**2 - 15*m. Let g(x) = -n(x) + 15*q(x). Give w(g(c)).\nAnswer: -770*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 12*v**2 - 5. Let q(l) = -13*l**2 + l + 5. Let t(c) = 4*i(c) + 3*q(c). Let r(o) = o - 1. Let y be r(-3). Is t(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2958)\/609 + 12\/14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84361.8 millimeters in centimeters?\nAnswer: 8436.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38088 divided by -1?\nAnswer: -38088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -51, -106, -161?\n\"Answer: -55*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 3*w - 55, -3*w - 1 = -2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3930625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + -6*(-5 + sqrt(539) + 1 + sqrt(539)) + -5)**2.\nAnswer: -3360*sqrt(11) + 78016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.3866197 weeks?\nAnswer: 233827594560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35494?\nAnswer: 2, 17747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -119610550 divided by -119610550?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1 take away -2?\nAnswer: 6.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4, -22, -68, -154, -292, -494, -772, -1138?\n\"Answer: -2*u**3 - 2*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*q, 4*q + 35 = m - 0*m. Find the common denominator of -107\/30 and (-174)\/8*q\/(-20).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**5\/210 + m**4\/42 - m**2 - 3*m. Let l(s) be the first derivative of i(s). Factor l(o).\nAnswer: 2*o*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1102111 (base 3) to base 11\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33631719?\nAnswer: 3, 11, 43, 137, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -24 + 0 + -1 + -2. Does 16 divide 6\/r - (-688)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from jgrhrrghhrrjrnhng.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 195492, -4, 53 in increasing order.\nAnswer: -4, 53, 195492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -306 by 153.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.97 - -1.1. Let n = t + 0.07. Let m be (-1)\/2*(-4)\/6. Which is greater: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3594 + 2081*g**2 + 5268 + 5267 + 5239 - 15128 wrt g.\nAnswer: 4162*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 134*m**2*p**3 + 5398*m**2*p**2 - 33218*m*p**3 + 7*m wrt m?\nAnswer: 268*p**3 + 10796*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 363\/(-3) - 44944\/(-848)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42258.3 rounded to the nearest one hundred?\nAnswer: 42300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - -1. Let d = f - 25. Which is the third biggest value? (a) d (b) -3 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1206 - 724. Suppose -w + 7 = -2*t, -5*t - 22 = 5115*w - 5116*w. Sort o, 2, w in descending order.\nAnswer: o, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - (-9 + 3 - 1)) + -10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7535476 a multiple of 2204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 718 = -2*x, 9*x - 1428 = 5*x + 2*i. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54380 and 306.\nAnswer: 8320140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6746 - -12632. Does 35 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - c**2 + 69*c + 25. Give q(-10).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*x - 81*x - 69*x)*(3*x**4 - 5*x**4 - 4*x + 3*x).\nAnswer: 192*x**5 + 96*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -280 - -638. Suppose 5*k = 187 + r. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 + -139 + (0 - -24) - -10?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -22*g + 10. Is 40 a factor of j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165570 is divided by 33066.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39734027.\nAnswer: 39734027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11166159293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**3 - 5*j**2 + 3*j**3 - 10*j + 9*j - j**3. Give q(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -24969 and 0.1931 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - m = -2*m + 13, 0 = 2*k + 2*m - 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1563 - 591 = -3*y. Let f = -119676 + y. What is f rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 8:54 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47583?\nAnswer: 3, 17, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4 = -144. Let b = -7 - x. Suppose -5*r - 5*y + b = 0, -2*r - 3*y = 3*r - 38. Calculate the highest common factor of 20 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 14*o + 26. Let h be b(16). Let r be (-3)\/((h\/5)\/6). Let x = 68 - r. Calculate the remainder when x is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -0.0149?\nAnswer: -8.0149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 14. Let y be w(6). Let u(m) = -m**2 + 9*m - 4. Let l be u(y). Let k be ((-3)\/(-6)*l)\/8. What is the closest to k in -0.4, 1\/5, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3327\/6119?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-299 - -245) + -4 + -21 + (9 - 2)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (496\/(-2))\/(20*2\/(-320)*-16).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-10)\/4)\/((-7)\/5740)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2. Let v(b) = 108979*b - 7. Calculate v(j(d)).\nAnswer: 217958*d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 - 10 + 7)*(3*o**4 - o**4 + 0*o**4) as f*o**4 + l*o**2 + x*o**3 + y*o + c and give f.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2666 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**5\/20 + 5*n**2 + 71*n + 2. What is u(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (21\/32502*-2)\/(-1). Let t = r + -590607\/119174. What is the common denominator of t and -33\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54a25e (base 15) to base 5\nAnswer: 2013034124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sii when three letters picked without replacement from siiisssisi.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*j + 2*f + 22, 0 = -4*j + 5*f + 40. Find the third derivative of -j*g**5 - 16*g**5 + 5*g**2 + 28*g**5 wrt g.\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87442.18053 rounded to the nearest one thousand?\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 15 - 0. Let n(v) = -2*v + 5. What is n(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 5*c - 64, -1759*c - 3*a - 18 = -1758*c. Suppose 0*m - m + 187 = 0. Calculate the remainder when m is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1012 and 34661.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 greater than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(720))**2 - (sqrt(405) + 2).\nAnswer: -81*sqrt(5) + 727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/35)\/((-51)\/(-714))*-1*40?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**3 - 9*b**2 + 4*b - b + 7*b**2 - 2 - 2*b**3 + 13*b**4 as v*b + g*b**3 + a + x*b**2 + k*b**4 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3693439652 and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -168414*i - 2863058. Calculate g(-17).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 71*b - 570. Give m(13).\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*l**2 - 69*l**3 - 105*l**2 + 246*l**3 - 88*l**3 - 92*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppkk when four letters picked without replacement from pkpkpppkkpkpp?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 98493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -23756?\nAnswer: -23753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -1) + -6 - -6 - -4 - 27\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35851.5kg to nanograms.\nAnswer: 35851500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**5 + 2*v**4 - 53759*v**3 - 35*v**2 + 2*v + 1?\nAnswer: -120*v**2 + 48*v - 322554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 52*p**2 + 4*p. Let h be u(8). Find the third derivative of -12*d**6 + 2*d**2 - 3360*d**3 + h*d**3 wrt d.\nAnswer: -1440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10400000 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -20716*k**2. Let m(y) = 1874*y**2. Calculate m(v(o)).\nAnswer: 804232077344*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/35 and 31\/14224.\nAnswer: 71120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 249 = 253 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -111303220 (base 4) in base 2?\nAnswer: -10101110011101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/3 + 3551*o**2 + 10654*o\/3.\nAnswer: -o*(o - 10654)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q - 20 = 2*g, -q = 4*q - 5*g - 70 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h**2. Let y(m) = -m**2 - 179. Determine y(z(d)).\nAnswer: -49*d**4 - 179","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*h**4 + 46*h**4 + h - 2*h**2 + h to k*h**4 + l*h + r*h**2 + q + y*h**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 1:52 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*i**2 - 41*i**2 + 80*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 28 = a. Suppose 0 = 2*n - 8, -5*h + 15 = -n - 1. Put a, h, 1 in decreasing order.\nAnswer: h, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s**3 + 34*s**2 + 810*s - 11962. Determine q(15).\nAnswer: -5662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 1536?\nAnswer: 4608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 258783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqby when four letters picked without replacement from bcaypabq?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**(-11\/8) assuming w is positive.\nAnswer: w**(11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*-2*(-1)\/(-4). Let l(a) = -8*a + 2. Let c(w) = -7*w + 2. Let i(p) = 3*c(p) - 2*l(p). Is 6 a factor of i(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 3*u**2 - 7*u - 5. Let v = -14 - -19. Let t(n) = n**2 + 4. What is the remainder when t(5) is divided by h(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60 - (-11 - -2)) + -37?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.1 times 482913?\nAnswer: -3911595.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -13114?\nAnswer: -13112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 152224 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: Solve 513684*i = 514064*i + 11020 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 8390342\nAnswer: 2517102.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4733 is divided by 1573.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-203)\/(-28) + 0\/2 and -12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 0*q + 3*q + (1 - 3 + 1)*(-3*q - 3*q + 7*q))*(13*q - 52*q - 11*q) in the form t*q**2 + y + f*q and give t.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/9, -533986434 in decreasing order.\nAnswer: -2\/9, -5, -533986434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-78)\/182)\/(24\/(-14)). Sort a, 0, 95.\nAnswer: 0, a, 95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (2391\/(-108) + 405\/(-540)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 806 and 1163812.\nAnswer: 36078172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (13 - 6) - 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000013848 rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 3. Let z be c(-5). Suppose -4*r = -z*r. Suppose m - 3 - 10 = -5*n, r = m + 2*n - 7. Solve -k - 3*i + 0 = -13, 3*i - 9 = m*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2085664 times 0.08\nAnswer: 166853.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 12:05 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2553.981 - 2554. Put -1, z, 2 in ascending order.\nAnswer: -1, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 911*s - 145724. Give u(160).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v + 1 - 1)*((-2 + 0 + 3)*(-1 + 0 + 2) + 4 - 5 - 1)*(5*v - 38*v + 73*v) to k*v**2 + z*v + p and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = -33 + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -970949, -1941903, -2912859, -3883817?\nAnswer: -4854777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 3. Let q be j(-6). Let z(s) = -s**2 + 10*s - 9. Let t be z(9). Put -5, t, q in increasing order.\nAnswer: -5, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 5*p**2 - 5*p + 2. Let k be t(6). Let n = k - 6. Suppose n + 72 = w - 4*g, 344 = 4*w - 4*g. What is the greatest common divisor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzwwuepwgpzugeu. Give prob of picking 2 u and 1 p.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.22 - -0.07. What is the smallest value in 4, z, 1, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.22 - -0.32. Sort 5, 3, k.\nAnswer: k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138315 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2484937, -4969825, -7454713, -9939601, -12424489, -14909377?\n\"Answer: -2484888*f - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -266 - 269 - 262 - 2*q + 757*q**2 + 797 as d + v*q**2 + j*q and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 8 = -2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 403 - 409. Suppose -8 = 2*d - 3*u, -4*d - 5 = -4*u + 3. Let t be d\/(-8) - 10\/(-8). What is the second biggest value in t, 3\/7, j?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -213*r**2 + 355*r**2 + 383*r**2 + 264*r**2 + 530*r**2 as k + z*r**2 + x*r and give z.\nAnswer: 1319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012854 to 4 dps.\nAnswer: 0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55049 or -58913?\nAnswer: -58913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*h + 38 = -64*h - 5*s, 5*h = -3*s - 38 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (7 + (6 - -10) - 47)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.20173 smaller than 0.286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 57*x - 343 + 98 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 3. Let n = 6 - 8. Which is the second smallest value? (a) 2\/7 (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = -8 + 8. Let b(y) be the third derivative of 3*y**2 + 0 + 0*y**3 + r*y**4 + 0*y + 1\/60*y**5. Let o(c) = -4*c. What is b(o(t))?\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-21625)\/(-195) + -1)*3\/(-2). Let t = s - -165. Let v = 42 - 42. Which is the nearest to v? (a) -1 (b) t (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 532592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30 and -14.161.\nAnswer: -424.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/70*5*(-4)\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1326, 1972, 2932, 4206?\n\"Answer: 157*r**2 + 175*r + 994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 - 3)*(10 - 10 - 10*f) + (3 - 2 + 1)*(-f - f + 5*f) + (3*f - 3*f - 2*f)*(-4 + 4 + 2) - 2 - 2*f + 2 + 6 + 2*f - 6 + 3 + 3*f - 3)*(-f + 6 - 6).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (187 - 273)*(-813)\/2?\nAnswer: 3, 43, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 30.53463km?\nAnswer: 3053463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -657 plus -243?\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 43 = 6*h - 15, h + 0*s - 43 = s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (-170)\/(-1) + (-1)\/((-10)\/40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*u - 3*u = -42, 0 = -5*g - 4*u + 294. Let o be 2*g\/(-8)*14. Let c = o - -413. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2\/5 (b) -0.6 (c) 1\/5 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*w + 29. What is the greatest common factor of 36 and w?\nAnswer: 9","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: What is the lowest common multiple of 4550 and 77?\nAnswer: 50050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t**5\/11 + 84*t**4\/11 + 354*t**3\/11 + 564*t**2\/11 + 288*t\/11 = 0. What is t?\nAnswer: -8, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 806 = 5*g - 3*u, u - 501 = -3*g - 3*u. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c - 1. Let u(f) = -4*f**3 - 6*f**2 - f + 2. Calculate the smallest common multiple of o(3) and u(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*h + 66*h - 24*h - 19*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -414 (b) -1\/4 (c) 1 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**2\/2 + 18*d + 8284. Let v(h) = 46*h. Give v(l(j)).\nAnswer: -46*j + 828","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 12:11 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (7 - 1) - 9\/12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 = 6*p - 76. Suppose -4*j - 1 = -u + 6*u, 5*j - 3*u - p = 0. What is the highest common factor of j and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*j - 32*j + 8*j.\nAnswer: -39*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 34. Calculate the greatest common factor of 36 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70042\/2968528251 + -5\/91743. Let a = 305417713\/323570 - r. Let z = -945 + a. What is the common denominator of 51\/8 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p. Let t(b) = -783*b**2 + 14*b. Give t(i(u)).\nAnswer: -783*u**2 - 14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2719969?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (4 - 1) + (2 - (8 + 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 911112588086 and 4.\nAnswer: 911112588090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2444\/11 - -222. Let m = -1703\/9 - -189. Which is the closest to m? (a) -5 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-1)\/(-2)*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.1 - -0.1. Let w be 4\/((4 + 1)\/1). Let v = -124.1 - -124. Which is the second smallest value? (a) w (b) v (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27314 - 13759. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10511, -7969, -5427?\n\"Answer: 2542*o - 13053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 34 = -2*w, -w - 4*h + 3 = 6. Suppose 0*j = j - i - w, -28 = -4*j - 2*i. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.2 - -34.2. Let s = 31 - i. Let t = 652\/5 + -131. Which is the closest to s? (a) t (b) 0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.46599 meters in micrometers?\nAnswer: 54465990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 128733 (b) 0 (c) -3.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.7, 2\/3, -29, 6.3 in increasing order.\nAnswer: -29, -3, -0.7, 2\/3, 6.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 9*n - 10. Let r be k(2). Suppose -4240 = -5*z + 2*y, 5*z - r*y - 6684 = -2444. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 39. Suppose 3*y + 4*s = 20, 2*y - 8*s = -4*s. Suppose 2*g - 10*g + y*g = 0. Solve g = 3*j - 9 + d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/9569 (b) 41 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 7 - (31 - 40)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.5 + 5.5. What is the nearest to w in -4, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 5. Suppose 1 = -s - 4*x, 4*s + x = 3*x - 58. Let v(c) = 2*c + 10. Let m(n) = s*w(n) - 6*v(n). Calculate m(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -713\/5 - -143. Let w be 5\/(-7)*((-54)\/(-10) + -5). What is the nearest to f in -2\/23, w, -0.3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34233 + -1121?\nAnswer: -40404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44, 6, 238, 742, 1608?\n\"Answer: 15*x**3 + x**2 - 58*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13142032 is divided by 625810?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, h: 4, v: 1}. What is prob of sequence vi?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + x**2 + 3*x - 1. Let t be p(2). Let w = -5.02 - -0.02. Let d = 5.04 + w. Which is smaller: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-56)\/10 + 21\/35. Let b = -3 + 4. Let i = b - l. Solve 2*z = i*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a03b + 2?\nAnswer: 2a040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v**2. Let i(t) = -t**3 - 4*t**2 + 13*t + 6. Let z be i(-6). Let p(g) be the first derivative of z*g**2 + 5 + 1\/3*g**3 + 0*g. Calculate m(p(h)).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + h + 3*h)*(-4*h + 2*h + h)*(6 - 5 - 3)*(41 + 84 + 265).\nAnswer: 780*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 34*d + 8 + 2.\nAnswer: 34*d + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 58 = -23*z. Let n = 31 - z. What is the second derivative of 8*p - 2*p**4 - 35*p**n + 35*p**2 wrt p?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173618.\nAnswer: 2, 47, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, a: 3, v: 1, n: 6, y: 1}. Give prob of sequence avye.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (4 + 2)) + 0 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 633.8740328?\nAnswer: -633.9740328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22626765 and 13576059?\nAnswer: 67880295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -993, -2022, -3089, -4194, -5337?\nAnswer: -6518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-6 - 4 - 3)*((0 + 1 - 2)*(3*p - 4*p + 0*p) + p - 5 + 5).\nAnswer: -52*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5205 + -5242 + (101 - -1).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 1)*(-4)\/(-10). Let c = -311 + 311. Let d = -4 + 8. What is the nearest to c in d, 7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -28*h**3\/3 + 23*h**2\/2 + 30. Find the second derivative of v(w) wrt w.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**2*v**3 + 5638*i**2*v - 6245*i*v**3 wrt i.\nAnswer: 4*v**3 + 11276*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**4 + r**3 - 16*r**2 - 4*r = 0.\nAnswer: -2, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 5:44 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 11*k + 36. What is the smallest common multiple of y(3) and (-360)\/(-2)*(-32)\/(-40)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-4) + 1 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1132 (base 5) to base 8\nAnswer: -247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + z**2)*(-9470*z + 9470*z - 3*z**2 + 28).\nAnswer: -3*z**4 + 28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -34, -75, -128, -193?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n + 2. Let o be j(0). Suppose -145 - 4*b**2 + 28*b + 47 + o*b**2 = 0. What is b?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**5\/20 - 83*l**4\/24 + 5*l**3 - 173*l**2. Let g be m(-28). Find p such that 21\/8*p - 3\/8*p**g + 0 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.100330638 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7, 0, -5, 12, -23 in increasing order.\nAnswer: -23, -5, -1, 0, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.7 - -5.7. Let u = 10 + -7. Which is the second biggest value? (a) u (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, -2\/5 in increasing order.\nAnswer: -2, -2\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (2 - (21 + -5)) - (3 - 3)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 3*c + 5. Let z be g(0). Suppose z*h - 10 = -0. Let u(t) = h - 2 + 6*t. Let o(f) = -3*f**2. Give o(u(p)).\nAnswer: -108*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -10*m + 40. Let f be w(-13). Suppose -40*d = -35*d - f. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**6\/120 - h**5\/20 + h**4\/24 - h**3\/3 + 19*h**2. Calculate o(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12110 is divided by 2765.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Let x = 0.09 + -8.09. Let o = 8 + x. Put o, s, -1 in ascending order.\nAnswer: -1, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9643013 minutes in days?\nAnswer: 0.001364098125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.22 + 0.48. Let m = j + 1.3. Sort m, -3\/4, -4 in descending order.\nAnswer: m, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -2*f**3\/3 - f**2\/2 - 4*f + 2. Let a(i) = 1. Let s be (58\/58)\/(-2*1\/2). What is s*t(x) - 6*a(x)?\nAnswer: 2*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 70688*i - 30350593. Determine j(432).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8c958 - -4?\nAnswer: -8c954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(((i*i**(-6)*i)\/i)\/i*i))\/i*i**(4\/5))**(8\/9) assuming i is positive.\nAnswer: i**(232\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000497 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/8*8*(9\/(-36))\/(3\/44).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqyyqqqy. What is prob of picking 1 y and 1 q?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**5 + 2652*o**4 - 29445*o**3 + 80550*o**2 = 0.\nAnswer: -895, 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 0*u + 2 + 5\/3*u**3 + u**2. What is the second derivative of y(g) wrt g?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 134, 227, 320, 413, 506?\nAnswer: 599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 7:16 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*m + 75675, -m - 3*v + 20223 = -4997. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4159*z**2 + 4*z - 31. Let a(p) = 6*p. Determine o(a(j)).\nAnswer: -149724*j**2 + 24*j - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8827 is divided by 327?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 93*h**2. Let r(o) = -2*o**2 + 20. Calculate d(r(p)).\nAnswer: 372*p**4 - 7440*p**2 + 37200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-7))\/((-8)\/(-28)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 - (162 - 109)) + 82 + 0?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 185933 to the power of 1\/2, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -434175 or -434177?\nAnswer: -434177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/6*6\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l - 47. Give i(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/(-2))\/((-276)\/(-56) + -5). Let x = 67 - m. Let p(r) = r**2 - 3*r + 1. Calculate p(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 21489*i - 8. Let l(k) = 236380*k - 90. Let w(p) = 6*l(p) - 65*o(p). Let y be w(-4). Round y to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-14) + (16 - (25 + -12))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 60857, 121724, 182591, 243458, 304325?\n\"Answer: 60867*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 480 and 1768920.\nAnswer: 7075680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.978 - 0.308. Is r at least 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*y + 6 = 0, 0 = -4*m - 4*y + 55 - 39. Which is the biggest value? (a) m (b) 0.313 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 704 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u. Let a(q) = 6*q - 354. Give n(a(p)).\nAnswer: 36*p - 2124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 v, 1 g, and 1 p when four letters picked without replacement from {g: 2, p: 4, n: 3, v: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 53. Solve -i*r = 2*k + 8, 5*k - r = r - 13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m. Let x(b) = 5 + 5 - 5 + 13*b - 6. Let n(s) = -2*c(s) + x(s). Let i = -51 - -52. Calculate n(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + -4. Let x = 9 + k. Let r(u) = -3*u**2 - 293*u - 8. Let f(m) = -4*m**2 - 469*m - 13. Let z(d) = 5*f(d) - 8*r(d). Calculate z(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from ifinnfniinninfnn.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 15. Suppose 4*y - 29 = -h*z + 4*z, 5*z + y = 107. Calculate the smallest common multiple of z and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1158)\/27)\/((-12)\/1017). Let y = k - 3615. Find the common denominator of (5\/(-7))\/((-13)\/((-91)\/6)) and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 9. Suppose 23 = -3*i + 116. Suppose i - 3 = 2*u. Let a be v(u). Solve 3*k - 10 - a = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10, z: 1, t: 2, n: 7}. What is prob of picking 1 c and 1 z?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*a = 7, k - 7*a - 9 = -3*a. Let u = k + 197. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 2)*(-4 + 3 + 0)*(6*a - 2*a + a + (5*a + 0*a + 0*a)*(5 - 1 - 3)).\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/18405408 and -17\/976.\nAnswer: 18405408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c + 27*b - 6 = -22*c, 0 = -c + 5*b - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (0 - 3)) + 2. Does n = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from ewewwwwweweeww.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4 + 28*k**3 + 623*k**2 - 8982*k - 9576 = 0. Calculate k.\nAnswer: -21, -1, 12, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lt when two letters picked without replacement from {x: 2, l: 2, t: 1, v: 1, c: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 220347 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 892446 and 1238619.\nAnswer: 552424074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1320*d - 610*d + 1866*d.\nAnswer: -64*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 188*n**2 - 4154*n - 500*n**2 + 409*n**2 - 17*n**3 wrt n?\nAnswer: -102*n + 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10\/2563 + 110629\/107646. Find the common denominator of (2856\/35 + -26)*20\/96 and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217090 + 145*p**3 + p - p - 141*p**3 + 216943.\nAnswer: 4*p**3 - 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 + 0*o + 0*o)*(1 - 2*o - 1) - 116*o**3 - 98494*o**2 + 98494*o**2 as m*o + a + t*o**3 + u*o**2 and give t.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 36*g**2 + 34*g - 99. Give s(-37).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 20 + 4. Suppose i*n - 6*n + 28 = 0. Let g be 36\/n*(-28)\/(-6). What is the greatest common divisor of g and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7377*v**2 - 14. Let z(q) = 3*q. Determine z(k(x)).\nAnswer: 22131*x**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -226*z - 134*z + 10 - 38*z - 8 + 57*z in the form m + o*z and give o.\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 - 19*u + 13. Let s be q(9). Let m be (-1 - -1)\/s - -1. Suppose 2*c + 3*c + 3 = -2*r, c = -m. Calculate the highest common factor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**2 + 1. Let v be c(1). Let w = -39 - -40. Let o be 4*(-1 - w - -1). Put o, v, -1 in decreasing order.\nAnswer: -1, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 9*a**2 - 17*a - 91. Calculate j(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33812402 - 57*s + 33812402 + 56*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzzzzinknnfidzn. What is prob of sequence zznf?\nAnswer: 4\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*l + 131*l + 93*l + 277*l + 196*l - 60*l.\nAnswer: 515*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)\/sqrt(9) + sqrt(6)\/(sqrt(3) + sqrt(3) + sqrt(12)\/sqrt(4)))**2.\nAnswer: 512\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 99?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b5a84 (base 15) to base 7\nAnswer: 4616443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -7. Suppose 0 = y - f*y - 21. Let g = -9 - y. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 6*y**2 + y - 4. Suppose 2*p - 18 = -6. Let q be w(p). Suppose 1 + 3 = q*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 + -61 + (-2 - 2) + (2 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 12 - 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4239))\/(41*96\/(-35424))?\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-46)\/(-253) - 408\/2486. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 1167 = 5*b - 775, 3*x - 1554 = -4*b. Suppose -r - 5*r = -b. What is the units digit of r\/1 + -2 + 0\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 16.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**2. Let p(c) = c. Determine x(p(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -484098.7598 rounded to the nearest 10000?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1400710 is divided by 94.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 313257074 to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 814*y + 72. Let x(n) = 51*n - 1. Let z(d) = 5*k(d) - 80*x(d). What is z(44)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 183. Let i(p) = -940*p. Determine y(i(a)).\nAnswer: -883600*a**2 - 183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4267, -2, 3\/5 in decreasing order.\nAnswer: 2, 3\/5, -2, -4267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*b**4*s + 3119*b**3*s + 12*b**3 - 361*b**2 - 6*b*s + b + 55*s + 1 wrt b?\nAnswer: -648*b*s + 18714*s + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3384 + 10779. Does 29 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -10*l**2. Let a(z) = -2*z**2 - 4121. Determine a(y(d)).\nAnswer: -200*d**4 - 4121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-4*1)\/(-1)*(-24024)\/(-7392)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2273976994?\nAnswer: 2, 1136988497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 667 - 368. What is the units digit of (-3)\/(-15) + f\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148600*d + 148598*d + 2 - 2.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3\/5 - 25\/(1125\/(-378))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652950 is divided by 37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2987180.164 to the nearest 1000.\nAnswer: 2987000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1162*n**2 + n - 1154*n**2 + 3*n - 5*n**4 + 2*n**3 - 3*n + 2 to s*n + m*n**2 + a*n**3 + h + y*n**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -19*b**2\/2 + 9. Let a(d) = -d. Give m(a(p)).\nAnswer: 19*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -7 (c) -4 (d) 0 (e) -2\/11 (f) 295\/438\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2652 - 29132\/11. What is the common denominator of g and 25\/51?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -14 + 6, d + 1 = j. Let p(b) = 9*b + 9. Let o(w) = -w - 1. Let a(t) = j*p(t) - 24*o(t). What is the units digit of a(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q. Let r(u) = -1318*u - 78. Let g(h) = -363769*h - 21515. Let n(j) = -6*g(j) + 1655*r(j). Give i(n(c)).\nAnswer: -1324*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 537*y + 6353. Calculate w(-12).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 326.99 - 327. Is y smaller than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-33 + 63 - (0 - -4))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.95 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439691?\nAnswer: 7, 23, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*b + 12*b + 2 - 5)*(2*b - 2*b + b)*(-173*b + 1030 - 1030 + (0 + b + 0)*(-1 + 0 + 0)).\nAnswer: 348*b**3 + 522*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o + 7*o - o - 3*o in the form a + z*o and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 1\/2, 2, -0.42?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 4*c + 2. Let a(y) = 4*y**2 - 11*y - y**2 - 58 + 52. Calculate -4*a(d) - 11*i(d).\nAnswer: -d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237101.\nAnswer: 19, 12479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 13. Calculate the common denominator of 61\/u - 1\/(-3) and 95\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2008135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62372, -62250, -62128, -62006?\nAnswer: -61884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Let p = 0 + v. Let g = -0.053 - -0.553. Which is the third smallest value? (a) g (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from ddkvvvddvdvkvvkdv?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23196857, 46393701, 69590533, 92787347, 115984137, 139180897?\n\"Answer: -t**3 + 23196851*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179049*m - 104397*m + 51322*m - 70333*m - 33718*m.\nAnswer: -336175*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*y - 15. Suppose q - 13 = 3. Suppose -q*t = -13*t + 3. Which is the nearest to t? (a) 1\/3 (b) y (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 151.9925904 microseconds?\nAnswer: 0.0000000002513105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*i = 6*v - 8, 0 = -5*v + 5*i + 20. Let w = 2 + v. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -3 (b) -4 (c) 5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/4)\/g*g)\/g**5*g**(-1\/3)\/(g**(-1\/2)\/g) assuming g is positive.\nAnswer: g**(-37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 4*z + 96. Is -23 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w. Let a be (-2 - (-3)\/1) + 1. Let q(v) = 4*v - 3*v - a*v. Let r(f) = 2*f. Let y(t) = -3*q(t) - r(t). Determine x(y(h)).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6259609, -6259607, -6259605, -6259603?\n\"Answer: 2*d - 6259611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 296806.5 rounded to the nearest ten thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -482389\/195120 + 1\/21680. Find the common denominator of 17\/40 and i.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 3*r - 576 = 0. Suppose r*a = 73*a - 5. Solve 0 = -a*s + s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3535040261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 54.1. Let s = 3.1 + m. Is -21 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 - (27 + -29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 1. Let t be y(-4). Let k(o) = t*o - o - o. Suppose 27*c + 93 - 12 = 0. Calculate k(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 40*s + 30*s - 39*s - 4 to the form n + j*s and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a - 8a600?\nAnswer: -8a581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/44 and 4554\/(-154)*1\/(-12)?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 4*c + 2 = -14, 0 = -q - c - 9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) 4\/3 (c) -5\/3 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57575?\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from ztzzzztszzzszkzzkzkk?\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4607.47 * 3\nAnswer: -13822.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.7 - -20.7. Let y = q - 13. Let m = 8 + -8.5. Which is the closest to y? (a) -0.1 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**2*j**3*o**2 + 26788*b**2*j*o**3 + 54*b*j**3*o**3 + 2*b*j**3 + 118*b*j**2*o**3 + 2*j*o**3 wrt b.\nAnswer: 6*j**3*o**2 + 53576*j*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(576))\/sqrt(12) + -4.\nAnswer: -8*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.107 rounded to one dp?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 - 194*y**3 - 39 - 27 + y**2 + 104 as w + i*y + r*y**3 + h*y**2 and give r.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**4 - 11*w**3 + 3 + 21*w**3 + 3 - 12*w**3 to the form b*w**3 + a*w**4 + z*w**2 + c + t*w and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t - 2*t - 4*t + 0*t - t + 0*t + (2 + 1 - 2)*(2 - 2*t - 2) - 400*t - 161*t - 38*t + (1 - 4 + 6)*(2*t + 0*t - 4*t).\nAnswer: -609*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**5\/20 - v**4\/3 + v**3\/3 - v**2 + v. Let b be 3 + 5\/((-15)\/24). Does 13 divide f(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + (4 + sqrt(128) + 4 + sqrt(128))**2.\nAnswer: 264*sqrt(2) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 93, 208, 323?\n\"Answer: 115*c - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*s - 8 = 61*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.053 + -2.133. Which is the closest to 1? (a) l (b) 0 (c) -0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + sqrt(432) + -3 + sqrt(432) + sqrt(432) + 0)**2.\nAnswer: -288*sqrt(3) + 6921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 14192294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*t**3 + 27*t**3 + 6*t**3 + 0*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 130\/42 + 1 - 4. Let j = -176 - -176.4. Which is the third smallest value? (a) 0.2 (b) -2\/7 (c) j (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 7)*(-2 + 2 + 1)*(-3 + 2 - 1)*(0*l - 4*l + 2*l) as y + k*l and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 29*1\/1. Let u be (2\/(-4))\/(2\/(-12)). Suppose 0 = 5*z - x, 2*l - 5*z - 3760 = -u*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 3*d + 4. Let c be y(3). Let g(u) = 2*u - 1. Let a be g(4). Let t = 11 - a. Solve 0 = -2*i + c*p + 20, 5*i - t*i + 2*p = -10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -69*y. Let t(d) = -2*d + 21. Let m(s) = 2*s - 28. Let c(v) = 3*m(v) + 4*t(v). Determine c(b(r)).\nAnswer: 138*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8930.101 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 3 + 2*h - 7*h. Let r(n) = 18*n + 14. Let i(m) = -9*m - 7. Let d(k) = 7*i(k) + 4*r(k). What is -2*d(c) - 5*l(c)?\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 685453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) - 5*sqrt(96))\/sqrt(12))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 58595141?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a + 9. Let w(t) = 3*t + 11. Let m(d) = 3*d + 12. Let h(s) = -3*m(s) + 4*w(s). Give 4*h(u) - 3*z(u).\nAnswer: 3*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -64 + 1050?\nAnswer: a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 20 = -0*r. Let m(n) = 4*n**2 - 3*n + 1. Calculate the remainder when m(2) is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179383628.\nAnswer: 2, 44845907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d**2 - 8*d - 9. Let u(w) = -w**2 - w - 1. Let y(m) = s(m) - 5*u(m). Let r be y(5). Is (212\/r)\/(6\/9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 - 11*t**2 - 4*t + 39. Suppose 237*h - 234*h + 24 = 0. Is g(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.29531 - 0.10469. Sort z, -244\/5, 4 in increasing order.\nAnswer: -244\/5, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 1210*t**2. Let a(x) = -x - 1580. Give a(h(u)).\nAnswer: -1210*u**2 - 1580","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -15580168 less than -15580146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 9.08. Let f = u - -0.42. Which is the third biggest value? (a) -4 (b) f (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 70201 + 17*i**3 - 70201.\nAnswer: 17*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 177c20 + 14?\nAnswer: 177c34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*w + 3*u - 322, 4*w = 3*u + 410. Does 26 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ded (base 16) in base 3?\nAnswer: 101111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 6*a - 3. Let v be b(-5). Suppose -y = -v*y. Let h be (1 + -21)*4\/10. Which is greater: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13635 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21885143.\nAnswer: 7, 3126449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12190 (base 12) to base 13\nAnswer: b184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*b + 32*b - 21*b)*(-7 + 1 + 0)*(-8 + 1 - 4).\nAnswer: -264*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 153601674?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 1:36 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 686.3027nm to meters.\nAnswer: 0.0000006863027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 600 + -600.0486. Let u = -0.0717 + c. What is u rounded to three dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16003889 is divided by 59494.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4 - 464*y**3 + 20932*y**2 + 747776*y - 2419350 = 0. What is y?\nAnswer: -25, 3, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/11)\/(z*z**0\/z)*(((z*z*z*z**(2\/13)*z*z*z)\/z)\/z)\/((z\/(z*(z\/z**(-3\/10))\/z))\/z))**8 assuming z is positive.\nAnswer: z**(32236\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.1 (b) 37 (c) -2\/9 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 95160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27973*j**3*k**3 - j**3*k**2 - 10*j**3 + 100*j**2 with respect to k.\nAnswer: 83919*j**3*k**2 - 2*j**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2) + (-228)\/(-54).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -2\/24599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b. Let d(z) be the third derivative of 29*z**5\/3 - 5*z**4\/24 - z**2 + 401. Determine d(r(x)).\nAnswer: 580*x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23050 (base 8) to base 11.\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*o - 5*z - 7, -3*o - 4*z + 1 = 0. Suppose 12 = -o*n + 7*n. Suppose n*p - 172 = 2*p. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 11823324?\nAnswer: 11823327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1251134.\nAnswer: 2, 419, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000115795 to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 divided by 55?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 287 or 299?\nAnswer: 287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12460 and 80500?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 6) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**5\/70 + 20*i**4\/21 - 437*i**3\/21 + 722*i**2\/7 - 437*i. Determine n, given that w(n) = 0.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2955 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d**2. Let a(n) be the second derivative of -n**6\/120 + 5*n**3\/6 + 4*n. Let o(z) be the second derivative of a(z). Determine o(h(y)).\nAnswer: -147*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/21)*r*r*r**11)\/(r**(-2\/15)*(r\/(r*r**(-2\/41)*r))\/r) assuming r is positive.\nAnswer: r**(64529\/4305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3078 + 204.\nAnswer: -2874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 11*k - 18. Let n be b(3). Solve 2*x = -3*x - n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4544\/426*(-21)\/(-14)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 2 - 3)*(-2*f**3 - f + f)*(-f + 4*f - 5*f).\nAnswer: 44*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -29*j - 899. What is k(-22)?\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8) - 69\/(-6)) + (-18)\/(-72).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**4 + r**3 + r**2 + r. Let x(c) = 24*c**4 - 2*c**3 - 10*c**2 - 2*c. Let t(h) = -4*u(h) - 2*x(h). What is the third derivative of t(b) wrt b?\nAnswer: -1056*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 10:27 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -4.007. Let n = 0.0607156 - 0.05371142. Let v = u + n. Round v to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -124742?\nAnswer: -124742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 888 + -876. Let t(p) = -p**2 + 13*p - 9. Let z be t(12). Solve 0*f + z*x - 16 = f, -f = -2*x + h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 6*z - 1. Let k be b(3). Let y(o) = -14*o. What is y(k)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 10:05 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 483082 or 482983?\nAnswer: 483082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-104)\/16*6\/9. Solve t = -5, 5*v + i = 4*t + 53 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 11. Calculate the remainder when ((-8722)\/(-77))\/7 - (-2)\/(-11) is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/30)\/((-2)\/(-10))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -8484*w. Let z(g) = 2*g + 34. Give z(o(v)).\nAnswer: -16968*v + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmeeeeeuz. Give prob of sequence zm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -8877*d - 26665. Calculate u(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -3 (c) -12239\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**2 - w**2 + 2*w**3)*(-2 + 1 - 5)*(-2*w + w - w) in the form g + d*w**3 + n*w**2 + f*w**4 + u*w and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 67 + 73 + -169\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, 7, -6, 0, -0.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 59)\/(-7) + (-6)\/(-3). Let w(t) = -5*t. Let s be w(-6). What is the highest common divisor of u and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 236*s - 3366. Let o be z(15). What is the greatest common divisor of 57 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - p = 27. Let g = -8 - 1. What is the remainder when 1\/p + (-210)\/g is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -29392, -29370, -29334, -29284, -29220, -29142, -29050?\n\"Answer: 7*m**2 + m - 29400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 72404370, 72404371, 72404374, 72404379, 72404386?\n\"Answer: c**2 - 2*c + 72404371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 n when three letters picked without replacement from nnnnneennnnhnn.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/10)\/(-1) + (-5448492)\/(-270) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -8. Sort 0.4, 2, k in ascending order.\nAnswer: k, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (-57 - (0 - 34)) + 77.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l + 3*l)*(0*l**3 + l**3 + 2*l**3)*(280*l + 334*l - 244*l).\nAnswer: 2220*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3758 + 3888. Calculate the remainder when 139 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m**7*m)*m)*m*m**(-3\/5)*m)**(-2\/19))**(-37) assuming m is positive.\nAnswer: m**(3108\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -1212100132100?\nAnswer: -1212100132023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 19\/4 of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -x - 2, 6*q - 3*q = -x - 4. Let n(h) = -12*h - 121. Let y(s) = 21*s + 214. Let o(u) = 5*n(u) + 3*y(u). Give o(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 992 - 398. What are the prime factors of 45\/18*(-1 - f\/(-10))?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10.43+21862064\nAnswer: 21862074.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 4037.6468 to 0 dps.\nAnswer: 4038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170133*s - 171092*s - 58499 = 0 for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -12\/49?\nAnswer: -12\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*n)*(4*n + n - 3*n) + n**2 + 2*n - 2*n + 4 - 2 + 0 + 4*n**2.\nAnswer: 9*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22.17 + -23.1. Let u = -1.04 - b. Let y be -1 - 4\/(-3) - 1. What is the third smallest value in u, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6485*b**2 + 84311*b + 44. Give m(-13).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 3 (c) -0.0797 (d) -1\/6 (e) -3 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6862 + -6732. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 s when four letters picked without replacement from svsssvv.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 19. Suppose 49 = y*n - 71. Suppose -9*v = -311 - 49. Calculate the smallest common multiple of n and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**4\/12 + k**3\/3 - 31*k**2\/2 + 12*k. Let p be v(-6). Let g be 11 + (-15 - -8) - 122\/12. Which is smaller: g or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 14\/3, 3, 2215\/4, -7, 1\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*f + h, -7 = -9*f + 8*f + 4*h. Suppose -17 = -3*j - 4*p, 7*p = 3*j + 2*p - 53. Suppose -j*k + 75 = -6*k. Solve n - k = -f*u + 4, u - n = 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/50)\/7*-25?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 + 7*a - 4. Let m(j) = -6*j**2 + 22*j - 12. Let f(n) = 2*m(n) - 7*y(n). Let b = -90 + 60. Let r be (6\/(-10))\/(6\/b). What is f(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (0 - 3) - (32 + 10 + -60)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000174485186 rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6061643.5612 and -1?\nAnswer: 6061642.5612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 3) + 17 + 50 - (15 - 15).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/55 - (-3)\/(-5). Let u = -0.26 + -32.74. Let v = -33.2 - u. What is the nearest to v in -4, n, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(3\/8))\/f*f*f\/f**(1\/4))**(-22) assuming f is positive.\nAnswer: f**(-275\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -725711509 take away -285189?\nAnswer: -725426320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 2:36 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 235 - 335.2. Let c = a + 99. Let y be -3 + (0 - (-30)\/9). Sort y, c, -0.4 in descending order.\nAnswer: y, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 1047*m**3 + 1395*m**2 - 4192*m\/3 + 4\/3 = 0.\nAnswer: -2, 1\/1047, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -0.103 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 21*g**5\/8 - 219*g**4\/2 + 5397*g**3\/8 + 30543*g**2\/4 - 11817*g\/2 - 2295 = 0.\nAnswer: -6, -2\/7, 1, 17, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14303553 and 2145?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140706.9681 rounded to the nearest ten thousand?\nAnswer: 1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -0 - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.038 + 11. What is p rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*v. Suppose v*t = -3*t - 2*w + 4, -2*t = -w - 5. Solve -t*a + 5*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 1.9. Let q = 3 + -2.3. Let o = q - g. Which is the closest to 0? (a) -4 (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4257463257 rounded to the nearest 100000?\nAnswer: -4257500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -179 - -275. Suppose u + 11 = -3*w, -3*u - 74 = 5*w - 33. Let r = b - u. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16, -30, -44?\n\"Answer: -14*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 174 = 5*z + 26, -42*z - i = 117*z + 134*z + 1214 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = -5*p - p. Let w be -3 - (-54)\/21 - p\/7. What is the second smallest value in -0.2, -1\/15, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/27*6 + 7. Put q, 75, 0 in increasing order.\nAnswer: 0, q, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152349.5 rounded to the nearest ten thousand?\nAnswer: 1150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9\/5 (b) 7\/10 (c) 109\/5 (d) 7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 6*h**2 + 87*h + 171. Determine c(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 410874 and -0.48?\nAnswer: -197219.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 + 0.2. Let q = -114.8 - -115.3. Let l = -1430\/17 - -84. What is the second smallest value in q, l, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)*1 - sqrt(150))\/sqrt(5) + sqrt(30))\/(6*sqrt(6)*2) + 4.\nAnswer: sqrt(5)\/12 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 9 - 1 = 0. Let d be ((-5)\/x)\/(7\/238). Suppose w + 4*w = d. Calculate the remainder when 49 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 5:22 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 3689109?\nAnswer: -1106732.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -43 = -65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1 times -18841?\nAnswer: -96089.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 25, 3*w - 4*t = 92. Suppose -b - w = 3*b. Round b to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1028836473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 40, 98, 192, 316, 464?\n\"Answer: -d**3 + 24*d**2 - 7*d + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1434613336?\nAnswer: 2, 13, 47, 127, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1425*l**3 - 1268 wrt l?\nAnswer: -4275*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003139 to five dps.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -0.0079\nAnswer: -0.000237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**(-15\/8)*((d\/(d**(-9)*d))\/d)\/d*d\/(d\/(d\/((d*d**(-1\/2)*d*d)\/d))) assuming d is positive.\nAnswer: d**(67\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 23. Let n be (-1)\/2 - 445\/k. Is (-4)\/10 + (-783)\/n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472041722281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2512 is divided by 42.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 8 = -2*p. Calculate the smallest common multiple of 3 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - c + 14 = -3*v, -5*v = 4*c - 6. Calculate the remainder when 39 is divided by v*(-63)\/4*(-2)\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 1\/96*v**4 + 0*v**3 - 12*v**2 + 0*v - 1\/896*v**8 + 1\/960*v**6 + 1\/240*v**7 + 0 - 7\/480*v**5. Find a, given that f(a) = 0.\nAnswer: -1, 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*2 + -16*2268\/(-3600). Which is the biggest value? (a) m (b) 0.1 (c) -109 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 31 - 8 - 3*m.\nAnswer: -2*m + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -246 (base 9) in base 11?\nAnswer: -176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -4. Let p = t + 5. Which is the third smallest value? (a) -5 (b) p (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 18*u - 13*u + 524, -q + 259 = -u. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**2 + 19*w - 35. What is p(0)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135 + -273\/2. Which is smaller: -3 or m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.32 - 2.68. Let d = 7 + i. Do -2 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 307 = 39*z + 112. Sort z, -21, 0.05 in ascending order.\nAnswer: -21, 0.05, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 7*t**2 + 10*t + 3. Let o be x(5). Suppose -3 - o = -3*z. Solve -4*v + 12 = 0, y + z*v = -0*v + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21740537647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245 and 15680?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than 1\/112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159386 is divided by 1627.\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 58865120 divided by 18640?\nAnswer: 3158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.077 (b) -2 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = y. Solve y = -u - u - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/289 in -0.4, -0.06, 3, -1\/5, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1980*y - 23 - 1983*y + 22 + 1.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 92, -2, 9, 6, 2 in descending order.\nAnswer: 92, 9, 6, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c**2*f**2 + 200944716*c**2 - 69471667*c*f with respect to f.\nAnswer: -8*c**2*f - 69471667*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 - 18.8. Let j = 19 + y. What is the third smallest value in 0.2, j, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.878365kg in tonnes?\nAnswer: 0.008878365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j - 38*j = -44. Let r be (-2)\/(-4) - 5\/(-2). Suppose -8 = 2*q, 3*d - j*d + r*q + 27 = 0. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9562, -19129, -28698, -38269?\nAnswer: -47842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -11*y**3 + 5*y**2 + 5*y. Let u(m) = 39*m**3 - 18*m**2 - 18*m. Determine 18*a(f) + 5*u(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by 131646?\nAnswer: -49\/131646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 136082 + 26869?\nAnswer: 162951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*t**3 + 15*t**3 + 70*t**3 - 173*t**3 + 11*t**3 + 48*t**3 + 17*t**3.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/64, 6, -46169 in increasing order.\nAnswer: -46169, 1\/64, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from apwaarwa?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 19*d**6\/360 - d**5\/120 + d**4\/8 + 2*d**3\/3 - 3*d**2. Let v(s) be the first derivative of t(s). Does 22 divide v(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 78\/5 - (-4)\/10. Suppose 3*k - 6 = 0, 0*q = 5*q - 3*k + 56. Let n = q - -26. Solve -3*p - 4*f + g = 0, -3*p - n = 2*p - 4*f for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j + 42. What is p(-17)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g - 1657 = 3*g - 54442. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/69 + -19\/69. Suppose 3*l - k = 11, -k + 32 = 4*l + 2*k. What is the closest to 0.1 in l, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 288 - 757 = -3*h, h + 2*i - 159 = 0. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120111100210122 - 22?\nAnswer: 120111100210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {h: 2, s: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/14)\/(9\/(-126)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-0.0691.\nAnswer: 0.03455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**4 + 1 + 6*o - 5*o**2 - 3*o**2 + 4*o**4 + 10*o**2 to the form y*o**4 + v*o**2 + n + c*o + b*o**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.0742, -102\/5, 145?\nAnswer: 0.0742","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 u, and 1 w when three letters picked without replacement from wwduwfffwffwfuff?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12455 is divided by 1033.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013244351 rounded to six decimal places?\nAnswer: -0.000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/300 and -151\/510.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 72147, 292685, 661611, 1178931, 1844651, 2658777, 3621315?\n\"Answer: q**3 + 74188*q**2 - 2033*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p + 4*p - p + (5*p - 3*p - 3*p)*(-4 + 0 + 2) - p + 0 + 0 - p + 0*p + 3*p + 60*p + 24 + 30 - 54*p to the form c + y*p and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -3851?\nAnswer: 384a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 378c - 5?\nAnswer: 3787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/950067 and -91\/160455760.\nAnswer: 1444101840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -7403*c + 37012. Determine j(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g + 4*g - 13*g. Let d(r) be the second derivative of r**3\/3 + 2*r. Determine d(l(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -124 - -118. Let k(u) = -17*u - 18. Is k(g) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/6 and 31\/857.\nAnswer: 5142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007326?\nAnswer: 2, 503663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-6)\/(-15))\/((-16)\/10)*54 and 73\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*y - 3987 = 6401, -4*y + 20 = 0. Sort -3, 3, t in increasing order.\nAnswer: t, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4 = -148. Let v = -43 - g. Suppose 9 = 5*o + 4*t, -4*t = -v*o + t + 45. Solve 4*w + 26 = o*y, y = -w - 3*w - 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*u - 1999 = 0, -857 = -2*o + 5*u - 69. Calculate the greatest common factor of 42 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -476 (base 9) in base 4?\nAnswer: -12021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 11 + 7*q - 3*q - q - 14. Give t(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 8*a**2 + 14*a - 10. Let i be x(7). Suppose 97*o + 10234 - 16658 - 12491 = 0. What is the greatest common divisor of i and o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6df (base 16) to base 7\nAnswer: -5062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -131 + 151 - 3576*v - 12357*v - 26447*v. Let c = 7 - 28. Let t be u(c). Round t to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -59.\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 9 = 3*o. Let w(p) = -p**3 - 2*p**2 - p. Let g be w(o). Let u = -8 + g. Calculate the least common multiple of u and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppipphipppihpppiiipi. What is prob of picking 2 i, 1 p, and 1 h?\nAnswer: 154\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/891 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26687?\nAnswer: 26687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/(-28)*4\/10.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, -2\/5, -5, -1.6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 898285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-6*(3*sqrt(117) + sqrt(117)))\/(sqrt(63)\/(sqrt(14)\/sqrt(2)*-3)))**2.\nAnswer: 269568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than -7\/191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 14*b**2 + 6. Let a be w(14). Is a less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2858364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -48107*m**2 + 384868*m - 8. Give r(8).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3994824 by 665804.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 20*a + 2. Let h = -1 - -2. Let y be v(h). Calculate the highest common factor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2553924, -2553922, -2553920, -2553918, -2553916?\n\"Answer: 2*k - 2553926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*t**2 - 11 + 11 - 15*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.5 - -1.5. Let k = 10.8 - y. Let g = k + 0.2. What is the second smallest value in 0.3, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 4 + 5*4\/(-12). Let p = 112 + -107. Which is the fourth biggest value? (a) p (b) m (c) -4 (d) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -15. Let h be u + 0 - 2245\/(-380). Let r = -60\/19 + h. Which is bigger: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 443 + -438. Let w(i) = i**2 - 21*i + 94. Is 14 a factor of w(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 1 = 5*k + 6, 109*k - 4*q = 113*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, q: 11}. Give prob of sequence qqcq.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1272236?\nAnswer: 2, 7, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82\/60 - (-48)\/(-32)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7790 is divided by 1295.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from cjsjv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6818, -14324, -22506, -31364, -40898, -51108?\n\"Answer: -338*y**2 - 6492*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2978 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 1. Let k be -4*14355\/174*4\/(-5). Suppose -j*d + k = -120. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330530 is divided by 18361.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53946 and 4130514.\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 1)*(5 + 0 - 3)*(n**3 + n**4 - n**3) - 27331*n**3 + 27331*n**3 - 150*n**4 to u + t*n**3 + v*n + j*n**4 + w*n**2 and give j.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 69.93607 and -0.03.\nAnswer: 69.90607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62019*b + 62019*b - 10*b**3 - 14*b**3 - 2*b**3.\nAnswer: -26*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -17. Let a = -30 - -14. Let p = a + q. Sort 5, -2, p in ascending order.\nAnswer: p, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -355 and 333106872167.\nAnswer: 333106871812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 158680?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -49c59 - 89?\nAnswer: -4a015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83749 is divided by 83465.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -10. Let n(w) = -8*w - 5*w + h*w. What are the prime factors of n(-7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -89, -185, -281, -377, -473?\n\"Answer: -96*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 7*j + 5. Let l(n) = 2*n**2 - 4*n. Let r be l(3). Let g be u(r). Which is bigger: 2\/93 or g?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a31d7 + 1?\nAnswer: -1a31d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00204124 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 122*c**2 + 420*c - 420*c as u + z*c**2 + a*c and give z.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/21*(-2)\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q - 7. Let x be w(5). Suppose 10 = -5*c, -c = x*v - 2*c - 38. Suppose v = 2*t - 4*n, -2*n + 3*n - 37 = -2*t. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12552 is divided by 24.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2))\/c*c*c**6*(c*(c\/c**(5\/4))\/c)\/(c**(-10)\/c))**46 assuming c is positive.\nAnswer: c**(1449\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 654\/78 + -3. Suppose 4*u - 5*g + 28 = u, -5*u + g - 10 = 0. Which is bigger: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -17267?\nAnswer: -3453.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*sqrt(1425)\/sqrt(3).\nAnswer: -5*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, v: 7}. What is prob of sequence vj?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -4*u - 57 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 9:48 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13726076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021 (base 4) in base 3?\nAnswer: 2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 4*i + 5. Calculate the smallest common multiple of 2\/19 - (-2358)\/342 and w(4).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 222*h - 223*h - 5 = 0, -z + 5 = -h for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10066644 and 23488836?\nAnswer: 70466508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -3*p + 4*m + 189, 0 = -2*p - 4*m + 106. Calculate the remainder when 707 is divided by p.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.4, 4, -0.4, -16?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44 - s**3 - 43 + 3*s**2 - s + 3*s to the form q*s**3 + o + y*s + n*s**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 6*v + 3. Let u be f(6). Does 23 divide (-4 - 1)\/(u\/(-69))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*i**3*l**3 + 17*i**3*l**2 + 2005*i**3*l + i**2*l**2 - 23*i**2 + 2*i*l**3 - 2*i + 600*l**2 wrt i.\nAnswer: 30*l**3 + 102*l**2 + 12030*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208117.\nAnswer: 7, 13, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 6*b - 100. Give j(7).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 + 44. Let d(v) = 2*v + 20*v - 9*v. Let f(i) = 14*i. Let w(r) = -7*d(r) + 6*f(r). Let p(z) = -4*z. Calculate c*p(h) + 3*w(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 22*w - 18*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, z: 1, y: 2}. What is prob of picking 1 z and 1 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2020.8 from 66.65.\nAnswer: -1954.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27 - 82d7?\nAnswer: -8320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 0 - (-4 + 9 + -6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 27 + 3 = 0. Suppose w*s + 13 = 38. Suppose x = -5*j + 21, -s*x + 2*j = -2*j - 221. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -578687*t - 92*t**2 + 1157358*t - 578671*t.\nAnswer: -92*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*h = 77*h + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24437327 and 1566155.\nAnswer: 5309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -38 - (5 + -4 + 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 7. Suppose b*f + p - 5 = 0, -p + 0*p = -5*f + 19. Solve 0 = f*a + 2*k - 10 + 1, -5*a - k + 8 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1652? (a) 0.3 (b) -2\/7 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1722)\/369)\/(4\/(-6))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63012007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 + -2b?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 989454071 is divided by 75.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - u**2 - 4*u**2)*(-1 + 1 - 8*u**2)*(-4 - 4 + 3).\nAnswer: -40*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13578 - 13573. Solve -4*o = t*r - 19, 14 = -8*o + 7*o + 5*r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -2*d - 10, 237*d - 241*d - 6*m - 20 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 46*h + 5834. Let c be u(-127). Let i(l) = l**3 + 8*l**2 + 8*l + 11. Let d be i(-7). Put 1, d, c, 2 in ascending order.\nAnswer: c, 1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*q = i - 224*q - 5502, 5*i - 2*q - 27470 = 0. List the prime factors of i.\nAnswer: 2, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*z - 346 - 627 = -25 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 5*n + 0*n**3 + 0 - 3\/8*n**4 - 1\/2*n**2. Let m(w) be the first derivative of s(w). Let l(c) = 3*c**2. What is l(m(d))?\nAnswer: 243*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1138*0.5\nAnswer: 0.0569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 9*d**2 + 6*d - 9. Let w be g(-8). What is the common denominator of (w\/21)\/(14\/303) and (-190)\/(-4)*3\/(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13586774, -13586771, -13586768, -13586765?\n\"Answer: 3*f - 13586777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 494?\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n*t**4 + 2712*n*t**3 + 8263*n*t**2 + n - 2*t**5 - 2*t**2 wrt t.\nAnswer: -48*n*t + 16272*n - 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 192234*g + 3079492563.\nAnswer: 3*(g + 32039)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j. Let i(u) = 58*u**2 + 8*u. Give i(s(m)).\nAnswer: 58*m**2 + 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 1\/20*n**5 - 1\/3*n**4 - 1\/3*n**3 - n + 0 + 3*n**2. Let p = -8 + 12. Give l(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (2 + -1 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -1 (b) 3 (c) -1.93 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68.6945 + -4.3665. Let v = u - -0.461. What is v rounded to zero dps?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**3 + 10*t**2 + 6*t + 5. Suppose -2*z = -0*z + 4*n - 32, -5*n = -3*z - 18. Calculate c(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0898 - -437.9102. Let v = n - 432. What is the third biggest value in 0, v, -2\/11, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 59*l - 48*l - 10 + 11 + (0 - 1 + 4)*(-14*l - 3*l + 5*l).\nAnswer: -143*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -92 + -18831?\nAnswer: -188c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = 6*d + 63 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 5*p**2 + p**2)*(4*p**3 + p**3 - 2*p**3) + (2*p + 2 + 0*p - p)*(-4*p**4 + 6*p**4 + 2*p**4).\nAnswer: -5*p**5 + 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47751 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(50\/(-33) + (46 - (-76104)\/(-1661)))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a litre in millilitres?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2195676435.\nAnswer: 3, 5, 587, 249367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-20))\/((-1)\/(-10)). Let i(o) = -o**2 - 7*o - 7. What is i(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14790 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -26.95?\nAnswer: -134.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 5*g**2 + 2. Let i be q(5). Let t(n) = 12*n**2 - 9*n**2 - 4*n**i. Let f(y) = -2*y. Give t(f(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 3:05 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21559 + -21557. Factor 6\/11 + 8\/11*z + 2\/11*z**w.\nAnswer: 2*(z + 1)*(z + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457746 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1581 divided by 463?\nAnswer: 1581\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 162, 163, 164, 165?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*48.\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 3*m - 8. Let w be o(5). Let n(f) = -2*f**w + 9*f**2 - 4*f**2 - 2*f**3 + 3*f + f**3. Determine n(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*d**2*m**3*y*z + 96058234*d**2*m*y*z + 7*d*m**3*y - 92*d*m**3 + 10*d*m**2*y - 2*d*m**2*z - d*m*y*z + 2*m*z - y + z wrt d?\nAnswer: 14*m**3*y*z + 192116468*m*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -8, -0.3, 4\/15 in descending order.\nAnswer: 4\/15, 1\/5, -0.3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 1\/2 (c) 2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35357096*n - 12200261.\nAnswer: -35357096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -1163\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l - 30*l = 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 12 = -4*o. Let g be o\/(-15) - 184\/(-10). Suppose -4*v = 2*i - g, -4*i = -3*i + 5*v. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2825380 - 4\nAnswer: -2825384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28771?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13507364 plus -732?\nAnswer: 13506632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8876\/23 - 386. Which is the closest to n? (a) 0.2 (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16, 361, -80, -1747, -5048?\n\"Answer: -68*t**3 - t**2 + 856*t - 803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**3 + 50*n**2 - 241*n - 10. What is k(14)?\nAnswer: 928","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74*q**3 - 13012*q**2 + 1983936*q wrt q?\nAnswer: -444*q - 26024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23445 and 9378?\nAnswer: 46890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*sqrt(2448) + -5 - sqrt(2448)) - (sqrt(2448) + -4 + (sqrt(2448) - (sqrt(2448) + 0)))*1)**2.\nAnswer: 6336*sqrt(17) + 296784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 plus -0.12492955?\nAnswer: -121.12492955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6573145 less than or equal to 6573120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6\/k**(-1\/2))\/((k**(-1)\/k)\/k)**17 assuming k is positive.\nAnswer: k**(115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/((-17)\/51*21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0.8, -0.2, 0.1, 0.093 in descending order.\nAnswer: 0.8, 0.1, 0.093, -0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-40.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -27604696840 and 31.\nAnswer: -27604696809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s + 2*f - 1, s + 3*f = 12. Let a be 2\/s + 152104\/240900. Let p = a + -2\/1825. Is -1 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4981488 = -3*h + 18*j - 15*j, -5*h - 8302474 = -3*j. Let s be (-32)\/80 + (-1 - h\/(-5)). What is s rounded to the nearest ten thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1226*a**2 + 8*a**3 - 1226*a**2.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 g when four letters picked without replacement from hppgghgpgg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4*-15*408\/1190\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i**3 - 4. Let b = -17 + 11. Let h be b\/21*(-15 - -1). Let n(d) = 6*d**3 + 5. Determine h*n(p) + 5*v(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00661613 to 4 decimal places.\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.5, -1\/5, 0.81?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -942000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 714\/(-28) + 2\/(-4)*-1. Which is smaller: -23 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 28498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*y = -110*y - 1355*y + 3290. Determine t, given that 9\/2*t - t**y - 1\/2*t**3 + 9 = 0.\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -339, -308, -261, -192, -95, 36, 207?\n\"Answer: u**3 + 2*u**2 + 18*u - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6964 + 6630.9. Let v = -333 - f. Let d be (-5)\/(20\/(-8)) - -3. Which is the nearest to -1\/3? (a) v (b) 1\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**2 - 3*r. Let g(h) = -6*h**2 - 4*h. Let t(n) = 3*g(n) - 4*v(n). Let j(u) = 18*u**2. Give t(j(m)).\nAnswer: 648*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**5\/180 + 3*x**4\/4 + 81*x**3\/2 - 101*x**2. Factor a(g).\nAnswer: (g + 27)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -442 + 449. Suppose c + 4*l = b*l + 33, -5*c = l - 85. Solve -19*h = -c*h + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 404*q**2 + 92*q + 21. Let f(r) = 404*r**2 + 93*r + 18. Let g(y) = 7*f(y) - 6*n(y). What is the second derivative of g(h) wrt h?\nAnswer: 808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 - 48 + 30 - 9*k - 66.\nAnswer: 2*k**2 - 9*k - 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 12 = 4*t, 0 = -2*w - 6*t + 5*t - 3. Let c = 4 - w. Suppose 2*o - c = -8. Sort o, 1, -9 in increasing order.\nAnswer: -9, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**5 + 8*y**4 - 5*y**3 - 15*y**2 - 5. Let x(h) = -3*h**5 - 12*h**4 + 8*h**3 + 24*h**2 + 8. Let j(k) = 8*c(k) + 5*x(k). Suppose j(r) = 0. What is r?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7742 and 7315084.\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(153)*1)\/(sqrt(9) + sqrt(576)*1) - (1*sqrt(17) + -1 - (sqrt(17) - -2*-3*sqrt(17) - sqrt(17))**2).\nAnswer: -14*sqrt(17)\/9 + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3019285*t - 2661710 wrt t?\nAnswer: -3019285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18669 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16603 + -8987. Is 34 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akhk when four letters picked without replacement from {h: 1, k: 2, v: 4, t: 2, a: 3}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (737*x + 62 - 62)*(4*x**4 - 20*x**4 - 5*x**4).\nAnswer: -15477*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101011 (base 2) to base 9.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxppxpppppxppxp. Give prob of picking 2 x and 2 p.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -21 (b) -2.7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eerprjjxprrrrpje. Give prob of picking 1 x and 1 r.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -36 + 4 - -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 5.77703.\nAnswer: 1.155406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 5.1. Let m = j - -11. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/19)*r)\/(r*r**(5\/4))*r**(2\/7)\/(r*r**5\/r))**(2\/5) assuming r is positive.\nAnswer: r**(-2613\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*z = 112 + 76. Solve 4*c = 12, f + 25 = z*c + 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -405446177 to the nearest 100000.\nAnswer: -405400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -0.6. Let m = -3.9 - 23.1. Let y = m - -27.2. Which is the second smallest value? (a) -1\/2 (b) -5 (c) j (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 23*q**3 - 2*q**2 + q - 4. What is the hundreds digit of a(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**4\/5 + 32*o**3\/5 + 288*o**2\/5 + 128*o + 448\/5.\nAnswer: -4*(o - 14)*(o + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.031 at least -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6570.60067 rounded to the nearest one hundred?\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2677, -2490, -2169, -1708, -1101, -342, 575, 1656?\nAnswer: 2907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6504651290?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 89500 rounded to the nearest 1000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -450*q**3 - 6*q**2 - 1908*q + 2. Let r(u) = u**3 + u**2 + u - 1. Let o(l) = a(l) + 4*r(l). What is the second derivative of o(x) wrt x?\nAnswer: -2676*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 217846365?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (175\/50)\/(1\/(-2)*1). Let f be 12\/(-6) - 12\/k - 0. Do 6.1 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (3 - -1) + -43 + 135 - 11?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -440 + 0?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(2 + -1) - (21 - 54). Suppose 0 = -5*d + n + 55, 4*d - 11 = -3*n + p. Solve q + 3*y = 0, -7*q + 2*q - 4*y + d = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (0 - (4 - 2)). Let g be (2*3\/(-6))\/(-1). Do o and g have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.15 - -10. Is -1 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 408, 803, 1198, 1593?\nAnswer: 1988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*v = -4*g + 42*v + 17, v = -1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1604438446.\nAnswer: 2, 13, 43, 1435097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**3 - 80*d**2 - 244*d + 1560 = 0.\nAnswer: -13, -10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-23)\/u)\/(u*(u\/((u*u*u**21*u*u)\/u))\/u))**(-7\/6) assuming u is positive.\nAnswer: u**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.6 (c) -58\/5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -15, -3 = -2*i + 4*i - a. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 212 + -4651\/22. Calculate the common denominator of -67\/24 and g.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2431 and 221?\nAnswer: 2431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 32 = -13*x. Solve -4 = -2*h - 3*m, -2*m + 3 = -h + x*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -7*k**6\/5 + 3*k**5\/20 + 27*k**3\/2 - 310*k. Find the second derivative of n(d) wrt d.\nAnswer: -504*d**2 + 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 1.8. Let m = 102 + -1324\/13. Which is the smallest value? (a) m (b) -3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -4. Let k(c) = 3*c**2 - 4*c - 1. Let l be k(3). Suppose -5*o = 4*s - 0*o - 54, t = s + o - l. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0.2. Let r(m) = -2*m**2 - 5*m - 1. Suppose -b = -w + 5, 2*b + 17 = -2*b + 3*w. Let j be r(b). Put y, j, 0.2 in descending order.\nAnswer: j, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k - 23*k - 2 = 4*s, 5*k = -s + 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**4 + 0*o**4 + 27*o**4 + 2 - 2*o**4 - 2 + (-2 + 2 + o**3)*(2*o - 2*o + o) - 3*o**4 - 3*o**2 + 3*o**2.\nAnswer: 27*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -250631 (base 7) in base 10?\nAnswer: -45935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2501\/135 bigger than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 1 + t**2 - 1. Let m(d) be the first derivative of 2*d**3\/3 + 4. What is x(m(z))?\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29768 and 41403567?\nAnswer: 3721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -10, 0 = -3*n + 2*v - v + 5. Solve n = t + 5, 3*l = -3*t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 4852501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17823 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 23*z**2 - 2*z - 31. Let p = -5 + 7. Let v be (-400)\/16 + 3 + p\/(-2). What is the lowest common multiple of y(v) and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 6953933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times 4\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqbzqbbzq. What is prob of sequence bqb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474 is divided by 163?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11525 + 5739 - 472*w + 5786.\nAnswer: -472*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.8 + 12.4. Let l = 11.89 + -12. Let t be (-2 - (-21)\/12)\/(14\/(-32)). What is the third smallest value in l, t, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2) - (-7)\/(-2). Put q, 3, 4 in descending order.\nAnswer: 4, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**5 - x**5 + 7*x**5 + (-2*x**4 + 3*x**2 - 3*x**2)*(-x + 5 - 5) + (9*x**4 + 26*x**4 - 14*x**4)*(-2*x + x + 3*x).\nAnswer: 50*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -5. Let l be 4\/(-10) + 342\/30. Calculate the greatest common divisor of l and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 830 by -415.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 235554960?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/421825 and -77\/337460.\nAnswer: 1687300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a + 5*a**3)*(1 + 1 + 3) - 1 - a**3 + 1.\nAnswer: 24*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 33 = 3*d, 3*d - 2*g + 35 - 59 = 0. Let w(q) = -q**2 + 5*q - 7. Determine w(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -2\/5, 3.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 8*t + 210. Let y be ((-132)\/t)\/((-2)\/10). Let v = y - -19. Sort v, -10, 0 in descending order.\nAnswer: 0, v, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 16 + 5 = -4*r, -f + 5*r = 19. Let m be 155 + (-4 - (f + -3)). Suppose l - m = -3*b - 41, 4*l + 84 = 2*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-7 + (1 - -4)). Solve -m = -2*o - 3, 10 = m + 5*o - z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/3 - 61*j**3\/3 + 119*j**2\/3 - 59*j\/3.\nAnswer: j*(j - 59)*(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1447806 from 0.0489961.\nAnswer: -1447805.9510039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 7. Let t = -31.2 - -370.2. Let y = t + -339.2. What is the nearest to -1\/6 in -0.5, y, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(286)*6 + sqrt(286))\/(sqrt(11) + (1*sqrt(88))\/sqrt(8) - sqrt(11)))\/(-5*sqrt(18)*1 + sqrt(882)*-2).\nAnswer: -13*sqrt(13)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13c9 (base 15) to base 6.\nAnswer: 31343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11305075 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*n + 13649 = 0, 353 = -4*t + 4*n + 13997. What are the prime factors of t?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/112 in -0.4, -3\/4, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8)*(-40)\/115?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w - 3*f = -14, 3*f - 3 = 0. Suppose -5*d + 131 = -309. Let h = -82 + d. What is the remainder when w is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 8*n - 28. Let h be a(4). Solve -h*d - 22 = -2*m, 2*d - 4*m = 5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252249036 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.0613 (b) 1 (c) -0.06 (d) 0.5 (e) 7 (f) -2 (g) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 856872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 20 = h - 0*h, 2*h - 4*t = 28. Let f = -24 - -27. Suppose -v = -f*v - h, -4*d = 5*v - 2328. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12258.3 - -12259. Which is the second biggest value? (a) -0.1 (b) -7\/41 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*y - 3. Suppose -y*t + 2 = -t. Solve 5*m - 5*w + 15 = 0, 5*m + 3*w - 25 = -t*w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 209831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29947 + 46756. List the prime factors of t.\nAnswer: 3, 13, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -3\/7 (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1167749 divided by 1167749.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-5) - (-74)\/10. Suppose -f + 8 = 4*f - 3*k, -9 = -4*f + 5*k. Let x = v - f. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922359 is divided by 230506?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 20, 2*p - 3*p + 94 = h. Let c = -10 + h. Suppose c = 5*y + 3*r, -y + 3*r + 63 = 2*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-168)\/21*(-33)\/((-10692)\/459)\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 1001044073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ptppptptlppplt.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -14971 greater than or equal to -14952?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 149.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 477.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2791194, -2791212, -2791252, -2791320, -2791422, -2791564?\nAnswer: -2791752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d. Let x(c) = -c**2 + 8*c + 1. Let t be x(8). Let u be y(t). Let v(q) = -3*q**3 + q - 1. What is v(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -525*d**3 - 13 - 8*d**2 - 186*d**3 - 2*d**2 + 28*d. Let b be u(-13). What is b rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 10 = -2*w, 21833*w - 32 = 21838*w + 3*l - 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, 0.4, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7220741 and 1045?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 2:10 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-824)\/(-1236))\/(2*-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 + 21*g - 41. Let m be w(7). What is the remainder when (m + -46)\/(1 + -3) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/7 - (-16)\/(-210)) + (-152383)\/(-1155).\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 - 3*p**4 + 4*p**4 + (-2*p**2 + 3*p**2 + 8*p**2)*(69*p**2 + 107*p**2 - 146*p**2).\nAnswer: 271*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*p - 31, 6*p + 5*c = 3*p + 48. Suppose 8*y - v = p*y - 15, -5*v + 19 = y. Is (-6)\/y*176\/(-24) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.02, -0.16, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/9, 0.3 in decreasing order.\nAnswer: 4, 0.3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 25*x - 146. Let b be i(6). Solve 36*n + 4 = b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1712304\/53 or 32308?\nAnswer: 32308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4340 is divided by 63?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -11\/16, -3, -8, -1.\nAnswer: -8, -3, -1, -11\/16, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2744 is divided by 914.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -381087497*k**2 - 769975057 wrt k?\nAnswer: -762174994*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11 - -0.19. Suppose -1 = 4*c + 11. What is the nearest to c in l, -1\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55580423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 10*k**2 - 14*k**3 - 82916076*k + 1 + 82916091*k as y*k + i*k**3 + z*k**2 + x and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1687*q - 1679*q = 4*l + 24 - 0, 4*q + 2*l = 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9\/8*w**3 + 1\/4*w + 5\/8*w**4 + 7\/8*w**2 + 1\/8*w**5 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (66\/(-15))\/((-1)\/270). Let x be 12\/(-20) + (g\/(-10))\/(-3). Find the second derivative of -13*b**2 + 45*b - 6*b**2 - x*b wrt b.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + (-5*-2*2*sqrt(405) - (-1 + (sqrt(405) - sqrt(405)*-2 - sqrt(405)) + -2 + sqrt(405)*-2)))**2.\nAnswer: -1080*sqrt(5) + 162009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 404208 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 19*l. Suppose -610*u + 1008*u = 796. Let t(i) = 4*i. Let z = -15 + 4. Determine u*j(k) + z*t(k).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f - 8. Let t(j) = 27*j + 41. What is -22*s(w) - 4*t(w)?\nAnswer: 2*w + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -4)*(-10)\/5. Suppose 32 = 3*o - n*w - 0, -2*o - 5*w = 17. What is the smallest common multiple of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 7:34 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u**3 - 101*u**2 + 55*u - 258. Calculate z(-26).\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 89538*j**2. Let q(g) = 116*g**2. What is q(u(x))?\nAnswer: 929978199504*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 236.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**4\/12 - 13*k**3\/6 - k**2. List the prime factors of r(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 6) + -1 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -30*k - 8. Determine q(-2).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*x**2\/7 - 45*x - 459\/7 = 0. Calculate x.\nAnswer: -51\/52, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f = -5*q - 6, -2*f + 14 = -3*q. Suppose 5*w + 3*v = -0*v + 192, 3*w + f*v - 124 = 0. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/12, -0.2, 0.4, 3, 0.22, 4?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, y: 1, g: 1, u: 1, l: 2}. What is prob of sequence yx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - n + 0*n)*(-7 + 3 - 3).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 261042, 1044183, 2349418, 4176747, 6526170?\nAnswer: 9397687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -40*r. Let s(m) = 2*m**2 + 16680. What is s(c(w))?\nAnswer: 3200*w**2 + 16680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 0)*(1 - 1 + 2*x) - 2*x + 5*x + x to the form o*x + l and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 12*n + 13*n + 14, -38 = -5*t + 12*n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -43. Let i = y - -20. Let a be (6\/(-3) - -1) + i. Solve a = 5*b + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h - 2077 + 726 + 23*h + 626 + 725.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56505998 and 2722.\nAnswer: 2722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2363693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*(sqrt(825)*5 - sqrt(825)))\/((sqrt(900)*2)\/sqrt(3)).\nAnswer: -3*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 111054*-877\nAnswer: -97394358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**5\/5 - 51333*h**4\/5 - 1031490*h**3 - 20153370*h**2 + 284026875*h - 780949125 = 0.\nAnswer: -55, 5, 17211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*q + 40*q - 70. Calculate the remainder when q is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2640 or -0.026?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 12:29 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 118\/2 - ((-30)\/(-5) - 7). Suppose -92 = -4*m - x. Calculate the remainder when 1 + -3 + 2 + 53 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-9))\/(20\/(-225)*5*24).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-351)\/156*20\/105?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51811 + -30939. Suppose -2*v - m = -10*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -3 - (-17 - -2 - (-685 + 672))) + -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 380262 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2088493, 4176992, 6265493, 8353996?\n\"Answer: u**2 + 2088496*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2356b - 46?\nAnswer: 23525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64228.\nAnswer: 2, 16057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107643, -215285, -322927?\nAnswer: -430569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-41\/5)\/v**24*v\/(v*v*(v\/v**7)\/v*v)*v\/v**(-27))**(-4\/21) assuming v is positive.\nAnswer: v**(-16\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-330)\/(-19140))\/(((-4)\/(-1))\/(-32))?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1838.32 less than 0.31?\nAnswer: -1838.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112044 divided by 74.\nAnswer: 56022\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 20156 = 6604. Round o to the nearest one hundred.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/17 = 1\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5040097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3923?\nAnswer: 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/758 and -21\/41.\nAnswer: 31078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a day in minutes?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -613*w + 4725*w**2 + 2744*w**2 + 613*w.\nAnswer: 7469*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453634?\nAnswer: 2, 226817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*g + 1436, g - 329 - 389 = 2*n. What are the prime factors of g?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 38 (c) -17 (d) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -6 + 18. Factor -j**5 + 3 - d*j**4 + 3 + 3*j + 2*j**2 - 2*j**3 - 5.\nAnswer: -(j - 1)*(j + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 577740 divided by 4?\nAnswer: 144435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 12658?\nAnswer: 139238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**3\/3 - 4*y**2 + y + 251. Determine x(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.2507 to 1 decimal place.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5156 - 15466\/3. Let x = 2 + -2. Let u = 0 - x. Do p and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43.5 - 1.5. Let h = o + 24. Let v = -66 + h. Do 1\/9 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.4906411 - 6.49. What is l rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 13196 = -0*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 2*w - 86. Calculate the remainder when w is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 d when two letters picked without replacement from kdsksdsskds.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 11. Differentiate 13 - 9*a**o + a**3 - 7 - 3*a**3 wrt a.\nAnswer: -33*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5\/1 - 2 - (-1920)\/20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 + 17394.\nAnswer: 17402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.95 - 9.95. Which is bigger: v or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 121343460 + 2?\nAnswer: 121343462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/26 and -29\/1027?\nAnswer: 2054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1760731\/530618 - -2\/24119. Let v be 2\/1 + (-3436)\/1722. Let b = -6115\/18942 + v. Find the common denominator of b and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 + 24. Is n bigger than 108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64\/3*o**2 + 2\/3*o**4 + 76\/3*o + 20\/3*o**3 + 10 = 0. Calculate o.\nAnswer: -5, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wpwwgvvvvwjw. What is prob of sequence vj?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.541 + 0.159. What is the biggest value in 1, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 999.6 + -997. Which is the third smallest value? (a) -0.08 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by 61.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16\/5 (b) 2\/3 (c) 26.623 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -12*t**4\/5 - 3976*t**3\/5 + 2732*t**2\/5 + 25256*t\/5 + 7968\/5 = 0.\nAnswer: -332, -2, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 294 = -6*r. Suppose b + 36 = r. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -1. Suppose 0 = -8*u - 64 + 112. Solve -5*t - 4*h + 3 = 0, 3*t - 2*h - u = -v*h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 430 divide 72240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c + 5 = 0. Suppose 0 = 2*o + c + 1. What is the third biggest value in o, -0.4, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 3*y = -13, -8*a - 9 = -5*a + y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 255*d**2 + 4. Let h(i) = 26277*i**2. What is g(h(w))?\nAnswer: 176072585895*w**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282, 281, 280?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38\/107, -0.08, 1\/12.\nAnswer: -38\/107, -0.08, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -10*t + 10. Let d(f) = -613*f + 1. Determine k(d(l)).\nAnswer: 6130*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h + 26. Let g = -7 - -13. Let d be v(g). Put 3, d, -1, 1 in ascending order.\nAnswer: -1, 1, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106932603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 210*c - 6656. Let t be j(48). Which is bigger: 3420 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.347817492 - -9.23\nAnswer: 12.577817492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0 = 5*f + 4, 0 = -5*f - 3*i - 19. Let g = 3.4 - -0.6. Which is the second smallest value? (a) -3 (b) f (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 1695726 + 15044274. Suppose 0*k = -3*k - b. Round k to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6317.1 + 6317. What is the closest to c in 5, 84, 0.03, 0.5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204 (base 8) to base 3.\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, h: 1, c: 2, x: 1}. What is prob of picking 2 c?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f**3 + 120*f - 120*f + (0*f + 0*f + 2*f)*(f**2 - 4 + 4).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -64683.\nAnswer: -2\/64683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o - 2. Let k(i) = 14*i - 7. Let s(t) = 2*k(t) - 7*v(t). Suppose -2*l = 4*q + 10, 5*q - 4 = -2*l + 5*l. What is the units digit of s(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a meter in millimeters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2500 = 4*q - 4*k, 0 = 8*q - 12*q + k + 2503. List the prime factors of q.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 206*d**3 - 55*d**3 + 2*d**4 - 77*d**3 - 47*d**3 + 2*d - 3 in the form o*d**2 + m + p*d + b*d**4 + t*d**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1160 is divided by 196?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 12. Let i be k(0). Is 2 a factor of -3 + 6\/9*i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 933463.89 rounded to the nearest ten thousand?\nAnswer: 930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = 10*b + 480. Suppose b + 150 = 6*p. Calculate the highest common divisor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179712751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 24, 8, 2 in decreasing order.\nAnswer: 24, 8, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64.873 - 0.127. Let p = -45 - t. Let a = p + -19.9. Which is bigger: a or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72\/30*(-40)\/12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 9*m**3 - 3*m**3 + 19.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -45*n**2 + 125*n - 50. Let k(t) = -2*t**2 + 5*t - 2. Let u(d) = -b(d) + 25*k(d). Let c(a) = 3*a - 11. What is c(u(v))?\nAnswer: -15*v**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 469 - 275. Let p = -183 + y. Calculate the remainder when p is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - 33202*t - 132840.\nAnswer: 2*(t - 16605)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 226.1 + -226.5. Which is the smallest value? (a) -852 (b) i (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 5*g - 3. Suppose -16 + 1 = 5*s. Let m be v(s). Is (2\/m)\/(4\/42) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 185, 196, 115, -88?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -996*i - 996*i - 992*i + 4968*i - 992*i - 993*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000084049412 rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -547048 from 0.\nAnswer: 547048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s - 7*s + 1 - s. Let v(h) = -1. Let z(k) = 3*v(k) - y(k). Give z(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sasbaol. What is prob of picking 1 o and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 0 - (-5 - -3). Suppose 5*u - 4*t = 20, d = 3*t - 17 + 2. Let b(l) = 3*l**2 - 8 - u + 16. Let s(j) = 6*j**2. Determine s(b(p)).\nAnswer: 54*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 5*-2*((-18)\/3)\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 1\/4, -32, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 17*k - 16. Let u(i) = -31*i + 32. Let l(t) = 11*p(t) + 6*u(t). Give l(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 - 219\/4. Sort 0, 3, l in descending order.\nAnswer: 3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25209296081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**5\/4 + 9*i**4\/4 - 5*i**3\/4 - 29*i**2\/4 + 21*i\/2 - 4 = 0. What is i?\nAnswer: -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1927375.\nAnswer: 5, 17, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1341675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/385 and 1792 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 641*y - 3629*y = 553*y + 28779 + 13713 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -526 - -525.945. What is the second smallest value in 2, 1\/3, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/507 and -17\/5?\nAnswer: 2535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1041646555 - 0?\nAnswer: 1041646555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -24.6. Let d = -3.4 - y. Which is the nearest to -0.1? (a) d (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -432?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 (base 14) in base 7?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2059924139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/9 and 61\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(12\/(-8)*12\/(-27)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one quarters of a meter?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1207197395 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -43983*t. Let r(n) = -2*n**2. Give k(r(x)).\nAnswer: 87966*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, -2.03, -611, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12865 = -1123823*c + 1124238*c for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 15 - 6)*(-8*j**2 + 7*j**2 + 9*j**2).\nAnswer: 152*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(143)*-1*-6 + sqrt(143) + sqrt(143)*-2*-5 + sqrt(143)))\/(((sqrt(66)*2)\/sqrt(6) + sqrt(704)*1)*4).\nAnswer: 27*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/3099 + 17119\/914205. Is f >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2299))*-5 + 5*(0 + sqrt(19) + 0)**2 + 2.\nAnswer: -55*sqrt(19) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/4 - 9\/12. Let p be (-23 + 4)\/(m\/(-42)). Suppose 154 = 3*c - 2*z + 3*z, p = 5*c + 4*z. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -6. Let w(u) = -u**3 + 22*u**2 + 20*u + 72. Let i be w(23). Which is the smallest value? (a) 0.5 (b) i (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 divided by 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s**2 + s + 7*s**2 - 3*s + 2*s**2)*(41 - 33*s - 41) in the form r + a*s + q*s**2 + h*s**3 and give q.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7410621 and 386?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - 7)\/((-2)\/(-2)). Let b be (-9 - 1)*(k + -7). Suppose 7*d + c - 52 = 2*d, 5*d - 5*c = b. What is the smallest common multiple of 8 and d?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 193420559 and 33.\nAnswer: 193420592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 58*l - 293. Calculate f(51).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**17)\/u**(-42)*(u\/(u**17*u)*u)**(-40) assuming u is positive.\nAnswer: u**700","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20607227243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q = 200. Let u = 83 - 109. Calculate the common denominator of q and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 + 2 + 18 + 0 + 4 + -5. Suppose 3*h - 4*i = 6*h - 344, -i + 437 = 4*h. Calculate the greatest common divisor of o and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/3)\/t*((t*t**(-3)*t)\/t*t)\/t)**(2\/145) assuming t is positive.\nAnswer: t**(-26\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, -0.5, 0.292, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*k + 12*k + 165. Let t be (-6)\/33 - (373860\/33)\/k. Round t to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 3:53 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11003.\nAnswer: 11003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 78074000 to the nearest one hundred thousand.\nAnswer: 78100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 116\/57 - -4039\/228. Calculate the common denominator of d and -69\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1090.214 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3 = -v, 5*v - 7*t + 8*t - 4 = 0. Solve 3*f = -v + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54984 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*j**3 - 1\/6 - 3\/2*j**2 - j.\nAnswer: -(j + 1)**2*(4*j + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*sqrt(117).\nAnswer: -1 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 144 + 331310?\nAnswer: 332004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(9\/33)*1. Find the third derivative of 417 - 6*x**2 - 417 + o*x**6 wrt x.\nAnswer: 1320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 23*x + 56. Let y be v(13). Let m = 147 + y. List the prime factors of m.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/3)\/(g\/(g**(-1\/2)*g)))\/(g*g**(-5)*g**(-2\/7)\/g))**32 assuming g is positive.\nAnswer: g**(3440\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100812389?\nAnswer: 167, 603667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 0 + 3 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*q - 1575 = 38*q + 67*q for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, p: 3, y: 9, h: 2}. Give prob of picking 2 p and 1 h.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -1\/8 (c) 4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7895, -15086, -21585, -27392?\nAnswer: -32507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25846808*p**3 - 349166*p**2 - 35*p - 1 wrt p.\nAnswer: -155080848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hgsghssg. What is prob of sequence gghh?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = h + 13, h - 4*h = f - 5. Let z be (f\/(-3))\/((-128)\/(-1056)). Solve -k - 4*n + z = 0, -n + 11 = 3*k - 0*n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.16 (b) -3 (c) 1 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/611236 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8534200*x**4 - 8*x + 188514?\nAnswer: -102410400*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*v = -30*v - 24. Solve 8*c = 4*c + p - 16, c - v*p + 19 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793538731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -50 - 13. Calculate the remainder when z is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 58 + 53 = 0. Suppose -l*c = -3*g + 79 - 17, -3*c = g - 16. What is the first derivative of 4 + 5*p + 3*p + g + p wrt p?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*u**4 + 3*u**3 + 3882*u**2 + 2*u - 436445 wrt u?\nAnswer: -8*u**3 + 9*u**2 + 7764*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 1802 = 6*u + 1256, v + 762 = u. Let b = 908 + -2017. Let a = v - b. What is the smallest common multiple of a and 8?\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -0.1094, 2, 0, -33?\nAnswer: -0.1094","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 316.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zlxqyylzxlmx. What is prob of sequence zyx?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 83604274 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**5\/120 + 61*z**4\/72 + 5*z**3\/3 - 623*z + 1. Find v such that u(v) = 0.\nAnswer: -60, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 13. Suppose y*f + 525 = 14*f. Suppose 3*k + 3*h = 105, 0*k - 4*k + 3*h = -f. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6548970?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**2*n**2*u + 2*h**2*n**2 - 712496*h**2*n*u**2 + 2*h**2*n - 21*h*n**2*u**2 + 9*h*n**2*u + 8*h*n*u - 40*h*n + 145*u wrt u?\nAnswer: -1424992*h**2*n - 42*h*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -131a + 0?\nAnswer: -131a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -143600000 to the nearest one million.\nAnswer: -144000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22770.4 + -22770.399785118. Round c to six decimal places.\nAnswer: 0.000215","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (5 - 5 - 56) - (96 + -87).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(2\/12)*(-28)\/(-42)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 16. Let z be k(-7). Let u be 2\/z - (-56)\/9. Solve u = -2*f - 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*x - 897422982988*x**3 - 19*x + 897422982987*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 1556*r + 1561*r - 124 = 0, -3 = 6*n + 29*r + 284 for n.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njnnjnn. Give prob of sequence nnnj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18947711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647276091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u + 5. Suppose 8*m - 2 = 7*m. Let k(c) = 2*c**2 - 3*c. Let o be k(m). Suppose o*t - 2 - 6 = 0. Give g(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**2 + 8*q + 14. Let z(o) = 3*o**2 + 7*o + 15. Determine -5*d(r) + 6*z(r).\nAnswer: -2*r**2 + 2*r + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2348*l - 194682. Give g(83).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -60*n**2 - 2*n + 3. Let u(b) = 9*b**2 + 1. What is -k(l) - 7*u(l)?\nAnswer: -3*l**2 + 2*l - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27776300 is divided by 1207665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 + 12*t - t**2 - 9*t to the form j*t**2 + i*t + p and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53\/(-3)*-1*15\/5 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*l = 259 - 215, 2*l = -d + 20. What is the remainder when 490 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n - 1. Calculate u(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*v + 5*v - v)*(-5*v**2 + v**2 - 3*v**2).\nAnswer: -112*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*w + 144108 = u, -3*u + 108083 = -2*w. Suppose 0 = -4*l + 5*v - 178380, -2*l = -4*v - u + 125213. Round l to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 + (-8 - -26)*(-1)\/12*-4 and 378.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 11 + 29. Let x be (t\/(-4))\/((-5)\/10). Let v(z) = z**2 - 5*z + 3. Determine v(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 883111?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, y: 1, o: 1, e: 1, c: 1}. Give prob of picking 1 t and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1751, 3539, 5327, 7115?\n\"Answer: 1788*z - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6 + (-112)\/(-24). Let h(l) = -167*l - 1667. Let p be h(-10). Solve -i*s - p = 22 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*v + 420*v = -5*f + 837*v - 415, 0 = -f - 16*v - 1388 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + (sqrt(117) - 3*(sqrt(117) - sqrt(117)*2)) - sqrt(117))\/(sqrt(1296) - sqrt(1296)*2).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8822*x - 3*x**3 - 8822*x + 0*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3778029 and 238.98981?\nAnswer: 3778267.98981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 563915.3cm?\nAnswer: 5639153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 4 (b) 4\/3 (c) 0.5 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 9*f**2 + 2*f - 2. Suppose 4*w - 5*d = -56, 0 = 3*d - 9 - 3. What is j(w)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*r + 3326527 + 32514367 = -5720910. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 21*k + 1. Let q(m) = -52*m - 2. Give 12*b(l) + 5*q(l).\nAnswer: -8*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 84927, 169861, 254795, 339729, 424663?\n\"Answer: 84934*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21712*k**3*l**2 + 10193*k**3 + 9*k*l wrt l?\nAnswer: -43424*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 31)\/((-87 + 2)\/17). Factor 24\/5*a**2 - f*a**4 + 0 - 12\/5*a + 9\/5*a**3.\nAnswer: -3*a*(a + 1)*(3*a - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7\/12 + 1\/12. Which is the smallest value? (a) -0.4 (b) o (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39153 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-13038)\/(-795))\/((-14)\/35)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -419 + 422. Solve -2*c - 4 = -x*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11195.21098 rounded to the nearest 100?\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -17858670 divided by -1083?\nAnswer: 16490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*f + 5*f + 42*f)*(-f**2 - f**2 - f**2)*(0 - 1 + 0) to the form p + w*f + l*f**2 + h*f**3 and give h.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 121 + 0\/(9\/3). Suppose 2*z + a - 3 = 0, -4*z - z - 2*a = -7. Let r be (1 - z)\/2 + 11. Calculate the greatest common divisor of r and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9.085114um?\nAnswer: 9085.114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26 and -29\/187768.\nAnswer: 187768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -926*y**4 - 2*y**3 + 553*y**2 + 68*y + 85740.\nAnswer: -11112*y**2 - 12*y + 1106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 13*p - 2. Is c(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + i + 78 - 60)*((6*i - 20 + 20)*(-1 - 1 + 3) + 3 + i - 3)*(0*i + i - 3*i) as m*i + t*i**3 + h + l*i**2 and give l.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6.177, -5, 0.5, -1, 4?\nAnswer: 6.177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 201, 4, 5, 23, -2, -12 in ascending order.\nAnswer: -12, -2, 4, 5, 23, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 357041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 y, and 2 l when four letters picked without replacement from tyxxyyqylytyytttltt?\nAnswer: 49\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 11*r**2 - 5*r + 17. Let q be (6 - 2) + (-7 - -10). What is the units digit of i(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 29*z**2 + z + 1. Suppose -2*n + 20 = 5*l, -2*l + 5*l = 3*n - 9. Suppose 5*q + 8 = 3*j, 0 = -n*q - 4*j - j. What is u(q)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2352348 to the power of 1\/2, to the nearest integer?\nAnswer: 1534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**3 + 7*r**2 - 7*r - 6. Let z = 1449 - 1445. Let p(c) = 2*c**3 - 4*c**2 + 4*c + 3. Calculate z*k(f) + 7*p(f).\nAnswer: -2*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 0*z**5 + 7\/2*z**2 + 29\/6*z**6 + 13 + 0*z + 0*z**4 + 0*z**3. Find the second derivative of x(c) wrt c.\nAnswer: 580*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 2*d - 1. Let f be q(2). Let j be 3\/(-9) + f\/(-3). Solve j = 2*i - 3 - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -a + 5*t, 2*t + 5 - 1 = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -7982594.\nAnswer: 5\/7982594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.6194l to millilitres.\nAnswer: 50619.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53196\/397 - (-6118 - -6252)?\nAnswer: -2\/397","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0081971431 - 0.043?\nAnswer: -0.0511971431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287*t**3 + 4 - 4 - 271*t**3.\nAnswer: -558*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -449 - -655. What are the prime factors of f?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1674415*m**3*s**2 + 417*m**3 - 2965*m**2*s**2 + 45143*m*s**2 wrt m.\nAnswer: 10046490*s**2 + 2502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1908020702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 5*u - 3*l - 130485, 4*u - 104388 = 2*l. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 6*j**2 + 2*j. Let d be v(-6). Let w be (-76)\/(-19)*3\/(-4). What is the units digit of w\/d + (-201)\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 462 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -38. Suppose -3*z - l + 74 + 47 = 0, 3*z + 3*l = 117. What is the first derivative of 7 + 14*r**p + 41*r - z*r - 24 wrt r?\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.2, 0.75, -5 in descending order.\nAnswer: 2, 0.75, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w + 4*p - 8, w = -4*p. Suppose 3*s + 13 = w. Let h be (-1 - 0) + (-5)\/(-3). Which is the smallest value? (a) 1\/8 (b) h (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -153 (base 9) to base 8.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 252913196 and 252913195 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 0*q = -245. Does 35 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1195154.\nAnswer: 2, 597577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5894849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/6*448\/168?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/510 and 29\/918.\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(3 - 5 + 1)*(1 - 2 + 2)*(1 - 5 + 3)*(52*o - 50*o + 86 - 16).\nAnswer: -4*o - 140","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -2521.\nAnswer: 5042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**3 - 3*o**2 - 18*o - 48. Let t be r(-4). Let u be (3 - 69\/24) + 507\/t. Solve -4*m = -g - 5, -24 = -5*g - 2*m - u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z + 5. Let n(t) = -t**3 - 14*t**2 - 13*t. Let v be n(-13). Let o be d(v). Suppose o*w - 66 = 4. What is the remainder when 39 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1492 and 3.\nAnswer: 4476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 58.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -13*q + 557. Let z be i(34). What is the highest common divisor of z and 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 656 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 69, -4, -0.4, -14, -2\/7, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -20\/7 (b) 6.9 (c) 4 (d) -9 (e) -5 (f) 0.08 (g) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqqqqff. What is prob of picking 3 f and 1 q?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25129*b**3 - 8*b - 10*b + 25134*b**3 to j*b + o*b**3 + p + h*b**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(10\/3)\/z)\/(z\/(z**6*z)))\/((z*z**(-2\/19))\/z**(-1\/5)) assuming z is positive.\nAnswer: z**(2063\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 58.0676.\nAnswer: 290.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 176*u**2 + 45*u**2 - 152*u**2 in the form j + f*u**2 + o*u and give f.\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -1\/6*s**3 - 2\/75*s**6 + 0 + 1\/210*s**7 + 1\/25*s**5 + 10*s + 1\/5*s**2 + 1\/30*s**4. Factor f(t).\nAnswer: (t - 2)*(t - 1)**3*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/3)\/(17\/51). Let b = r - -28. Let s = b - -33. List the prime factors of s.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n - 4*n + 7*n. Let c be d(0). Suppose -4*p - 3*v + 18 - 6 = c, -p + 3 = -v. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from iblnsbwi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 18. Suppose 49 + 11 = 5*y. What is d(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1315150 or 0?\nAnswer: 1315150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 2:57 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/205889 - 13803203\/444720240. What is the common denominator of -11\/8 and u?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z - 4*z - 4*q + 142 = 0, -2*z + q = 32 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51341848.\nAnswer: 2, 6417731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 19 = -4*f. Let d = f - 11. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 162 - 95 = 5*o, h = 5*o - 51. Let r(k) = -16*k**3 - k - 1. Calculate the least common multiple of r(-1) and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 - 30. Suppose m*q - 31*q = -448. What is the greatest common factor of 16 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -16 - (2 - -2)) + (150 - 141).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(104) + -2*sqrt(104)*1)\/(sqrt(2048)\/sqrt(4) - sqrt(8)).\nAnswer: -sqrt(13)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m. Let p = -395 - -409. What is the lowest common multiple of p and k(-2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25\/10 + -3 + 110\/4. Suppose -h - d = 8*h. Is 8*h\/(-6) + 145 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005469 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*b = 4689, -154*b = 5*c - 158*b - 5860. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 112535, 224808, 337083, 449360, 561639, 673920?\n\"Answer: a**2 + 112270*a + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -y - 9. Suppose -4*l - y*q - 2*q = -49, -2 = -2*q. Solve 2*j + 6*o = 3*o + l, 0 = -3*j + 4*o + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5027*4.016.\nAnswer: 20188.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28287 and 14616?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-5))\/((-117)\/(-65)). What is the third smallest value in -2, a, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 10495597*m. Let o(i) = -2*i. Determine z(o(w)).\nAnswer: -20991194*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vff when three letters picked without replacement from {f: 2, v: 2, c: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 3*r**3 + 3*r**3)*(0*r - 3*r + 4*r) + 2*r**4 - 2*r**4 + r**4.\nAnswer: 5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f + 1193 - 1193. Let j(t) be the third derivative of 3*t**4 + 25*t**2. What is r(j(g))?\nAnswer: -144*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -690345 and 66.624.\nAnswer: -690278.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 116677.655+-1.3\nAnswer: 116676.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/4)*l**(-45)*l assuming l is positive.\nAnswer: l**(-179\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.82 - -20. Let i = 0.28 - j. What is the fourth smallest value in i, -1, -0.2, -7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -15\/8 (b) -3 (c) 173\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 61 (b) 5 (c) 40 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*l + 18 = -4*t, -4*l = -4*t - 44. Suppose 0 = 5*o + 5*y - 145, -o + 5*y + 37 = 8*y. What is the remainder when o is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -20*d. Let u(w) = -180*w. What is -28*q(f) + 3*u(f)?\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-5\/3)\/f*f)\/(f\/f**5))\/(f*f\/(f**1*f)*f*f*f)**(17\/3))\/(f*f**(-8)*f*f*f**(-9)\/f*f*((f**6*f*f)\/f*f)\/(f\/f**(-2\/7))) assuming f is positive.\nAnswer: f**(-155\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -653741, -2614925, -5883563, -10459655, -16343201, -23534201?\n\"Answer: -653727*c**2 - 3*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 12. Let o be i(-3). Let b(s) = 11 + 14 + 2*s + o - 40. What is b(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12593582733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 m, and 1 b when four letters picked without replacement from borbbogbbmobo?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.4364867 to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2. Let q be 1*-7*2*(-2)\/14. Let f(a) = 3*a - 10*a**q + 2*a**2 - 12*a + 13*a**2. What is w(f(r))?\nAnswer: -50*r**4 + 180*r**3 - 162*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 896870575.\nAnswer: 5, 5821, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 3*q + 3. Let s(m) = -4*m - 1. Let y be s(-1). Let b be o(y). Let 2*x**2 + b*x + 2*x - 7*x = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 13*m**2 + 421*m - 11. Let u be z(15). Put 0, -4, 1, -1, u in descending order.\nAnswer: u, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 895*2.108\nAnswer: 1886.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1*1880\/(-5) - -8) + -7. Calculate the highest common divisor of 65 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/3*(2\/(-6) - -1). Let r(y) = -y + 11. Let a be r(11). Suppose 3*t + n - 36 = a, 0 = 4*t - t - 5*n - 36. Solve i*b + t = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3460215901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 14*d**2 + 2*d**3 + 19 - 3*d + 2*d - 43 + 10 to b*d + k*d**2 + l*d**3 + i and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i - 8. Let s(w) = -w + 2. Suppose -2*k - k = 15. Let j be s(k). Calculate the remainder when 16 is divided by m(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5860423 millimeters in micrometers?\nAnswer: 586.0423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.11, 0.28, -1\/5, -7, 0.9?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156 and 1157?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -374*l**3*u - 9*l**2*u**3 - 32*u**3 - 5*u**2 - 11*u wrt l?\nAnswer: -1122*l**2*u - 18*l*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 270.0678kg to micrograms.\nAnswer: 270067800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 24*q - 24*q - 4 - 9*q**2 + 0.\nAnswer: -9*q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1129 is divided by 32655\/91 + (-106)\/(-689).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/47)\/x)\/(x*x**(2\/61))*(x\/x**(-9\/4))**(-4\/3) assuming x is positive.\nAnswer: x**(-54938\/8601)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*i**5 + 3268*i**4 + 436629*i**2.\nAnswer: 840*i**2 + 78432*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, n: 1, k: 1, e: 6, c: 3}. Give prob of sequence ebbn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, -2\/7, 1\/5, -0.23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2710012 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 12:08 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253 (base 6) to base 13.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*d + 171 = d + 474. Let k = -10 - -10. Let y = -1 + 6. Sort d, k, y.\nAnswer: k, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21910 + -11249. List the prime factors of s.\nAnswer: 7, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 68 = -11. Let h(k) = 3*k - 9. Let s be h(7). What is the remainder when b is divided by (11\/(-3))\/((-4)\/s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 26237928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -17530*u + 234266316 - 234266316 as y*u + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, y: 1, a: 1, c: 4, x: 4}. Give prob of sequence yxca.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 48581?\nAnswer: -97162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2830931, -5661470, -8492011, -11322554?\nAnswer: -14153099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109.2 + 109. Is -24 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/44 - 15341\/(-14113). Is a > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -350 - -1308. Let o = -33528\/35 + s. Is 0 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 420\/300*(-10)\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31504311 (base 7) to base 10.\nAnswer: -2673840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 200 + -154. Let a = 123 - b. Calculate the common denominator of -74\/9 and (45 + 0)*(-7)\/a.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80523604?\nAnswer: 2, 7, 29, 131, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-240)\/(-2))\/((-49672)\/(-18627)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 25 = 4*v, i + 3*v - 15 = 0. Let d = i + -1. Let g be (-2 - -7) + 1804\/(-363). Which is bigger: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 3. Let q = -5\/2 - n. Let y be (8\/(-15))\/((-4)\/10). Is q less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*w + 29*w - 225. Calculate the remainder when w is divided by 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.58 minus 123377.0332?\nAnswer: -123374.4532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*k - 99649 = -110*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46397782 to the nearest integer?\nAnswer: 6812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**8\/10080 - o**7\/840 - 13*o**5\/30 + 35*o**2. Let f(j) be the third derivative of a(j). Factor f(t).\nAnswer: -2*t*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 6*d - 2*d = -68, 2*g = 2*d - 14. Let j = g + 14. Solve 3*k + 4 + 3 = j*r, 3*r - k = 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9495.\nAnswer: 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4 - 2778*m**3 + 801050*m**2 - 5504214*m + 9378360 = 0.\nAnswer: -1635, 3, 4, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95727 - -95730. Let x be (-5)\/(-3)*(-3)\/(-1). Let z = -0.2 - 0.2. What is the nearest to 3 in t, x, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156.5651 grams to tonnes.\nAnswer: 0.0001565651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -2\/1356489 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.9307894 to 2 dps.\nAnswer: 29.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 146 = 5*x, -133 = -5*q - x + 35. Let l = q + -37. List the prime factors of ((-58)\/l)\/(6\/72).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 6*k**2 - 8*k - 4. Let z be w(6). Let i be 8\/(-20) - z\/5. Let x(j) = 3*j - 14. What is the remainder when 46 is divided by x(i)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h*i**4 - 27*h*i**2 - h*i + 2*h - 7*i wrt i?\nAnswer: 24*h*i**2 - 54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -173 + 161 + 0 + (1 - 66) + -3?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2016\/(-27))\/32*39\/(-91)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - c**2 + 4*c - 11. Let d be v(2). Let a = -16.5 + 16. Let l = 3 - 2. What is the nearest to d in l, a, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*s - 16935, -5*l = 2*s + 4120 + 2671. Let r = 5023 + s. Suppose -r = -4*q + 2180. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*h**2*k**4 - 90*h**2*k - 2*h*k**2 - k**4 + 207*k**3 + 4*k**2 - k wrt k.\nAnswer: -720*h**2*k - 24*k + 1242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4831 less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 2*p**2 - 5*p - 2. Let o be c(5). Let k be ((-4 - -7) + -3)\/(-2). What is the common denominator of 58\/15 and (k - -1) + o\/14?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 7) in base 10?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1198*c + 1182*c - 2280*c.\nAnswer: 100*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, 0, 11, 22?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f923 - 24?\nAnswer: f8ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven halves of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 4:48 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22 times -154\nAnswer: -3388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u**2 + 2 - 2 + 9*u**2 - 2. Let q be f(-3). Suppose z = -z + q. What is the remainder when z is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 6. Let j(t) = -t + 5. Determine -4*b(k) - 5*j(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46536\/75621)\/((-6)\/(-208)).\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3\/7 + 19344*l**2\/7 - 93528237*l\/7 - 187133858\/7 = 0 for l.\nAnswer: -2, 9673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**3 - 2*q**2. Let d(n) = n**3 + 23*n**2 - n - 27. Let v be (-69)\/(-6)*12\/(-6). Let u be d(v). Let t(f) = -f**3 + f**2. Give u*t(c) - 2*x(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -293*j**3 - 2000*j**2 - 3*j + 1998*j**2 + 3*j to the form i*j + p*j**2 + d + f*j**3 and give f.\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/28256 and 133\/1464.\nAnswer: 5170848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101 - -102. Let g(k) = -2*k + 1. Determine g(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310128 is divided by 12906?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + 0*y + y)*(3*y**3 - 5*y**3 - y**3) + y**4 - 2*y**3 + 2*y**3 to p*y + o*y**2 + q + c*y**3 + x*y**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 0 - 5)*(4 - 6 + 4) + 2 + 1 - 4)*(89 - 187 + 98 - 115*c) as o + h*c and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -1)\/(5 - 2). What is the third smallest value in i, -317, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**5\/600 + 11*d**4\/240 - d**3\/6 + d**2 - 5. Factor h(b).\nAnswer: -(b - 10)*(b - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1275 take away -135.315?\nAnswer: -1139.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.465349 plus 66462?\nAnswer: 66510.465349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 0.033?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 191152583 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -79.99744 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, l: 3}. What is prob of picking 2 n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 7:56 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuu when three letters picked without replacement from geegggcegucuccc.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 8*j - 6. Solve j*u = -2*u + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 221*p**2 - 2. Let a(b) = 14*b**2 - 5. Calculate o(a(x)).\nAnswer: 43316*x**4 - 30940*x**2 + 5523","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7*c**2 - 7*c - 5. Let i(o) = -3*o**2 + 4*o + 2. Let g(z) = -5*i(z) - 2*l(z). List the prime factors of g(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.65 - -1.65. Which is the nearest to m? (a) -3 (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r**3 - 13*r**2 - 7*r**2 - 2 + 20*r**2 + r as x + a*r + z*r**3 + i*r**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18932 - 9468 + 5*y - 9464.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*w + 3, -5*i - 5*w = 0. Let v be 3\/7*(-2 + 1). Which is the second smallest value? (a) i (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**4\/12 + 10*d**2. Let a(p) = p**2. Calculate k(a(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 10*f - 7*f - f. Let x(l) = -2*l + 2. Let q(v) = -v**3 + 7*v**2 - 2*v + 15. Let g be q(7). Determine g*x(d) + 4*b(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -261 and 30.87?\nAnswer: 291.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -170 + 1194\/7. Let k = -0.2 - -0.2. Which is the smallest value? (a) v (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 - 40. Suppose -5666*y = -5672*y + 96. Calculate the lowest common multiple of y and d.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -37*v**6\/720 + v**5\/120 - 2*v**4\/3 - 5*v. Let s(l) be the third derivative of k(l). Is s(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.8 + 1.9. Let b = -2.9 + 3. Is b at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 10. Let u = t - 2. Let b(l) = l - 1. Give b(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12517\/2 in -1\/3, 0.5, 63?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 85353273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -310.3661 - -0.3661. Which is the fourth smallest value? (a) r (b) 4 (c) -2\/15 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10003223 + 21?\nAnswer: -10003202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -35*n - 88. Is p(-14) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 62\nAnswer: -6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48.35 + 0.65. Let m = z + -53. Is -14 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 425\/34*(-4)\/(-5). Suppose -t = -4*a - 2. Solve d - 19 - a = 4*i, -i - 2*d = -6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106057 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4) + (-191)\/(-4). Suppose -5*a = 4*f - k + 17, -2*a + 5*f - 14 = 0. Suppose -65 = a*h + 205. What is h rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414.2236 plus 5.4?\nAnswer: 419.6236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1248, -2622, -4094, -5712, -7524?\nAnswer: -9578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83016.3 centuries in months?\nAnswer: 99619560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**3\/3 + 11. Let w(j) be the first derivative of 0*j**2 - 4 + 0*j + 5\/3*j**3. What is w(m(k))?\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.04 less than 8?\nAnswer: -10.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3041542 - -1?\nAnswer: -3041541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2167.6 - -2172. Which is the third smallest value? (a) t (b) -17\/4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -25. Let f(n) = -3*n + 20. Let m be f(t). Solve -5*d + 15 = -m*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11323514 to the nearest integer?\nAnswer: 3365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*c**2 - c**4 + 106*c**3 - 202*c**3 + 95*c**3 in the form p*c**3 + k*c + b*c**4 + i*c**2 + g and give i.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22162 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 39*g**6\/5 - 235*g**4\/12 + 187*g. Find the third derivative of j(w) wrt w.\nAnswer: 5616*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47124 and 315.\nAnswer: 235620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8174 years in decades?\nAnswer: 0.08174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*p + 5*p + 9 - 8 + 2*p - 2*p**2 in the form u*p + k*p**2 + l and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 8*y - 5. Let g be i(8). Let q be 5 + g + (-10)\/(-5). Solve 2*w = q, 2*w = -4*k + 2 + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwhqtqhhhqqhh. Give prob of picking 2 h.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 559385, 559398, 559411, 559424, 559437, 559450?\nAnswer: 559463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(325) - sqrt(325)) + -5)**2 - (-4 + -5 + -1 + sqrt(13)).\nAnswer: -sqrt(13) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 31*s**2 - 59*s + 32. Let c be o(29). Solve 0 = c*q - 13 + 13 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3)\/r)**(2\/31))**(-31\/5) assuming r is positive.\nAnswer: r**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -4, -37, 4, 0 in descending order.\nAnswer: 4, 0, -3, -4, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3458 = -4*w, 10*b = 2*w + 15*b - 1716. Suppose -w*t + 861*t = 96. Put 2, t, 5 in descending order.\nAnswer: 5, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34586 (base 12) to base 13\nAnswer: -25ab2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**6\/120 + n**5\/80 + n**4\/48 - n**3\/24 - 4*n. Factor j(u).\nAnswer: -u*(u - 1)**2*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-18)\/21)\/((-4)\/91) and 1\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26392032 divided by -26?\nAnswer: 13196016\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-29 - (-24 - 30) - (1 + -20))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0343? (a) -2 (b) -1 (c) -5 (d) -18 (e) 10 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1969, -170, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 6 = 0, 34*p - 39*p - 2852 = -k. Let j = 570 + p. Suppose -4*c + 3 = 3*n + 24, -3*c - 16 = 2*n. Sort c, j, -4 in increasing order.\nAnswer: c, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000321 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18767761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 51233, 102463, 153691, 204917, 256141, 307363, 358583?\n\"Answer: -d**2 + 51233*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*z + 32 = 0. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 347893780 and 6045.\nAnswer: 2015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 7*w + 2*w**2 + 7*w.\nAnswer: 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u - 291 - 453 = 2*u + 8*u for u.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/(70\/(-56)*(-4)\/64).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k**2 + 2*k + 2. Let f be o(-1). Let s(n) = 7*n - 47. Let z be s(7). Which is bigger: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47 + 44 + -14 - -40) + -140?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202b (base 14) to base 7.\nAnswer: -22054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d0428 - -1?\nAnswer: d0429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j - 4. Suppose 0 = 9*u - 6*u - 6. Let n = 4 + u. Let v(y) = -5*y + 5. Give n*v(f) + 7*w(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f - -75b?\nAnswer: 77a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8*h. Let k(t) = -34 + 47 - 38 + 22 + 14*t. Determine i(k(g)).\nAnswer: 112*g - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -324*o + 645902 - 1207*o - 645900 to the form c*o + x and give c.\nAnswer: -1531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -10. Suppose 2*h - 28 = -2*h. Suppose -h*f + 18 = 5*l - 3*f, 0 = 5*l + 2*f - 14. Is u != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 153 + -157. Let g = -2 - -4. Calculate the lowest common multiple of g and (-2)\/d - (-3)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3910873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -144931, -289856, -434781, -579706, -724631?\n\"Answer: -144925*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 20. Let d = -23 - -27. Which is the second smallest value? (a) -3\/8 (b) j (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-5) + 26\/65. Let h(j) = -3 - 6 + j + 10 - j**w. Let o(g) be the second derivative of g**4\/3 - g**3\/2 - 2*g**2 - 2*g. Give -6*h(k) - 2*o(k).\nAnswer: -2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -99083\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - 7. Let w(n) = 3*n - 8. Calculate -6*f(s) + 5*w(s).\nAnswer: 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0*(-1 - 0))\/3. Let o = -765 - -1417. Suppose -547 = -3*p - w + 90, 3*p - 2*w - o = y. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -4. Suppose -90 = -m*r + 2*r. What are the prime factors of r\/(-2)*2\/(-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + t - 1. Let i = -17 + 21. Let q(y) = -11*y**2 + 3 - i*y**2 - 3*y + 11*y**2. Determine 3*c(d) + q(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, p: 1, q: 1, m: 1, e: 2, o: 1}. Give prob of picking 1 m and 1 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43 - 14*i + 43)*(-2*i**2 + 0*i + 0*i)*(64*i + 38*i - 16*i) as p + n*i**2 + k*i**3 + o*i + l*i**4 and give l.\nAnswer: 2408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5373620466?\nAnswer: 2, 3, 895603411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 353?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6206.038 * -0.06.\nAnswer: -372.36228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 99 in 0.02, 0, -2\/11?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11837883049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -545*q**4 - 458*q**3\/3 + 482. What is the third derivative of w(z) wrt z?\nAnswer: -13080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1380, 2705, 4020, 5319, 6596, 7845, 9060?\nAnswer: 10235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((14 + -26 - -12) + -6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**5\/30 - n**2 - 46*n - 34. Let q(u) be the second derivative of a(u). Let p(r) = 68*r + 2. What is q(p(g))?\nAnswer: -9248*g**2 - 544*g - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 823363792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 10, 4*r + 0*h + 108 = -2*h. Let l be 201\/(-2)*(-4 + r). Let s = -12965\/4 + l. What is the common denominator of -21\/2 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -8. Let t = -2.8 - -3.1. Put t, -0.1, c in descending order.\nAnswer: c, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 - 0.76. Let i = z + 0.9. Let j = -736\/7 - -105. Sort -0.4, i, j.\nAnswer: -0.4, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*f**2*h*s*v + 11*f**2*h*v - 37*f**2 + f*h*s - 11*s*v - 15*s wrt v?\nAnswer: 5*f**2*h*s + 11*f**2*h - 11*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 41*m + 786. Give u(-16).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c - 6. Let r(a) = -a + 1. Let h(y) = -q(y) - 5*r(y). Let s be 6\/(-5)*20\/(-6). What is h(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkk when three letters picked without replacement from {l: 2, k: 4, z: 1, g: 3, p: 7}.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4356 + -1975. Let b = -2413.42 + s. Let u = 33 + b. What is u rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m - 52 = -7*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*a = -0*a - 384, 3*b + a - 229 = 0. Suppose -3*u - u = -b. Suppose -2*i = -i - u. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 + -222202201002100?\nAnswer: -222202201001200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 12:22 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -946 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a**2 + 1. Let d be t(1). Let f be 6*((-6 - d) + (-14)\/(-4)). Solve 2*p**5 + f*p**3 - 13*p**3 + p**2 - 2*p**4 - 7*p**2 + 0*p**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 12*j = 6*j. Solve 2*g - x - 14 = 0, 0*x - x - 4 = j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -222 in -0.09, -1, -2\/5, -1\/22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 1. Let o be m(1). Suppose 3*g - 3 = p, 4*g = 7*p - 4*p - 1. Let r = g + o. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 6*j + j**4 + 1 - 2*j**2 - 6*j to the form w + z*j**3 + h*j**2 + a*j + i*j**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2515.2217 + 2516. Let g = -0.79 + a. What is g rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 4:35 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/220 and -37\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 1 = 3. Suppose 63*y - 129*y - 330 = 0. Put 16, c, y in ascending order.\nAnswer: y, c, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20791043 and 65.\nAnswer: 103955215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -30, -28, -26?\n\"Answer: 2*t - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1963? (a) 2\/7 (b) 0 (c) 1\/3 (d) -0.03 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 208.52962 rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 158507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28*0.02292.\nAnswer: -0.0064176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1221, 4815, 10739, 18939, 29361, 41951?\n\"Answer: -9*q**3 + 1219*q**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 8 = -2*i. Suppose 0*k = -k + i. Suppose -5*p + 11 = 2*v, p - k = -3*p. Solve -3*j + 2*s = 4*s - 4, v*j - 3 = -3*s for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16666, 3, -42, -9, -1, -3 in descending order.\nAnswer: 3, -1, -3, -9, -42, -16666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 331\/(1 - 9\/30). Let k = x - 66879\/140. Calculate the common denominator of k and 145\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u - 13*u + k - 5 = 0, -5*u - 9*k = -45 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 0*g**2 - 19*g**2)*(34*g**2 - 61*g**2 + 5*g**2).\nAnswer: 484*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - -17. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-73)\/(-4) - 1\/4. Suppose -13*h - 105 = -b*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -257 (b) 94\/3 (c) -2 (d) 5 (e) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c**2 + 6. Let l be t(-2). What is the tens digit of 10\/l*(-156)\/(-5)*-7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -0.23 (b) 3 (c) 2\/7 (d) 2\/895 (e) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(-1 - 1\/(-2)). Let x = 2 + f. Let s = -31 - -43. Solve x*t + s = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in two sevenths of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4469, 29, -74\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o - 1. Let p = -27 + 18. Calculate the lowest common multiple of 6 and n(p).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2922 - -2?\nAnswer: -2920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5576.005391 - -5576. Round d to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 147 = 33*s. Solve 0*l + 8 = -s*l - 2*d, l = -2*d - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide (-4)\/((-96)\/573144) + 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 3*q. Let h(d) = -d. Let l be 4*(-2 - (-9)\/4). Let p(b) = l*r(b) - 3*h(b). Let x(f) = -f + 3 - 3. Calculate x(p(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*w + 21*b + 15 = 47*w + 22*b, -4*w + 14 = -14*b for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 156 - 156.4. Let k = -0.03 + 0.03. Let r = 0.1 - k. Which is the closest to r? (a) 2 (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/10692 and -91\/368874.\nAnswer: 737748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*f + c - 2*c, 20 = 5*c. Sort 2, f, 0.04 in decreasing order.\nAnswer: 2, 0.04, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -208279 and -208434 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.98 (b) 0 (c) -227007\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*u**2 - 13*u + 7*u + 6*u.\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/12*34\/(-85)*110\/33. Suppose -5*x - 12 = -3*l, 0 = -4*l + 3 + 13. What is the second smallest value in r, x, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/(-6))\/((-33)\/((-4752)\/64)). Is -9 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**7\/70 + k**6\/10 - k**5\/4 + k**4\/4 + 25*k**2. Factor o(v).\nAnswer: -3*v*(v - 2)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*(-2*sqrt(176) + 2 + (-4*(sqrt(176) + -1 + sqrt(176)) - sqrt(176)) - (-1*sqrt(176) + 4)**2*-5).\nAnswer: -2448*sqrt(11) + 11592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 353 + (-2)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -138 + 140. What is b in 299 + 2*b**n - 15*b - 57 + 59*b = 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.5, 15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*c**2 + 64*c**2 - 1197 - 3*c + 34*c**2 + 1198 - 11*c**2 to the form h*c**2 + y*c + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -334119c - 5?\nAnswer: -33411a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 2*a - 9, 3 = 3*d + a - 3*a. Let k = 39 - d. Let z be (3\/2)\/((-3)\/(-8)). Solve -4*w - z = -5*r - k, 17 = -w - 5*r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 164 = -0*o. What are the prime factors of o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57031563?\nAnswer: 3, 19010521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -15*h**2 - 150*h - 423. Let r(p) = 85 - 555*p + 302*p + 283*p + 3*p**2. Let z(l) = 5*b(l) + 24*r(l). What is n in z(n) = 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2371*f*p**3 + 2*f*p**2 - f + 720*p**2 wrt p?\nAnswer: 14226*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 66\/12)\/(195\/1092)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59093, -59084, -59061, -59018, -58949, -58848, -58709, -58526?\nAnswer: -58293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -20*u**2. Let g(p) = 2*p - 21. Calculate g(j(s)).\nAnswer: -40*s**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 89 - 366 = 0. Let n be (-1)\/(4\/(-3) - -1). Suppose 0 = -n*h + 50 + 28. Calculate the greatest common factor of v and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1e026 (base 15) to base 5\nAnswer: 11113121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*n**4 - 40 + 40 + (-3*n**2 - n + n)*(2*n**2 - 4*n**2 + 5*n**2) in the form u*n**2 + j + r*n**4 + t*n**3 + l*n and give r.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/345 and 103\/33580?\nAnswer: 100740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**5\/30 - 35*p**4\/6 + 23*p**3 - 103*p**2\/3 - 300*p. Factor j(u).\nAnswer: 2*(u - 103)*(u - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122222 is divided by 49?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2. Let i(u) = -5*u**2 - 4*u. Calculate i(d(w)).\nAnswer: -20*w**4 + 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*l**2 + 21*l**2 + 3*l**3 + 30*l**2.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttettetteeteeettee. What is prob of picking 3 t?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4293914?\nAnswer: 2, 29, 101, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 346064 and 7568?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -23. Let g = 26 - o. Suppose 3*p - 60 = -g. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 7*z - 1. Let s be d(-6). Let n(m) = 3*m + 78. Let f be n(29). Suppose 2*u = s*q + f, -2*u + 0*q + 3*q = -159. Does 32 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.222 in 0.1, -6, -1\/7, 7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 778712349 to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 12238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1055671.\nAnswer: 1055671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 - 3. Let r(c) be the first derivative of c**4\/4 + 5*c**3\/3 - 3*c + 26. Calculate 3*g(i) - 2*r(i).\nAnswer: -2*i**3 + 2*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**4\/4 + 7*v**3\/4 + 5*v**2\/2 - 4*v = 0.\nAnswer: -2, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 88\/365907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 7*x - 3. Let c = -2149 - -2146. Determine v(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 5*u + 10*u)*(4*u**3 - 2*u**3 - 3*u**3) - 3*u**4 - u**4 + 2*u**4.\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73616 is divided by 6638?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*n - 151*n + 240 + 24 = 0 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83138?\nAnswer: 2, 11, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -10 - (-125 + 113 - 26).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -8*l**3 + l**2 + l - 1. What is the units digit of m(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/189 - -25\/378. Let l(b) be the first derivative of -2\/21*b**3 + 2\/7*b + 1\/7*b**2 - v*b**4 + 1. Determine w so that l(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t + 11. Let z(w) be the second derivative of 5*w**3\/2 + 10*w**2 + 71*w. Let a(j) = 11*s(j) - 6*z(j). Determine a(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -446 and -4500.64.\nAnswer: 2007285.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10 + 16 + (-4)\/8*14. Which is smaller: w or 8\/85?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-20)*-2)\/((-4)\/4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14895 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2035 or 2036?\nAnswer: 2035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 3553 = 10*w. List the prime factors of w.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1824b9545 - -4?\nAnswer: -1824b9541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20208 and 2007048.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7*w**2 + 6*w + 7. Let m be u(-2). Suppose -5*q - 55 = -4*v, -m = -7*v + 5*v + q. Calculate the remainder when 238 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l + 5. Let p be v(-5). Suppose p = -0*s + 5*s. Factor 11\/4*u + 7\/4*u**s - 1\/2 - 4*u**2.\nAnswer: (u - 1)**2*(7*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4}. What is prob of picking 4 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 491126 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 334, 1159, 2534, 4459, 6934?\n\"Answer: 275*z**2 + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - sqrt(98)\/(sqrt(7)*-2))\/(sqrt(126)\/sqrt(7) + sqrt(18)))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 9084*n - 127179. Give v(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 10:42 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5135)\/42 + (-45)\/(-105). Which is smaller: r or -123?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 41*l + 34. Let w be b(21). Let j = w + 365. List the prime factors of j.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -281 - -2794. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10132011003 (base 4) to base 15.\nAnswer: -1822d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*t = 183, 6*q - q - 3*t - 304 = 0. Calculate the remainder when q is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -225617.6309 minus -272193?\nAnswer: 46575.3691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/55*3030\/(-16). Let k = 145\/8 - c. What is the common denominator of k and 53\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2096*o + 260*o + 2246*o.\nAnswer: 4602*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 4. Which is the closest to 0? (a) u (b) -1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34274 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t + 1. Let c be ((-2)\/(-4))\/((-4)\/(-24)). Let s(x) = 5*x + 5 + 2*x - c - 4. Calculate -10*m(y) - 6*s(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -711 = -87*j + 507 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25300 + -25293. Calculate the remainder when 1\/2*2*39 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 48, 124, 230, 366, 532?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 5. Let f(s) = -18*s - 12*s**3 - 3 + 25*s**2 + s**b + 0 + 1. Let t(k) = 11*k**3 - 25*k**2 + 18*k + 1. Let n(q) = 5*f(q) + 6*t(q). Factor n(i).\nAnswer: 2*(i - 2)*(i - 1)*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7394 plus -236968?\nAnswer: -244362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y + 8*y + 4*y**2 + (5 + 0 - 3)*(-5*y + 5*y + 2*y**2))*(y + 3*y - 3*y)*(-y - y + 0*y).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oaoaaaaoaaaaoa. What is prob of picking 4 a?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*6\/60*-6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 13.92. What is f rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - -4 - (19 - 9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 + -48. Let c(l) = 5*l + 2. Let w(i) = i + 1. Determine t*w(q) + c(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1192714983 to the nearest integer?\nAnswer: 34536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/7, 2, -5, -35, 9.69?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 63126287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.558 - -0.008. Let p = -2.55 - r. Let b = p + 19. Which is bigger: b or -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*h + 183*h - 2135 = 0. Let i = h - 275. Is i a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - k + 2)*(5 - 3 + 2) + (-6 + 12 + 2)*(0 + 0 - 3)*(-5*k + 4*k + 6*k + (2*k - 3*k + 3*k)*(1 + 1 + 0) + 1 + 2*k - 1 + 3*k - 5*k + 3*k - k + 0*k + 0*k).\nAnswer: -268*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17734 + -17731. Let y = 0.1 - 0.3. What is the third biggest value in 1\/2, y, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 17*i - 89. Let t be m(11). Put t, -5, -1 in increasing order.\nAnswer: t, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + (7 - (-1 - -15) - -12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -b4782 (base 16) to base 14\nAnswer: -153562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 6*s**2 + 9*s - 8. Let n be i(7). Is 9 a factor of n\/2*(-60)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13647639 rounded to the nearest 100000?\nAnswer: -13600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 83.61646t?\nAnswer: 83616460000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 4*m + 14, -3*u + 5*m + 9 = -22 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.48 and -8546855.\nAnswer: -12649345.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 3*t**4\/8 - t**3\/3 + 11*t**2 - 16. Let u(b) be the second derivative of n(b). What are the prime factors of u(15)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2912, -11587, -26050, -46301?\nAnswer: -72340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8*t**3 + 2*t**2 - 7*t**3 - 18 + 11*t - 8*t**2 - 7*t**2. Let y be n(12). What is the units digit of (-25)\/(-6)*11\/((-55)\/y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -23939499055.85 from -0.2.\nAnswer: 23939499055.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 135194*i**5 + 4*i**2 + 18196*i wrt i?\nAnswer: 8111640*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385 - 154*j + 164 - 793 + 243.\nAnswer: -154*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 1:23 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -44*u**5\/5 - 7*u**3 - 30. Find the third derivative of k(s) wrt s.\nAnswer: -1056*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/5 in 0.09, -4, -1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -36*z - 4. Let s be j(-9). Let k be (-11 + (-1197)\/(-95))\/(8\/50). What is the greatest common factor of s and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in -0.4, -16, 1\/8, -23?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*i + 33525 + 35*i**2 + 102*i**2 + 30*i**2 - 33523 as c*i**2 + y + v*i and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.08, -147598, 3\/5, 5\/6, 0.2, 3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-6 - -1) - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 divided by -726?\nAnswer: -305\/363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -6362*m + 118 + 6359*m + 352 in the form b*m + f and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (137\/411)\/(2\/(-60)*1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1258920, 1258922, 1258926, 1258932, 1258940, 1258950, 1258962?\nAnswer: 1258976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 177*y**2. Suppose -15*x + 34*x - 76 = 0. Let i(s) = -26*s + 12*s + 11*s + x*s. Determine i(m(b)).\nAnswer: 177*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1*((-3)\/126*18)\/3)\/(-12)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 - 7*l - 2. Let o be m(6). Suppose -19*s + 14 = -18*s. What is the highest common divisor of o and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/40 and -101\/332.\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19195 = 13*s - 206875. Is s a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*x + 4*x. Suppose -2*p = -h + x*p - 22, 0 = -4*h - 4*p + 12. Let r(j) = 4*j**2 - 2*j - 1. Let g be r(h). What is g rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -43*f + 45. Let k be b(1). Suppose 0 = -2*t - 3*h - 7, 4*t - 7 = t - h. Suppose k*q = -t*q + 882. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1008 divided by 24.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 137, 129, 117, 101, 81, 57?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*w + 346 - 30, 0 = 5*m + w - 391. Suppose -4*f + f = -m. Is f a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111084.\nAnswer: 2, 3, 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255238443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-60)\/(-2190) - (-738)\/(-292))\/(2\/(-76)). Solve 0 = v*g - 3*g - 644 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -r - 45 - 45 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 7:34 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 10 = -3*p, f + 9*p - 10 + 54 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 124*o**2 + 115*o + 1263. Let n be u(125). Solve 3*t - 2*i - 25 = 0, -4*t + 10*i - n*i + 5 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 11 - 169 = 0. Let k be 7*b\/(-147)*(-49)\/(-2). Calculate the highest common divisor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7*h = -25. Let y(u) = -4*u**2 - 3 - 14*u**2 + 17*u**2 + 3*u. What is y(h)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026388 rounded to 4 dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -33258346757 - -0.136?\nAnswer: -33258346756.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y**2 - y. Let r be t(1). Suppose r*c - 133 = -3*p, 2*c + 2*p = -0*p + 50. Let a = -19904 + 19956. What is the remainder when a is divided by c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6369 by -4.\nAnswer: -6369\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5122567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 263 + -256.87. What is h rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2 - 7*j - 8. Give z(5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -530*f**2 + 2*f + 2. Let x be h(-1). Let y be (35\/10 + -4)*x. Let v = -145 + y. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 5 - 1624*w**2 + 2*w - 9 - 9 in the form q*w**2 + c*w + r and give q.\nAnswer: -1624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - w**2 - w**2 - 3*w**2 + 0*w**2 + 5*w**2 + (-w - 2*w + 2*w)*(-8 + 8 + w))*(29*w**2 + 216*w**2 + 35*w**2).\nAnswer: -280*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2\/9)\/((-20)\/15)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 9:25 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + -2*2\/(-4). Suppose 2*t - 165 = -d*g, 4*t - 167 = -5*g + 188. What is the greatest common factor of 19 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -6*p + 192. Suppose -p*g - 54 = -32*g. Suppose -2*f + 44 = 5*x - g, 4*f + 3*x = 168. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -119*m**6 - 13*m**4 - m**3 + 35*m**2 - 112*m?\nAnswer: -14280*m**3 - 312*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 287, -12, -704.\nAnswer: -704, -12, -4, -1, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 9679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*a**3 - 191*a**3 + 371*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2018*c - 10 + 15 - 15392*c - 5 in the form t + b*c and give b.\nAnswer: -17410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.043.\nAnswer: -0.0129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22466*f + 21664*f - 30476 = 0 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3133*d - 2604*d**3 + 3133*d.\nAnswer: -2604*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(-2))\/(3\/6). Let k(r) = 2 + 2 - 4*r**2 + i*r**2 + 6*r. Let o be k(-5). Sort -3, -5, o.\nAnswer: -5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**34\/x**(-38) assuming x is positive.\nAnswer: x**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4506, -6383, -8260, -10137?\nAnswer: -12014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4016*w + 409 + 5*w**2 - 4016*w.\nAnswer: 5*w**2 + 409","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdmnsmkmdnndm. What is prob of picking 2 n and 2 m?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 971077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 79 + 32. Solve -3*y - 2*r + 21 = 0, 6*y - y + 4*r = x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3233965 is divided by 1100?\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.61 times -1.5\nAnswer: -0.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-10))\/((-2)\/10). Let f be h - (4\/10)\/((-21)\/270). Factor -f*g**2 - 72\/7 - 120\/7*g.\nAnswer: -2*(5*g + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 + 2*u**4 - 26 - 1 - 19 as n*u**4 + y + d*u**3 + w*u + t*u**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -120276 divided by 1542?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*o - 16. Suppose -i + m = 0, -4*i = -2*i + 5*m - o. Find the third derivative of l - l**2 - l**i - l wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5\/13, 2\/9, -3, 4 in descending order.\nAnswer: 4, 1, 5\/13, 2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2485*a**3 + 0 - 2469*a**3.\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 19264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 10 + (-4 - 0) + 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125.3*3.4.\nAnswer: 426.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 135, 5, -4, 0, -0.2 in descending order.\nAnswer: 135, 5, 0, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 111134233 (base 6) to base 7\nAnswer: 23105541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*k + 426*k = 22984 + 9558 for k.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -28 - (1 - 1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.6 - 3.6. Let n = -4 - -6. Let s = n - y. Which is the nearest to -1\/3? (a) 0.3 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48214489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u - 4*k = 15*u + 1371, -u - 5*k = -1416. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 138\/621 - 29*1\/9. Suppose 16 - 6 = -2*l. Let n(g) = 4*g**2 - 3*g + 3. Let s be n(2). Sort y, s, l in ascending order.\nAnswer: l, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/1488 and (-4719)\/403*((-535)\/90 + 6)?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*t**3 + 2941*t - 2943*t + t**2 + 7*t**4 - 12*t**3 + 2 to the form f*t**4 + v*t + d*t**2 + c + w*t**3 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1570c4 - -a?\nAnswer: -1570b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -f - 5*g - 35, -45 = -4*f + g. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x**2 + x - 1. Let s(g) = g + 5. Let z be s(0). Let d be ((-1)\/(-2))\/(z\/10). Give l(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 4 + 9 + 7266*g - 7364*g.\nAnswer: -98*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20661.61 milliseconds in seconds?\nAnswer: 20.66161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/84 - (-6)\/(-21). Let l = 8 + -7. What is the closest to -2\/3 in f, l, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/7, 44.\nAnswer: 3\/7, 3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Suppose 0 = -2*h - 3*c + 14, -4 + 0 = -2*h + 2*c. Suppose 12 = -h*m - 0*m. Put -1, m, w in ascending order.\nAnswer: m, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**5 + 388*o**4 + 2892*o**3 + 2108*o**2 - 2888*o - 2496 = 0. What is o?\nAnswer: -6, -1, 1, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -226761288, -453522579, -680283870, -907045161, -1133806452?\n\"Answer: -226761291*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -5, 2, -1\/9, -4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/2)\/((-1)\/(4\/6)). Sort 4, v, -5 in increasing order.\nAnswer: -5, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375862673 to the power of 1\/2, to the nearest integer?\nAnswer: 19387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2289254 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/4, -9.2, -129?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -18*i - 58. Let f be t(-3). Is 5\/(120\/50667) + f\/32 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3\/5 (b) -12 (c) -4 (d) -293 (e) 2\/17 (f) -0.3 (g) -15\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6))**(7\/4) assuming q is positive.\nAnswer: q**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2215\/6 or 1\/2?\nAnswer: 2215\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -8571?\nAnswer: 8566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 194689977 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 385 in increasing order.\nAnswer: -4, -1, 385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 2\/11, -4, 5, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2984 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -4*s + 7, 0 = -5883*g + 5880*g - 5*s + 47 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 910243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01781 and -0.4850557692.\nAnswer: -0.4672457692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d. Let v(k) = -90733*k**2. Calculate q(v(a)).\nAnswer: 181466*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4044 (base 5) to base 16\nAnswer: 20c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 78\/21 - ((-2)\/7 + 0). Suppose 51*l + f = 52*l. What is the tens digit of (-18)\/(-24) + 821\/l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-6)\/171 + 180\/95. Factor 44*u**p + 158*u**3 + 76*u + 112 - 236*u - 154*u**3.\nAnswer: 4*(u - 2)*(u - 1)*(u + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-44))\/(-9 - (-210)\/22).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - -868. Is x a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or -331?\nAnswer: -331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271008 = 2964*t - 999*t - 500*t + 6063*t for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.031 * 5.7\nAnswer: -0.1767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -317 + 59. Let h = t + 440. Let w be h\/(-392) + (-2)\/7. Which is the third biggest value? (a) w (b) 3 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11310 (base 4) to base 11.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 16*l + 934. Let o be z(-54). Calculate the highest common divisor of o and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 8*n + 1. Let b be h(-6). Let x = 13 + b. Suppose 5*c = 5, -u + 12 = x*u - 3*c. Calculate the highest common factor of 2 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45319?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + (-1 + (2*2*sqrt(208) - sqrt(208)) + sqrt(208))**2.\nAnswer: -32*sqrt(13) + 3334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27777768.\nAnswer: 2, 3, 733, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243103*n + 1491 = 242890*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 267.41462 * 5\nAnswer: 1337.0731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 488 - -1732. Round w to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -5*k - 17*o + 18*o, -17 = 5*k + 4*o - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12207 + 12582. Is o smaller than -7\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*j - 463*j**3 + 0*j - 20441429 + 20442467 wrt j?\nAnswer: -1389*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71 + -34. Let w = 22766.47 - 22662. Let k = w + z. Round k to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 bigger than 1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/8)\/((-12)\/(-40)). Suppose 6 = -5*t - c, k*t + 5*c + 1 = -9. Let d = -257215\/349 - -737. Which is smaller: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3271788*r - 2993966 wrt r.\nAnswer: -3271788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 224?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 8*t + 4. List the prime factors of r(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-28)\/(-21))\/1)\/((-3)\/9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162292, 324567, 486806, 648991, 811104, 973127, 1135042?\nAnswer: 1296831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6890 + 103*b**2 + 2*b**3 - 3439 - 3451.\nAnswer: 2*b**3 + 103*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1039*s**3 + 37*s**3 + 139162 - 139164 to q + g*s**2 + h*s**3 + j*s and give h.\nAnswer: -1002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4*((0 + sqrt(396))*-3 - (sqrt(396) + -4*(1 + sqrt(396))))*6 + -3))**2*-1.\nAnswer: -311364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w + 39 - 39)*(-2*w**3 + 0*w**3 + w**3 - w**3 + 0*w**3 + 0*w**3 + (0 + 7 - 3)*(w**3 + 3*w**3 - 2*w**3)).\nAnswer: -60*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 252\/(-864)*16*1\/(-7)*9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1115*21*(-2)\/(-15). Let t = o - 1576. Let f = 3203 - t. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 30, -6, 1124, -5 in ascending order.\nAnswer: -6, -5, 1, 3, 30, 1124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 18 = 2*r, -3*f + 44 = -4*r - f. Let g = r - -15. Suppose -s = g*s - 108. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6*d. Let z(r) be the first derivative of -r**2\/2 - 4. Let x(p) = 3*n(p) - 21*z(p). Let b(y) = -57 - 16*y - 53 + 110. Calculate b(x(h)).\nAnswer: -48*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -1316\nAnswer: -6580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 47. Let p be f(-15). Let z = 10 - p. Suppose 0*u - 192 = -4*u. Calculate the greatest common divisor of z and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -39951, -39949, -39947, -39945?\n\"Answer: 2*i - 39953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 6. Suppose 20 = -4*l - f, l - 7*f = -a*f - 5. Let j be -1 + -1 - (3 - 5). Sort 3, l, j in ascending order.\nAnswer: l, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2 + (1 + 0 - 2)*(3 - 7 + 3))*(-9*v + 21 - 5 - 15).\nAnswer: 9*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s. Suppose -3*b - 2 = -4*b. Suppose -b*k + 3 + 51 = 0. Let n = -29 + k. Calculate f(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssgffgfffgg. What is prob of picking 1 s and 1 f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 - -1005*(-15)\/(-225)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/609 and -32\/13561.\nAnswer: 8258649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*p - 1058*p = 416*p - 177882 for p.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27078910?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9763086 is divided by 390523?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3216 and -4673361.\nAnswer: -4673361.3216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence titj when four letters picked without replacement from ttyjutuuujui?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1 (c) 258\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 8*z = 0. Let d(h) = h + 177. Is d(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 83, 95, 111, 131?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i. Let q(x) = 2*x**2 - 1024*x - 3. What is f(q(a))?\nAnswer: -4*a**2 + 2048*a + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a + 4. Let r be t(-6). Let p = -11 - r. Let l be 39*1\/p*-1. Solve 3 + l = 4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y + 7. Let w be o(3). Let u(b) = b**4 + b**3 - 2*b - 1. Let f(r) = 5*r**4 + 13*r**3 - 18*r**2 + 8*r - 14. Let q(d) = w*f(d) - 6*u(d). Factor q(n).\nAnswer: -(n - 2)**3*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 - h**2 - h. Let t(s) = 19*s**3 + s**2 - 15*s - 1. Let f(j) = -4*q(j) - t(j). Find the second derivative of f(l) wrt l.\nAnswer: -66*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418175 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 337\/114 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -0.1, 694\/27, -0.4, 0.03, 4, 5?\nAnswer: 694\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2829573, -2829572, -2829571, -2829570, -2829569?\nAnswer: -2829568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -224*v - 4. Let d(m) = 335*m + 7. Calculate -5*d(q) - 7*s(q).\nAnswer: -107*q - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -21, 5, 3, -5, 20 in decreasing order.\nAnswer: 20, 5, 3, -5, -8, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.26481212 to two dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 r when two letters picked without replacement from rrrrrrrrrcrrrrcc?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + o + 5*o - 5*o)*(-74*o + 4*o + o).\nAnswer: -69*o**2 + 2139*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + (((sqrt(91) - (sqrt(91) - sqrt(91)*2))*1)\/(sqrt(7) + sqrt(567)*-4))**2*-2 + -1).\nAnswer: -22362\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(1*sqrt(12)*-3)*-5*-4.\nAnswer: -20*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -7\/2*s**4 - 11*s**2 + 0*s - 38 + 0*s**3. What is the second derivative of k(g) wrt g?\nAnswer: -84*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxc when three letters picked without replacement from {c: 1, z: 4, r: 3, x: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**2*w**3 - 65*q**2*w**2 + 200714*q**2*w - 17*q*w + 45100*w**3 wrt q.\nAnswer: 2*w**3 - 130*w**2 + 401428*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 314944109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -6\/8113703 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-210))\/(((-80)\/15)\/(-8))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 0.05 (c) 2\/3665\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*d + 122 = -r, 0 = -3*r + 2*d + 322. Suppose 5*s - 2*l - r = -5, 3*l = -s + 4. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**4 + 0*p**4 + 0*p**4 - 2*p**4 - 3*p**3 + 3*p**3 + (-p + p + 2*p)*(-2*p**3 + 0*p**3 + 0*p**3) + (3 - 2 + 0)*(-p**4 + p**2 - p**2).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/31672827 and 16\/2367.\nAnswer: 31672827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1573) + 1) + -1 + sqrt(1573) + -1)**2 + 4.\nAnswer: 616*sqrt(13) + 77097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1394640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 227226431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 26 - 7*b**3)*(b + 0 + 0) - 3*b**3 - 21*b**4 + 11*b**4 + 18*b + 11*b**4 + (-2*b**4 + 0*b**4 + 0*b**4)*(2 - 3 + 3).\nAnswer: -10*b**4 - 3*b**3 + 18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.2922 to 2 decimal places.\nAnswer: -4.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 171*u + 7581. Let g(v) = -v**2 + 172*v - 7577. Let r(k) = -2*f(k) - 3*g(k). Suppose r(x) = 0. Calculate x.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, g: 3, l: 3, r: 5, e: 1, d: 2}. Give prob of sequence llge.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.13 + -1. Let l = d + -0.43. Let s be 1\/(-4) + 26\/40. What is the closest to 1 in -0.1, l, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -0.7, 12, 0.2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4141244 (base 7) in base 16?\nAnswer: -79748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 8*y - 9. Suppose -6*t = -y*t - 112. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zqziqch. What is prob of picking 4 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22452374 and 4179?\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 5, -0.3, -0.058, 0.104?\nAnswer: 0.104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28934 + -28934.2. Which is the smallest value? (a) z (b) 1\/67 (c) -1\/14 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 2*m + 0*m + 0*m + 4*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 divided by 34.\nAnswer: -87\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-12)\/(-18)*(-438)\/365\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293.92719 months in decades?\nAnswer: 2.44939325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -840 - 838 + 1678 - 526*j + 5311*j to q + v*j and give v.\nAnswer: 4785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.750856 and 0.4?\nAnswer: -0.7003424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 350, 526?\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11\/5 or -12.63626?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47861789.\nAnswer: 2293, 20873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + a + 1. Let d(t) be the third derivative of t**6\/30 + t**4\/12 + t**3\/3 + 2*t**2. Give -d(b) + 2*p(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 57 + -21e0?\nAnswer: -2189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6418, 24546, 54766, 97084, 151506, 218038, 296686, 387456?\nAnswer: 490354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846325?\nAnswer: 5, 97, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227280304 divided by -14205019.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -54) + -1324 + 1325.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o**2 - 9*o - 639. Let z(f) = -2*f**2 + 6*f + 2. Calculate u(m) + 3*z(m).\nAnswer: m**2 + 9*m - 633","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234156 is divided by 54.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -128733?\nAnswer: -257466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.828999 and -1.735.\nAnswer: -2.563999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 + -2 - (398 - 426).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35.31772 + 35.21. Let l = v - -0.03743. Let g = l - -0.071. What is g rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13299\/(-434))\/(-33)*-7\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39176472 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = 3*b - 8*x, -7982*x + 7981*x - 9 = 2*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4 + sqrt(847) + 1 - 3*-2*sqrt(847)))**2.\nAnswer: 6930*sqrt(7) + 373752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*x - 7492530 + 1967339 = 121*x. What is x rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5\/6*i**2 + 605\/6 - 55\/3*i = 0. What is i?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*j - 1300 = 674. Solve 0 = 12*h - 34 - j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 43*p + 6. Let o be g(5). Suppose -5*f + o = -9. Let d = f + -25. Solve -k - 3*c = -0*c - 1, -5*k + d = -c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04348 in -1.1, -4, 0, 3, -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*l + 3*i - 6786, 0 = l - 2*i - 2251. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/6)\/(6*8\/(-1512)). Let b = 198 - o. What are the prime factors of b?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17544\/(-1258) - -2) + 12?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -16*y**3 - 317*y**2 + 523*y - 267. Let j(f) = 11*f**3 + 211*f**2 - 350*f + 177. Let v(d) = 7*g(d) + 11*j(d). Determine c so that v(c) = 0.\nAnswer: -13, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/(a\/(a**(-27)*a)))\/a))\/(a*a\/(a\/(a*a\/(a\/(a**23*a))*a))) assuming a is positive.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -0.37, 3, -3\/2, -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2185, -4, -0.4, -5?\nAnswer: -2185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (30045\/2)\/(10\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/2 - -3*(-26)\/39. Let f = -87 + 86.98. What is the closest to g in -2\/7, f, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a litre in millilitres?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-90)\/720)\/(2\/4). Let d = 0 + -0.2. Which is the closest to g? (a) 0.4 (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**3 + 5*u**2 - 554*u + 14. Let s(q) = 9*q**3 - 11*q**2 + 1107*q - 30. Determine 13*g(k) + 6*s(k).\nAnswer: 2*k**3 - k**2 - 560*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -335863 or -3022766\/9?\nAnswer: -3022766\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65980 by 6598.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 5. Let b be q + (1 - (-2 + 5)). Let i = 9 + -6. What is the greatest common divisor of b and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2917192 is divided by 1442?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s**2 + 70*s - 9*s**2 + 184 - 183)*(-3*s**3 - 4*s + 4*s).\nAnswer: 6*s**5 - 210*s**4 - 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160468230 and 749268?\nAnswer: 962809380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2709821 to the nearest integer?\nAnswer: 1646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*((3*l + 24*l - 4*l)*(2 + 0 - 3) + 3 - 3 + 3*l + (-3*l + l - 3*l)*(3 + 2 - 2)).\nAnswer: 35*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167, -811, -1887, -3395, -5335, -7707?\nAnswer: -10511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*u + 9551, 26*q = 4*u + 24*q - 12734. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 428692635*j**3*m + 1935*j**2*m + 3*j**2 + 12125*j*m wrt j?\nAnswer: 2572155810*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.081? (a) -0.2 (b) -4\/5 (c) -13 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(84)*2)\/sqrt(12)*-1.\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/(4\/(-528)). Let j = 32 - c. Let t(n) = 1199*n - 3 - 1199*n - 4*n**2. Let o(l) = 23*l**2 + 17. Determine j*t(i) - 6*o(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, -1, -1\/38?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - (-6)\/(-2 - 1). Let f = -98 + 98.5. What is the second smallest value in f, g, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p - 160 = -63*p. Solve -p*s**2 - 8*s + 5*s**2 + 14 - 15 - 8 = 0 for s.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, m: 2, y: 4, x: 5}. Give prob of picking 2 m and 2 l.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 170.58 + -169. Let t = 1.58 - b. What is the nearest to t in -55, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193801 less than -0.034?\nAnswer: 193800.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1132.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w = 13*w - 105. Which is the second biggest value? (a) 1\/5 (b) w (c) -1 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 19*o**2 + 22*o + 16. What is a(-20)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - 8*n + 6. Let v be g(3). Suppose -2*y = 5*r + 112, 3*r + 5 = 5*y + 254. Sort 4, v, y, 5 in ascending order.\nAnswer: y, v, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2438248 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3586 divided by -22.\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 23)\/22*1*12\/21?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 17 = x. Let h = x - 24. List the prime factors of ((-8)\/14)\/(2\/h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 50 = -0*d. Suppose 4*v = 3*v + 26. Suppose 127 = v*o - 3. Calculate the greatest common factor of o and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23064 divided by -6\nAnswer: -3844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 932207327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 18*b**2 - 29*b - 4. Give m(15).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10519493?\nAnswer: 41, 47, 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 668*c = 1250*c - 683*c + 6262 for c.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*x**2 - 206 - 17*x**2 + 1208*x**4 + 224 wrt x.\nAnswer: 28992*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 110) + 92 - (7 + 1).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0.15. Let w = -4.8372 + 4.98. Let n = i + w. Round n to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*-2*44\/(-8). What are the prime factors of (10 - i)*(-55 + -1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*q**2 - 1002076*q\/7 + 1446\/7 = 0. What is q?\nAnswer: -723, 1\/693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 2*b = -6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5737 or -1?\nAnswer: -2\/5737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 186, -4, 2\/15 in descending order.\nAnswer: 186, 2\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 65689.237 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4 - p**2 - 24 + 16*p + 7. Let v be c(10). Suppose 0 = u - 20 - v. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/45*-6 - (-2)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 0.07 (c) -0.1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sol when three letters picked without replacement from ooszmooozzmmmmzzmlm.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -0*k. Suppose 2*f = 4, 27 + 7 = 4*n - f. Suppose 0*x = 3*x - n. Solve s - 2 - x = k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibyybriiirr. Give prob of sequence brb.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 25*u**2. Let s(g) = 2*g**2 + 6663*g - 3. Give s(m(b)).\nAnswer: 1250*b**4 + 166575*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*o = 28*o - 108 - 402. Let v(z) = -z - 1. Let b(a) = 6*a + 6. What is o*v(u) - 6*b(u)?\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(363) + -3*sqrt(363) + 4 - -1*sqrt(363)*1)*4*-4)**2.\nAnswer: -485120 + 112640*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 10. Let i be b(5). Suppose 0 = -2*t + 8, -3*u = -7*u + 3*t + 60. Suppose 3*j = 3*k, -2*j + u + 17 = 5*k. Is k equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2174000 and 4000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/5 - 7*k**3\/5 - 103*k**2\/5 - 49*k - 30 = 0 for k.\nAnswer: -5, -2, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -44086663?\nAnswer: 44086661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 17*l**2 + 17*l - 24. What is h(-18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77752*p**4 + 5*p**3 - 36*p**2 + 543048*p - 14 wrt p?\nAnswer: -933024*p**2 + 30*p - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmmm when four letters picked without replacement from {r: 3, m: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6408 - 4561. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15455996 is divided by 2258?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-81)\/6)\/((-243)\/(-324))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-12) - 80\/(-6). Suppose -33 + v = -4*m. Suppose -3*c - c = -48. Solve -2*o - c = -m*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53 times -0.3924867?\nAnswer: 0.208017951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(135))\/sqrt(9))\/sqrt(3) - (sqrt(20) + (sqrt(20) - sqrt(20)*-3) + -5).\nAnswer: -11*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 95 = 2*t + 95, -r - 400 = 4*t. Sort t, 0, -3, 2.\nAnswer: t, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 567cb5 (base 14) to base 10.\nAnswer: 2941335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*1 + (-10)\/(-5). Let d be (8 + t)\/(-2 - -3). Suppose -4 - 14 = -4*n - 2*a, 14 = 3*n + a. Solve n*q - 17 = -d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*v + 6005 - 9255 = 0. Which is bigger: -2\/11 or v?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 2 - 10\/4. Let y = -1.3 + 1. Let l = -12.5 - -13. Which is the closest to -1? (a) l (b) d (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1004473 by -5.\nAnswer: -1004473\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(9\/6 + -3). Let b be 21 + l + 1 + 1. What is the greatest common divisor of 21 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*p**2 + 2 + 32*p**2 + 26*p**2 - 2 + 16*p**2.\nAnswer: 52*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 64 = -2*k, 2*h - 2*k - 104 = -4*k. Let o be (-132)\/88*(-40)\/6. Let u = o + h. Calculate the greatest common divisor of u and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (243*q + 36 - 1 - 242*q)*(-5*q**2 + 2*q**2 - q**2).\nAnswer: -4*q**3 - 140*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -21*b**3 - 29*b**2 - b + 21. Find the second derivative of p(n) wrt n.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45094.2 rounded to the nearest 1000?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.081 + -0.081. Let c(q) = -q + 9. Let g be c(6). What is the closest to 1 in t, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-49) + (-88686)\/14. Let o be (-4)\/22 - d\/55. Suppose 5*n + o = 385. Is 28 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27 and -1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -5 + ((sqrt(539)*-4 + sqrt(539) + sqrt(539))*5 - sqrt(539)) + (sqrt(22)*-1)\/sqrt(2)*2)*5)**2.\nAnswer: 3950*sqrt(11) + 1716300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 9*w**2 - 7*w + 2. Let x be b(-8). Let p be (-27)\/x*(-34)\/(-3). Let c = p + 18. List the prime factors of c.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 40644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3. Let n(r) = -1 + r**2 - 5*r**2 + 3*r**2. Suppose -3*y = -4*m - 4*y - 1, 5*y = 4*m - 29. Calculate m*j(x) - 3*n(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sljrjsrrrrprssppr. Give prob of sequence rr.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*m - 97. Suppose -4 = 4*k - m. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + 231414111031?\nAnswer: 231414111042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, 6, 251, -8 in descending order.\nAnswer: 251, 91, 6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 8 = 0, 0 = 13*b - 17*b - 5*a + 18. Sort -28, 1, b, -2.\nAnswer: -28, -2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (2 + 2) - 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -148.2387 > -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -840 + 1?\nAnswer: -83d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115299 is divided by 19215.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 + 275*g - 27. Let m(t) = -t**2 - 13*t + 3. What is 3*m(f) + u(f)?\nAnswer: -f**2 + 236*f - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*k = -4*v - 40*k + 5, 0 = v - k - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 2*z + 8*z)*(-6 - 1 + 1) + 9 + 2*z - 1 - 1 - 2*z - 4 + 4 + (-3*z + z + z)*(3 - 1 - 3).\nAnswer: -23*z + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.8, 2\/15, 0.3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/(-24))\/(108\/(-96))*12?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/70)\/(42\/98). What is the second smallest value in f, 8, 3, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 - -100?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and (4\/3)\/(-2)*(-8 + -1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31042 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 15*j + 21. Let v be f(-15). Let a = 41 - v. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*n**4 + 24*n + 3\/2*n**3 + 0 + 3\/2*n**5 + 36*n**2 = 0. Calculate n.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 860959991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -0.1 (c) -0.01 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -y + 5*j, -5*j = 3*y - 184 + 33. Suppose -l + 14 = -y. What are the prime factors of l?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -7. Suppose 0 = f*c - 1 + 61. Does 11 divide (4 + -2)*-10*55\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 0.5308?\nAnswer: -0.5308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 3:58 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 666728710 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**3 - 270*l**2 - 276*l + 266. Let v be b(91). Let f(t) = t**2 + 6*t - 20. Determine f(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**4 - 2665*j**2 + 2667*j**2 + 6 - 6*j + 0*j**3 - 3 + 0*j**3 to the form a*j**2 + u + g*j**3 + p*j**4 + w*j and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 - 5*t**3 + 5*t**3)*(-2*t**2 + 0*t**2 + 4*t**2) + 0*t**5 + 13*t**5 - 3*t**5 - 3*t**5 - 2*t**5 + 3*t**5.\nAnswer: 10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7542 divided by -838\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977466?\nAnswer: 2, 3, 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -7*o - 66. Let q be (-6)\/(-9)*426\/4. Suppose 0 = -o*l + q*l - 10895. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1800) - sqrt(1800) - sqrt(1800))\/(1*sqrt(1296)) + (sqrt(6)\/sqrt(3) + 3 + 2 - (0 + sqrt(200) + 0)**2).\nAnswer: -195 - 7*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aiia when four letters picked without replacement from {i: 11, a: 5}.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 714.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9403\/24 - 392. Suppose -2*j + 6 = 0, 15 + 5 = s + 5*j. Suppose 3*q = s*v - 10*v + 17, 2*v = -q + 7. Which is smaller: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 81.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*b - 128, -4*b = -2*u + u + 69. Let v = u - 37. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.17 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4648 and 1919624.\nAnswer: 1919624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -79074.15 and 5.\nAnswer: -395370.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l + 1. Let n be x(1). Suppose -154 = 7*y - 9*y. Let q(a) = -5*a + 0*a + a**2 - y + 75. Calculate q(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*c + 282 - 128, -3*a = -5*c + 307. Solve 59*h - c*h = 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692367.9km in centimeters?\nAnswer: 69236790000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**0)**(-42)\/((b*(b*b**(-1\/5))\/b)\/((b**(4\/3)\/b)\/b))*b\/(b\/(b**(-6)\/b))*b**(-1\/5)*(b\/b**(-1))**8 assuming b is positive.\nAnswer: b**(-104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145 (base 6) to base 11.\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 8:49 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 152 * -45.\nAnswer: -6840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/51340 and -81\/136?\nAnswer: 102680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**2\/5 + 48556*r\/5 - 48558\/5 = 0.\nAnswer: -24279, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - (5 - 3) - -1189?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1464 + 1466. What is f in -2\/9*f**o + 0*f + 2\/9 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and (198\/7)\/((-11)\/(-11) + (-52)\/56)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + 79 - (-1 + 15 + 1) - 38.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1157331962 to 4 decimal places.\nAnswer: 0.1157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 41*a + 478. Let c be b(19). Solve -y + c = -11*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2722173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttzltutzutttjtzult. Give prob of sequence zul.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 483450 divided by -9669?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2 + 7 - 2*x + 4*x**2 - 3*x**2. Suppose 0 = d - 0*d - 37. What is the remainder when d is divided by i(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*7.665603\nAnswer: 15.331206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, 65 in decreasing order.\nAnswer: 65, 10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 68 + 65 + 80*o**2 + 72 - 265 + 65. Let q(g) = -5*g**2. Give q(a(n)).\nAnswer: -32000*n**4 - 4000*n**2 - 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/21 in -1, 0.4, -2\/13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 252 and 672.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -14*q - 42. What is m(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 521, 0.06, -1, -4, -42 in ascending order.\nAnswer: -42, -4, -1, 0.06, 521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 523865 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4239 + 156845\/37. What is the second biggest value in -2, x, 8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 14) to base 2.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 34.\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6925874 to the nearest integer?\nAnswer: 2632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 9*p**2 + 16*p - 9. Calculate the remainder when 19 is divided by m(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 1020*l**2 + 1074*l**2 + 51*l - 151 + 151.\nAnswer: 3*l*(l + 1)*(l + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -910, -1819, -2728, -3643, -4570?\n\"Answer: -x**3 + 6*x**2 - 920*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 6 = -0*u. Is 14 a factor of (2058\/63)\/((-4)\/(-3) - u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -633765, -633781, -633843, -633975, -634201, -634545, -635031?\n\"Answer: -4*w**3 + w**2 + 9*w - 633771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - (-4 + (10 - -16) + -10).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p. Let o(s) = s**2 - 5*s - 12. Let t be o(7). Let v(k) be the third derivative of 0*k + 0*k**3 + 1\/12*k**4 + 0 - k**t. Determine v(i(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -111 at most 0.01639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53806131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 65587930911 take away 0.1?\nAnswer: 65587930910.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**2 - 18*d + 22. Let q(f) = -7*f**2 + 36*f - 43. Let o(u) = 5*g(u) + 3*q(u). Let v be o(17). What is the remainder when 3 is divided by v\/4*-1*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.7. Let m = 3.4 + -0.4. What is the third biggest value in s, m, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-12)\/3 + 6. Suppose 2*w - 1 = p. Suppose 0 = u - 4*d - 20, 0*u - 4*d - 36 = -w*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10185816 divided by -848818\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7954 is divided by 3968.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h - 11*h - 6*h + 13*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 0, 47\/33971 in decreasing order.\nAnswer: 2\/11, 47\/33971, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -131, -268, -497, -818?\n\"Answer: -46*s**2 + s - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one quarters of a week?\nAnswer: 882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 2*k + 3*o - 18 - 17, 0 = -3*k + 3*o - 15 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 8:33 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**6\/120 + k**5\/8 - k**3\/3 + 31*k**2. Let n(o) be the first derivative of x(o). Determine d so that n(d) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9}. Give prob of picking 4 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/78 and 4 + 2 + -3 - (-16080)\/(-5720).\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b6 (base 12) to base 5.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 14*y**2 + 14*y + 17. Let a = -1 + -12. Let s be m(a). Solve 5*d - t - 6 - 9 = 0, -s*t = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3480 divided by -18283.\nAnswer: -3480\/18283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 15*j**2 + 85*j - 775. Calculate o(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 1.23987367.\nAnswer: 0.371962101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -22 (b) -5 (c) 3 (d) 0 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 7 + 13. Suppose -p*d - 3*z + 13 = -2*d, 4 = -4*z. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 2, -5, -1, 3 in ascending order.\nAnswer: -5, -4, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3741537 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 561470000 to the nearest 1000000.\nAnswer: 561000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*m, t - 4*m = 2*t + 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 456, 936, 1418, 1902, 2388, 2876, 3366?\n\"Answer: f**2 + 477*f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*k**2 - 2*k**2 - 142 + 0*k**2 + 72 + 76 in the form q*k**2 + b*k + a and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2382542ml to litres.\nAnswer: 0.0002382542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 25 = -5*n, 4*m - 2*m = n - 5. Let q be (-39 - -40)\/(-4 + 63\/15). Sort -1, 7, q, m in decreasing order.\nAnswer: 7, q, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/4 + (-1108308)\/48. Let k be (-3)\/(105\/h) - (-4)\/14. Let q = k + -325. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m**(-1)\/m)))\/m**(-1))\/((m\/m**(-1\/6))\/m*m**6)*(m**(-1\/3)*m*m\/(m*((m**(1\/9)*m)\/m)\/m))**(-6) assuming m is positive.\nAnswer: m**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109917?\nAnswer: 3, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*(sqrt(187) - 1*sqrt(187)))\/(-5*2*sqrt(11)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 5, -0.01, -1.52, -1, 6 in ascending order.\nAnswer: -1.52, -1, -0.1, -0.01, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33 + -135?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuuuuuuuuvuu. What is prob of sequence uv?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -8*a + 32. Factor 7*k**3 - 12*k - 17*k**3 + 6*k**a - 3*k**4 + 13*k**3.\nAnswer: -3*k*(k - 2)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*y - 2075 = -118*y + 4393 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0269 to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -6 - (-37 + 42)) + -2 + 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 t when three letters picked without replacement from truorroorgg?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -3, -5, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 57 = 55. What is the tens digit of (m + 1\/(-3))\/((-3)\/(-342))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*c**4 + 1585*c**3 - 3254*c**2 + 1641*c.\nAnswer: c*(c - 1)**2*(28*c + 1641)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 2*x - 9, -3 = 4*x - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25090, -50194, -75302, -100408, -125506, -150590, -175654?\nAnswer: -200692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/((-28)\/(-3))*-1032. Suppose 22*n - 16*n = w. What are the prime factors of n?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -55677.27 from 0.067.\nAnswer: 55677.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -5. Let c be (-2)\/6 + 8\/o*-6. Let y = c - -24. What is the nearest to y in 3, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 225.7 + -226. Let z = 70 + -69.5. Which is the smallest value? (a) z (b) f (c) -3\/8 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = 5*k. Suppose -k*q = -5*f - 13, 6 = 2*f - 0*f. Calculate the remainder when q is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 181880 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**4*t**3 + 373*d**4*t + 157*d**2*t**2 - 2*t**3 wrt d.\nAnswer: -48*d*t**3 + 8952*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.09 (b) 14 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - -258)\/(23\/11). Let v = -120 + n. Is v bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r\/r**(-2\/13))))\/r**(-27))\/(r\/(r\/(r\/r**14))*r**(8\/13)))**(2\/45) assuming r is positive.\nAnswer: r**(1054\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 18*((-1)\/6)\/((-86)\/(-258))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 2\/(-4)*-4. Suppose -w + u = -3. Solve -w*c + 6 = -3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(-4)*20\/(-14). Suppose -4*j - 4*p + 21 = -p, 0 = 3*j + 4*p - 21. Do d and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1549548465?\nAnswer: 3, 5, 41, 2519591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -1. Let f be 0 + ((-51)\/12 - -4). Which is the third biggest value? (a) y (b) 2\/7 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/2)\/s**(-3\/11)*s**(5\/4)\/s**(-9\/2) assuming s is positive.\nAnswer: s**(287\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5355, -17410, -37493, -65598, -101719?\nAnswer: -145850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014541775 to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 - 23*r - 51. What is p(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12651884 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276, -1096, -2454, -4344, -6760, -9696?\nAnswer: -13146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 3:04 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 2, 47, -0.3, -1017 in descending order.\nAnswer: 47, 2, -0.3, -1\/2, -1017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.876 - -0.076. Let f = n + 1. What is the nearest to 0.2 in f, 1\/2, 2\/17?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*h = -28*h - 1025 - 2053. Solve 50 = h*p - 26 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -5, 14, 30, -1 in ascending order.\nAnswer: -5, -1, 3, 4, 14, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 69925 to the power of 1\/2, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -51807, -194624, -432653, -765894, -1194347?\n\"Answer: -47606*n**2 + n - 4202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.18 - -1.58. Let x = b - 8.4. Let f = 0 + -0.1. Put -2, f, x in decreasing order.\nAnswer: f, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 6:07 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*a + 19*a - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/93 and -187\/120.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 976, 959, 942, 925?\nAnswer: 908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 15 = 0, -2*u + 54 = 3*u - 3*p. Let q(c) = 14*c**2. Let j(a) = -31*a**2. Let z(b) = u*q(b) + 4*j(b). Let r(l) = -l + 118. Give r(z(t)).\nAnswer: -2*t**2 + 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 8 = 52. Let x = s - 17. Does x = -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -74036, 6\/5, -0.6, 5, -2\/5?\nAnswer: -74036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/28 - 74\/14 - -8. Solve 0 = p*c - 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 11*d**2 - 54*d - 297. Give t(-11).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*z**5 + 0*z**5 + 163*z**3 - 163*z**3 + 13*z**2 wrt z.\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q + 14*q + 5*v + 2*v - 12*v = -17, 5*q + 5*v - 50 = 0 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -286 - -112. Let d = n + 402. What are the prime factors of d?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9669?\nAnswer: 3, 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + j**2 + 5*j - 6. Let c = -7 + 31. What is the remainder when i(-5) is divided by c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 111*t**3 - 2*t**2 + t. Let w be o(1). Suppose 5*n - w = -i, -i = -3*n - 2*i + 66. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15389?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34027 and 2357585?\nAnswer: 16503095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/2))**(-8\/7)*(i\/(i\/(i*i**(2\/3))))**(-2\/89))\/((i*(((i*i\/i**3*i)\/i)\/i*i)\/i*i*i**0)\/(i**(-1))**(-2\/13)) assuming i is positive.\nAnswer: i**(16712\/24297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9888, 9435, 9008, 8619, 8280, 8003, 7800, 7683?\n\"Answer: 2*u**3 + u**2 - 470*u + 10355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = k + 3, 2*k = 4*d - 2172. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (44\/(-33))\/(2\/(-21)). Solve -b = -o - 0*o + 5*g, 3*g + 7 = 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 6:56 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1382 + 1393. Solve 4*q = 4*t + 8, 3*t + 2*q = 2*t - b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -475 - -797. Let o = 106 - v. Let n = o + 373. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, e: 4, h: 10}. What is prob of sequence gh?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41591 is divided by 65?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2 = -2. Suppose 4*f - 6 = f. Find the second derivative of -g**5 + n*g + g**5 - f*g**5 wrt g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**5\/5 - 11*x**4\/4 + 13*x**3 - 49*x**2\/2 + 20*x + 185. Factor z(m).\nAnswer: (m - 5)*(m - 4)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -46, -33, -34, -55, -102?\n\"Answer: -f**3 - f**2 + 23*f - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4056 + -4056. Let m(k) be the first derivative of 6 - 2\/3*k**3 + 0*k**2 + t*k. Let h(y) = 12*y**2. Give h(m(i)).\nAnswer: 48*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -1256\nAnswer: 7\/628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*o - 4 = 0, 3*a + 2 = -a + 3*o. Calculate the common denominator of (-550)\/(-264) + 0 + a and 7\/(-12)*(-129)\/21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + sqrt(70)*-3)*5 - sqrt(70))\/(sqrt(90) + -2*sqrt(90)) + (1*sqrt(1008)*-5 - (sqrt(1008) - (3 + sqrt(1008) + 1) - sqrt(1008))**2).\nAnswer: -1024 - 457*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**5 + 3*f**4*s + 373*f**2*j - 2*f - 1774*j*s wrt f.\nAnswer: 40*f**3 + 36*f**2*s + 746*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 = 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -8*l**3 + 30*l**2 + 9*l - 8. What is y(5)?\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10775591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38895?\nAnswer: 3, 5, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -414023012 + 11?\nAnswer: -414023001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15002, 15070, 15176, 15332, 15550, 15842?\n\"Answer: 2*u**3 + 7*u**2 + 33*u + 14960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 2.369?\nAnswer: 0.9476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**6\/24 + 7*v**5\/6 + 25*v**4\/2 + 60*v**3 + 11*v**2 - 2. Determine j so that s(j) = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/(-25))\/(4\/10). Let c(h) = 6*h - 6*h - 1 - b + h. Give c(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -18\/3523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.11 + -0.67. Let t = -0.76 - s. Which is the second smallest value? (a) -0.5 (b) -8 (c) t (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -5\/2 (b) 5 (c) -0.15 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/3672 and 155\/1487772.\nAnswer: 8926632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w - 31. Let y(q) = -4*q - 64. Give -7*j(i) + 3*y(i).\nAnswer: 2*i + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24674 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*d + 3*v - 99, 249*d - v = 244*d - 1 - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -847*k**3 - 949*k**3 + 284*k**3 + 4*k**2.\nAnswer: -1512*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 13) to base 2.\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 5*y = -2*k - 15, -3*k = 5*y + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*h - 4*y - 3, 0 = -4*h - 3*y - 8. Suppose h + 14 = 3*m. Calculate the remainder when 14 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**8\/6720 + v**7\/840 + v**5\/60 + v**4\/12 - 15*v. Let r(g) be the third derivative of o(g). Calculate r(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 254378 and 2.\nAnswer: 254378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 14*l + 361. Calculate d(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127812?\nAnswer: 2, 3, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 1, 4*i = 2*h + 6*i - 88. Let o be (-30)\/135 - (-1)\/h. What is the third smallest value in o, -0.19, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*175\/(-14)*(-2)\/(-10). Solve -q*g = 20, -2*g - 15 = 3*x + 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -261 (base 7) in base 8?\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d9 (base 16) in base 12?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 88?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 142650200 to the nearest one million.\nAnswer: 143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -298374*b**3\/11 - 53520*b**2 + 16002*b\/11 - 108\/11.\nAnswer: -6*(b + 2)*(223*b - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 25*g**2 + 26*g - 48. Let s be d(2). What is the highest common factor of 13 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*d**2 + 4\/3 + 3*d = 0. What is d?\nAnswer: -4, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5287 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 16*m**2 - 6*m. Let a(s) = 12*s**2 - 43018*s + 36*s**2 + 43001*s. Determine -6*a(i) + 17*p(i).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-6))\/((-20)\/4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -2, -2341, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3508120 and 340?\nAnswer: 3508120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280*k = -281*k + 12782. Suppose -2*f + 5*b - k = -5*f, 4294 = f - 5*b. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 168*s + 1146. Let c be n(-3). Calculate the highest common divisor of 749 and c.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -328, -2, -35, -1, -40 in decreasing order.\nAnswer: -1, -2, -35, -40, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137 - 83880.\nAnswer: -83743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 448.82 times 9.011?\nAnswer: 4044.31702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 2\/25, -4\/9, 3, 2, 13\/365, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-20)\/(b**(-31)*b))**(-39) assuming b is positive.\nAnswer: b**(-390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-25)\/10*(-1 - -3). Let o(z) = -7*z - 4. Let b(c) = 10*c + 6. Let x(w) = i*b(w) - 7*o(w). Let k be 161\/(-28) - (-2)\/(-8). What is x(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92277.\nAnswer: 3, 10253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/4 (b) -0.1 (c) 2 (d) 0.1 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27*p*q + 2281*p - 2977*q - 4 wrt p.\nAnswer: -27*q + 2281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 1413343?\nAnswer: 1413341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0*(h*h**(2\/11))\/h)**39 assuming h is positive.\nAnswer: h**(78\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(-4) + 24\/(-32).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide ((3 - 789)*2\/(-4))\/((-15)\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25*13\/780)\/((-15)\/27)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -10201020011000?\nAnswer: 10201020010220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 7, 23\/4, 0.3, 0.4, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + d)*(-2*d + d - 3*d)*(d**2 + d**2 + 0*d**2) in the form h*d**3 + v + m*d + c*d**2 + u*d**4 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2663 and 0.4?\nAnswer: 0.1337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1. Let x = 216 - 1725\/8. Which is greater: m or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 666 and 4.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11985\/30 - 1\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -237 - -217 - (-1 - 18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**4 - r + 0*r**4 - r**3 - r**4 - 3*r in the form f*r**3 + o*r + h*r**2 + n*r**4 + x and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74064*c**2*z + 2*c**2 + 68*c*z - 215*c wrt c.\nAnswer: 148128*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, 74, -23, -95 in ascending order.\nAnswer: -95, -23, 53, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 39 = -3*y, 2*y + 4*i - 29 = 3. Calculate the remainder when y is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 2*l**2 - 4*l + 1. Let p be h(3). Let w(j) = -3*j + 3 + 2 - 6. Let f be w(p). Put f, 0.4, -5 in ascending order.\nAnswer: -5, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1113*-142\nAnswer: -158046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**6 + 1734*k**4 - 704*k**3 + 16718269*k**2.\nAnswer: -120*k**3 + 41616*k - 4224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.1, -0.3, 46958\/25, -3, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*i - 3 - 4 - 22*i)*(-3 + 3 - 3*i)*(0*i + 3*i + 2*i).\nAnswer: -15*i**3 + 105*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*j + 99, -3*j + 2*a - 5*a = -96. Let x be (-22)\/33*30\/(-5)*-2. Let o = j - x. Calculate the highest common divisor of o and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10255 is divided by 102.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.063172874 rounded to six decimal places?\nAnswer: 0.063173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 10*h - 3. Let y(k) = k**2 + k + 1. What is -s(m) - 3*y(m)?\nAnswer: -2*m**2 + 7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -90322 - -2283646?\nAnswer: 2193324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 139*j + 35 = 147*j + 4, 1 = -3*k + 2*j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 5369*k + 16116.\nAnswer: -(k - 5372)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 2:08 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -5. Let b(o) = -1 + 2*o - 2*o - 2*o + x*o. Let a be b(3). Are a and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 5*f + 401 + 103, 0 = -5*p - f + 630. Let q = p + -86. Suppose z = -3*m + q, -4*z + 2*z - 4*m + 84 = 0. List the prime factors of z.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -2, -4, -1 in descending order.\nAnswer: 11, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 285, 2708, 9285, 22092, 43205, 74700, 118653?\n\"Answer: 346*p**3 + p**2 - 2*p - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 641618.\nAnswer: -19\/641618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 321\/12 + 3\/(-4). Suppose 4*j + 10 = a. Put 5, j, 2 in increasing order.\nAnswer: 2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 4*g + 12. Let w be r(-6). Let m(j) = j**2 + 6*j + 92. What is the units digit of m(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3550\/(-3500) - 9\/(-30)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 17*d + 16*d - 35*d. Let c(h) be the second derivative of -h**3\/6 - 7*h**2\/2 + 474*h. Determine y(c(g)).\nAnswer: 2*g + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*t - 2 = 0, -3*h + 3 = 2*h + 2*t. Let l = -5.25 - 181.75. Let m = l + 189. Which is bigger: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 46*p**3 - 8*p**2 + 47*p - 26. Is y(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/(-108)*4\/(-14).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102526?\nAnswer: 2, 51263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12507 + -12497. Calculate the greatest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 82*l + 329. What is the units digit of m(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 7*n**2 + n - 21. Let c be d(6). Which is smaller: c or 22?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/13, -5, -4, 4, 0.4 in decreasing order.\nAnswer: 4, 15\/13, 0.4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 + 2*n**2 + 4*n - 4. Let g be t(-4). What is g rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-5)))**(2\/35)*((((f\/(f*f**(1\/2)))\/f)\/f)\/f)\/f**(-2\/41) assuming f is positive.\nAnswer: f**(-1817\/574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-4 - (1 - 6) - -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6643635 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21923611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 0*c = 3*c - 26, -4*c - 8 = -4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67601 = 6018*s + 145715 + 33422 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s + 5. Suppose 0 = q + 3*o + 9, 3*o + 6 + 3 = 0. Suppose -6*z = -5*f - 2*z - 5, -5*f + 3*z = q. List the prime factors of n(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 304 = -0*g. Let y = g - 19. Find the third derivative of -19 + y - 5*n**2 - 9*n**3 - n**2 wrt n.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*z + 21, 3*z + z = -2*m + 16. Let g(c) = 23*c + 6. What is the smallest common multiple of g(m) and 7?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-731250169)\/(-13) + (-39)\/3. Round c to the nearest one million.\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -8038*i - 140. Let l be h(20). Round l to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 180 = -0*c + 5*c, -4*c + 2*l = 168. Let v = -27 - c. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 + 3*m - 8. Give j(-6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 6*h**2 - 3*h - 17. Let v be x(-7). Let b(s) = 24*s - v*s + 24*s. Let r(k) = 2*k. What is b(r(g))?\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25261202*r**2 + r - 132105.\nAnswer: -50522404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**3\/6 - o**2 + 14*o - 2. Suppose -w - 24 = -5*w. What is d(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 12:41 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 221589623*t**4 - 10711903*t + 4.\nAnswer: 2659075476*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2096129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/14 and 39\/98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 27 = 2*j - 5*j + 26, 94*j + 393*j - 7317 = -3*d for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 47. Let t be 65\/2 + j\/(-6)*-1. Suppose 6*o - t = -8. Solve -n = o*g + 1, 3*g + 19 = 7*g - 3*n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10569 - 10573.401. Let g = q + 0.401. What is the third smallest value in 1, 2\/9, 1\/2, g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*f*u*x**4 + 4331905*f*u - f*x - 2*f + 3*u + 24261*x**4 with respect to x.\nAnswer: 96*f*u*x**3 - f + 97044*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 27*l**2 - l - 10. Let r(n) = 136*n**2 - 5*n - 46. Give -31*j(w) + 6*r(w).\nAnswer: -21*w**2 + w + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2083354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 11*x**2 - 10*x + 9. Let l(g) = 22 - 11*g - 10*g + 22*g. Calculate the smallest common multiple of l(-11) and y(-10).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 + 15*i - 19*i - 4*i**3 + 0*i**3 as r + p*i + c*i**2 + g*i**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (600\/700)\/(8\/14)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 2*w + 16. What is n(22)?\nAnswer: -424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5109 (base 15) in base 5?\nAnswer: -1021414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q**2 + 4*q - 4. Let r(d) = d - 1. Give -3*k(c) + 12*r(c).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11.02, 4, -4, -2 in decreasing order.\nAnswer: 4, -2, -4, -11.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -880738 (base 9) to base 11.\nAnswer: -329891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(4\/8*-3). Let q be x\/8 + 76\/(-112). Which is the closest to -2? (a) -1 (b) -2\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/20 - (-73)\/5. Let i be 628\/95 - u\/35. Let a = i - 1921\/190. Calculate the common denominator of a and -5\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1022 and 4942.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1080\/(-855))\/((-18)\/(-228))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4767861 smaller than 4767847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3\/3 + 70*f**2\/3.\nAnswer: -5*f**2*(f - 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8\/30*129\/43*15\/3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3\/n*n)**(2\/29)\/(n**(-6)\/(n\/(n**(-1\/12)*n))))**(-2) assuming n is positive.\nAnswer: n**(-2189\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*2*sqrt(27))**2 - (2 + sqrt(972))).\nAnswer: -530 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2089045 plus -119.64096?\nAnswer: 2088925.35904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 239*o - 67.\nAnswer: 239","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.41 in -0.3, -17, 7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 m when two letters picked without replacement from {h: 9, r: 1, w: 1, e: 5, m: 1}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 983*b + 2884. Give n(-3).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85867 + 0.09.\nAnswer: -85866.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -65d + -2?\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34\/128105 + 3488939879\/768630. Let w = 4518 - o. Find the common denominator of w and -16\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7, 3, 0.05, 8 in increasing order.\nAnswer: 0.05, 6\/7, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -23 and 1\/24 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2 + 2)*(-4 - 3 + 6) + 2*t - 4*t + 0*t + 40*t + 17*t + 33*t - 30*t.\nAnswer: 56*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 2:06 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a21 + 44?\nAnswer: 5a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - 11*t + 4. Let w be h(7). Suppose 5 = -5*b + w. Solve -3*s = -k - 0*k - 10, -k + b = 4*s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0404 rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 5:18 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -240.6018+0.4\nAnswer: -240.2018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 0*v**4 - 5 + 0*v**5 + 0*v**2 + 14\/3*v**3 - 5\/2*v**6 + 0*v. Find the third derivative of q(y) wrt y.\nAnswer: -900*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 3. Let t be o(-10). Let d = t + -2. Suppose 4*j + 4 + 0 = 0, j - 3 = -4*u. What is the smallest common multiple of u and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20710 by 29.\nAnswer: -20710\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 - 4*n + 2. Let w be d(2). Suppose -w*u = -5*u + 156. Let r = u + 35. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1 - (-27 + -3 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10528*i**5*y**2 - i**4*y + 3*i - 4*y**2 - y + 1 wrt i.\nAnswer: 210560*i**3*y**2 - 12*i**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o - 14*o - 63*o + 946 = -15*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -27 (b) -9 (c) 0.07 (d) 2\/9 (e) 1\/4 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -1a6?\nAnswer: -1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-28)*(-1)\/(-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11540 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -10*j. Let h(o) = 8*o. What is h(n(x))?\nAnswer: -80*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3362975161.\nAnswer: 7, 13, 47, 59, 13327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163881068.4us to weeks.\nAnswer: 0.000270967375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 50*n**6\/3 + 119*n**2\/2 + 19. Find the second derivative of p(m) wrt m.\nAnswer: 2000*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103398 divided by 2721\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 31*c - 9*c + 34*c - 13*c.\nAnswer: -23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 725 and 12557.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.057684 and -0.4.\nAnswer: -0.342316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1923461 and 1065?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(832) + (sqrt(832) + -4*sqrt(832) - sqrt(832)) + sqrt(832)) - sqrt(832))**2.\nAnswer: 40768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 5*g + 1. Let u be r(-6). Suppose 27 - u = 4*k. Find the second derivative of 217*m + 28*m**k - 192*m + 2*m**5 wrt m.\nAnswer: 600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 16 = -2*i. Let b be (i\/14)\/((-2)\/(-20)). Suppose b*k = 4*k + 11. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.1 + 765?\nAnswer: 758.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2421, 4799, 7153, 9471, 11741, 13951, 16089?\n\"Answer: -2*a**3 + 2392*a + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-10*1) + 37\/(-5) + 1443\/2405\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -67?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-40))\/(12\/88)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*x = 495 - 1305 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h**2 - 403*h + 2. Is 30 a factor of z(70)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 6*l**2 - 381*l + 1159. What is p(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186923 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f**2 + 3*f + 3. Calculate w(-3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 449.23 + -454.23. Let l = -2 + 3. Put z, -51, -4, l in decreasing order.\nAnswer: l, -4, z, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = 6*s - 96 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 472572750 divided by 242345?\nAnswer: 1950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 0)*(0*w + 0*w + 2*w) + 309*w - 100*w - 111*w + 2089 - 101*w.\nAnswer: 3*w + 2089","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 195783412 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -49*w**2 - 4131*w - 4068. What is a(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*r + 8. Let o(t) = t**2 - 1. Let c be 15\/4*(-60)\/(-25). Let x(g) = -2*g + 5 - 14*g**2 + c*g**2 + g**3 + 1 - 2. Calculate r*o(f) - x(f).\nAnswer: -f**3 + f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16427 - -16472. Let v = 7 + 350. Calculate the remainder when v is divided by n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/sqrt(3) + sqrt(13) + -2 - (-5 + 1*sqrt(13)))**2.\nAnswer: 6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, v: 5, r: 2, p: 1, i: 6}. What is prob of picking 1 s and 1 v?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -589 + 124 = -5*x. Let i(w) = w**2 + 4*w**2 - 92*w - 6*w**2 + x*w. Suppose 0*d = 5*d - 5. What is i(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94808 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1772629*t**4 + 1004720?\nAnswer: -7090516*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111758 is divided by 440.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, z: 2, l: 4}. What is prob of picking 2 l and 1 q?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61118486 to the nearest integer?\nAnswer: 7818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111120 (base 3) to base 5.\nAnswer: 2431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -0*b + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 = -b + 3*s, 2*b - 4*s - 169 = 599. Is b less than or equal to 4042\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14884855 = 17*x - 3*c, 3*x - 2*c = -3*c + 2626733. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1 + 48*t - 52*t - 2 - 1. Calculate l(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 3:33 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 239*s - 1428. Calculate z(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 65789 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 - -490255?\nAnswer: 490266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -344 + 691\/2. Factor -h*u + u**3 + 1\/2*u**5 + 1\/2 - 3\/2*u**4 + u**2.\nAnswer: (u - 1)**4*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 145 + 11. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 5*i**2 + 7*i - 3. Let l be q(6). Let x = -3 + l. Solve x = -3*g - 12, 16 = s - 4*g - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -340, 4, 1\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29702 is divided by 2459?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -9*f**3 + f**2 + 3*f - 1. Let v be m(-2). Let p = -30 - v. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 + -1 - -2 - (-43 + -13 + 58)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 i when two letters picked without replacement from {i: 3, o: 1, s: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -28.02 and 3.\nAnswer: -25.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 7*s**3 + 0*s**3 - 2 to l*s + v*s**3 + b*s**2 + u and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9196 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-598)\/897)\/((-2)\/(-84)*-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1339*h = -202*h - 16951 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 187 - 172 + 359 - 10*o.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 9*n**2 + 8*n + 75. Let a be x(-9). What is the third smallest value in 11, -5, a?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/5*(-75)\/120 + 2448\/(-128)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 34 = -4*b, -5*b + 5*i - 4 = -24. Let j(l) = -14 - l**3 - l + 6*l**2 - 11 + 23. What is j(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 5:10 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/54 and 85\/21.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7366 and 481226.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 5*m**2 - 5*m + 8. Let w be x(7). Let n = 356\/5 - w. Let o = 0.5 - 0.9. Put n, 1, o in ascending order.\nAnswer: o, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**2 + a + 1. Let i be p(-1). Let z be (-5 - -9) + (-2 - i). Suppose -j + 40 = -3*h, -5*h = z*j - j - 75. Does 20 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -8.8, 0.1, -2\/3, -1?\nAnswer: -8.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 107 - 208. Let i = -18400380.99929 + 18400280. Let g = i - c. What is g rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 38086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 16*o**2 - 37*o + 6. Let p(w) = -w**2 + w - 1. Let f(v) = a(v) + 3*p(v). Let d be f(-17). Which is smaller: 2 or d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 134290962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64732, -62466, -60186, -57886, -55560, -53202?\nAnswer: -50806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 5*o**2 + o - 2. Let t be a(5). Suppose t*s - s - 36 = 0. Let u = s + -3. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*h + 5 = 0, -5*f + 2*f = -2*h + 22. Suppose 1 = 3*z - 5. What is the biggest value in z, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -292?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 70583 divided by -57?\nAnswer: -70583\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 8 + 2. Let c(q) = 0 - 4*q**2 + q**3 - 1 + 2 - 8 - 3*q. Calculate c(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 22*r**2. Suppose 3*y = -4*a + 22, 0 = -2*y + 3*a + 9 + 17. Let l(q) = -5 + 2*q + 15 - y. Give l(c(f)).\nAnswer: 44*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4\/5 + 198314*k**3\/5 - 9836670813*k**2\/5 + 452172181748*k\/5 - 5198773926724\/5 = 0. What is k?\nAnswer: 23, 99134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 446181027 to the nearest integer?\nAnswer: 21123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 3*s = i + 66, 2*i + 2*i + s = -i - 18 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from nfqnnfnnfnf?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(37 + 7572\/(-204))?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 2*c - 37, 4*x = 2*c - 3*c + 26. Let l = c + -4. Suppose a - l = 18. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31541.9 * -0.4\nAnswer: 12616.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 52*r**2 - r + 1. Let q(b) = 6*b. Suppose 0*w - 3*w = -9. What is the remainder when l(1) is divided by q(w)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -378*q**5 - 108*q - 196*q + 27*q wrt q?\nAnswer: -7560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 3*b**2 + 8*b**2)*(-9*b + 4*b - 6*b).\nAnswer: -66*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-2))\/(432\/(-540)*15\/18)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**3 + 7*z**2 + 42*z + 5. Let y(a) = -3*a**3 - 10*a**2 - 67*a - 7. Let b(m) = -8*c(m) - 5*y(m). Calculate b(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 15*u + 37. Determine m(-16).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5995 and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1403 - 1630311?\nAnswer: -1625605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -66698653 and 582337.\nAnswer: -66116316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1058 = -6*i + 628. What is the remainder when i is divided by 58?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 0 + 1\/4*g**4 + 0*g - 5*g**2 + 1\/2*g**3 - 1\/30*g**5. Determine a(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d = 3*d - 32 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21977685 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/(-9))\/((-1)\/(-3)). Suppose 4*x = 0, -s + 5*s = d*x + 236. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 - 155*p - 146*p + 428*p - 158*p.\nAnswer: -31*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3\/4 + 3*f**2\/2 - 1445*f\/4 - 867\/2.\nAnswer: (f - 17)*(f + 17)*(5*f + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a - 11. Let b(f) = 4 - 13*f + 31*f - 5*f - 11*f. Let k(s) = -11*b(s) - 4*x(s). Let r(q) = 43*q. Determine r(k(g)).\nAnswer: 86*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06132832 rounded to 5 dps?\nAnswer: 0.06133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 2*k**2. Let l(u) = 10*u**3 + 965*u**2 - u. Determine l(i) + 11*m(i).\nAnswer: -i**3 + 987*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -1. Let l = -217 + 188. Let t = 32 + l. What is the smallest value in g, 0.2, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -899793.3 times 0.05?\nAnswer: -44989.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**4 + 7*v**3 + 17*v**2 - v - 5. Let n(b) = -2*b**4 - 3*b**3 - 9*b**2 + b + 3. Let c(g) = -3*m(g) - 5*n(g). Factor c(y).\nAnswer: -2*y*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**5*n + 200*a**3*n + 131*a*n wrt a.\nAnswer: -20*a**3*n + 1200*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 20 = 0, -5*x + 5*d - 10 = -0. Suppose 4*u + 3*n = -6*n + 293, -3*u = x*n - 216. Calculate the remainder when 257 is divided by u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((12 + -13 - 9) + 11 + -22).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 666\/54 + (-14 - -2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - 45778\/2068)*(8\/6 + 0)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3612469 and 18278.\nAnswer: 18277.6387531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1310, -4595, -14436, -28213, -45926, -67575?\n\"Answer: -1968*r**2 - r + 3279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - 101?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*z + 9*z + 33 - 16*z**2 + 2*z**4 - 1 + z**5 - 8*z**3.\nAnswer: (z - 2)**2*(z + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 5*s**2 - 3*s - 3. Let b(q) = -5*q**2 - 2*q - 2. Give 3*b(f) - 2*h(f).\nAnswer: -2*f**3 - 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = b + 22, 2*b + 0*a + 54 = -6*a for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**3 + 2*d**2 - 7. Let p(y) = y**3 + y**2 - 1. Let w(t) = -4*p(t) + z(t). Let m(b) = 6*b**3 + b**2 + 2. Let f(k) = -6*m(k) - 5*w(k). Give f(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**5\/90 + n**4\/27 + 4*n**3\/27 - 8*n**2\/9 - 7*n. Solve t(z) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4305 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7*t + 4*g - 40 = 0, 3*g = 0. Suppose t*m + 74 = 9*m. What is the greatest common divisor of 37 and m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/22 + 0)*-36. Let z(v) = -v**3 + 39*v**2 - 37*v - 39. Let y be z(38). Which is smaller: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480 is divided by 127.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 133*l**6 - 50*l**2 - 2*l wrt l?\nAnswer: 15960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + -4 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(7\/4)*w**(5\/3))\/(w**(2\/9)\/w*w**(2\/3)))**(-2\/73))**(1\/4) assuming w is positive.\nAnswer: w**(-127\/5256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 18*d**2 - 22*d - 3. Let z be y(19). Is z smaller than -60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-154) - (-14 - (-5460)\/385)) + 115\/(-7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 - -67. Let l be 29 + o\/20*(-5 - 0). Let k = -24 + l. Solve 6 + 0 = k*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1)*p*p)\/(p*p**(1\/6)*p)*(p\/(p**2*p*p))**(2\/7))**(-1\/43) assuming p is positive.\nAnswer: p**(-41\/1806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 - (2 + -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1428 - 472. Let y = o + -652. Is 38 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -109283\/230919 - -1\/7449. Let d = -6\/31 + g. What is the nearest to d in -5, 0.2, 4\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from ggggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -34. Suppose 2*r - 51 = -11. Calculate the smallest common multiple of r and v.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3007*d*r**3 + 4264*r**3 wrt d?\nAnswer: 3007*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26\/125 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.4 + 9.5. Which is the biggest value? (a) 1 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by -96.\nAnswer: 11\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 9*p - 20. Let o(t) = -2 - 2 - p*t + 0*t + 8. What is o(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2. Let y(n) be the second derivative of n**7\/630 + n**4\/4 + n. Let i(s) be the third derivative of y(s). What is q(i(c))?\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 178 + -80. Suppose 5*p - g = -18. Suppose -8 = -c - u + 1, -4*c - 2*u + 26 = 0. What is the highest common factor of p and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 27428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 66*m. Let f(l) = 61*l - 30. Let g(a) = 81*a - 39. Let c(r) = -13*f(r) + 10*g(r). Determine p(c(z)).\nAnswer: 1122*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 2\/13, 1\/3, -3\/5, 1\/8 in descending order.\nAnswer: 1\/3, 2\/13, 1\/8, -2\/17, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b - -207040?\nAnswer: 20708b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -894, -911, -928?\nAnswer: -945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v - 10. Let w be b(8). Suppose 2*y = -y + w. Solve 3*j + y*n - 15 = 0, -n + 9 = 2*j - 0*n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*c - 79 = -3*g, -3*c - 87 = -4*g. Solve -8*v + g = -2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/(b**(-3\/5)*b*b))*b*b**6)\/(((b*b**(-7))\/b)\/(b\/(b**7*b)*b)) assuming b is positive.\nAnswer: b**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q. Let u(b) = -b**2 - b. Let m(y) = -2*u(y) - 2*w(y). Let p(f) be the second derivative of 3*f + 0 + 1\/2*f**3 + 0*f**2. What is p(m(x))?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 127635 and 5715?\nAnswer: 1905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 2:06 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*y**5 + 7*y**3 + 272932*y**2 + 2*y + 72664997?\nAnswer: 200*y**3 + 42*y + 545864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1114, 751, 388, 25, -338, -701?\nAnswer: -1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 2. Suppose -3 = s + 1, 26 = g - k*s. What is the second derivative of 2*c - g + 2*c**2 + 6 wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3\/2 + 38099*k**2 - 1451838545*k\/2 + 5804916100 = 0. What is k?\nAnswer: 8, 38095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 8 = 0, 4*z + 5*f = 2*f + 38. Suppose 2*m + 6 = 0, -4*h + 2*m - 2 = -z. List the prime factors of -2 - (h - 16\/2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1103025 and 0.4?\nAnswer: 1103025.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d + 3 - 5*d**2 + 4*d**2 - 2. Let c be k(-4). Let f(n) = n**2 + 7*n + 8. What is the units digit of f(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a - 14. Let l(o) = 19752 - 6588 - 6582 - 6583 - o. Give 18*l(g) - 2*s(g).\nAnswer: -2*g + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 10.1. Which is the nearest to z? (a) 1 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61892.56 rounded to the nearest 10?\nAnswer: -61890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + -5 + -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.50999614 - 1.51. Round c to 7 dps.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 10*p**2 - 7*p + 70. Let x be n(10). Factor 3\/4*g**3 + 0*g**2 + 0*g - 3\/4*g**4 + x.\nAnswer: -3*g**3*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642 is divided by 15390\/675 - 19\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 2. Let x(j) be the second derivative of j**5\/20 - j**4\/4 - 2*j**3\/3 + 2*j**2 - 8*j. Let n be x(q). Let h(g) = g - 5. Give h(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/7 in 2, 51, -0.07, -2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1174*f**2*s**3 - 1317*f**2 wrt s?\nAnswer: 3522*f**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/9 (b) 0.1 (c) 404 (d) -2\/3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1 - 6)\/(15\/20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**4\/13 + 202*h**3\/13 - 4986*h**2\/13 - 6426*h\/13 + 31212\/13 = 0?\nAnswer: -3, 2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**9\/504 + 11*s**5\/30 - 4*s**2 + 4*s. Let b(w) be the first derivative of h(w). Find the third derivative of b(v) wrt v.\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 98942626?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 919576588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5539 and 764.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/336*4)\/((-9)\/12).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -51613?\nAnswer: 51617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1618 = w, -4*w + 6*w = -4*s + 2158. Let n = -530 + s. Let k be (66\/4)\/(1\/6). What is the greatest common divisor of n and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 1 - 11*a + 10*a**3 - 13*a**3 - 4*a**2 + 4*a**3 + 0. What is the remainder when 47 is divided by t(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/7)*h*h\/(h*(h\/(h\/((h*h**7)\/h)))\/h*h)*h**(-26\/7)\/(h*h**(-11\/7)) assuming h is positive.\nAnswer: h**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -8*p**3 + p**2 - 11*p + 10. Let f(d) = -9*d**3 + 2*d**2 - 12*d + 11. Let u(s) = 4*f(s) - 5*o(s). Let g = 421 - 417. Is u(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 9*p - 7. Let z be l(-6). Let k = z + 35\/3. What is d in k*d**2 + 34\/3*d**3 + 56\/3*d + 16\/3 + 2*d**4 = 0?\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -5*c**3\/3 - 65*c**2 - 1482. Let d(x) = -2*x. Calculate d(l(n)).\nAnswer: 10*n**2 + 260*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1312? (a) 0 (b) 2 (c) -163.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 17768*s + 5*s**2 - 2 - 29 - 27 - 17769*s - 2*s**3 in the form w*s**3 + z*s**2 + t*s + v and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 397215?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -2. Let y(v) = v**3 - 3*v**2. Let q be y(3). Suppose -7*j + 21 - 7 = q. Sort j, 5, h in decreasing order.\nAnswer: 5, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 7*r**4\/12 + r**3\/2 + 2*r**2 - 3*r. Calculate the remainder when i(-3) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/11)*i**(-1\/14))**(-10)*((i*i**0)**(1\/10))**(-3\/5) assuming i is positive.\nAnswer: i**(-4481\/3850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 379819?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58.9 - 65. Let j = m - -6. Let s = 3433\/6 + -572. Which is the third smallest value? (a) -5 (b) s (c) j (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36*-1)\/(76\/(-38)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56.4 - -56.4005785. Round j to 5 dps.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(-1\/38)\/y)*(y**(-38)*y)\/y assuming y is positive.\nAnswer: y**(-1367\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100210202022 (base 3) to base 10.\nAnswer: -724445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4\/7 - 6\/7*u + 2\/7*u**2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160507, -321008, -481507, -642004, -802499, -962992?\nAnswer: -1123483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 11000?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 - 19*j + 14. What is o(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 9:18 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**2. Let h(f) = -26137*f + 5. Calculate h(r(m)).\nAnswer: -104548*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*h**2 + 462*h - 462*h)*(-11 - 13 + 15).\nAnswer: -585*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3350 is divided by 478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 24112 (base 6) to base 2\nAnswer: 110110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -5*s**2\/2 + 281*s - 486. Let p be r(55). Let w(k) be the second derivative of -k**4\/12 + 4*k**3\/3 - 5*k**2\/2 + k. Give w(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -110040023?\nAnswer: 110040021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5836095141?\nAnswer: 3, 23, 7523, 11243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xeebnese. What is prob of sequence bse?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 868501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3509 in -9, -2\/11, 0.1, -0.5, 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-8) - (26\/208)\/(1\/(-2)). What is the third biggest value in -4, 3, f, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 338078124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/279 and 38\/1829.\nAnswer: 16461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4.55 = 24692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -344*r**2 + 54*r**2 + 6*r**2 - 3*r - 365*r**2 to the form h*r + i + z*r**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5981 divide 366816783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 472 (b) 12\/7 (c) 0.3 (d) 2\/13 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from mpppppmp?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10)*(-690)\/828.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1014303 + 0?\nAnswer: 1014303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(238*t + 1 + 206*t + 1) - 2*t + t - 2*t.\nAnswer: 441*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 12. Suppose -4*d + c*d + 80 = 0. Calculate the highest common factor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {g: 13, z: 1, a: 3, c: 3}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 5:05 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.051, -4, -6\/11, 0 in decreasing order.\nAnswer: 0.051, 0, -6\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 220 and 71480.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128534 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -212211022?\nAnswer: -212211110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1700) - (1*sqrt(1700) - sqrt(1700)))*-6 + sqrt(1700) + -2 + 4)*-4)**2.\nAnswer: -3200*sqrt(17) + 680064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*sqrt(2432) + sqrt(2432) + sqrt(266)\/(sqrt(35)\/sqrt(5))))\/(sqrt(162) + -1*sqrt(162) + sqrt(72)*-2).\nAnswer: 7*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 12 + 0)*((0*t - 2*t + 0*t)*(2 - 2 + 2*t) + (-3 + 3 + 7*t)*(5*t - 8*t + 6*t)).\nAnswer: 221*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1209 from 0.0325209793068.\nAnswer: -1208.9674790206932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6 or 13?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 11:04 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 15*s**2 + 2*s + 16. Let w(x) = -2*x**2 + 23*x - 45. Let l(i) = 3*i. Let o(k) = -2*l(k) - w(k). Let m be o(12). Give d(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115 + -68. What is the remainder when y is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -64a753 + 3?\nAnswer: -64a750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 5\/2746881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and (64 - (7 - 1)) + -4?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 206327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*d, -4*w = -d - 43 + 27. Calculate the least common multiple of (-8)\/12*15\/(-2) and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (32\/(-28))\/(-4)*7. Let j be 0 - (1 + 0 - -2). Is (j + 18\/4)*z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 - -118. Suppose 0 = v - 3 - 0. Suppose -b = v*a - 5*a. Is a a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**0*c)**(-37)\/((c**(2\/3)\/c)\/(c**7\/c)) assuming c is positive.\nAnswer: c**(-203\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2392115*n**3*u**2 - 2*n**3*u - 338*n**3 - 30*n*u - 4*u - 3 wrt u.\nAnswer: -4784230*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 - -46. Suppose f*h - 8 - 1 = 0. Let y(n) = n**2 + n - 1. Let r(g) = -7*g**2 - 7*g + 7. Let b(s) = 4*s - 2. Let j be b(2). Determine h*r(x) + j*y(x).\nAnswer: -x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000807 to 5 dps.\nAnswer: 0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-6)*1*288\/(-240).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4731 divide 22877026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - q = -20. Let b(m) = 2600*m**2. Let t be b(q). Round t to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**9*b**1)**32\/((b**(-2\/5)*b)**(-2\/19))**(1\/12) assuming b is positive.\nAnswer: b**(-42559\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -42a73?\nAnswer: 42a76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11442, 22874, 34304, 45732, 57158?\nAnswer: 68582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -51220100 rounded to the nearest one hundred thousand?\nAnswer: -51200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2\/15 + 628*c\/3 - 259760\/3 = 0. What is c?\nAnswer: -1910, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67327 or -134655\/2?\nAnswer: -67327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -301 - -301.1. Let y = -1811 - -1807. Which is the nearest to -2\/5? (a) -5 (b) m (c) 2 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, k: 4}. What is prob of picking 2 y and 1 k?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*k - 513 - 5*k**4 - 20*k**4 - 63 - 522*k**5 + 25*k**4 wrt k.\nAnswer: -10440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -1\/7 (c) -49\/6 (d) 88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4002.552 + 3963. Let t = -0.248 + h. Round t to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c - 84. Let p be o(12). Let h be 98\/p + -1 + (-21)\/(-18). Let f(w) = w**3 + 7*w**2 - 10*w - 10. What is f(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1114 or -1112?\nAnswer: -1114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -183257?\nAnswer: 5\/183257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 10) + -10 + -1 + (-5 - 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 8, 2, -1.54?\nAnswer: -1.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(-138) - 2\/6\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 0. Let h be 1 - (444\/(-280) + 2). Let n = 3\/10 - h. Which is smaller: f or n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -726, -1642, -2496, -3258, -3898, -4386?\nAnswer: -4692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((4\/(-240))\/(-1)). Let j be y\/(-80)*((-8)\/3)\/(-1). What is the nearest to j in 2\/3, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*r**2 - 98 + 98 - r as v*r + k*r**2 + b and give k.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, q: 2, k: 3, t: 5, o: 2}. Give prob of sequence qk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21020212 - -221012?\nAnswer: 22012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 750961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1677 or 1682?\nAnswer: 1682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 236290176487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - -3 - ((-1026)\/(-24) - 28).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16176 + -16247.23. Let i = s - 1.77. Let x = 73.2 + i. Which is smaller: x or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 19.5. Which is the third smallest value? (a) -3 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0.19999935. Round z to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 510896 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316, -1378, -3198, -5770, -9088?\nAnswer: -13146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 13 + 4)*(-3*u + 4*u - 2*u) - 242 - 44*u + 242.\nAnswer: -83*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.15 - -5.48. Let p = 1.75 - a. Round p to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8684 is divided by 68.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26\/123 + -5513\/10578. Find the common denominator of q and (-215)\/150 + (-2)\/3.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -846, -1691, -2536, -3381, -4226, -5071?\nAnswer: -5916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*v + 43413 = -16452. Is v smaller than 920?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 25*t**4\/12 + t**3\/3 - t**2\/2 + 3*t. Let g be c(1). What is the units digit of (39\/13)\/(3\/g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 3. Let j = -5 + 0. Let w be t(j). Factor -1\/4*h**w + 1\/4*h + 0.\nAnswer: -h*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**9*z))\/z*z*z)\/z**(-9) assuming z is positive.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12554327 + 5?\nAnswer: 12554333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59.61 - 59.604455. What is s rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -78. Suppose -5*m + 5*z = 115, -z = -5*m - 5*z - 160. Let n = m + k. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-172)\/16 - (-12)\/1)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 38021 * -1094.\nAnswer: -41594974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09234 <= -2\/427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1240940731*f**3*g - 7*f*g - 99*f + g - 2946 wrt f?\nAnswer: 7445644386*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -17218.9452 to the nearest one hundred.\nAnswer: -17200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -483 - -4207?\nAnswer: 3c74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/9)\/((-27)\/72).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 9:40 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15303246 and 2794.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + p + 11 = 2*p, -4*p - 7 = -5*u. Let v(m) = 0*m**3 - 4*m**2 - 2*m**3 + 3 + u*m + 2*m - 3*m. Let y be 2 + 15*4\/(-12). Calculate v(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/44 and -1 + (-30)\/(-25) + (6479\/(-1188))\/19.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-4))\/(5\/60*21). Which is the nearest to y? (a) -1\/3 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*u - 8*u. Suppose u = 3*l - 2*k - 39, 2*l - 84 = -3*l - 3*k. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12005, -23832, -35559, -47186?\nAnswer: -58713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 8 - 16)*(k + 2*k**5 - k) - 5*k**5 + 2*k**5 + k**5.\nAnswer: -4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-2)**2*6 + sqrt(108).\nAnswer: 6*sqrt(3) + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 922*d**2 + 933*d**2 - 1854*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (11 + -39 + 15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2160.2 times 1?\nAnswer: -2160.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -85*o**3\/3 - 14. Let i(v) = 3*v. Calculate k(i(s)).\nAnswer: -765*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s - 356 = -3*x, -4*s + 572 = 5*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**7\/120 - r**6\/360 + r**5\/120 + 17*r**4\/8 - 2*r**2 + 17. Let b(p) be the second derivative of i(p). What is b(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*l + 81*l + 66*l = 192*l + 2520 for l.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25465 is divided by 6151?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 3*h - 5*h)*(1 + 3 - 2) + (2 - 1 + 1)*(3 - 1 - 7)*(2*h + 0 + 0) to w*h + m and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -38 + (-24 - -53) - ((-4 - 31) + 2)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38\/7 in 28, -0.3, 5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**5 - n**5 + 2*n**5)*(-1 + 10 + 0)*(-2 + 2 + 1).\nAnswer: -18*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6473686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 522439*t*z + 34405*t - z**3 + 13 wrt z.\nAnswer: 522439*t - 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 11*d**6\/60 + d**5\/3 - 27*d**2. Find the third derivative of j(q) wrt q.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -19. Let f(y) = -y + 5. Let x be f(0). Let h = 7 - x. What is the greatest common factor of h and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -703709.661 to the nearest 1000.\nAnswer: -704000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11620 and 135954.\nAnswer: 1359540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184843723.\nAnswer: 19, 9728617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 3. Let y be s(6). Let w be (-4)\/2*y\/(-2). Solve b**3 - 2*b**2 + b**2 - w*b**3 + 3*b**3 = 0 for b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -236450, -236441, -236432?\n\"Answer: 9*x - 236459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from rpuuuuffuf?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237\/79*3\/1368*4.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19181819 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l + 16. Let t be n(-10). Sort 1\/9, t, 0.\nAnswer: t, 0, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*d + 9, 2*o = -3*o + 2*d + 17. Suppose 0 = -5*a - 3*u - 105, a - 4*u + 17 = -27. Let j = a + 28. Solve o*q = 5 + j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighteenths of a week in minutes?\nAnswer: 3920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.87 + 0.07. Let r = 1.8 + k. Which is the nearest to r? (a) -3\/7 (b) -0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 3 (c) -1\/6 (d) 1 (e) 0.49 (f) 57\/79\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1451309554 to the power of 1\/2, to the nearest integer?\nAnswer: 38096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9361 divided by 407?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -28\/6999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u + 19*u - 288 = 0. What is the remainder when u is divided by 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-60)\/25)\/(68\/(-935)). Solve -4*p + 29 = -n*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3243693.\nAnswer: 3, 1081231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*r - 52*r + 36*r = 204 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101901180 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*t**4 - 2975*t**3 - 44673*t**2.\nAnswer: 96*t - 17850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9901\/10 - 1941\/2. Let v = t - 413\/30. Find the common denominator of v and 77\/21 + (-12)\/(-27).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.8243195 to 0 dps.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 6*g + 2. Calculate the remainder when (-205 + -2)*g*8\/48 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -48 + 50?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-21))\/((-955)\/(-2865)). Let o = -33 + 18. Which is the nearest to o? (a) -2 (b) x (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -270943*a**6 - 2*a**4 - 32*a**3 - 2392*a**2 + 295*a + 6.\nAnswer: -32513160*a**3 - 48*a - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-42)\/(-21)) + -24.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8128, -32487, -73092, -129943, -203040, -292383?\nAnswer: -397972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -130?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289908 + 101202 + 67473 = -7582*s - 3919 for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8 and -536446993488.\nAnswer: -536446993480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + -16 + -3 + 41 + -52?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138760 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -30 + 13032?\nAnswer: 13002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4078 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 8150, 1, -39 in descending order.\nAnswer: 8150, 1, -2, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**3 + 10*y**2 - 8*y - 13. Calculate the smallest common multiple of a(-5) and 30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3*(-1 - 2). Let j be 1 + (-3*b)\/3. Let k be 2 + -2 + 1 + j. Solve -3*m + 12 = -k*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -6965?\nAnswer: -1\/995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 28, 4\/9, 6\/5, 0, 0.4, 2, 3714?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -443576*r**4 + 493109.\nAnswer: -1774304*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 - 2*n + 2. Suppose -c = -4*y + 9, 3*y + 0*y - c = 7. Determine l(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -2*f**5\/15 - 11*f**4\/12 + 7*f**3\/9 + f**2 + 1054. Determine p so that i(p) = 0.\nAnswer: -6, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 15. Suppose d*w + 2*l + 118 = 16, 3*w + 156 = -2*l. Let s = w - -93. What are the prime factors of s?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 141543. Let n(z) = -9*z. Give w(n(q)).\nAnswer: -81*q**2 - 141543","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 32.106 and -223.86?\nAnswer: 255.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i = 30*i - 65131. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzgf when four letters picked without replacement from {f: 1, g: 11, z: 3}?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u**2 + u**3 - 27323 + 3*u**3 - 2*u**3 + 283*u + 27323.\nAnswer: 2*u**3 - 13*u**2 + 283*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51.4 * -3.\nAnswer: -154.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 9*s + 14. Let j be c(10). Let y(w) = -4*w + 13*w**2 + j*w - 15*w**2. Let f(n) be the first derivative of -n**3\/3 - 1. Give y(f(o)).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 1584 - 409281*a + 204128*a + 204369*a - 4*a**2 = 0.\nAnswer: -198, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from koccbwbcbo. Give prob of sequence kob.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s + 4. Let f be y(7). Suppose -f = 3*c - 5*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 1836?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 5*g + 18, 0 = -5*z + 3*g + 30 - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**5\/120 + c**4\/24 - c**3\/6 + 3*c. Let h(w) be the second derivative of g(w). Calculate h(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -27. Is 13 a factor of (-2)\/(-1)*1844\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**3 + 3*d + 1 + 3*d**3 + 2*d**2 - 2*d**4 to o*d**2 + g*d + i + y*d**4 + n*d**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 261, 1100, 2499, 4452, 6953?\nAnswer: 9996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 5 + (4 - 6). Sort -3, 4, n, 3 in increasing order.\nAnswer: -3, 3, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-2\/5))\/m**(-1\/10))**(-2) assuming m is positive.\nAnswer: m**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 206024 and 392.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 4*p + p)*(3 - 3 + 1)*(644 + 329 + 941).\nAnswer: 3828*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.5 (b) -0.4 (c) -0.3 (d) 0.079 (e) -116 (f) 1\/4 (g) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/7*28\/1. Let v be 20\/u + (-3)\/6. Is v bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**4*r**3 - 54*m**4 - 2*m**3*p*r - 7*m**2*p*r**3 - 7*m**2*p*r**2 + 2*m**2*p wrt m?\nAnswer: 48*m*r**3 - 1296*m - 12*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002149066951 to five decimal places.\nAnswer: -0.00215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -b - 3*g, -3*g + 7 = 4*b - 8*g. Suppose 4*n - 314 = -3*q, 238 = b*n - q + 2*q. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1911\/(-84) + 21 + 1215\/4 is divided by 296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*i - 2*l, 2*l - 22 = 5*i. Let o(v) = -v**2 - 6*v + 4. Let u be o(i). Solve -8*d + u*d = 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*x - 5*k = 306*x - 43, 5*x - 115 = -5*k for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82505.736 minutes in days?\nAnswer: 57.29565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*z**4 - 4*z**2 + 4*z**2 - 17*z**4 + 6 wrt z.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 + 12616*q**3 - 3602292*q**2 - 10006733648*q - 2516525358736.\nAnswer: -4*(q - 1978)**2*(q + 401)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**4 + 0*r**4 - 2*r**4)*((1 - 1 + 1)*(-3*r + 2*r + 4*r) - 2 + 2 + 5*r).\nAnswer: -48*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0.2. Let j = q + -4.2. Let z = -17 - -52\/3. Which is the third biggest value? (a) -1 (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 13 + 73*o.\nAnswer: 73*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 179, 294, 397, 494, 591, 694, 809?\n\"Answer: q**3 - 12*q**2 + 144*q + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 276683.8l in millilitres?\nAnswer: 276683800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -94*y**5\/5 - 131*y**4\/24 + 2*y**3\/3 - 445*y**2. Find the second derivative of v(r) wrt r.\nAnswer: -2256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 8626828?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 4\/((-7)\/833*2\/(-23))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 5*n - 3. Let b be o(-6). Suppose -2*c = 2*m - 0*c, 0 = -m - b*c - 6. What are the prime factors of m\/15 + 224\/5?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 5. Let o be s(8). Suppose 60 = 4*z + 6*q - o*q, -5*q - 40 = -5*z. Solve -g - 2*g = z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((9\/(-4))\/(-1))\/(6\/16))\/((-3021)\/20140)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**2\/2 - 4*l - 11. Let s be q(-7). Differentiate 7 + 7*n**2 + s*n**2 + 6 wrt n.\nAnswer: 20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 7*d**2 - 7*d. Let p be b(6). Let f(u) = -2*u + 3. Let v be f(p). Solve 6*o - o = -v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115141.287 + 114738. Let t = 404 + g. What is t rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 2\/9 (c) 0.067 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7138\/5 - -1438. Let m = b - 58\/5. Which is bigger: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 21963182.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(500) + (-5*sqrt(500)*-1)**2.\nAnswer: 10*sqrt(5) + 12498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-seven fifths of a millennium?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*v**3 - 11*v - 30*v**3 - v**4 + 2*v**2 to p*v**3 + m*v**2 + j*v + f*v**4 + w and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22 - -4?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(-267 - 230 - 841)*(3*f - 2*f + 0*f + (1 - 4 + 1)*(-f + f + 2*f) + f + 0 + 0) to the form t + z*f and give z.\nAnswer: -2676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 (base 9) in base 15?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1178, 1175, 1170, 1163, 1154, 1143?\n\"Answer: -x**2 + 1179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/234*(-1233)\/(-822)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 94a0 + 50?\nAnswer: 9530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -15, -2 in descending order.\nAnswer: 5, -2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 303032132 (base 4) in base 2?\nAnswer: 110011001110011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 18105*w - 18105*w.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -129*n - 57*n + 41*n. Let b(m) be the second derivative of -m**4\/12 - m + 749. Give p(b(a)).\nAnswer: 145*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - ((-2)\/4 - 0). Let o be ((-84)\/525)\/(12\/10). Let w = 730.2 + -730. What is the nearest to b in 5, o, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -280 (base 9) in base 3?\nAnswer: -22200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**2\/3 + 13393*s\/3 - 53588\/3 = 0.\nAnswer: -13397, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 6207187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 22 = 4*r + 5*b, -r = 2*b - 14. Let c = -13 - -17. Let h be 0 + (1 + 1 - 0). Solve -z - r = -5*x, 5*x - h*z = c*x - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-98)\/(-14 + 23 + -10). Calculate the greatest common divisor of x and 2016.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t + 5. Let b(v) = v - 3. Let x(n) = 8*b(n) + 5*y(n). Suppose -32 = 22*m - 18*m. Let k be 23\/(-6) - m\/(-48). Determine x(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**(-2))\/o*o)\/(o*o**(3\/4)))\/(o**0\/o*o\/o**(-1\/7)))**(-1\/14) assuming o is positive.\nAnswer: o**(81\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 15 = -3*i, 0 = -2*i + 3*p + 2*p + 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 106618 divided by 2\nAnswer: 53309","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(588)\/sqrt(4) + (sqrt(24)\/(sqrt(88)\/sqrt(11)) - sqrt(3)).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*((((v*((v*v*v**(-17))\/v)\/v)\/v)\/v)\/v)\/v*v*v**4 assuming v is positive.\nAnswer: v**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmrmrmrxwxxmwr. Give prob of sequence mrm.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 108 - 231. Let z = 123.2 + r. Which is the closest to -3\/8? (a) -4 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 116?\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.74 and -2?\nAnswer: 27.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)*j**(2\/5))**(-1) assuming j is positive.\nAnswer: j**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 5, z: 3, d: 1}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**5\/60 + w**4\/4 - w**3\/3 - 41*w**2. Let r = 31 + -20. Calculate the remainder when r is divided by l(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -6. Suppose -100 - 40 = -h*p. Calculate the remainder when p is divided by (-28 + 1)\/(21\/(-14)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from drudduddrrr?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/17 - 106092*q\/17 - 1273392\/17 = 0.\nAnswer: -12, 53058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122862.\nAnswer: 2, 3, 20477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7095441719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28373.\nAnswer: 17, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-261)\/(-44457)*(5 - (-6)\/(-18))?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*a**5 - 49704*a**4 + 13348995*a**3\/2 - 61675599*a**2 - 26699526*a + 247497660 = 0 for a.\nAnswer: -2, 2, 10, 2031\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Does 3254 divide 363924106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 0.1 (c) -2\/5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 6, -5, 74671.\nAnswer: -8, -5, 6, 74671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5223*z + 2446. List the prime factors of o(4).\nAnswer: 2, 7, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from bwb?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5926563829.\nAnswer: 107, 1223, 45289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65177072 divided by -16294268.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2, 14840, -0.51 in descending order.\nAnswer: 14840, -0.1, -0.51, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/80 and 53\/2016.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 3*z + 1. Let q(x) = 2*x + 1. Let a(u) = u**2 + 7*u + 9. Let n be a(-4). Determine n*q(h) + 2*s(h).\nAnswer: 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -y + 3*y. Suppose y*i - x = 15, -3*x + 4 - 42 = -5*i. Suppose 0*z = u - 4*z + 13, -5*z + 20 = 0. Calculate the lowest common multiple of u and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 0.2 (c) 18\/119 (d) 2\/17 (e) -4 (f) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 231573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - (-3 + 1)) + 46 + -129 + 83?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.68675 meters in millimeters?\nAnswer: 49686.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23, 66, 155, 314, 567, 938?\n\"Answer: 4*z**3 - z**2 + 18*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 743735 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -w + 2849. Let y(m) = 394*m + 2. Let l be y(-2). Let q = w - l. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5984581 is divided by 1448.\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93.7 + -94. Sort 86, 2, s in ascending order.\nAnswer: s, 2, 86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 - 16*a + 135. Let z(b) = -2*b - 8. Let w be z(-10). What is the hundreds digit of h(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*p**2 + 20*p**2 - 151*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-21))\/((-6)\/(-14)). Is j smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**46*b*b**(4\/13))\/(b**(7\/8)*b\/(b*b**(11\/2))) assuming b is positive.\nAnswer: b**(5401\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2274 (base 8) in base 15?\nAnswer: -55c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17280 and 37935.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1554 + 1573. Solve -w*i = 9 - 47 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 50 - ((-11 + 1 - 7) + 18)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -349\/885 + -1\/177. Let y be (2\/28)\/(2\/(-4)). What is the second biggest value in 0, u, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10d2 - a1c2?\nAnswer: -b2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {z: 8, w: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27.5 + -210.5. Let l = b - -237.737. What is l rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 2952 - 558 = 0. Let j = 431 - i. List the prime factors of j.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(441)*1 + (sqrt(90) - (sqrt(90)*1 - sqrt(90)))\/sqrt(10))\/(((sqrt(30) - 3*sqrt(120) - sqrt(30)) + sqrt(30))\/sqrt(10)).\nAnswer: -8*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 32432135?\nAnswer: 32432140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 102098342 to the power of 1\/4, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 2*i**2 + 3*i - 2. Let r be l(2). What is the third derivative of r*z - 4*z**2 + 3*z**6 + 2*z**6 - 4*z wrt z?\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 + 6*u. Let n(q) = -q. Let v(z) = -6*n(z) - t(z). Let m(l) = 5 + 4*l**2 - 1 - 4. Give v(m(j)).\nAnswer: -48*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, 10, 0.1, -1\/7, -2 in ascending order.\nAnswer: -2, -1\/7, -0.12, 0.1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -2 - 1516\/1012. Let l = -517762\/1265 - q. Let p = l - -411. Is p equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**6\/420 + v**5\/210 - v**4\/84 - v**3\/21 + 9*v**2 - 21. Let k(w) be the second derivative of o(w). Solve k(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/50 - 11\/75. Let l = 19\/30 - q. Let w = -1620.5 - -1620. Which is the second smallest value? (a) -0.4 (b) w (c) -4 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1030664.\nAnswer: 2, 128833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/8*(-2208)\/(-2070))\/((-2)\/39).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 2. Are g and -8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*q**3 + 11*q**3 + 69*q + 2 - 68*q - 4*q**2 as k*q**3 + t + d*q**2 + x*q and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*s, -t - 5*s = 1 - 60. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 23*s + 31*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*f**5 + 2*f - 2*f + (-3*f**3 + f**3 + 3*f**3)*(2*f**2 + 0*f + 0*f) - 2*f + 2*f**5 + 2*f.\nAnswer: -19*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 139.89 + -140.89. Let h = -0.9 - -1. What is the nearest to a in 0.11, h, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4 = -2*p + 8, 0 = -3*m + 15. Let k(h) = 72*h**2 - 34*h**2 + 9*h - 45*h**2. Let a(w) = 3*w**2 - 4*w. Determine p*k(u) - 9*a(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2))**(-7\/2)\/(k**2)**26 assuming k is positive.\nAnswer: k**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/4*(-192)\/(-36) - 0 - -36.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131 + 33. Let r = 41 + o. Let d = r - -60. Solve 0 = b + 2 + d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 6*p**2 + 4*p - 2. Let m be c(-5). Let i be 33\/27 + (-2)\/9. Suppose i = -m*w + 7. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -9. Let v be ((-2)\/(-1))\/(2\/(-3)). What is the third biggest value in v, 5, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/36)\/(90\/240)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033719 rounded to three decimal places?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.6 - 0.6. Let j = y - 2.6. Let k = j - 0.6. What is k rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 68*o + 80*o + 62*o + 0 - 214*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179234, -179235, -179236?\nAnswer: -179237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*o + 224 = -4*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/21, 1\/14, 651?\nAnswer: 651","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 3495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -20. Suppose f*q - 10 - 15 = 5*g, 5*q = -5*g + 25. Let b = 27 + -8. Solve g = 5*v - 4 + b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1112100012 (base 3) to base 14\nAnswer: -ada9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/l**(-3\/7))\/l)\/l)**(-14\/11)\/((l*l*l*l*(l*l**(-3\/4)*l)\/l*l*l)\/l*l*((l*l**(-7))\/l*l)\/l) assuming l is positive.\nAnswer: l**(9\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289 = 383*d - 73*d - 1529. Let k(j) = -j**2 + 0*j**2 - j + 8*j - 5. Give k(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n**(-1))))**(-1\/7)\/((n*n\/(n*n\/(n\/(n\/(n*n*n**(-6)*n*n)*n*n))))\/(n**(-6)\/n)) assuming n is positive.\nAnswer: n**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61 * -2476.\nAnswer: 151036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-6 - ((-19 - -8) + 14))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**9\/168 + h**5\/60 - h**2 - 2. Let m(v) be the second derivative of x(v). What is the third derivative of m(u) wrt u?\nAnswer: 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 10*v = -40*v - 432 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, t: 2, v: 1}. What is prob of sequence it?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 61*j - 193. Let k be q(-64). Let b(i) = -6*i**2 + 4*i + 9. What is b(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/(c**(-1)\/c*c)*c*c))\/(c**(-3)*c*c*c))**(3\/16)\/((c**0)**(18\/11)\/(c*c*c**(-1)*c*c*c)**(-49)) assuming c is positive.\nAnswer: c**(-787\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2183, -4374, -6579, -8804, -11055, -13338?\nAnswer: -15659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p - 4 = 0, u + p - 15 = 0. Calculate the remainder when 151 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bb71 (base 13) to base 4.\nAnswer: -12120012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 34 + 1?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 38?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4 + 122962*q**3 + 2703996*q**2 - 12291592*q + 12783472 = 0. Calculate q.\nAnswer: -61459, -26, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 4 + (sqrt(1539) - -3*sqrt(1539)) + 3 + (sqrt(1539) + (sqrt(1539) + sqrt(1539)*-1)*6 + sqrt(1539) - sqrt(1539) - (1 + sqrt(1539) + 5)))*6)**2.\nAnswer: -5184*sqrt(19) + 886608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -4*y + 5*v, y + 1153*v - 1157*v = 13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 172904.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2600001*l**2 - 1. Let v be j(1). Let o(h) = h**3 - 5*h**2 - 7*h + 9. Let n be o(6). Suppose -v = n*k + 2*k. What is k rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*v + 4 + 2 = 0, 4*v - 16 = 0. Let h = x - 6. Let n(q) = 6*q**2 - 14*q + 14. Calculate the lowest common multiple of h and n(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4069.24 to the nearest one hundred.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.2099 - 0.3801. Let o = h - -17.2. Round o to one dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2896 divided by 897?\nAnswer: 2896\/897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 39901 from -332061487.\nAnswer: -332101388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 707344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5 = -4*x. Let r be ((-6)\/(-12))\/(x\/16). Solve -a = a - r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596996107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/(-15))\/((-9)\/(-60)). Let q(m) = -m - 6. Let f be q(t). Calculate the remainder when 19 is divided by (-2 - -1)\/(f\/(-14)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 338*r + 2\/3*r**3 - 6 - 26*r**2. Determine s so that p(s) = 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12897210 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v + 2. Let g be a(2). Let p(s) = -s**3 - 2*s**2 + 2. Let i be p(g). Solve x + 1 = -i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.02137397 rounded to 2 decimal places?\nAnswer: -3.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -104940 smaller than -104940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 6112\nAnswer: -1222.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-55)\/(-4) - 9\/12. Suppose 3*v - 5*j = 434, -5*v + 0*v - 4*j = -711. What is the greatest common factor of b and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecec when four letters picked without replacement from eecec.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0. Suppose 5*t = -6 + 1, 2*c = 2*t. Let g be (-2)\/24*-14 + c. Is g at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 127, 0.1, 7, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-11364)\/(-7))\/((-11)\/(-77))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 - (4 + -1)) + -2. Suppose u*h - 10 = h. Is 79010\/30 + (1 - h\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193838 is divided by 487.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116710544?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 - 3*x - 76*x**2 - 243*x**2 + 319*x**2 + 3*x - 4*x**3.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 + 300 = -30*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + -3 + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (1\/(-2) - 135\/(-30))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160536204 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 131884 (base 10) in base 13?\nAnswer: 4804c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585 = -20*s - 12*s + 269 - 1540 for s.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 8*b - 8. Suppose 2*s = -q - 3*s - 6, 3*q = -5*s - 18. Let i be u(q). Suppose 18 = -i*t + 42. Sort -3\/5, 4, -4\/7, t.\nAnswer: -3\/5, -4\/7, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(-119))\/((-180)\/(-168)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.056204 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 + 58. Suppose 0 = 4*h - x*h - g, -2*g = -8. Solve -7 = h*i - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*z - 24 = 42*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 2*o + 3. Let u be x(-3). Suppose -3*z = 2*c + 216, 3*c + 4*z + 226 = -96. Let s = c - -405\/4. Are s and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96 by -8895.\nAnswer: 32\/2965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)\/(sqrt(7) - (sqrt(7) + sqrt(112))))**2 + sqrt(304) + -1)*1.\nAnswer: 3\/16 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z - 4. Let n be o(2). Let y = -10 + n. Solve -m + y = -1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.8 + 0.2. Let q be (21\/(-2) + 11)*(4 - 2)*-3. Let y = -0.1 + 0. Put y, h, q in decreasing order.\nAnswer: h, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21265.8 - -21264.76943. Round u to two dps.\nAnswer: -1.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209337577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -2\/147, -2\/9, -3, -202 in decreasing order.\nAnswer: -2\/147, -2\/9, -3, -15, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -237048 divided by -7\nAnswer: 33864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*u - 384 + 80 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/5188056 and 43\/5836563?\nAnswer: 46692504","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 + 2)*(8*v + v**3 + 1 + 13*v**2 - 13*v**2).\nAnswer: v**3 + 8*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14450 is divided by 13564.\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = 22*u - 44. Let i(d) = -5 + 1 - 7*d - 3. Does 13 divide i(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81678 (base 9) to base 5\nAnswer: -3210044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-4 - (-21 - -4) - 5).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (69 - 69 + 15*s)*(3*s + 4*s - s)*(11 - 4*s**2 + 17*s**2 - 2*s**2 + 14*s**2) in the form y*s**3 + q*s**2 + j*s**4 + t*s + a and give j.\nAnswer: 2250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -4*a + 41 - 22, -2*y = a + 31 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107*b**2*y**4 + 2*b**2*y + b*y**4 - 3129*b*y**2 + 5 wrt y.\nAnswer: -2568*b**2*y + 24*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 10:04 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 361704713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 281234 - -3?\nAnswer: 281237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 9*j - 1. Let t be m(1). Let y be (-2)\/t - (-174)\/24. Suppose y*i - 4*i = 12. Calculate the least common multiple of i and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 58\/(-2 + 104\/12) + 1. Let z = m + -41\/5. Factor 0 + 3\/2*l - z*l**2.\nAnswer: -3*l*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 10 = 4*x, -2*q - 4*x - 6 - 2 = 0. Suppose 0 = -r - 3, 5*h - 96 = 2*h + q*r. Suppose 12 = -a + h. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 13*t - 9*t**3 + 6*t**3 - 29 + 2*t + 19*t**2 + 4*t**3. List the prime factors of s(-17).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*v*x**2*y**3 - 476*v*x**2*y**2 - 2*v*x*y + 2*x**2 + x*y**3 + 79*x + 23*y**3 + y wrt x.\nAnswer: 16*v*y**3 - 952*v*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 5. Suppose 43 + 25 = a*x. What is the remainder when x is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19681 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 2. Suppose 3*u - 22 - k = 0. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 10:30 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -340*d**6 - 2*d**2 + 4*d.\nAnswer: -40800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 15*s**2 - 2*s + 14. What is g(15)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 505, 504, 503, 502, 501?\n\"Answer: -b + 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 2*a = -2*f - 252, 4*a - 252 = -2*f. Let c be ((-6)\/a)\/(-1*(-7)\/(-861)). Are c and 13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/10)\/(2\/1). Suppose l = 2*f + 17 + 15. Let d = -39.6 + 34.6. Sort f, d, -1 in ascending order.\nAnswer: f, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o**2 + o**2 + 2*o**2)*((0 + 2 + 10)*(-5 - 2 + 5) + 897 - 415 - 450) + 3*o**2 + 0*o**2 - o**2 to m + c*o**2 + b*o and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 m when four letters picked without replacement from {t: 6, l: 3, x: 7, m: 2, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 101 + -17784.\nAnswer: -17683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/45081 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1539) + sqrt(1539) + sqrt(1539))*-4 + sqrt(1539) + 2*(-2*sqrt(1539) - sqrt(1539)) + -5)**2.\nAnswer: 2754*sqrt(19) + 444852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 509868 + 829332. Suppose 0 = 3*c - 11*c + m. Round c to the nearest one thousand.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o - 11. What is y(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.25 - -4.25. Suppose -5*b - 5 = 15. Let d = b - -4. What is the nearest to d in o, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 0)*(24074 - 1461*i - 24074).\nAnswer: 7305*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*f**3 + 4 - 4 - 4*f**2 to i*f**3 + w*f**2 + m + x*f and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 6:46 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 9 = -4*h. Suppose 3*t - 4*l - 78 = -l, -72 = -h*t - 3*l. Let i = -16 + t. Calculate the least common multiple of 1 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*y + 5*u + 9, -2*u + 3 = -y. Let v = -10 + 6. Let m be 261\/(-28) + 9 + (-6)\/24. Which is the closest to 1? (a) y (b) m (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -527, -503, -467, -419, -359?\n\"Answer: 6*a**2 + 6*a - 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 3*i = -1, 4*y - 5*i + 2*i - 1 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 21*v - 5184. Calculate the highest common factor of v and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 4*o = -10, 4*q + 2*o + o = 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/963 + -23162\/24075. Let h = 2702 - 270229\/100. Let o = w + h. What is the common denominator of 49\/2 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1182 - -1176) + 34\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1931985 or -1931986?\nAnswer: -1931986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + -679?\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.12073 rounded to one dp?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.616 take away -9549440107?\nAnswer: 9549440107.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2077098727\/7495368 - 1\/440904. Let m = x + 277. Sort -1, m, -3, -0.4 in decreasing order.\nAnswer: m, -0.4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 8 = -3*y, y = 6*l + 5*y - 4. What is m in -7\/4*m**3 - 19\/4*m**l + 1 - 2*m = 0?\nAnswer: -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*c - 103*c - 25875 = 0. Which is bigger: c or 1126?\nAnswer: 1126","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 + h**3 - h**4 - 2 - 2*h**2 + h + 2 to the form g*h + l + n*h**3 + z*h**4 + q*h**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 297944427 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.133 and 0.89.\nAnswer: 0.11837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 90766?\nAnswer: -3\/90766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120530 (base 7) to base 4.\nAnswer: -202010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041931 rounded to three decimal places?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2309011658 - -2\nAnswer: 2309011660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 = 44*p - 125 - 194 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72 + 195 + 342)*(n - n - 4*n).\nAnswer: -1860*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 68 = -193. Suppose -m - 94 = -x. Let h = 73 + m. Solve -4*t - 8 = 0, -t - h = 2*w + 4*t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-21)*216\/1104. What is the closest to 1\/2 in 3, w, -1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296 = 8*x - 256 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o + 32. Determine z(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 0)*(14*l - 8*l + 12*l) + (-2*l - 3*l + 3*l)*(-7 + 2 + 0) - l + 3*l - 4*l)*(-3 + l + 3).\nAnswer: 26*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/(-100))\/((-2)\/(-10)). Let -3\/2*l**2 + 3 + s*l = 0. Calculate l.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*r**3 - 2*r**5 - 41*r**3 + (-r**4 + 3*r**3 - 3*r**3)*(-3*r - 10*r + 5*r).\nAnswer: 6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2604, -5207, -7798, -10371, -12920, -15439, -17922, -20363?\nAnswer: -22756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 13*q**2 + 80*q + 510. Give h(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -35*p**3\/6 - 3*p**2\/2 - 16*p. List the prime factors of r(-2).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 2.2, 0, -2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -268 + 394. Let m be (-76)\/(-14) + c\/49 + -3. Solve -i + q + q - 5 = 0, 0 = -m*q + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = 12*n - 10*v + 56, -8*n - 36 = 4*v - 5*v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59 - 6 - -14) + -22.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*(2 + (sqrt(2) - sqrt(8)\/sqrt(4)) - (sqrt(2) - sqrt(24)\/(sqrt(84)\/sqrt(7)))).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5\/3 + 13*b**4\/3 + 29*b**3\/3 + 5*b**2.\nAnswer: -b**2*(b - 15)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from iaoiataaxaaoaatxx?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764 is divided by 248.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 3 - (-115 + 2). Suppose 2*j - 6*j + 244 = 0. Let c = l - j. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 10 = -0*t, 137 = 2*p - 5*t. Suppose 5 = 3*k - 2*v - 2*v, -v + 25 = 3*k. What is the greatest common factor of p and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-2))\/(-1*(-5)\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftuqqoofqfqu. Give prob of picking 1 t, 1 u, and 1 f.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 3:16 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1036 - -2111\/2. What is the common denominator of -149\/6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 517*t - 521*t + 2*n + 84, -3*n - 34 = -2*t for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**6\/120 - i**5\/6 - 2*i**4\/3 - 11*i**3\/3 - 591*i**2. Calculate l(-9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0 - ((-12 - 3 - -11) + 6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + u - 1. Let x(l) be the first derivative of 11*l**3\/3 + l**2 - 7*l - 316. What is -5*t(w) + x(w)?\nAnswer: 6*w**2 - 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g = -17*g - 20. Let s be (-23)\/(0\/g + -1). Let w = s + -15. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*q + 70 + 189 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + 2 + -84*(-3 + (-1299159)\/18). Round d to the nearest one hundred thousand.\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107206292 to the power of 1\/3, to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18.2 + -18. What is the nearest to -0.1 in 1, s, -4\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -0.5 (c) -0.085 (d) -2\/23 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.5, 10, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3 + 4*g + 0*g + 0*g - 4461*g**3 - 2*g**2. Let m be n(-7). Round m to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138\/(-207)*(30 - -8 - (-6 - -14))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by 177?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 8. Let d = 47.9 + -46. Let q = d + o. What is the second biggest value in -1\/4, q, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(-9)\/9 - -48486 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 535887.2s to nanoseconds.\nAnswer: 535887200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -192 + 102. Let k = u - -89.29. Let n = -0.32 - k. What is n rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + ((sqrt(605) + sqrt(605)*1 + -3)**2 - (sqrt(605) - (1 + sqrt(605) + -1))).\nAnswer: -132*sqrt(5) + 2423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 196*c + 8. Let u(b) = 131*b + 5. Let y = 26818 - 26813. Calculate y*q(o) - 8*u(o).\nAnswer: -68*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 144 - 148. What are the prime factors of (-359)\/(-4) - a\/16?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 5*o = -9*h + 20, -o = -2*h + 4. Solve h = 2*s - d - 0*d - 15, -25 = -s + 4*d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -841 and -4206\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 466140 rounded to the nearest one thousand?\nAnswer: 466000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*f - 189*f = -124*f + 988. Solve f*y = 45*y + 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 0.589.\nAnswer: 0.0589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 10. Suppose 2*c + 8 = 0, 7*u - 3*u - c = -124. Let j = b - u. List the prime factors of j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103979 divided by -103979.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 o when four letters picked without replacement from {o: 8, g: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7. Let i(w) = -32. Let f(z) = 2*i(z) - 9*k(z). Let v(q) = -q**3 + 1. Determine -6*f(b) - 6*v(b).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 86192 and 4654368.\nAnswer: 4654368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**8\/4032 + s**7\/1008 + s**5\/6 + 7*s**2. Let n(r) be the third derivative of j(r). Suppose n(u) = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 263357 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**2 - 98682066*d + 811512512502363 = 0. What is d?\nAnswer: 16447011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*b - 11772 - 16178 = 0, 139834 = 5*c + 3*b. What are the prime factors of c?\nAnswer: 83, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152 and 32.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 15*v**2 + 96*v + 108.\nAnswer: -3*(v - 9)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 281957714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 304.96636?\nAnswer: 152.48318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -99, 5, -1\/15, -3\/8 in descending order.\nAnswer: 5, -1\/15, -3\/8, -11, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 65*o**2 + 1452*o + 276. Let x(t) = -2465*t**2 - 55175*t - 10490. Let y(g) = 115*s(g) + 3*x(g). Factor y(p).\nAnswer: 5*(p + 18)*(16*p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**37\/a)\/a**(-5\/8))**(1\/28))**(14\/3) assuming a is positive.\nAnswer: a**(293\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-7) - (-29)\/812. What is the nearest to 0 in -4, 2\/13, y?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxfsncf. Give prob of picking 1 c, 1 f, and 1 x.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10 + -46 - (-2)\/3)*-30. Round c to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 + l - 3. Give q(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -40*a + 53. Let t(d) = -10*d + 13. Let q(u) = 6*l(u) - 26*t(u). Let o(n) = 7*n - 7. What is -14*o(s) + 5*q(s)?\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/5*1\/113. Let j = 7\/39737555 + 22721920502\/76335843155. Let k = a + j. Which is bigger: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -69.47, 4, 3, -14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**5\/40 - 7*v**4\/24 - 7*v**3\/6 - 2*v**2 - 4*v - 4. Let l(m) = 0. What is m?\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*3.2\nAnswer: 0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -5*a + 2*m, 0*a + 68 = -3*a - 4*m. Let o be (-10)\/4*a\/10. Let s = 6 + -3. Solve -s*v + 19 = -5*c, -o*c = 3*v + 9 + 17 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42588015 divided by 3.\nAnswer: -14196005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -338430, -676989, -1015548, -1354107, -1692666, -2031225?\n\"Answer: -338559*t + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 7:30 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.61 - 0.11. Which is bigger: v or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 0*s + 41\/30*s**5 - 1\/3*s**3 + 0 + 1\/6*s**4 + 35*s**2. What is the second derivative of n(r) wrt r?\nAnswer: 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 532 = 44. Let t(j) = -13 + 68*j**2 - 3*j + h*j**2 + 15. Is t(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19954, 39904, 59854, 79804?\nAnswer: 99754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 5:28 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**3 + 0*j + 0*j)*(0*j - 4*j + 2*j)*(11*j + 6*j - 7*j).\nAnswer: 120*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2622, 9616, 21190, 37344?\n\"Answer: 2290*y**2 + 124*y + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**(-14)*u)\/u*u)**(-8\/11)\/(u**(20\/9)*u*u**(-2\/11)) assuming u is positive.\nAnswer: u**(563\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/854 and 31\/18.\nAnswer: 7686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -520 - -1108. Suppose -34*q + 15042 - 3618 = 0. Suppose -k = -3*v - 4*a, -5*a + q = 3*v - 255. Is 48 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, f: 1, c: 1, e: 1, q: 1}. Give prob of sequence nqe.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 b when two letters picked without replacement from hhhddbdhddhbhhdhddd?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2166*c**3 + 350*c**3 - 198*c**3.\nAnswer: 2318*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/((-5)\/34). Do -3 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 245328 and 21520?\nAnswer: 1226640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 380 = 5*p. Calculate the remainder when p is divided by (-4 + -4)\/(3\/(-6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 149034 and 1043238?\nAnswer: 1043238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 3*z + 3. Let b(o) = 5 - 4*o - 3 - z. Let w(m) = 4*m + 247. Let d be w(-62). Determine b(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3 = -4*o - 8*n, 0 = 2*o + 2*n. Suppose 0 = -o*g - x - 11 + 30, 3*g = 2*x + 25. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 - 12 + 3 + 9.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.2. Let m = 0.3 - 0.8. Let i = -0.5 - m. Which is smaller: i or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1891*r - 1394*r + 151110 for r.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a + 44*a + 1 - 3.\nAnswer: 50*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 497*a**4 - 1 + a - 2*a - 499*a**4 as c*a**4 + t*a + u*a**3 + n*a**2 + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**2 - 2*d**2 - d**2)*(-270*d**2 - 51*d**3 + 270*d**2).\nAnswer: -102*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1 + -2 + sqrt(637) + -6*(sqrt(637) + -1))**2.\nAnswer: -210*sqrt(13) + 15930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*h**3\/3 - 44*h**2\/3 - 25*h - 6.\nAnswer: -(h + 3)**2*(7*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 7:20 PM?\nAnswer: 411","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = h - 0*r - 4*r, 0 = 4*h - 5*r - 336. Let o = h + -87. Suppose 4*k = -o*y + 230, 232 = 2*k + 2*k + 4*y. What are the prime factors of k?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3891399 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 b when three letters picked without replacement from {d: 8, w: 4, n: 2, b: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3)*(-4 + (-64)\/(-16)). Suppose 0 = 4*c - 3*y - 1643, s = 2*c + 9*y - 5*y - 794. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 2*b + 7. Let w be (-4)\/8*(b - -7). Let f(u) = -u**3 - 4*u**2 - 2*u - 2. What is f(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-2))\/((-3)\/18). Solve -2*q + v = 5, -a*q + 3*v + 5 = -v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 791 - 782 = 0 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 87\/4 of a gram?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -2749396.\nAnswer: 2749396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-1287)\/13)*2\/(-1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) 10 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 2*z**2 + z**2)*(93 - 55 - 46)*(0*z - 15*z - 10*z).\nAnswer: 400*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.068 - 1.618. Let x = 1.664 + c. What is x rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2283636 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*u - 18 = -3, 5*m + u - 12 = 0. Suppose -m*t = 17*t - 240. Suppose 0*r = 4*r - 516. What is the remainder when r is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3946.4 to the nearest ten.\nAnswer: 3950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(8\/12)*8. Suppose -3*u + 2*s - 42 = 5*s, 4 = -u + 4*s. Let f = u - g. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2896\/92310)\/((-28)\/35).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + c + 1)*(2 + 1 + 3*c**2 - 2).\nAnswer: 3*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 461 - 483 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -221620 and 5402.\nAnswer: -216218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140066012 to the nearest integer?\nAnswer: 11835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-217373)\/(-15236) + -9 + 2. Let h = b - 5\/293. Find the common denominator of h and 93\/424.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37157, -54800, -72465, -90158, -107885?\nAnswer: -125652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27281 is divided by 6784?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 + -0.66. Let j = -0.16 - d. Suppose 4*m + 10 = -m. Which is the smallest value? (a) j (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1026367 - 3*j + 513183 + 513184.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515255 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3316546268 to the nearest integer?\nAnswer: 57589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + x + 54. Let f be n(0). Let o be -3 + (4 + -3 + -1 - -9). Calculate the greatest common factor of o and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - -0.2. Let j = 0.2 - k. Let s be (2\/(-10))\/((-4)\/(-5)). Sort -2, j, s.\nAnswer: -2, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from {c: 10, t: 2, q: 3, r: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(-21\/5)\/(g\/(g**(2\/5)\/g)*g*g\/(((g*(g**(-1\/8)*g)\/g)\/g*g)\/g)) assuming g is positive.\nAnswer: g**(-317\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5166 and 1089657.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 4 + 30\/(-4 + -13 + 18). Solve 0*u - 6*u = m for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/2065 - -38834\/6195. Calculate the common denominator of u and -17\/21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-2 - 2 + 6)*(-2 + 2 - 5)*(2*o**5 - 2*o**5 - o**5).\nAnswer: -10*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 376783*c - 2 - 376950*c.\nAnswer: -167*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 138273280 a multiple of 2731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88503 is divided by 184?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1593, -6036, -13059, -22662, -34845, -49608, -66951?\nAnswer: -86874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6522*k**3 + 12*k**2 - 37*k - 3?\nAnswer: 39132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3990*o + 119665. What is h(30)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 18. What is the lowest common multiple of -30*(0 + (-4)\/10) and (-10)\/c*1*12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23\/60 + 2\/15. Suppose -3*j - 2 = p, -2 = p - 7*j + 4*j. Let s be (-23)\/(-28) - p\/(-8). Which is the second biggest value? (a) w (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**2 + 4*b - 3*b**2 + 5*b**3 + 18*b**3 + 13*b**3 to j*b + c*b**3 + w + k*b**2 and give c.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/25 - -5)*(-5)\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*x + 24. Let t = -6 - x. Sort 1, t, -1.\nAnswer: -1, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -202 - -26465\/131. Is o <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 35.7?\nAnswer: -178.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*k - 6776 = -29*k - 110*k for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 41216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26192266?\nAnswer: 2, 13096133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -144565?\nAnswer: -144568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 7 = 9*o - 7*o, 5*o = -15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 smaller than -382529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 n, and 2 t when four letters picked without replacement from {r: 1, n: 1, q: 2, t: 2, s: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(-3)\/k)*k**(2\/5)*k**(2\/27)\/k*k*k*k*k**(-4) assuming k is positive.\nAnswer: k**(469\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25134962 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3561582689 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 + 1460*x**2 + 142169*x - 143630.\nAnswer: (x - 1)*(x + 106)*(x + 1355)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1042 - -40324?\nAnswer: 38272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -41*v**2. Let o(n) = -31*n. Give d(o(c)).\nAnswer: -39401*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - 3)*(-48)\/9. Suppose -2*i + 30 = -x. List the prime factors of i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - j + 3. Let s be h(0). Suppose -s*d + d - 2*t = 2, -2*d + 5*t + 19 = 0. Let l(r) = -3*r + 0*r + 4 + d. What is l(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1260326673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3 + 7 - n - 4. Suppose 4*x = 2*s - 4*s + 30, -2*s - 2*x + 20 = 0. Let r(j) = 47*j. Let u(m) = s*z(m) + r(m). Let b(t) = -t. What is u(b(k))?\nAnswer: -42*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4160*v - 2441909. Calculate c(-587).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 2*l**3\/3 - 11*l**2\/2 - 170*l + 2. Calculate r(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bqbqqqqqqqbqqqq?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3402 and 90315?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1595458420?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -126\/37 >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599647?\nAnswer: 223, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 1. Let t be f(-2). Suppose -3*w + t*w - 6 = 0. What is the highest common factor of 6 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 509, 489, 467, 443, 417?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 14*d**2. Let m(l) = -1684*l. Determine q(m(g)).\nAnswer: 39701984*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 5)\/((-2)\/(-11)). Let b(y) = 16 + 6 + 15*y - 22. Let w(g) = g. What is z*w(k) + 2*b(k)?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -234 - -240. Suppose -9*h + 1 = -k*h + u, -5*u = 25. Solve -b - 2*b - 2*i - 6 = 0, h*b + 11 = i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182872901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 + 205\/(-25))\/(2088\/(-1740)).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322690398 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3061174257 to the power of 1\/2, to the nearest integer?\nAnswer: 55328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 3\/4, -5, -20261.\nAnswer: -20261, -5, 0, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/14)\/a*a\/(a*a**(1\/24)) assuming a is positive.\nAnswer: a**(-163\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 21*f**2 + 56*f + 35. Let s be a(-18). Let w(q) = -17*q**3 + q**2 + 2*q + 2. Let i be w(s). What is the greatest common factor of 576 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 8. Suppose 7*o - 5*o = 202. What is the remainder when o is divided by k(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 14587.\nAnswer: 4\/14587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 125449320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -718?\nAnswer: -715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 14*r - 30. Let o(l) = 9*l - 20. Give -5*h(m) + 8*o(m).\nAnswer: 2*m - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -458*-4254.\nAnswer: 1948332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 h, and 1 j when three letters picked without replacement from whhhwlwwjh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, n: 8, k: 2, o: 2}. What is prob of picking 1 n and 2 k?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.561629077 to four decimal places.\nAnswer: 0.5616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 3*f**2 + 6*f - 4. Let p be j(4). Suppose p*l - 11 = 37. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.08 - -149503\nAnswer: 149505.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1574*b - 1294*b + 472 - 472.\nAnswer: 280*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8733*d*r**2 - 3*r**2 - 13*r - 32 with respect to d.\nAnswer: -8733*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 12076\/46039?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -27, 4, 0.3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/4, 3, -6611\/17?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127\/399 - -10\/57. Let o = 3 - 6. Let v = 2.82 + 0.18. Sort o, v, p in decreasing order.\nAnswer: v, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(10) + sqrt(40)))\/sqrt(6).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*h + 8*h - 12*h = -363 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -26*f + 2. Let q(n) = -97*n + 9. What is -11*a(c) + 3*q(c)?\nAnswer: -5*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61 - -12) + 28 + 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - d + 0*d + 4*d - 5*d + (2*d - 3*d + 0*d)*(-1 - 1 + 0) + 0*d + 0*d - 2*d - 4*d + 0*d + 0*d)*(88*d + 0*d + 56*d) to w*d + q + z*d**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 15*q**2 + 16*q - 14. Let p(l) = 2*l**2 - 112. Let m be p(-8). Calculate u(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 4*v - 22, 5*h + 5*v = 4*v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 - 73.6. Sort -2, -1, 0.3, o in decreasing order.\nAnswer: o, 0.3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76 + -74. Let d = 90 - 99. Let m = 9.019 + d. Which is smaller: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 65332 (base 9) in base 11?\nAnswer: 2a579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 + 2*l**2 - 13. Let m(f) = f**3 - f**2 + 6. Let g(k) = -k**2 + 6*k - 2. Let r be g(7). Calculate r*m(t) - 4*i(t).\nAnswer: -t**3 + t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - r. Let k(s) = -14*s**3 - 3*s**2 + 6*s + 17. Let p(i) = -5*i**3 - i**2 + 2*i + 6. Let t(y) = -6*k(y) + 17*p(y). Calculate -3*q(j) + t(j).\nAnswer: -j**3 - 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 25*a**2 + 22*a - 53. Let c be t(-24). Let x = -4.8 + 5. What is the third smallest value in x, c, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 - 8*f - 118. Let r be j(-6). Let y(v) = -v**2 + 6*v + 2. Let w be y(5). Let a = r + w. Is a a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*q**4 + 35442*q**3 + 11607231*q**2 - 15523596*q + 5179788.\nAnswer: 3*(q + 657)**2*(3*q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -113 (b) -8\/7 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -635*l + 11. Let d be w(-1). Suppose 10*v - 2264 = d. What are the prime factors of v?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**5\/30 + a**4\/2 - 16*a**3\/3 + 21*a**2. Find y, given that q(y) = 0.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -3\/40, 2\/13, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80846 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -279 greater than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2859001 = -5*o + s, -77*s + 81*s - 4 = 0. What is o rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-24)\/18)*(-2)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - m - 16 = 0, h - 36*m + 40 = 5*h - 40*m for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffb when three letters picked without replacement from fbbfbbfffffbff?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2080957 to the power of 1\/2, to the nearest integer?\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8*s + 288 = 0. Let v = -72 - s. Solve 0 = 2*h - v*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-90)*(-8184)\/(-5456).\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3550628 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29166 = -15*z + 8546 - 6272. Calculate the smallest common multiple of z and 22.\nAnswer: 23056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 17, -9 in increasing order.\nAnswer: -9, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 278819, 278870, 278953, 279068, 279215, 279394, 279605?\n\"Answer: 16*c**2 + 3*c + 278800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7346 - 5*l**5 - 335*l**3 - 140*l**4 - 27826 - 8000*l**2 - 20480*l - 1185*l**3 = 0. Calculate l.\nAnswer: -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**3 + 0*h**3 + 2*h**3 - h**3 + 0*h + 0*h + 3*h**3 + 0*h + 0*h + (-2*h - h**2 + 2*h)*(0*h + 0*h + h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*l + 20. Let u(m) = 4*m + 1. Let d(p) be the first derivative of 1 + 2*p + 5\/2*p**2. Determine l*u(y) + 3*d(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/2834 and 127\/2106?\nAnswer: 229554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 35022 less than 0.237068?\nAnswer: -35021.762932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: (180\/108)\/((-20)\/(-66))\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2851643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*i**3 + 23*i + 1 - 3*i**3 - 8*i**3 - 110*i**4 wrt i.\nAnswer: -1320*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10761954 and 1047781.\nAnswer: 634955286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -608 by 304.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 - 96 + 4*o**2 + 1 + 94 + o + 42*o**4 in the form c*o**3 + z*o**4 + r*o**2 + m*o + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 26?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccyccccdcccdccdccnny. Give prob of sequence yc.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 7) to base 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 3*m**2 + 1. Let u be s(-3). Let j be (-5 + u)\/(4\/(-66)). Let d(l) = l + 6. Let q be d(0). Calculate the highest common factor of q and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*v - 12 = -v, 6 = 2*y - 2*v. Let l(q) = y*q + 3 - 2*q - 1. Let a(m) = -3*m + 2. Let h be 16\/(-6)*(-12)\/8. Calculate h*a(r) - 5*l(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**7\/2205 - o**6\/1260 - o**5\/126 - o**4\/84 + 131*o**2. Factor b(f).\nAnswer: 2*f*(f - 3)*(f + 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609 + 633 = 3*v, -104*g + 3*v = -392 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.36 - -0.56. Which is the closest to l? (a) 4 (b) -5\/2 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4836 and 1088636796.\nAnswer: 4836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -10*q. Let p(c) = 407*c**2. Give p(b(j)).\nAnswer: 40700*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1748780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 2*q**2 + 3*q - 4. Let z be k(3). Which is the fourth biggest value? (a) z (b) 3 (c) 2\/39 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1992738 and -1824547.\nAnswer: -1824546.8007262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -680, 9, 0.4, 0.25, -3.\nAnswer: -680, -3, 0.25, 0.4, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.15889 - -0.21189. Put w, -0.3, 3 in increasing order.\nAnswer: -0.3, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448)*-3*-1 + (-4*sqrt(448)*4)**2 + -2.\nAnswer: 24*sqrt(7) + 114686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/13*l**3 - 4\/13 + 4\/13*l**2 + 2\/13*l.\nAnswer: -2*(l - 2)*(l - 1)*(l + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/296 and -117\/67846900.\nAnswer: 135693800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 73874, 147758, 221658, 295580, 369530, 443514, 517538, 591608?\n\"Answer: j**3 + 2*j**2 + 73871*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0228761 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15910 + 15913. Let n(y) = 5*y**2 - 3*y + 20. Let v(r) = 4*r**2 - 3*r + 19. Give x*n(m) - 4*v(m).\nAnswer: -m**2 + 3*m - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.2854 to two dps.\nAnswer: -4.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6660 (base 10) to base 4\nAnswer: 1220010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**7\/315 + b**6\/45 - b**5\/18 + b**4\/18 + 19*b**2. Suppose m(a) = 0. What is a?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 q, and 2 h when four letters picked without replacement from huuhhhqhhuquhqhquq.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 347554270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + -110111101110?\nAnswer: -110111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 l when four letters picked without replacement from {n: 9, h: 2, l: 5}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5203 is divided by 812?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 5, 6\/7, -3\/8, 0.3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence paff when four letters picked without replacement from paffaaaca.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (943\/(-615) - -1)\/(1\/5)*18\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6757081559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 0.06 (c) 766 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/4 - 1449*q**2 + 8703*q.\nAnswer: -q*(q - 6)*(q + 5802)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 131*m + 314 + 1200 + 189 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, a: 2, h: 5, s: 1}. What is prob of picking 1 a and 1 h?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 q when two letters picked without replacement from {m: 9, v: 1, b: 1, q: 2}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*k - 7. Suppose 15 = -k*p + 35. Suppose -p*g + 391 + 153 = 0. What is g rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2378 - 14305\/6. Find the common denominator of -103\/6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b + 6. Let n = -19 - -13. Let j be z(n). Let u = -3 - j. Solve -2*c + 0*i = -4*i + 18, c - 6 = -u*i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 633\/28 + -655\/21. Let a be (-34)\/4*6*-1. What is the common denominator of y and a\/(-7) - (-3)\/6?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 - 71. Let m(v) = v**3 - v**2 - 5*v + 3. Let p be m(w). Solve 3*j = p*j + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*n - 4 = 0, -1 = 4*n - 3*n. Let s be (4\/(1\/x))\/(-2). Let p = s + 1. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 5. Let a be m(0). Let f = 39 + -284. Let s = 244 + f. Put -3, a, -4, s in descending order.\nAnswer: a, s, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -11*s + 87. Let i be v(8). Let h(c) = 16*c. Calculate h(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*g + g + g)*(2 - 2 - 13*g) to the form m*g + j*g**2 + y and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c + 1. List the prime factors of i(11).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 3*r - 4*v, -5*r + 28 - 58 = v for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-1\/41))\/v)\/v*v**(16\/7)\/v assuming v is positive.\nAnswer: v**(376\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 + 58 - 14)*(-2560 - 2*z**2 + 2560 + z).\nAnswer: -192*z**2 + 96*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1588 + 0?\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 e when four letters picked without replacement from {a: 2, e: 6, q: 4, c: 4, y: 1}?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 10. Let z = 17 + -29. Is b\/(-6)*1638\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0212966 rounded to four decimal places?\nAnswer: -0.0213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11886, -11883, -11880?\n\"Answer: 3*d - 11889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, n: 1, b: 1, t: 1, w: 2, f: 2}. Give prob of sequence fq.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 7 - -6)\/((-10)\/4)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 - 58 + 173 - 57 - 30*z.\nAnswer: -30*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53.5 + -54. What is the biggest value in y, -2, -0.183, -0.2?\nAnswer: -0.183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r - 15. Let y(d) = -d + 1. Let t(q) = -k(q) - 6*y(q). Determine t(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 12 (c) -1 (d) 3 (e) -2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.69489 months in years?\nAnswer: 18.3079075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16.4 (b) -7 (c) 2\/11 (d) -27 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*r + 12*r + 15*r + (-12 + 22 + 18)*(2 - 2 + 4*r) - r + 4*r - 2*r to the form k + j*r and give j.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.757 + -0.433. What is o rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -24, 0, -50, 8 in increasing order.\nAnswer: -50, -24, -3, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 46904, 46893, 46878, 46859, 46836?\n\"Answer: -2*a**2 - 5*a + 46911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1291 - 0?\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1732 - 1725. Put -7, -125, o in increasing order.\nAnswer: -125, -7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*(n\/(n\/((n\/(n*n\/(n**(-11)\/n*n)))\/n)))\/n)\/n)\/n)**43)**(2\/73) assuming n is positive.\nAnswer: n**(-1290\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -216*f + 211*f. Let j be -1 + 3\/(-12) + 37\/20. Factor -3\/5*g + j*g**2 + 3\/5*g**f - 3\/5.\nAnswer: 3*(g - 1)*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 1020?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**4 + 4*x**4 - 3*x**4 + 1764 - 76*x - 1759 as z*x + i + t*x**2 + h*x**4 + o*x**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1303013 (base 4) to base 16\nAnswer: 1cc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 0. Let a(w) = w**2 - 3. Let f be a(4). Let j = f - -32. What is the greatest common factor of m and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2601, 3071, 3765, 4695, 5873?\nAnswer: 7311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -14*i**2 + 2*i - 28. Let s be j(7). Let g = s - -708. Solve -2*n = -3*f - 2, 0*f = 5*f - n + g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2154\/359*(-3)\/4?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 0*b + 10. Let t(q) = -q - 2. Let w be t(0). Let a = w + b. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w = -67*w + 1320. Suppose -240*l = -236*l - w. Solve -2*t + 2*o = 6, 4*o = -5*t - l - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-12)*27\/2. Let t be (-20)\/(-3) - g\/(-27). Solve -3*l - 1 = -2*u, -t = -u - 5*l + 14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 2 + 58)*(-7*j**2 + 3*j**2 + 2*j**2) in the form n + u*j**2 + g*j and give u.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - (1 - (73 + 19)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 744 and 4898?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1968880 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 877528 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 e, 1 k, and 1 i when four letters picked without replacement from {e: 2, i: 5, y: 1, k: 1}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/204 and 67\/476940.\nAnswer: 8107980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3923234 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 - 54. Let w be a*(3\/6)\/(-1) - -329. Suppose -3*y + 26 = -w. List the prime factors of y.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 - r**2 + 3*r**2 - 2*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/9)\/m**13)\/((m\/(m**(-2\/9)\/m))\/m)**(-38))**(-19) assuming m is positive.\nAnswer: m**(-1919\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 2*j. Let v be 3*(j\/2 + -1). Calculate the remainder when v - 6 - 29*-1 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/39 - -1) + (-514)\/3341.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/65 + (-66)\/(-10). Suppose -5*a + 23 = -4*g, 0 = -3*a - 3*g + d*g + 17. Suppose -p - a*p = -16. Solve 5*c = c + p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) -0.5 (c) -5 (d) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -71317?\nAnswer: -71312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -938, -939, -942, -947, -954, -963?\nAnswer: -974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 4:13 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39162531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 36. Suppose -2*a + 30 = a. Calculate the greatest common factor of a and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19947502876604 + -5\nAnswer: -19947502876609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*6\/4 + 32874828 + -31. Let s = i - -5225206. What is s rounded to the nearest 1000000?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -493.6 - -493.64671. What is i rounded to 3 dps?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -3.8, 3\/7, 0.1952, 0.5 in increasing order.\nAnswer: -3.8, -0.05, 0.1952, 3\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + y = 0, -4*w - 3*y + 15 = -w. Suppose 0 = 5*h + 5*c, h + 5*c = 3*h - 14. Suppose h*s = s + 3. Calculate the highest common divisor of w and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 12*n - 19. Let m be a(9). Suppose 23*c - 225 = m*c. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/3*(29 - 2). Let j(p) = -p**2 - 8*p - 13. Let s be j(-3). Solve 5*r + t + 22 = s*t, -3*r - b = -2*t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z + 16. Let n(k) = -k - 1. What is -4*n(m) + v(m)?\nAnswer: 2*m + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**6\/4 - n**5\/60 - n**3\/3 - 29*n**2 - 2. Find the first derivative of q(t) wrt t.\nAnswer: -90*t**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -25*d**3 - d - 33*d**3 - 27*d**3 + 78*d**3 + 3 - 8*d**2. Let u be l(-3). Calculate the highest common divisor of 82 and u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**4 + 3*i**3 + 3*i**2 - 3*i. Let s(x) = -x**5 + 2*x**4 + 3*x**3 + 2*x**2 - 2*x. Suppose 0 = p - 9 + 7. Let u(l) = p*t(l) - 3*s(l). Factor u(b).\nAnswer: 3*b**3*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 294? (a) -2 (b) -1\/29 (c) 75\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 85\/(-10)*(3 + (-46)\/14). Is d at most as big as 201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 436023 + -115?\nAnswer: 435605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from {u: 1, q: 1, t: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -28*s**3 - 1. Determine k(1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -342775\/21764 - 2\/5441. Find the common denominator of h and -39\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -88 (b) 0.5 (c) 3 (d) 1\/3 (e) 10 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1122 - 2201\/2. Let s = z - 22. Let d = -0.1 + 0.1. Is d > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*a = 5*v - 129*a - 5, -4*v + 2*a + 12 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/45*3*(-2)\/(-1)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3302 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10\/347 + 14117\/3817. What is the common denominator of 121\/1180 and x?\nAnswer: 12980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 727522?\nAnswer: 2, 363761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1772*k + 1928*k + 782*k + (4*k + 3*k - 3*k)*(-2 - 4 + 4) to i + j*k and give j.\nAnswer: 930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 14 - 39. Suppose 5*y = 3 - 23. Is y != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, 99, -1?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 47*x**2 + 7*x - 13. Let z be a(2). Suppose 1428 = 7*b + z. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78832 and 109408.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/40896 and -91\/13632?\nAnswer: 40896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 10*r - y - 9 = 0, 2*y = -r - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -1\/4, -1.4, -3, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 440*n**2*q**3 + n*q**3 - 47*n wrt n?\nAnswer: 880*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 4 (c) -953\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 11:51 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 - -65. Let t = d + 13.0115. Round t to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -11. Calculate the least common multiple of s and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(6\/8 - 1). Suppose 3*f - 2*u = -r, 0*f + u = 4*f + 92. List the prime factors of 6\/f + 377\/4.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 64 + 146 = 32*y, -3337*w + 3*y + 10 = -3338*w for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 11*o - 2423. What is j(-55)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 2*n - 1. Let h be v(2). Let r(o) = -4*o**2 - 424*o + 6*o**2 + 1 + 424*o. Give r(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-4)*-2)\/((-570)\/(-4560)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 4:32 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1042350 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 12:08 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 9*v**2 + 11*v + 21. Does 11 divide o(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -1 + 151914669*x**2 + 1 - 151914664*x**2. Let p(b) = 3*b**2 + 9. What is n(p(a))?\nAnswer: 45*a**4 + 270*a**2 + 405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6286, -6443, -6608, -6787, -6986, -7211, -7468, -7763?\n\"Answer: -l**3 + 2*l**2 - 156*l - 6131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6993 - 1508. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h**2 + h**3 + 3 - 2769*h + 2769*h. Let z be j(6). Solve z*x - 1 = -4*p, 5*x - 5*p = x - 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.189776254 rounded to four decimal places?\nAnswer: 5.1898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**14*(h*h**14)\/h*(h\/(h*h*h**7*h))\/h**(12\/5) assuming h is positive.\nAnswer: h**(83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 9.1\nAnswer: -9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 298.42 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -2. Let j be z\/4 - 2\/(-8). Solve -5 - 1 = j*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 y when two letters picked without replacement from ayyvvyyyvvvyayvyyyy?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2429a9 (base 14) to base 5.\nAnswer: -304033323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + -6 + 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + 2*j**2 - j**2)*(-29 + 9*j + 29 + (0 + 0 + 2*j)*(-1 + 1 + 2)).\nAnswer: -26*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*z + 23, 0*n - 3*z = n + 15. Let s be (0 + 15\/(-9))*n. Which is the closest to -0.1? (a) s (b) -4 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34 and -0.0446986?\nAnswer: -1.5197524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a8 (base 12) to base 2.\nAnswer: 100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 8*s + 4. Let l be t(-5). Let r(o) = -o**2 - 12*o - 8. Let h be r(l). Suppose -h + 12 = 3*m. What is the second smallest value in 2\/9, 0.1, m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 3*o + 2. Let j be l(2). Put j, -2, 0, -1 in descending order.\nAnswer: j, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -11*b + 6*b + 2*l, 2*l = -3*b + 10. Calculate the greatest common divisor of b and 364.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 10214 in decreasing order.\nAnswer: 10214, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11 + (96\/(-30))\/(-8)*4*-5. Suppose 9\/5*f**2 + 21\/5*f**4 + 0 + 36\/5*f**t - 6\/5*f = 0. What is f?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - 2*y + 2*y - 3*y - y + 3*y + (-2 + 5 - 1)*(5*y - 4*y + 0*y) - 9*y - 3 + y + 9*y + 0*y + 3*y - 4*y - 1 - y + 1 + (4 - 3 + 1)*(2*y - 5*y + y).\nAnswer: -2*y - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 252122, 252131, 252142, 252155?\n\"Answer: l**2 + 6*l + 252115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -4*a - 5*i - 92, -15*i + 59*i - 41 = 4*a + 23*i + 20*i for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1478 in -0.5, 0, -7, 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -15*h + 27. Let o be x(-40). Let d = 3159\/5 - o. Factor d*f**2 + 4\/5*f**4 + 18\/5*f**3 + 0 + 8\/5*f.\nAnswer: 2*f*(f + 2)**2*(2*f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 394875 and 9750?\nAnswer: 789750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**3 - 2*a**3 - 2*a**3)*(-3 + 2*a + 3)*(14*a - 48 + 48).\nAnswer: 56*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -8*q + 252. Determine h(32).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17533aa (base 12) to base 8.\nAnswer: 22347562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from {m: 3, v: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*j + 109000010, -4*j - 10*i = -6*i + 87200020. Round j to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 46 = -6. What is the lowest common multiple of b and (-38)\/(-9) + 3287\/(-171) + 19?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712300 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 412624\/(-12136)*15\/(-34)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2065*m = -2212*m + 588 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 0*y - 1 + 0*y**5 + 0*y**2 + 2\/3*y**3 + 0*y**4 + y**6. Find the third derivative of c(s) wrt s.\nAnswer: 360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*f = -110*f + 108 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q**5 - 360*q**4 + 594*q**3 - 212*q**2 - 48*q = 0. What is q?\nAnswer: -2\/13, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*h, -3*o - h = -4 - 10. Suppose -15 = p - 5*r, -3*p - 5 - 4 = -o*r. Suppose -2*z - 7 + 17 = p. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14641.02 + -14641. What is the third smallest value in 1\/2, -36, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + sqrt(684))*-4 - (sqrt(171) + -1 + sqrt(171) + sqrt(171) + -1 + sqrt(171))*-4)**2.\nAnswer: -6144*sqrt(19) + 176128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -113786 >= -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1312 divide 1686447600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*p - 5*n, 2*p - 2*n + 7*n = 23. Suppose 3*s - l + 3*l = -10, 0 = -3*s + 5*l + 25. Solve 0 = -u - s*u + p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 1 + 2 - 5)*(4*o**4 - o**4 + 0*o**4).\nAnswer: 9*o**5 - 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 6*w - 3. Let o be u(7). Suppose -o*d + 3*d = -3*c + 19, -3*c + 9 = -3*d. Solve -f + c = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((5 + 0 + sqrt(180) + sqrt(180) - sqrt(180)) + -4 - (sqrt(180) - (sqrt(180) - (0 + sqrt(180))*-5))*1)*3)**2.\nAnswer: 648*sqrt(5) + 58326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32.172 + 32.1736147. Round a to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 182573.79+-150070\nAnswer: 32503.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 greater than or equal to -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 4. Let g be a(-4). Let t(u) = u**3 + 3*u**2 + u - 4. Let k be t(-4). Let d be k\/16*g\/3. What is the highest common divisor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -280? (a) 0.1 (b) 42 (c) 13 (d) 0.61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 211\/3 (b) 3\/4 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*u = -111, 6*u = n + u - 32. Let w be 2\/7 - n\/21. Sort 4, -3, w in decreasing order.\nAnswer: 4, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -121 - 23. Calculate the greatest common factor of 16 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 1 - -6 - 0. Let v = a + -11. Let h = 9 + v. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 44\/11 - 20\/6. Which is the biggest value? (a) 0.4 (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h - 15. Let q be d(-8). Let l be (1 + q*1)*(-494)\/(-95). What is the first derivative of 43*p - 4 + 13 - l*p wrt p?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 15) in base 6?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22378783 to the power of 1\/3, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-4)\/7)\/((-708)\/(-1239))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*t + 3510 = -397*t + 15615. What is the lowest common multiple of 155 and t?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2. Let y(m) be the third derivative of 0*m + 0*m**3 - 3*m**2 - 1\/12*m**4 + 0. Give q(y(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 8:33 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000068502204 to seven decimal places.\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(35)\/sqrt(5))**2 - (-3 + sqrt(35)\/sqrt(5))) + (sqrt(7) - (sqrt(28) - (sqrt(448) + sqrt(28)))) + (1 + sqrt(28))**2 + 3.\nAnswer: 12*sqrt(7) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18165288\/29 or 626388?\nAnswer: 18165288\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -2*b + 3*j - 1, -5*b - j = -307. Let s = b + -59. Suppose -5*w + 3*r - s*r + 18 = 0, -4*w = r - 9. Solve 5*i = w + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 514999 and 5959.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a factor of 4758415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z**3 - z**2 + 132*z - 261. What is w(2)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 19 = 8*g. Let k be (-1)\/g*(-38 - -6). Let c = 34 + -50. Is k >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(147)*-3 + sqrt(147) + 0 + -3 + sqrt(147))*-4)**2.\nAnswer: 224*sqrt(3) + 2368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(3\/17)*h**(8\/7)\/h*(h*h**(4\/3)\/h*h*h)**50 assuming h is positive.\nAnswer: h**(59845\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.07717, 21, -58?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(117)*-2 + sqrt(117))*-1 - (0 + sqrt(325))*6*2) + -5)**2.\nAnswer: 798*sqrt(13) + 42286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - (2 + (8 - 18))) + 8 + 3 - -13.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**7\/120 - k**4\/6 - k**3\/3 + 6*k. Let y(l) be the second derivative of f(l). What is the derivative of y(a) wrt a?\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/((-120)\/(-3)))\/1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (15\/24*4)\/(((-25)\/(-306370))\/5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 2*n + 5*r, n + 17*r + 27*r - 53*r - 49 = -20*r for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34bee0b - 3?\nAnswer: -34bee0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*q + 165. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -167 - -165. Let z(y) = y**3 - y**2 - 7*y + 6. Let n be z(1). Which is the smallest value? (a) v (b) 3\/7 (c) n (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 881278798?\nAnswer: 2, 12853, 34283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.694 - -0.074. Let o = r - -3.12. Which is the smallest value? (a) o (b) 0.5 (c) 2\/5 (d) -0.72\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j*n**3 + 2*j*n - 6*n**3 - 14*n**2 + 8 wrt n?\nAnswer: -6*j - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c. Let f(u) = -10*u - 13. Give f(a(l)).\nAnswer: -10*l - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 5016 and 5017 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 + 5*s - 6. Let p be d(4). Suppose -6*w + w + 138 = 4*x, -5*x = 2*w - p. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1996007, 3992011, 5988015, 7984019, 9980023?\n\"Answer: 1996004*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*g**2 + 9*g**2 + 11*g**2.\nAnswer: -100*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*j**2 - 52*j**2 - 54*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.97 minus 1356?\nAnswer: -1353.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/27*2)\/(56\/((-1008)\/5))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-4))\/(-2*3\/6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4) - (-5)\/((-60)\/(-6))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a century in months?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 24*i - 53. Let x be y(-20). Let b(u) = -x*u + 2 + 0*u - 2. Let s(v) = -v**2. Calculate s(b(a)).\nAnswer: -729*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*k + 4*c, 3*k + 0*k + c = 9. Let s = -225 - -226. What is the least common multiple of s and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 509 divide 42224999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 23*m + 18*m + 29 = 0, -3*u - m - 5 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6)*(z + 0*z - 3*z) + 318*z - 2897*z - 317*z - 1912*z.\nAnswer: -4812*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 681.687 litres?\nAnswer: 681687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1138 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 3*f. Let l be 62\/22 + 2\/11. Let p be r(l). Factor -2\/11 + p*u + 2\/11*u**2.\nAnswer: 2*(u - 1)*(u + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17498*t**2 - 8*t**3 - 17500*t**2 + 52525*t**2 - 17527*t**2.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l**2 - l + 1. Suppose -4*k - 5 = -5*k. Let h(p) = 2 + 3*p - 9*p**2 - 4*p - p. Suppose x + j - 2 = 0, 2*x = -0*j + j - 11. What is k*c(r) + x*h(r)?\nAnswer: 2*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -14*s + 3*s. Calculate the remainder when 47 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-18)*l)\/l*l)\/l)**(-2\/23)*((l**29*l)\/l)\/(l\/(((l**19*l)\/l)\/l)) assuming l is positive.\nAnswer: l**(1092\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, 0.3, -1\/3, 13, -2, 12051 in ascending order.\nAnswer: -5\/2, -2, -1\/3, 0.3, 13, 12051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33 + 4*i + 27*i**4 - 6*i**5 - 4*i + 7*i**2 - 32 wrt i.\nAnswer: -360*i**2 + 648*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4989, -4994, -5003, -5016, -5033?\n\"Answer: -2*y**2 + y - 4988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 8) in base 12?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 2*m**2 + 21*m + 0 - 4\/3*m**3 + 1\/3*m**4. Factor k(j).\nAnswer: 4*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.08 + -0.08. Let r = 14 - x. Let h = 0 + 0. Which is the biggest value? (a) h (b) r (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8649359 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246, -444, -642, -840?\nAnswer: -1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -314 - -609. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5415 + 3060403?\nAnswer: 3066121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (340 + 14 + 141)*(-5 + 5 + 23*n).\nAnswer: 11385*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-820)\/406 - (-1 - 0). Let s = 42\/29 + t. Let r = 115\/3 + -233\/6. Which is smaller: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38307681 to the power of 1\/2, to the nearest integer?\nAnswer: 6189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6997 - 483 = -680*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -968, -979, -1004, -1049, -1120, -1223, -1364?\nAnswer: -1549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - i - 3*i - 32, -5*i - 50 = 5*x. Let y(l) = -l - 8. Let f be y(x). Suppose t - 20 = -f*t. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 8:50 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/6)\/(((-2)\/(-2))\/(12\/(-12))).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpfmetm. What is prob of sequence fpk?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2 - 4210990*g + 4210988 = 0. What is g?\nAnswer: 1, 2105494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5665 + -2534?\nAnswer: -11532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 - 56*j + 113*j - 57*j.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -922*i - 2*i**2 + 2 - 898*i + 2*i**3 - 38*i**4 + 1816*i in the form k + l*i**2 + d*i**3 + z*i + j*i**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4995205?\nAnswer: 5, 71, 14071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 + 8 + -26 - (-576)\/6?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**4\/3 + 58*y**3\/3 - 2660*y**2\/3 - 14272*y\/3 - 5824 = 0.\nAnswer: -52, -3, -2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -502\/15 + 101\/3. Determine d so that 1\/5*d - 1\/5 - l*d**3 + 1\/5*d**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13702366939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 5*q**2 - 2*q - 1. Calculate s(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23160083719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in -2\/5, 8, 0.3, 5, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**3*l**2 - 1087*b**3 - b**2 - 4*b*l - 68438835*l**2 + 3*l + 3 wrt l?\nAnswer: 6*b**3 - 136877670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -12\/6917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 311, 297, 281, 269, 267?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 11:35 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y + 0*y - 4*y + (-y + 0 + 0)*(0 - 1 + 3) - 2*y + 5*y - y + 917*y + 314*y + 1710*y to k*y + p and give k.\nAnswer: 2938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/12 - ((-5)\/2 - 0). Solve -5*s + 8 + 7 = f*t, t + 4*s - 15 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.6 + -4.6. Let f = -2.5 + -0.5. Let r = -3.5 - f. What is the biggest value in -1, r, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 100100222001?\nAnswer: 100100221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*m - 864 = 36*m. Calculate the highest common divisor of 27 and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z - 4. Let h be p(-2). Suppose 4*g - 310 = -2*i, -4*i + h*i = -2*g + 170. Suppose n + 8 = g. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from niniii. Give prob of picking 1 i and 1 n.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + g - 2*a - 62, -3*a + 3 = 0. Let b = g + -9. Suppose b = 5*t + 2. Is t <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7822500 and 6.\nAnswer: 7822500","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 1\/30*g**5 - 1\/336*g**8 - 1\/24*g**4 + 0*g + g**2 + 0 - 1\/6*g**3 - 1\/210*g**7 + 1\/60*g**6. Solve p(d) = 0 for d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1803703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 349237 to the nearest 1000.\nAnswer: 349000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078 a factor of 2436510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3 (b) -6 (c) -310\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 1\/20*v**4 + 16\/5*v - 3\/5*v**3 + 3\/5*v**2 - 13. What is y in p(y) = 0?\nAnswer: -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/(-4)*(-9)\/135*4. Let o(u) be the second derivative of 0*u**3 + 0 - 7\/2*u**w + 10*u + 1\/12*u**4. Differentiate o(d) with respect to d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u + 2*u - 12*u**3 + 5904 - 5953 to v*u + q*u**2 + f*u**3 + p and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5\/11 + 90*s**4\/11 - 252*s**3\/11 - 8*s**2\/11 + 336*s\/11 = 0. What is s?\nAnswer: -1, 0, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 406*s**2 + 1 + 1 + 325*s**2 - 817*s**2 + 3 to w*s + a*s**2 + z and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*p**2 + 0 + 33*p**2 + 0 to the form d + g*p + f*p**2 and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.82149ug to tonnes.\nAnswer: 0.00000000005882149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 68162413.72 rounded to the nearest one million?\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.031452 to three decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l*l**(-2\/11)*l)*l*l**(-5\/3) assuming l is positive.\nAnswer: l**(-82\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 3*j - 35 = -n, n + 3*j = -11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -54789, -54785, -54781, -54777, -54773, -54769?\n\"Answer: 4*j - 54793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 6 - ((12 - 6) + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = 2*p - 46, -3*t = -5*p + 113. Let j = 94 - 29. What is the remainder when j is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**2 + p - 1. Let k be m(1). Suppose -k*a = -2*f - 13 + 3, 7 = 4*a + f. Factor 0 - 1\/4*s**a + 1\/4*s.\nAnswer: -s*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.203*-0.5.\nAnswer: -0.1015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(14\/(-4)) + 2. Suppose 18 = -5*x + 5*m + 3, i = x - 3*m + 13. Solve -x*t + 12 = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 13. Let v be 6\/(-24) + (-42)\/g. Suppose y**2 - y - 3*y + 3*y**3 - 10*y**5 - y**4 + 2*y + 9*y**v = 0. Calculate y.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117384 less than or equal to 117481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 14) to base 13\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trrtrrtttrrrr. What is prob of picking 2 r?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.25 - 0.75. Which is the closest to f? (a) 0.4 (b) 4 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9386 times 2\nAnswer: 18772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3 + 10*t - 6*t**2 + t**3 + 0*t**2 - 3*t - 2*t**2. Does 3 divide a(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 10098 + 2*x**3 - x**3 + 2*x - 20219 - 21*x**2 + 10105. Determine o(21).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*q - 3*p, -4*p = 9 - 1. Let w be q\/((-6)\/(-3))*0. Suppose 2*m - 28 = b, 2*b = m - w*m - 20. Calculate the remainder when m is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12218 - -12217. Sort -8, 1\/3, -2\/175, o in ascending order.\nAnswer: -8, o, -2\/175, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 4*h + 5*w, -39 - 20 = -2*h - w. Let p be (-9)\/((-189)\/(-28))*-309. Suppose p = 8*l - 516. Calculate the highest common divisor of l and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*b + 3*m - 6, -7 = -b + 4*m. Suppose 8*z - b*z = 4*f - 455, -5*f - 2*z + 577 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -9 + (-4 - (6 + -11)) - -23?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3704 - 3679. Solve -2*k - 3*d - q = 0, -3*d - 130 = -k - 120 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -95*v**2 - 1. Let p(o) = 189*o**2 + 3. Determine 2*p(t) + 5*r(t).\nAnswer: -97*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-4))\/((-2)\/16). Suppose -8 = -4*k, -g*k = 4*q + 92 + 140. What is q rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 3640?\nAnswer: 32760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8305107 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -1. Suppose -4 = -3*q + 2. Suppose -16 = -6*f + q*f. Sort 1, f, n in decreasing order.\nAnswer: f, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-42)*i**(-1\/8) assuming i is positive.\nAnswer: i**(-337\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b**2 - 110 + 110 - 7*b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -163*q - 6. Let o be p(0). Let h(n) = 10*n + 1. Let l(a) = -9*a - 1. Give o*l(s) - 5*h(s).\nAnswer: 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z, -4*z = m - 4*m. Solve m = 2*r + k + 3, 2*r + 9 = -3*k - 0*k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-2)*(-2882)\/655?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*((-17391)\/12 + -4). Suppose 520 = 3*x - a. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**4\/4 + 183*h**2\/2 + 1270*h + 92. What is the derivative of t(b) wrt b?\nAnswer: -3*b**2 + 183","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 568280?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -2)\/(1\/5). Let w(b) be the second derivative of -5*b**3\/6 + 11*b**2\/2 - 19*b. Let u be w(p). Is u > -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591.014cm in millimeters?\nAnswer: 5910.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 729 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -9 - -4 - (18 + -78)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.705009 and -1?\nAnswer: -0.705009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.4579 rounded to the nearest integer?\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 4*d - 8, -15*r = -16*r + 4*d + 13 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 167 + -287. Let n be ((-2)\/(-4))\/((-5)\/j). Suppose -4*q = 2*k - 38, k + 18 = 5*q - n. Calculate the highest common factor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 504 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 90 = 28*l. Suppose -2*c + 94*w - 90*w + 44 = 0, -l*c + 146 = -w. What is the greatest common divisor of 30 and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4656565*r**3 + 9239328*r**2.\nAnswer: -27939390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 755*g**4\/4 - 312*g**3 + 957. What is the third derivative of a(m) wrt m?\nAnswer: 4530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7278 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 0*o**5 - 54*o**2 - 13*o**3 + 3*o**5 - 8*o**2 + 13*o**4 + 49*o**2 + 10*o = 0?\nAnswer: -5, -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**3*u*u**(2\/21)*u*u*u)**(-42))**(-2\/95) assuming u is positive.\nAnswer: u**(596\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w + 22. Let o be k(-5). Suppose 96 = 6*b - o*b. Let j = 28 - b. Solve -p = -3*i - 16, -j*p - 3*i = -8*i - 36 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/6))**(7\/6)*(u**1*u)\/(u*u*((u\/(u*u**(-2\/3)))\/u)\/u) assuming u is positive.\nAnswer: u**(55\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 1:51 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 2*m**2 + 3 - m**3 + 2*m - m**2. Let y be ((-2)\/2)\/(4\/8). What is c(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + 12*f**3 + 4*f + (-1 + 1 - f**2)*(1 - 1 - 2*f) - 23*f**3 + 6*f**3 - 5*f**3 - 5*f**3 + f**3 + f**3 + (-4*f**2 + 2*f**2 + 0*f**2)*(-2*f + 0*f - f).\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 8225553?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -147.3 less than -259.79?\nAnswer: -112.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/(-39))\/(-3)*3\/((-378)\/144)?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 6:44 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -6. Let d = -0.24 - 11.76. Let z = -11.9 - d. Which is the closest to z? (a) 0 (b) l (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -3*q - 12, 4*d - 34 = -113*q + 108*q for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1314)\/(-81) + 2\/(-9). Suppose -21*i = -s*i. Solve -2*u + u - 2 = i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 273*v**4*y + 5*v**3*y - 623*v**2*y - 4*y wrt v?\nAnswer: 6552*v*y + 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 7) + -76 + 74.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 16) to base 7.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 1565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18313 is divided by 2597?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4073275 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: b\"What is the wth term of -97125, -97097, -97103, -97161, -97289, -97505?\n\"Answer: -3*w**3 + w**2 + 46*w - 97169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 2*i**2 + 6*i + 7. Let x be f(5). Suppose 5*u = -n + 283, u - 5*u + 4*n + x = 0. What is the highest common divisor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 5*q**2 - 4*q. Give u(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 - 4*y + 2. Let i be r(2). Suppose -52 = i*q - 3*n - 173, 2*n - 6 = 0. What is the greatest common factor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 + 16*j - 56. What are the prime factors of a(-22)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 + 51. Suppose 0 = w*z + 8 + 2. Let f(x) = 4*x**3 + x - 1. Let y(a) = -9*a**3 - 3*a + 2. Calculate z*y(t) - 5*f(t).\nAnswer: -2*t**3 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-14)\/(x*(x\/(x\/((x**(1\/2)\/x)\/x)))\/x)**(-43) assuming x is positive.\nAnswer: x**(-101\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, o: 3, i: 6, e: 3, x: 1}. What is prob of picking 1 o, 1 i, and 1 f?\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/22)*x)\/x*(x\/(x\/(x*x**(-11)*x*x)))\/x assuming x is positive.\nAnswer: x**(-201\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 57 = -111. Let z be (6\/20*(-24)\/r)\/(-2). Let p = -1.5 + 2. What is the nearest to -2 in p, z, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 3*t - 6, b + 2 = -2*t + 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 192171 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -90 + 100. Suppose -r*p - 16 = -14*p. Suppose 2368 + 1188 = p*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((40\/32)\/((-30)\/40))\/(1\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3757824 - 31*c**3 + 3757824.\nAnswer: -31*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 158, 0, 485, -1.\nAnswer: -2, -1, 0, 158, 485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/2 and 17\/378176.\nAnswer: 378176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23646 is divided by 179?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 1 + 5, -2*n - 102 = -3*h. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-963)\/(-81) - (0 + (-60)\/54)) + 14.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2632616 and 36?\nAnswer: 23693544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2702.\nAnswer: 2, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1122 - -2?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14605 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0072 - 58.8072. Let a = -55 + 138. Let n = m + a. Round n to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 5*n. Let j(k) be the third derivative of 0*k**3 - 1\/4*k**4 - 3*k**2 + 0 + 0*k - 1\/30*k**5. Calculate -5*j(b) - 6*x(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 + 0. Let y = 69 + s. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/(l\/(l**0\/l)*l)))\/l*l)**19\/(((l\/(l*l**(2\/7)*l*l*l))\/l)\/(l*(l*l\/(((l*l*l*l**(1\/18)\/l*l*l)\/l*l*l)\/l)*l*l)\/l)) assuming l is positive.\nAnswer: l**(5321\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246 + -9 - 14\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17787725?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31421667?\nAnswer: 3, 727, 14407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5.8 (b) -3 (c) -1\/4 (d) 2\/367 (e) -4 (f) 0.35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in 0.1, 3, -17, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 298944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -439*z. Let v(b) = -2*b. Give o(v(k)).\nAnswer: 878*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-8))\/(881 + -882 + (-1)\/2)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*n = -7, d + 2*n = n + 8. Find the third derivative of 74*b + 16*b**2 - 74*b + 8*b**d wrt b.\nAnswer: 480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/9 (b) 1\/2 (c) -0.2 (d) -18 (e) -0.3 (f) -3\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 286665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 36ad + -a84?\nAnswer: 2b29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33\/2 - 52. Let g = 36 + z. Is g less than -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1)*p)\/p*p)\/(p**(-5\/2)\/p)*p**3*p**(-1\/7)\/p assuming p is positive.\nAnswer: p**(89\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9202*m - 8583*m - 51377 for m.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - 3 - 3 - 7)*(4*u**3 - 3*u**3 + u**3).\nAnswer: -8*u**4 - 26*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 274026 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 5. Suppose -14*x + 19*x = 170. Let z = x - 32. Let i(o) = -2*o - 11. Calculate z*i(b) + 5*j(b).\nAnswer: b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z - 4. Let l(m) = -11*m - 9. Let d(s) = 2*l(s) - 5*p(s). Let x be ((-13)\/(-5) - 3)\/((-4)\/(-20)). Calculate d(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (56\/42)\/((-1170)\/351)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z**3 + z**2 + 3*z + 3. What is the tens digit of n(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2446*i**3 - 2*i**2 - 12*i - 21. Is t(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 155130232301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - 1*sqrt(99)*-6) + -1*sqrt(99)*1)\/(sqrt(72)\/(sqrt(968)*2)))**2.\nAnswer: 191664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -167*q**2 - 500*q + 2 wrt q?\nAnswer: -334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 579192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4195449 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/7*7 + -9 + 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 greater than 15505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -3 (c) 35 (d) -93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6677.95 + -6678. Sort -8\/7, b, 4 in decreasing order.\nAnswer: 4, b, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1223 + -3521364?\nAnswer: -3522620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + 168. Calculate the remainder when i is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -320, -391, -378, -281, -100, 165, 514?\n\"Answer: 42*r**2 - 197*r - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 4*y**2 - 5*y + 8. Let v be o(3). Solve -2*q = 5*x - 1 - 10, -v*x = -2*q - 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -380 - -3463\/9. Let k = g + -5. Which is the smallest value? (a) -0.5 (b) k (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 1:29 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -734 or -2206\/3?\nAnswer: -2206\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167.65401 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3 = -3. Suppose 0 = -2*u + 3 - 1, -3*t - u = 104. Let s be (1 - -1)\/(14\/t). Put -1, y, s in descending order.\nAnswer: -1, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 206.7 + -206.69990564. What is i rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*r - 71398 = 0, 16619 = -3*w - 3*r + 123698. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c**2 + 5*c - 75. Let l(s) be the second derivative of s**3\/6 + s**2 + 25*s. Calculate 4*k(b) - 9*l(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) -1\/19 (c) -0.4 (d) -4399\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 77495 and 60402415.\nAnswer: 60479910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2652 = 0.651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 + 217. List the prime factors of u.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -124\/11?\nAnswer: -124\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132078 is divided by 104.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1480*k = 1244*k + 950*k + 621*k + 446680 for k.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*(g*g\/(g\/(g\/(g*g\/(g\/(g*g**(-2\/15)*g)))*g)*g))\/g*g*g*g*g**(1\/5)*g**1*g*(((g\/g**(2\/11))\/g)\/g)\/g assuming g is positive.\nAnswer: g**(71\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2233600524 = 8*k + 4*k. Let s be k\/(-9) - 1\/(12\/4). Suppose -5*j - 84818514 = s. Round j to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8084 - -8079. What is the closest to -47 in 2, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, x: 11}. What is prob of picking 2 q and 2 x?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -30.1 and -0.6.\nAnswer: -30.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 - 30*p**2 + 30*p + 29. Let v(o) = -o**3 + 15*o**2 - 15*o - 15. Let l(b) = 4*t(b) + 7*v(b). What is the units digit of l(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -7*a**5\/60 - 70*a**2 + 110*a. Let q(b) be the first derivative of l(b). Let f(t) = -6*t**2. Calculate q(f(d)).\nAnswer: -252*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3036371 a multiple of 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*h - 5*p, -4*h = -0*h + 3*p - 9. Let s(d) = d**2 - 1 - 14 - h*d - 6*d + 1. Give s(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/4)\/(16\/64). Suppose 2*v + 3*h = -16, 24 = -3*v - 5*h - y. Let w(a) = -a**2 - 7*a - 2. Give w(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1349*x**2 - 2*x**3 + 1349*x**2.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -22. Suppose 5*d - 5*j - 179 = l*d, -2*j = -d + 87. What is the remainder when d is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, r: 1, k: 5, p: 1, b: 6}. Give prob of picking 1 p, 1 y, and 2 k.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -4. Suppose -6 = 2*y + 3*o, -5*o = -y + 2*y + 17. Solve -y*l + 6 = 3*z, 4*l + z = 4*z - t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 12:28 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jat when three letters picked without replacement from jauutvk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 12:43 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*j - 201*j = 6086 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 30664, 30642, 30622, 30604, 30588?\n\"Answer: i**2 - 25*i + 30688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1016 + -0.1\nAnswer: -1016.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71.1 - -71. What is the biggest value in k, 4, -0.5, 2\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-6)\/(-1) + -4 - (-220)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 46*u**2 - 3*u - 39. Let g be h(-46). What is the highest common divisor of g and 374?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(209) + sqrt(209)*-2 + sqrt(209))*-1 + sqrt(209))\/(sqrt(110)\/(sqrt(40)\/sqrt(4)))*-2*4.\nAnswer: 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-7 - -10 - (1 + 0))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -1155*z + 9234. What is m(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -28*r + 335 + 79. Let u(z) = z**2 - 10*z - 28. Give u(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*sqrt(7)*6*-4*-6.\nAnswer: -864*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3332529?\nAnswer: 3, 123427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -126*u + 4. Let b(z) = -4*z + 1. Give 5*b(w) - s(w).\nAnswer: 106*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -u - 16, -y + 3*u = -5*y + 9. Differentiate -y + 6*m**3 + 1 + 0 - 1 wrt m.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*-6*(-30)\/(-9). Let t be p\/70 - 174\/14. Is -13 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 + 122. List the prime factors of t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7492 + 23*h - 3747 + 10*h - 3743.\nAnswer: 33*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 - 64. Suppose o + u*f - 1 = 1, 2*f = 2. Let p(t) = -2*t - 3. Determine p(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 = h - 2*m, -2*h + 0*m = 5*m - 478. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 39 + 42. What is the remainder when 105 is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105434 (base 9) to base 12\nAnswer: 305a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - o + 10*m - 76, 3*o + 2*m = 28. Calculate the highest common factor of 1882 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83 - -83. Suppose 3*j - x = -4, k*j + 3*j - 12 = -3*x. Suppose -5*n + i = -659, 2*n + j*i = -5*i + 269. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001578338 to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25382414?\nAnswer: 2, 67, 189421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(110)*4)\/sqrt(10).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30406.\nAnswer: 2, 23, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5326 times 0.3\nAnswer: 1597.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28320518741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 8:16 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 0.08, 1\/3, 1\/10, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 404606 and 8282?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 0*w**4 - 1\/60*w**5 + 0*w**6 + 0 + 71\/3*w**3 + 11\/42*w**7 - 166*w**2 + 0*w. What is the first derivative of a(r) wrt r?\nAnswer: 220*r**3 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 7*s = 4*k + 1560, -2*k - 1038 = -2*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a = 19*a + 34 - 124 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**2 - 2*n + 2. Let w be s(1). Put -4, 5, 4, w in increasing order.\nAnswer: -4, w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -47.747 and -454184.\nAnswer: -454231.747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2 (b) -5\/6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -67*g**2 - 216*g - 215. Let t be b(-1). Suppose 4*x - 132 = 2*x. Let o = t + x. Solve o - 8 = -2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8748732400 to the nearest integer?\nAnswer: 2061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = 2*q + 15*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39055924.\nAnswer: 2, 29, 336689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -24166537 (base 8) to base 9\nAnswer: -10873211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 88 = f. Let r be 3\/(-1) + f\/12*-2. What is the nearest to -1 in r, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 426 = 2*w. Let u = -130 - w. Suppose -s + 724 = -u. What is s rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/4*(-25)\/30. Let s = g - -3\/8. Let d = 82 + -81. What is the third smallest value in s, d, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-25))\/(1\/(-10)). Solve -4*z - 2*q = -22, -j*z + 2*z - 4*q = -26 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.4, -155, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.07423 from 0.3.\nAnswer: 0.22577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xti when three letters picked without replacement from tttptihttxxppppttpt?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 400 - 421. Let q = 42\/5 - s. Factor -q*g + 1\/5*g**3 + 4\/5 + 2\/5*g**2.\nAnswer: (g - 1)**2*(g + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*n**2 + 151*n*p**3 - 2*p**3 - 212*p**2 wrt n.\nAnswer: 8*n + 151*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 126522629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1863 = 7*n - 314. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -531773 (base 16) in base 12?\nAnswer: -19a73ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 129 + -130. Suppose 10*m + p + 6 = 14*m, m + 4*p = 10. Sort f, -2\/9, 0.1, m in descending order.\nAnswer: m, 0.1, -2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-78 + 78 + 46*m**2)*(4*m + 0*m - 6*m) - m**3 + 4*m**3 - 2*m**3 to the form p*m + u + f*m**2 + z*m**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 7*v + 7. Let p be l(7). Let g be (-2)\/(-4)*(p - 3). Suppose r - g*r = -6. Calculate the remainder when r is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-nine thirds of a year?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of h**5\/120 - 5*h**4\/24 + h**3\/3 + 1. Let y(w) be the third derivative of l(w). Let x = -14 - -14. Determine y(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -16*x - 1. Let p(w) = 123*w + 16. Let r(n) = 53*n + 7. Let m(z) = 4*p(z) - 9*r(z). Determine 3*m(f) + 2*t(f).\nAnswer: 13*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 5*x = 2*l - 14, 2*l - 3*x = 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -692938*o**5 - 13*o + 15437 wrt o?\nAnswer: -13858760*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10617 + -2?\nAnswer: 10615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 10. Let k be ((-33)\/(-8))\/h - (-45 - -49). What is the second smallest value in -2\/15, k, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 39563258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + -5 + 64\/4. Suppose -2 = u - k. Let j = u - 10. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00596268067 rounded to seven decimal places?\nAnswer: -0.0059627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -305\/3*p + 68 + 67\/2*p**2 + 1\/6*p**3.\nAnswer: (p - 2)*(p - 1)*(p + 204)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/5 + 564526*b\/5 - 246513528\/5.\nAnswer: 2*(b - 436)*(b + 282699)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24461119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 30, 24, 12, -6, -30, -60, -96?\n\"Answer: -3*n**2 + 3*n + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -137, -1002, -3255, -7556, -14565, -24942, -39347, -58440?\n\"Answer: -110*x**3 - 34*x**2 + 7*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 166 - 170. Which is the fourth biggest value? (a) 6 (b) n (c) 4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38367*-1.\nAnswer: 38367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-2 + (3 - 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 25*c**3 + 498*c**2 - 42*c + 16. Let p be r(-20). Solve p*m - 72*m = -128 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -21. Calculate the remainder when 22 is divided by 36\/(-45)*(o + -8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 10*u + 7. Let c(z) = -29*z - 20. Let b(k) = -6*c(k) - 17*t(k). Let m(p) = 13*p + 2. What is -7*b(s) + 2*m(s)?\nAnswer: -2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/5 - 2154*t\/5 - 66572.\nAnswer: -2*(t + 187)*(t + 890)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97787 + -61168. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5276\/(-6))\/((-26)\/(-5101473)). Let w = -106034435 - r. Let a be 6\/21 - w\/(-7). Round a to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50219 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 633588.30907343 take away 0.2?\nAnswer: 633588.10907343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - 26. Let z = k + 77. Calculate the highest common factor of 385 and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-6 - -3)*-1. Put 3, m, 1 in increasing order.\nAnswer: 1, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323308.6 millilitres in litres?\nAnswer: 323.3086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10153807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**2\/2 + 519*c\/2 + 21267 = 0.\nAnswer: -417, -102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.08, -43, -0.2, 1311, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 223011 - -104?\nAnswer: 223120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.361 and -101523360515.\nAnswer: -101523360515.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 10, -8*u + 13*o = -17*o + 40*o - 14*o - 372 for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - 2)*9\/(54\/(-12813)).\nAnswer: 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*f - 3*f + 62, 2*u = -5*f + 264. Suppose 0 = 3*d - d - f. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {r: 3, j: 6, a: 3, g: 2, l: 4}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -2. Find the first derivative of 4*i**4 + 4*i**4 - 7*i**4 - b wrt i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-11)\/t)*t*((t**(-1\/4)\/t)\/t)\/t)**(5\/2) assuming t is positive.\nAnswer: t**(215\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16cb36 + -2?\nAnswer: 16cb34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1465, 1927, 2391, 2857, 3325, 3795, 4267?\nAnswer: 4741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 53 + -46 + 39\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 11:37 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - f = 3342. Suppose 5*d - f = 248. Is 22 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42719*b**4*k**3 + 2*b**2*k**3 + 50075*b*k**3 + 22*k**3 wrt b.\nAnswer: 512628*b**2*k**3 + 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.033124 to two dps.\nAnswer: -1.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.117 - 0.08. Let x = c + -0.0369978. What is x rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 520 = -5*v + 5*a, 6 - 3 = -3*a. Which is greater: v or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -266.8? (a) 29 (b) -0.5 (c) 1\/3 (d) 35\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23498997.\nAnswer: 3, 7832999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39319070 is divided by 1222?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 6)*(-7*x**2 - 3*x + 14*x**2 + 2*x) to c + l*x + b*x**2 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*n**3 - 216*n + 215*n + 0*n**2 + 0*n**2 + 10*n**3 + 1 as d*n**3 + a*n + s*n**2 + q and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6 + -4 - (-19 - -25)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 1743 = -h. Suppose 4*p - 7*p + h = 0. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2115 - 198 + 552 = -51*n + 123 for n.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 0*h - 45. Calculate the remainder when h is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by (2\/6)\/((-6)\/(-414))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1547 (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*a - 348 = -5*i, 5*a - 116 = -i. Let r be ((-12)\/(-30))\/((-7)\/(-3045)). What is the highest common divisor of r and i?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 plus -0.086?\nAnswer: -55.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97231 or -0.1?\nAnswer: -97231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -355.4 + 1873.4. Let q = 1513.1958 - j. Let k = -4.8 - q. Round k to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -157 + 651. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -11. Let d = 17.112 - 16.912. What is the nearest to -1\/3 in -7\/3, d, n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 7*b + 4. Let o(u) = -u**3 + 5*u**2 + 6*u + 3. Let a be o(6). Suppose 6 = -m - 5*t, -3*m + a*t - 30 = 2*m. Calculate v(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 + 97. Let u = -12 + h. Is u a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 603 = -0*t + t, 4*t - 449 = -3*c. Does 25 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvvvvvvvdvvv.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 10*l**2. Let n = -1590 - -1593. Let o(g) be the third derivative of -10*g**2 + 0*g**4 + 0*g + 0*g**n + 0 + 1\/30*g**5. What is o(d(b))?\nAnswer: 200*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -20, -5*j - g = 343 - 39. Let t = j - -67. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10074948.\nAnswer: 2, 3, 13, 17, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/2 - (-2 - 0). Suppose 81 = -j*f + 25. Let y be (-6)\/(-2*(-3)\/f). Calculate the greatest common factor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210 + 121011?\nAnswer: 120101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-40)\/(-2))*80\/210?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kg when two letters picked without replacement from {q: 1, k: 2, n: 3, g: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - -5. Let l(f) = f**2 - 12*f + 15. Calculate the least common multiple of l(v) and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 1168*i**2 + 172*i**2 + 50 - 136 + 50.\nAnswer: -996*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 9 = -0*g. Let i = -12 - g. Let s = i + 54. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*v - 62 = -248 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w**2 - 46*w - 20. Let b be p(-11). Let x = -13 - -18. Let v be 16\/(-6)*(x - b). Let l(s) = s**3 + 9*s**2 + 7*s - 4. Give l(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 903 and 300097?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xo when two letters picked without replacement from {x: 6, l: 3, o: 1, v: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 2*u + 5 = 19, -q + 3*u = -14 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 - 0.1. Let a = -3 - -11\/3. Sort -2, a, g.\nAnswer: -2, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 2 = -12*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*l + 10 + 2 = 0, -5*a + 46 = 4*l. Let n = 2 + a. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 5*j + 2. Let p be q(3). Let k = 9686 - 9682. Sort k, 5, p in ascending order.\nAnswer: p, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -18, 73, 252, 549?\nAnswer: 994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-2*1\/3). Let i be 1\/3 + -3 + f. Let t = 0.33 - 0.03. What is the smallest value in i, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -737*u + 25 = -742*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*a = 18, p - 14 = -a + 4*a. Suppose 0 = 4*v - 318 - p. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2727936 and 3287376.\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5121624, -5121646, -5121682, -5121732, -5121796, -5121874, -5121966?\n\"Answer: -7*c**2 - c - 5121616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 3:10 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 13*i - 90. What are the prime factors of i - (-6)\/(-12)*0?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1 + i)*(18501 - 9223 - 9211 + 158*i) as b*i**2 + d*i + k and give b.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8\/3, -1, -2, -1\/4, 767, -1\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 3*d. Let x(j) = -j**3 + 6*j**2 - 3*j - 7. Let r be x(5). Suppose -7*b - r = -10*b. Let v be (9\/6)\/(b\/2). Give w(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, k: 1, m: 2, h: 1, u: 1, n: 2}. What is prob of picking 1 m, 1 k, and 1 u?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 274*k**4 - 2*k**2 + 7 wrt k?\nAnswer: 6576*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 1218015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q**2 - 10*q + 7. Let p(w) = 10*w**2 + 15*w - 10. Let f(x) = 7*g(x) + 5*p(x). Let d be f(-6). Solve 0 = 4*b - d - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y = -8. What is the remainder when y is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -570 - -507. Let b = 65 + j. Let h = -6 - -6. Solve h = 3*m + b*m - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 7:56 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j - 1. Let v(z) = -7*z + 2. Determine 6*s(b) + 5*v(b).\nAnswer: b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, o: 2, d: 1, c: 1, a: 2}. Give prob of sequence dc.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2. Suppose 0 = 3*w - 5*s + 13 - 127, -w + 5*s + 48 = 0. Let h(m) = w*m - 16*m + 16*m - 2. Calculate h(z(u)).\nAnswer: 66*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 9 - 2)*(-2*s**3 - s**3 + 2*s**3) + (2*s - 2*s - 4*s)*(4*s - 3*s**2 - 4*s).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2\/(x**(-2\/11)*x*x)*(x*x\/x**0)**(-25))\/(((x\/(x*x*x\/(x*(x\/(x**(2\/11)\/x*x))\/x)))\/x**(-3\/8))\/(x\/(x**1*x))**(-48)) assuming x is positive.\nAnswer: x**(-89\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-2))\/((-2)\/4). Suppose -5*p + 4 = n*c - 3, -7 = -p + 5*c. Suppose 3*s = 2*s + p. Let f(x) = -2*x**2 + 2*x - 1. Give f(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s. Let d(p) be the second derivative of p**4\/12 - 2*p**2 + p. Let i(r) be the first derivative of d(r). Give i(c(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 7. Solve 0 = -b*o - 4 - 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by -4?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -39 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -382, -865, -1504, -2377, -3562?\n\"Answer: -13*k**3 - 392*k + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 13. What is u(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 145.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 308001056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -214, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -488, -0.1, -0.06, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 10 = -6. What is the third smallest value in k, 1\/5, 2, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 1 + 19 = 0. Factor 2\/3*o**4 + 8\/3*o + 8\/3 - 4\/3*o**3 - w*o**2.\nAnswer: 2*(o - 2)**2*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -8.88?\nAnswer: 1.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 5*b**2 - 7*b + 8. Let j be d(6). Suppose -4*u + 16 = 3*a + 4, u = -2*a - 2. Suppose -i = i - u. Solve -j*c - 7 + i = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-5)*(-115)\/(-138).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 70. Let i = h - -97\/2. Which is the nearest to 2\/3? (a) i (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338038 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32903*w + 25 = -32878*w. Solve -9*y - 28 = -w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 63551*f - 63555*f + 34, -2*j - 2 = -5*f for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(1\/5))**(-20)\/(q**35)**(2\/19) assuming q is positive.\nAnswer: q**(-906\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2251 and 11.\nAnswer: 24761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -3*n + 5*n - 16, 2*a + 5*n - 28 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/sqrt(2)*-2 - ((-2 + sqrt(2))*1)**2 - (((sqrt(2) + 2)*2)**2 - sqrt(16)\/sqrt(512))) + -4.\nAnswer: -34 - 111*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 9:14 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457863 is divided by 511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(78) + sqrt(78)*2 + sqrt(78)))\/(sqrt(66)\/((sqrt(176) - sqrt(11)) + sqrt(11))).\nAnswer: -48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-2\/11)*w*w**(-5\/3)*w**(28\/9)*w**(-12)\/w assuming w is positive.\nAnswer: w**(-964\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 - -1983997172.\nAnswer: 1983997172.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -998\/17 - -6005\/102. Which is the closest to -1\/3? (a) u (b) -87 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-31)\/(2635\/(-34)) + (1 - 1). What is the biggest value in u, -1, 33\/8?\nAnswer: 33\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 2*o - 1. Let q be x(3). Suppose 25 = -5*a, 0 = -3*j - 0*j + q*a + 124. Let r = j - 23. Solve h + r = -4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/14*2)\/(-8).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tuuu when four letters picked without replacement from {g: 4, t: 4, u: 12}.\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2, -14, -32, -56, -86?\n\"Answer: -3*v**2 - 3*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 182484 by 9.\nAnswer: 20276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, z: 3, u: 4, a: 1, g: 4}. What is prob of picking 1 a and 2 u?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 7. Suppose -5*q + 2*q = -42. What is the remainder when q is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xotx when four letters picked without replacement from rxtwwgo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16393.\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 11*r + 9. Let q be g(-4). Let b = -16 - q. Suppose -20*p = -b*p - 51. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*(y*(y**(2\/15)*y)\/y*y)\/y))**(-7\/6)*(y**(-7))**(-29) assuming y is positive.\nAnswer: y**(18389\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*z + 3. Suppose 4*k - 3*n = -7*n + 408, -z*k + 2*n + 200 = 0. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-5))\/(4\/(-20)). Suppose r*x = 5*x + 4*q - 22, -4*x + q - 1 = 0. Suppose 6*z = 534 - 492. Solve 0 = 2*v - z - x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8684*w + 8689*w + 2*o - 145, -w + 11*o = -29 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 9 = y + 60, -13*y + 6*y = 14*q - 11*y - 324 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 1566 - 1540 = -5*o, -4*u = 2*o - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1987\/13 - -153. Put l, -1\/4, 0.1 in descending order.\nAnswer: l, 0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 7*q**2 + 166*q + 323. What is r(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + 4*t**2)*(-4*t**3 + 5*t**3 + 0*t**3).\nAnswer: 4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6) - 8\/(-6). Suppose -6 = 2*o + 2*y, 15 = -4*y - 5. Let z(h) = -3*h**3 + 5*h**3 - 2 - 3*h**o + s*h - 1. Give z(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 2562960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1050 and 2430?\nAnswer: 85050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/72 - 87\/(-24) - (749 + -737)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v = -11*v + 192426. What are the prime factors of v?\nAnswer: 2, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-9))\/((-4)\/9*(-57)\/(-304))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12556.3095 nanoseconds in days?\nAnswer: 0.00000000014532765625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23776.\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + g + 1. Let k(z) = 60*z**3 - 3*z - 4. Let l(x) = -k(x) - 4*n(x). Is l(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*u = -53*u - 5*v + 70, -3*v = u - 38. Let k = 1 + 1. Solve -k*g + u*g = -12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 1. Let u(c) = -4*c - 3. Let a(o) = -12*g(o) - 4*u(o). Let h(w) = w. Give h(a(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100010001100101001 + 1010?\nAnswer: -1100010001100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p\/p**(1\/8))\/p)\/p**1)**(-16))**(4\/9))**(13\/4) assuming p is positive.\nAnswer: p**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -48 and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 28, 0, -1\/10, -4, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 233*m**3*s**2 + 17*m**3*s - 234*m**3 + 112422*m**2*s**2 + 107*s**2 + 2*s wrt m?\nAnswer: 1398*s**2 + 102*s - 1404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 1 - 4) + (-1 - -16). Let u be i\/4 - 7\/(-14). Suppose h = u*h - 30. Calculate the greatest common factor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**3\/6 + 2*c**2 + 3*c + 8. Let t(s) be the first derivative of f(s). Give t(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8638472?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 56 = g. Suppose 2*p - 3*h = g, 127 = 5*p - 4*h + 3*h. Let v = p - -118. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a centimeter in millimeters?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 20 = 20*n - 15*n, 2*k = -4*n - 18 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135019 is divided by 87?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*k + 6, -4*y - 2*k + 0 = -8. Let h(a) = 8*a. Let n be h(y). Suppose -3*s + n = -s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68548.914ns to hours.\nAnswer: 0.000000019041365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*w**2 + 180*w**2 + 176*w**2)*(4*w**2 - 5*w**2 + 3*w**2) to the form z*w**4 + q*w + v + y*w**2 + a*w**3 and give z.\nAnswer: 664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3151 + -2915. What is the greatest common factor of g and 295?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*3*sqrt(128) + sqrt(128) - -2*sqrt(128)*-1)*3)**2.\nAnswer: 139392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27370865 and 49267557.\nAnswer: 246337785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**2 - 5*h + 5. Let d(q) = -10 - 6*q**2 + 8*q + 2 + 0. Let u(v) = -5*d(v) - 8*x(v). Let c(w) = 2*w**2. Calculate c(u(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -33*w**2 - 11*w - 21. Let q(c) = 36*c**2 + 13*c + 24. Let s(h) = -7*q(h) - 8*r(h). Let j(u) = 71*u. Give s(j(x)).\nAnswer: 60492*x**2 - 213*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 625.9859ml to litres.\nAnswer: 0.6259859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*o + 9894 = 390*o for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7169030017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5985.08293 rounded to the nearest integer?\nAnswer: 5985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 14*v - 15. Let q be o(-17). Calculate the highest common factor of q and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*c**3 - 18*c**3 - 3*c**3 + 9.\nAnswer: -57*c**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 7*w - 258. Let b be v(-20). Solve -b*p + 9*x - 5*x + 24 = 0, -3*p = 4*x + 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 12\/25 of a milligram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -249 + 426. List the prime factors of v.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 9:33 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21 - 118?\nAnswer: -d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 380 and 266?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 22. Let a = -17 + s. Does 14 divide 48 - 4 - (-2)\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -3\/4 (c) 3 (d) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -847 divided by 4\nAnswer: -847\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 13061, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 36 - 44 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 184*f + 180.\nAnswer: 4*(f + 1)*(f + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54884933 by 1.\nAnswer: 54884933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-13*1)\/((-48)\/(-60)) and (-74)\/(-18) + (-8)\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.18114 + -0.12214. What is the closest to -0.2 in 1, 0, -2, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 + 7 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*j + 26 = 2*l, -2*l = 2*j - 42. Suppose 1 = -2*r + 3*g, 4*g + 0*g = -r - l. Suppose -2*h = -3*h - 4. Is h > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/125 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -115059.15 - 0.3?\nAnswer: -115059.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v = -1576 + 1639 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, 0.1, 0.5, 0.094903, -53?\nAnswer: 0.094903","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.381043686 to four decimal places.\nAnswer: -0.381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zww when three letters picked without replacement from dkzdzwddtzdztdxdww.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxf when three letters picked without replacement from {k: 5, x: 2, f: 4, o: 2}?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**3 - w**2 - 8*w + 10. Let i be t(8). Suppose -5*r + 4*p + 2355 = 0, 2*p + i = 3*r + 519. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12182969621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 6:02 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 7.5. Let p = -0.5 + z. Let j = -0.345 - -0.325. What is the second biggest value in 3\/2, j, p?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2328 - 7856*r**3 - 457 + 7955*r**3 wrt r?\nAnswer: 297*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 6*c**2 - 5*c. Let f be k(5). Suppose 4*z - 77 = 5*b, f = 3*b + b - 12. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 81536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-11))\/(5\/(-55)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 5*i**2 + 34*i - 118. What is the remainder when 34 is divided by w(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 13*g**2 - 2*g + 27. Let u be c(14). Calculate the greatest common divisor of u and 260.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + ((-1*sqrt(168))\/sqrt(12))\/(sqrt(700)*-1))**2.\nAnswer: -1353\/25 + 18*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*n**3 - 905*n**2\/4 - 90*n + 45 = 0 for n.\nAnswer: -6, -3\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -21*k - 115. Let c be (3 - (-44)\/(-12))\/((-4)\/(-78)). Let x(s) = -10*s - 57. Let u(m) = c*x(m) + 6*j(m). What is the units digit of u(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 52 + (1 + 1)\/(-2). Let u be (-51)\/15 - -3 - (-3726)\/90. Let q = x - u. Calculate the lowest common multiple of q and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.511417096 minus 8228?\nAnswer: -8240.511417096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 p when three letters picked without replacement from {p: 2, b: 8}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 85.0727288 to three decimal places.\nAnswer: 85.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**4\/7 + 15756*w**3\/7 - 285240*w**2\/7 - 188816*w + 4431840 = 0. What is w?\nAnswer: -3957, -10, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(300)*2)**2 + ((sqrt(3)*-2 + sqrt(3))**2 + -1 - (-5 + (sqrt(3)*-1 - sqrt(3))**2)).\nAnswer: 29995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 144 = -3*z. Solve 2*d - 3*r = -19, 0*d - d = 4*r - z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -370275428 divided by 185137714?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85730 and 102876?\nAnswer: 514380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2 - 465*i + 482. Let f be n(116). Calculate the highest common factor of f and 5246.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*d + 2*d. Suppose 4*v = -4*m + 25 + 3, 3*v = -m + 13. Let f(s) = 3*s**3 - 7*s**2 - 5*s + 4. Let k be f(v). Which is smaller: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168699865 to the power of 1\/2, to the nearest integer?\nAnswer: 34186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**7)*h)\/(h**(-2\/31)\/h*h)*h\/((h*(h\/h**(-5)*h)\/h*h)\/h)*h\/h**2)**1 assuming h is positive.\nAnswer: h**(-401\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -15*o**2\/2 + 900. Let m(u) = -2*u**2 + 32*u. Give g(m(h)).\nAnswer: 30*h**2 - 480*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 29*f**2 - 16*f + 13. Let n be j(-6). Let s = n - 55. List the prime factors of s.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**4\/10 - 154*y**3\/15 + 1036*y**2\/5 - 384*y + 1223. Factor n(o).\nAnswer: 2*(o - 60)*(o - 16)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79 + -94 + (48 - 10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 320*a - 5693. What is i(19)?\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 15 = -o, 0 = 4*o - 20*y + 24*y. Let h(m) = 5*m + 9. Give h(o).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 93*q**2 + 369*q + 7778. What is o(-96)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Round 50727 to the nearest 1000.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.67481 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 2*m = -3*o - 40, o - 10 = -3*m. Solve h + o = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -236*l**4 + 2*l**2 + 35*l + 1?\nAnswer: -2832*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((11*b**3 - 20*b + 20*b)*(-3*b + 4*b + b) + 0*b**4 + 2*b**4 - 4*b**4 + (0*b - b + 2*b)*(0*b**3 - b**3 - b**3))*(-2 - b + 2).\nAnswer: -18*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10931520 divided by 3643840?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 139997*s**2 - 10*s - 3. Let a be o(-3). Round a to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 7 - 14 = -2*m, 0 = -4*f + 3*m + 11. Suppose -u + b + 2 = 0, 452*u - 447*u - 3*b - 14 = 0. Put -2, f, u in descending order.\nAnswer: f, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - 0.1. Let y = -0.052 + 23.052. Let i = y - 25. Sort d, -3, i in decreasing order.\nAnswer: d, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 8*l = 18. Let w(g) = -g + 8. Let b be w(4). What is the second derivative of -3*s**2 - 3*s + b*s**2 + l*s wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 0*m - 658. Suppose -2*b + 4 = -t - 1, -2*t + 20 = 2*b. Find the third derivative of -7*d**b + m*d**4 - 4*d**2 - 94*d**4 wrt d.\nAnswer: -420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3ed4 (base 16) to base 12\nAnswer: -9384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-12) - 1\/(15\/16)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32501557 is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2\/9*p**2 - 2\/9*p = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827498.\nAnswer: 2, 7, 59107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/7 + 286*g\/7 - 5073\/7.\nAnswer: -(g - 267)*(g - 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/3, 2, -3, -0.026?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**2 - 8*f - 6. Let c(n) = -n**2 + 2*n + 1. Give 6*c(q) + j(q).\nAnswer: -9*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3230 + 525 = 0. Let c = 521 - d. What is c rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 102?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 divided by -34?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*b - 168. Solve -6*a + 11*a = -4*k - 22, -4*k - 20 = b*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16, -22, -20, 2, 56, 154?\n\"Answer: 2*g**3 - 8*g**2 + 4*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6878774200 to the nearest integer?\nAnswer: 82938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 2456?\nAnswer: -14736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 1022?\nAnswer: 102.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -303 - -251.4. Let o = p + 55.6. What is the nearest to -1 in -2\/35, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mrjmjmm?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/4 + 3*q\/4 = 0. Calculate q.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.5 and -0.08982?\nAnswer: -0.13473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 656112?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2434.\nAnswer: 2, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -k + 2 + 2*k**2 - 2*k**3 + 6*k**4 - k**4 + 3*k**3 + 10*k**4 in the form t*k**2 + m*k + b + i*k**4 + h*k**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u\/((u\/u**(2\/5))\/u*u)))))\/u*u*u**(-8)*(u**(-8)*u*u)\/u**10 assuming u is positive.\nAnswer: u**(-117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 19*t - 15*t. Let h(y) = -y**2 - 8*y - 7. Calculate the remainder when t is divided by h(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 1) + (12 - 7). Suppose -y = -i - 0. Let u(x) = -22*x - 71. Let g be u(-4). Solve 3*t - 3*f + g = t, y*t = 4*f - 23 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*k + 569*k = 61633 - 7564 for k.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 1*-58)*(8 + -6). Suppose 0 = -5*w - 3*v + o, 4*v - 47 = -4*w + 41. Suppose 0*j - w = -3*j. What is the lowest common multiple of j and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215978, 431950, 647912, 863858, 1079782, 1295678?\nAnswer: 1511540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 + -6 + (-2 - -15) + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5 = 7*d - 4*d, -5*d + 4*m = -13. Let z be (d\/(8\/(-30)))\/((-12)\/16). What is the closest to 0 in z, -4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 61338008 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/33*(-7)\/(-42)*(-174)\/(-4).\nAnswer: 29\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 - 13*v. Let u(q) = 2*q**2 - 7*q. Let c(b) = 4*b - 11. Let j be c(-5). Let l = 27 + j. Give l*k(y) + 7*u(y).\nAnswer: 2*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56 - 1 - 22 - 41 - 3*n - 6*n**3 wrt n.\nAnswer: -18*n**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 8*v**2 + 19*v + 180. Let z be f(-9). Let s = 10 - -8. What is the highest common divisor of z and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-2\/31)*f**1*f*f\/(f*f**(7\/2))*f*f\/((f\/f**(-3\/7))\/f*f))**(-1\/23) assuming f is positive.\nAnswer: f**(-59\/9982)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 - 44. Calculate the remainder when 123 is divided by (-1 - (m - 2))*(-25)\/2.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (0 - -17 - 9 - (-2 - -11))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21130 (base 4) to base 9\nAnswer: -741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1. Suppose k = -5*n - 0*n - 15. Let l = n - -8. Which is the third biggest value? (a) l (b) -2\/15 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j - 1. What is p(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01106 to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*u + 108 + 109 + 122*u**3 - 218 + 68*u + 276*u**3.\nAnswer: 398*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/756645 and -139\/3648480?\nAnswer: 266339040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -425 + 452. Solve 5*j + 14 = -s + 39, -g = -3*s - 3*j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8179516 to the nearest integer?\nAnswer: 2860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-315)\/(-7)))\/(-1)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 11*t - 45. Suppose 0*u + 2*u + t*o - 29 = 0, -o = 4*u - 67. Calculate the highest common factor of u and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 210481643 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/((-5 + 1)\/4*14). Does 0.1 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -24*x + 37. Let l(d) = 120*d - 183. Let w(q) = -21*a(q) - 4*l(q). List the prime factors of w(16).\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 2.1?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l*n - 9966*l - 4*n + 913 wrt l?\nAnswer: -n - 9966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -30*t**3 - 6*t. Let j(v) = 31*v**3 + 7*v. Determine 6*j(w) + 7*s(w).\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/21, -1\/1212, -2\/13, 26, -0.4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30589 or 30606?\nAnswer: 30606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**3 + 2*d - 3. Let s(r) = -13*r**3 + 9*r - 13. Suppose 775 - 175 = -5*u. Let k = -58 - -70. Let l be (k\/5)\/((-16)\/u). Give l*a(p) - 4*s(p).\nAnswer: -2*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -9*u**5\/20 + 3*u**2\/2 - 5*u. Differentiate z(f) with respect to f.\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.9 - -3. Let d = -406.321 + 423.31. Let c = d + -0.989. Is c smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghghx. What is prob of sequence xh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = -b - 480. Let s = b - -129. Suppose -2 = -3*o + s. Is o a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/10635812 and 87\/1500488.\nAnswer: 361617608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.905 rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 722 divide 679479853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 160\/12*12\/(-10). Let p be (-2)\/(-16) + 10\/z. Which is the closest to 0? (a) 1 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -11) + (4 + -6)*121\/(-22).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q - 13*q = -2*i - 126, -i - 4*q - 12 + 23 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/7 + 2\/7. Suppose -f - 3*v + 6 = -w, -5*f - 5 = -5*v. Let a be 4 + (f - 0 - 2). Solve a*u = 6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**5\/k*k**5*k**(2\/7)*k**(-3\/2)\/k*(k**(-1))**50\/((k**(-1\/4)\/k)\/k**1) assuming k is positive.\nAnswer: k**(-1147\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7)*d)**(16\/7)\/(d**(-6))**(-12\/5) assuming d is positive.\nAnswer: d**(-984\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-8)*40\/75*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(200) + ((sqrt(200) + 1*sqrt(200))*-1)**2).\nAnswer: -1600 - 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2 + 8. Let l be ((-30)\/(-25))\/(o\/(-30)). Suppose m + 2*a = 21 + l, -m - a + 42 = 0. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 1.941889.\nAnswer: -0.3883778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 113 = 7*s + 3*i, -5*s - 2*i + 599 = 0. Let o be 71\/2*2*1. Suppose -4*x - o = -s. Calculate the highest common factor of 24 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21.9 - -23. Let i = 0.6 + 0. Let h = i - d. What is the second smallest value in h, 5, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1373 = 2568. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -49, 35, 247, 629, 1223?\nAnswer: 2071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + u = 1188. Let i be (-96)\/u + 4\/6. Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -6, -8, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - u + 4 + (-2 + 3 + 0)*(-2*u + 1 - 1) - 4*u + u + 2*u - 6*u + u + 3*u + 4 - 5*u - 4 + 0*u + 0*u + 2*u + u - u + 2*u as h*u + v and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36113178?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12770288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1015 + 1654. Suppose -2549 = -4*f + a. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 16\/7 (b) -0.27 (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 274154657?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-241531.\nAnswer: 1207655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m + 45. Let d be f(-7). Suppose -4*l + d = -2*v, 0*l + 19 = 3*v + 5*l. Which is the closest to v? (a) 0.1 (b) -5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 413954427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - sqrt(396))*5 + (sqrt(704) - sqrt(44)) + 3 - sqrt(484)\/(4*sqrt(99)))**2.\nAnswer: -85*sqrt(11) + 79799\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbf when three letters picked without replacement from lllblllbblbfllbblb.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19639*m + 23333?\nAnswer: -19639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, q: 1, e: 1, p: 1, k: 1}. Give prob of sequence ke.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 2 - -12) + -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88853\/12 - -7400. What is the common denominator of -41\/2 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*j - 292, 2*j - 5*j - 395 = 4*l. Let b = 253 - l. Calculate the greatest common divisor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3221693057 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: Let u = -6 + 9. Suppose 0 = -f - u*f + 4. Solve -k - f = 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(272))**2 - (sqrt(68)*-2)**2*-4.\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -65025\/2 - 1\/2*x**2 - 255*x = 0. Calculate x.\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 23.954. Let f = k - 0.046145. What is f rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -5. Let l = t + 4. Suppose l*p - 5 = -1. Put -0.1, 0.2, p in ascending order.\nAnswer: -0.1, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/18 and 101\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2340.2 - -2340. Which is the second smallest value? (a) r (b) 11\/3 (c) 4\/5 (d) 4 (e) 0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -9*x - 26 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 17 = -o, 3*o + y = -0*o + 59. Suppose -5*m = 0, 4*m - 7 = a - 27. Let f = -9 + a. What is the remainder when o is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 0\/((7 + -5)*1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1643\/663 - 2\/39. Calculate the common denominator of -18\/131 and f.\nAnswer: 2227","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c = 10*c - 3*y + 9, -2*c - 3*y = -10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -50\/3*a**3 + 15*a + 154 + 15\/2*a**2. Let n(r) = 7*r**2 - 2*r - 2. Suppose -w + 2 = 4. Calculate w*z(j) - 15*n(j).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5 - 2.5. Which is smaller: 4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.4 - 5.3. Let w = 0.1 - f. Which is the biggest value? (a) 0.2 (b) 8 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 344769 and 20295?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14558315?\nAnswer: 5, 2911663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 8*s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10684583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*s**4*x + 205500*a*s**2*x**2 - 1237*a*x**2 + s*x**2 + 9*x**2 wrt s?\nAnswer: -24*a*s**2*x + 411000*a*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/9 + ((-2583)\/(-378) - 1*7)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2045, 2043, 2041?\n\"Answer: -2*p + 2047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, y: 3, u: 4}. What is prob of sequence uouu?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281793754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -58 + 58 - (-3 + (-54)\/(-16)). Which is the third smallest value? (a) -3\/5 (b) w (c) 5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + n. Let j be f(1). Let x be j\/((2 - 3) + 3). Suppose 0*d + 2*d - 254 = x. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*a - 3*a + 8*a)*(-a**4 - a**4 + 0*a**4) + 3*a**5 - 2 + 1 - 2*a**5.\nAnswer: -45*a**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 - -11) + 0*(0 + 1). Suppose 3*s - 4*w = 17, -s + r*w + 15 = 4. What is the nearest to s in -0.5, -1\/4, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 19 = -2*x, -2*x - x = -2*t. Suppose 5*q + x*k - 11 = 1, 2*q = 4*k. Factor 0*b**2 + 3*b - 2*b - b**q + 2.\nAnswer: -(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 7) to base 3.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 1848.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11337 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.17 - -0.17. Let x = 185613\/20 - 9285. Let u = x + 23\/5. Is u >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-35)\/((-3500)\/330))\/(0 + 2) and -35\/372?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1437115, 1436942, 1436647, 1436224, 1435667, 1434970, 1434127, 1433132?\n\"Answer: -c**3 - 55*c**2 - c + 1437172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -81874*m**3*w - 25849137*m**3 + 17*m**2*w wrt w.\nAnswer: -81874*m**3 + 17*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 2248?\nAnswer: 2253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 306951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2740*l**2 - 105*l + 57. Is p(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + (-2)\/(-4))*2. Let w be 3 + o*4\/3. Suppose -70*m = -77*m + 14. Solve -2*b = -2*t + w*t - 5, -4*b = m*t - 18 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = z + 1 + 10, 2*w + z - 3 = 0. Solve 0 = -d - w*d - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6 + 3 + 56*b - 43*b - 16*b + 9. Determine v(-9).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351402 + 350926 + 4*i**2 + 0*i**2 - 472*i = 0. What is i?\nAnswer: -1, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6207 is divided by 115?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*y + 2 = -3*q, 6 = 3*y. Let r be (3\/2)\/((-15)\/(-20)). Suppose 3*s = r*p + p - 21, -3*p + 17 = -q*s. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2538 + -1372. Is 53 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42354 and 1152.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 10*h**3\/3 - h**2\/2 + h - 34. What is w(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 213 and 137811.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11211022000211 (base 3) in base 9?\nAnswer: 4738024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 2605967.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 28 = -4*y, 1223*y - 1225*y - 10 = n. Suppose -2*g = -c + 524, 5*g + 5*c = -695 - 600. Sort g, 1, n in ascending order.\nAnswer: g, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12252, 12027, 11802, 11577?\n\"Answer: -225*c + 12477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, p: 2, n: 1, g: 2, e: 1}. Give prob of sequence pej.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1\/(-26)*4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (466*q - 466*q - 17*q**2)*(0 + 1 + 2 + q**2) to p*q**4 + d*q**3 + z*q + k + i*q**2 and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1502792 to the nearest integer?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-27) - 38\/(-9). Let f(u) = -5*u**3 + 2*u**2 - 1. Let a(j) = 6*j**3 - 3*j**2 + 2. Let t(q) = 6*a(q) + 7*f(q). Calculate t(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27574039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -41637432 divided by -10409358?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7 (b) -3 (c) -11 (d) -5\/3 (e) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 >= -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + sqrt(363) + (sqrt(363) + sqrt(363)*-3*-4 - sqrt(363)) - (4 + 3*(1 + sqrt(363))*-5))**2 + -3.\nAnswer: 5544*sqrt(3) + 284670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -251107111.741 - 40.\nAnswer: -251107151.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 2*f - 1. Let v be n(3). Suppose v*s = 6 - 2. Solve -p = 2 + s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-60)\/25)\/(-2))\/((-28)\/210)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 956693 to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*n + 30, n - 20 = -4*p + 1. Solve -2*w + 15 = 3*m, -m - p*m + 4*w = -3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.103 minus 18792399.3?\nAnswer: -18792397.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 31*l**2 - 39*l - 209. Let o be c(-32). Solve -z + 9 = 2*d, o = 7*d - 6*d + 4*z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 4*j - 67*j**3 + 66*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*j = -241*j - 6*c - 218, -4*c = -2*j + 92 for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 11650*s + 605799. Calculate g(-52).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 21 = -2*a, a + 12 = 4*i + 3. Solve 4*o - 5*j - 17 = 0, -2*o - o = -a*j - 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1114 divided by 136?\nAnswer: 557\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 34\/2 + (-14)\/14. Calculate the highest common factor of 144 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 530539334 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.9 + 2.4. What is the second biggest value in p, -5\/2, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1852683?\nAnswer: 3, 7, 88223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 751, 5, 1, 49, -8.\nAnswer: -8, 0, 1, 5, 49, 751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 25818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 871\/8 + -109. Let r = -0.35794 + -10.34206. Sort r, u, 1.\nAnswer: r, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.03 and 608180?\nAnswer: 608179.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -447635 * 44.\nAnswer: -19695940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 6. Suppose 5*y = x*m - 36, -y + 11 = -0*m + 2*m. Solve -5*v + 8 = -3*l, -m*l + 2*l + 20 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 divided by 1?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 527581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2 - (-144)\/32. Let g = 125 - 124.5. What is the closest to 1 in -9\/4, g, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100 - 93. Suppose 0 = 14*c - q - 21. Suppose 0*j + c*j = -4*z + 1070, 0 = -z - 2*j + 260. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6697*g + 334860. Calculate a(50).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -l - 6, 1 = 4*n - 3*l + 4*l. Suppose 0 = q + n - 3. Suppose 5*r + q*g + 4 = 0, -2*r + 3*g - 1 = -7. Is r != 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 12) to base 14\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2914 + -1955. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1729341 is divided by 407?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29469, 58933, 88397, 117861, 147325?\nAnswer: 176789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**3 + 23*z**2 - 19*z - 13. Let o be t(16). Let l = o - 156694\/7. Let g = l - -17375\/42. Find the common denominator of g and 46.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106016 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11*-812294.98\nAnswer: 8935244.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3 - 1008*d**2 - 127008*d = 0. Calculate d.\nAnswer: -252, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htkn when four letters picked without replacement from {k: 4, n: 2, h: 1, t: 1, s: 3}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*v - 2 - 9*v - 83*v in the form c*v + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14341 (base 6) to base 15\nAnswer: a2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4 - 25. Let o be ((-6)\/m)\/(6\/(-14)). Solve -2\/3*t + o*t**3 + 2\/3*t**2 - 2\/3 = 0 for t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 171094 and 3608.\nAnswer: 28059416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 142 + 10)*(-2*j + 2*j + j - 1) as b + v*j and give b.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/908 and -3\/7264.\nAnswer: 7264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 97*x**2 - 6*x + 12. Let t(u) = 10283*u**2 - 637*u + 1274. Let z(p) = -637*k(p) + 6*t(p). Let m(v) = -2*v**2. Calculate z(m(b)).\nAnswer: -364*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 280.172 + -274.3. What is g rounded to one decimal place?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -199.4 + 200. Let i = -2.7 - 1. Let l = i - -3.8. Which is smaller: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 + 3*c**2 - 692317*c + 1384633. Calculate r(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - t. Suppose -4*m - 16 = t, -j + 22 + 17 = -2*m. Round j to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -198 - -226. Which is the closest to 1? (a) p (b) -1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1 = -3*n - 2, 15 = -3*n + 3*f. Sort -5, n, 3 in increasing order.\nAnswer: -5, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 7171 = -p, 28*f + 28744 = 4*p + 23*f. Let v = 10784 - p. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.2829135 - 92.7171635. Let o = -109 - w. What is o rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/30*(-10)\/(-16)*18?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1120 divide 40320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 + 42*k + 397. Is t(14) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.396, 0.4, -0.06?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 607298, 2429297, 5466094, 9717797, 15184514, 21866353, 29763422?\n\"Answer: 18*b**3 + 607291*b**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**3 - 2*f**3 + 4*f**3)*(-f - f + 0*f) - 60*f**4 + 103*f**4 - 52*f**4 in the form k*f**3 + p + t*f**2 + z*f + l*f**4 and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9061686?\nAnswer: 2, 3, 167809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18853 and 4626748.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + -0.1726921374?\nAnswer: 55.8273078626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 4:27 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u - 196 = 524. Calculate the remainder when 173 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t - 5533 + 5504 = 0. Let a = 0.3 - -0.1. What is the nearest to t in a, 9, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*n + 1341745 - 167960 = 0. What are the prime factors of n?\nAnswer: 5, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/6 + (-15)\/9. Suppose 0 = -5*m + 4*m. Let y(g) = 5 + m*g**2 + g**2 - 3. Let s(h) = h. Give w*y(a) - 2*s(a).\nAnswer: -a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5602, 6005, 6836, 8311, 10646, 14057, 18760, 24971?\nAnswer: 32906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 3. Let h be u(-4). Let z(p) = -p**2 + 11*p - 49. Let x be z(5). Sort h, x, 1 in descending order.\nAnswer: 1, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + t**2 + 11*t - 7. Determine k(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.77258 rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -34*b - 138. What is k(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*q**4 + 30*q**3 + 149*q**2 - 3255119*q?\nAnswer: -600*q**2 + 180*q + 298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5 + 0 + 1)*(-4 + 0 + 5) + 0 + 2 - 4)*(4*k + 0*k - 2*k) in the form t*k + g and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7*m**2 + 1156\/7 - 68\/7*m.\nAnswer: (m - 34)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108406 + -64644. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30936, 30939, 30948, 30963, 30984, 31011?\nAnswer: 31044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -4. Let t(s) = -2*s**2 + 3*s**2 - s**v + s**2. Let d(a) = -a**2. Calculate t(d(m)).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33 - n**2 + 0*n**2 + 13*n**2 + 13)*(-4 - 1 + 4) to t + a*n + j*n**2 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -158.784 + -2.216. Which is bigger: o or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4*95\/20)\/(7\/47999) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539 = 34*t + 97 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/((-324)\/30))\/((-1)\/6). Let s(q) be the third derivative of 0 + 0*q + 1\/20*q**k + 1\/4*q**4 + 0*q**3 + 2*q**2. Let s(m) = 0. Calculate m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**5 - 29542*n**4 + 43671926*n**3 - 104695664*n**2 + 78493693*n - 17440418 = 0.\nAnswer: 2\/5, 1, 2953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1569914*g**5*v - g**4*v - 115136*g*v - 4*g + v wrt g?\nAnswer: -31398280*g**3*v - 12*g**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w - 3. Let s = -5 - -7. Let r be b(s). Suppose 100000 = r*n + 2*n. Round n to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302298.\nAnswer: 2, 3, 50383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/(8\/(-886)) + (-44)\/88?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*g*y**4 - 2*g*y - 32*g + 23*y**5 - 2*y wrt y.\nAnswer: -60*g*y**2 + 460*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 10, 17, 26, 37?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 27*g**2 + 31*g + 87. Let x be s(-28). Let -2*p**3 - 34*p - 5 + 7*p**x - 33*p**2 + p**3 - 15 + 25*p**2 = 0. Calculate p.\nAnswer: -1, 10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53.1 - -53. Let q(c) = -c**2 + 14*c + 3. Let o be q(7). Suppose -3*y - o = -61. Put y, 2\/3, z, -4 in descending order.\nAnswer: y, 2\/3, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*c + 236*c + 49*c + 1806 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -b0b1a (base 12) in base 4?\nAnswer: -320011012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34323527?\nAnswer: 7, 17, 288433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80020 is divided by 435.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 + 3*z**2 + 5*z + 1. Suppose 0*y = -2*y. Suppose -16 = 4*h - y*h. Is k(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(-3))\/((-20)\/30). Suppose 0 = 3*t - 9. Suppose -3 = t*h + 9. Is j equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 2:27 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*l + 150 + 1891790*l**2 - 1891785*l**2 + 54*l = 0.\nAnswer: 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9*l**2 + 256*l - 256. Let m be p(1). Solve -m*d = 759 - 723 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1543818 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 36 = -0*m. Let t be -7*1 - m\/(-4). Let k be (6\/t)\/((-21)\/(-28)). What is the closest to k in 0.4, 4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4154 and 1798.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 69 = 4*n. Suppose -3*d = -263 + 59. Calculate the remainder when d is divided by n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o - m = -19, 0 = 4*o - 3*m - 8. What is the remainder when 9 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 0*c + 3 + 2*c - c**2 + 3 + 4*c. Let n = 13 - 8. List the prime factors of i(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 12. Let k be a(-6). Let q(z) be the first derivative of z + 0*z**3 + k*z**2 - 1\/4*z**4 - 1. Find the first derivative of q(g) wrt g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 954.543177s to weeks.\nAnswer: 0.0015782790625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.061 (b) 1 (c) 0.1 (d) 5 (e) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-2) + 5*(-2)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -39305?\nAnswer: 4\/39305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-30)\/9)*(-8)\/(-1584)*27?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 118*b**3 + 2*b - 2. Is i(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 247240.\nAnswer: 494480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express h + 1630*h**2 - 2*h**3 + 2 + 1326*h**2 - 2655*h**2 in the form y*h**3 + g*h**2 + o*h + r and give g.\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2096868?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 208*s - 408.\nAnswer: -2*(s + 2)*(s + 102)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70738846?\nAnswer: 2, 23, 1537801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdzdpl. What is prob of sequence dz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3.645307 centuries?\nAnswer: 364.5307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -37, -261, -861, -2023, -3933?\n\"Answer: -31*d**3 - 2*d**2 - d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 18 + 33 = 0. Let j(q) = q + r*q - q**2 - 3*q - 2*q. Let x be j(0). Solve x = -4*w + 4*h - 40, 0*h = -3*w + 5*h - 40 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 5*t**2 - 5*t - 4. Let h be b(6). Let m be -2 - (48\/(-9))\/h. Which is greater: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8576)\/(-40) + 12\/(-5) + 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 718*o + 24. Let y be u(15). Suppose 0 = 2*t + s + s + y, -4*t - 2*s - 21594 = 0. What is t rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*c**2 - 15*c**2 + 2*c**2 + 6 + c**2 to the form n*c**2 + w + p*c and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 20, 4*v + 5*k + 10 + 3 = 0. Solve 4*p + 3*g = 25, -3 = v*p + g - 6*g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -839*x + 689*x - 5842*x.\nAnswer: -5992*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 7:06 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 1.76, 0.5, -27, -10, 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-2 + 1)*(2 - 2). Is i bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.87925 years to millennia.\nAnswer: 0.07187925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**2\/11 + 1002*q\/11 + 1004\/11 = 0?\nAnswer: -1, 502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1653*j**3 + 26*j**2 - 4*j + 1428. Let g(m) = -3301*m**3 + 56*m**2 - 9*m + 2857. Let n(a) = -6*g(a) + 13*w(a). Differentiate n(u) wrt u.\nAnswer: -5049*u**2 + 4*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gggdgggddg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -4*t - 20. Calculate the smallest common multiple of 19 and t.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 22 - 2. Let c be (3 - 1)*(0 - -2). Solve -16 = -d + 3*t - b*t, 4*d = -c*t + 32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 + 2*q. Suppose -36 = 7*w - 351. Let h(z) = 65*z**2 + 45*z. Determine w*j(i) - 2*h(i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 2*c + 7. Let t be h(-9). What is the highest common divisor of t and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -482 + 502. Let k be ((-3)\/(-2))\/((-1)\/(-2)). Solve x = k*d + 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 24. Let y be x(13). Suppose -51*a + 46*a + 25 = 0. Let s = -5 + 8. Solve 0*v - b = 4*v - y, -s*b = a*v - 19 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -41*b**3 + 55*b**2 + 8*b - 61. Let t(q) = -12*q**3 + q - 2. Let c(a) = -3*t(a) + v(a). Determine h so that c(h) = 0.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.29895 - 0.00105. Sort 30\/11, o, -0.03.\nAnswer: o, -0.03, 30\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 4*r + 7 = 4*j, 5*j - 4*r = -7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/2))\/a)\/a*a**0*a**(-4\/7)\/(a*a\/(a**(-9)\/a)) assuming a is positive.\nAnswer: a**(-197\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*g**2 + 8445*g - 956*g - 6*g**2 - 21*g**2.\nAnswer: -g**2 + 7489*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103561.\nAnswer: 103561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 12 = -8. Solve 0 = 2*z - 14 + o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/(1\/((-24)\/(-9))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s - 32. Determine c(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 - 39. Suppose 0 = -5*o + 3*u + 7, -2*o = -o - 3*u + v. What is the third derivative of -9*j**2 - 6*j**2 - 16*j**4 + o*j**2 - 2*j**2 wrt j?\nAnswer: -384*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 11*b + 3*z - 30 = 0, 2*b - 34 = -4*z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m. Let w(k) = k**2 + 23*k. Determine w(g(t)).\nAnswer: 36*t**2 + 138*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 493*y**4\/12 - y**3\/6 - 931*y**2. Let c(p) = p**2. Determine c(r(s)).\nAnswer: 972196*s**2 - 1972*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 110566 - 3037?\nAnswer: 106528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 1)*(-4)\/(-8). Suppose 0 = -o + i, -4*o + j*o - 3*i = 21. Let z be (-6)\/9*3 - -1. Sort o, z, 2 in decreasing order.\nAnswer: 2, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -0.3 (c) -3\/4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 16264\/380 + 4*-5 + -23\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -198 - -313. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + -1 - 20\/(-1). Suppose 4*k + 4*x = 8, -5*x - v = k - 3*k. Let q(m) = -m + 2 + m**2 + 4 - k - 1. Give q(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*u - 72*u - 11*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, -1\/20, 0.1, -5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*u + 212*u - 1 + 0.\nAnswer: -27*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -67*z + 60*z. Calculate the smallest common multiple of z and (-5 + 1)\/((-2)\/8).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 6940 (b) 4 (c) -1 (d) -101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y - 99*y = 77*y + 2*y + 154 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/6 and -53\/726.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126129, 126138, 126151, 126168, 126189, 126214?\nAnswer: 126243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8649056059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301040 = 1276*y - 5039*y for y.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3 - 2. Let f = 1985\/3 - 661. Which is the smallest value? (a) -4 (b) f (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 146*b + 1404. What is t(-8)?\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 8*u - 7. Let s be x(6). Suppose -3*b + 3*z = -17 - 37, -s*b + 90 = 5*z. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 884, 831, 778, 725, 672, 619?\n\"Answer: -53*x + 937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.29 - -2.31. Let p = j + -2.5989. Round p to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (76\/8)\/((-1)\/(-2)). Let x be 1\/4 - r\/(-4). Suppose -x*j + j = -32. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 - 8352200*x\/7 - 8352198\/7.\nAnswer: -2*(x + 1)*(x + 4176099)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z. Suppose 0*c - 4*c + 3*c = 0. Let m(s) be the third derivative of 0*s - 4*s**2 + 0*s**3 - 11\/24*s**4 + c. Calculate m(h(u)).\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-105*25\/(-525)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37915.29 nanoseconds to microseconds.\nAnswer: 37.91529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*y + 29 = 0, -17*y + 18*y + 17 = 3*r. Suppose 0 = 3*z + 5*i + 139205, 2*z - 4*i = r*z + 92804. Round z to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/3, 1\/3, -1\/2, -159?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3945 and 600?\nAnswer: 157800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - 5\/15*-9. Solve 9*m + b + 8 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**26\/(p**(-13)\/p))\/(p\/(p*p**4*p))**(-43) assuming p is positive.\nAnswer: p**(-175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-810)*135)\/(1\/(-12))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*j - 128*j = 2035. What are the prime factors of j?\nAnswer: 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 12058, 5 in increasing order.\nAnswer: -4, 5, 12058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 603\/63 - (-124)\/(-217)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h + 2 = 0. Let i = -8 + h. Calculate the common denominator of 7\/(-14)*94\/i and -97\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l + 62. Let f be v(30). Solve -7*a + 16 = u - f*a, 0 = -4*u + a - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 508260 (base 9) to base 8.\nAnswer: 1114355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, t: 3, o: 8}. What is prob of sequence oo?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-2)\/(-19) + 5697\/(-513))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.26 - 1.26. Put z, -0.9, -0.3 in descending order.\nAnswer: z, -0.3, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15101*q + 7549*q + 50 = 5*y - 7557*q, 0 = -2*y - 5*q - 43 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 60545 + -4?\nAnswer: 60541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3168)*5 + sqrt(22) - ((4*sqrt(198) + sqrt(198) + sqrt(198))\/sqrt(9) - sqrt(22)))\/((sqrt(99) + sqrt(99)*1)*-2*-5).\nAnswer: 14*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 2:22 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*h + 2*h - v, 2*h - 16 = 4*v. Let o(x) = 3*x**2 - 1. Let g(i) = 10*i**2 - 3. Let f(w) = -2*g(w) + 7*o(w). What is f(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 2*b. Let u be j(6). Suppose -5*z - g - 1 = -16, -z + 4*g + u = 0. Let q = -8 - -12. Is z bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 66.2607 nanometers?\nAnswer: 0.0000662607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*d + 8 = 4, 3*i + 5*d = 38. Calculate the remainder when 789 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3220, -3218, -3216, -3214?\n\"Answer: 2*f - 3222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213098*j - 862*j - 18950 + 18950 + 396655*j.\nAnswer: 608891*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.2 plus 1.526?\nAnswer: 29.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5277 + 9988. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 276, 636, 1150, 1824?\nAnswer: 2664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7512, -15419, -23326?\n\"Answer: -7907*m + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 55*x**3 + 203*x**2 - 3*x + 11. What is the derivative of w(a) wrt a?\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 7*i - 3. Let m be l(6). Differentiate 1 + 1 + 2*s**3 - m - s**3 with respect to s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 784, 5, -3, 3 in increasing order.\nAnswer: -3, 3, 4, 5, 784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**5\/80 - 23*i**4\/48 + 11*i**3\/12 + 46*i + 3. Factor h(a).\nAnswer: a*(a - 22)*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2392582 to the power of 1\/2, to the nearest integer?\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 136*q - 114*q - 110 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**4\/6 + 48560*b**2. Let k = 6 + -4. Let g(j) = -3*j**k + 0*j**2 - j**2. What is x(g(m))?\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2 + sqrt(208) - sqrt(208)) + sqrt(208)) + (sqrt(208) + sqrt(208)*-2)**2 + -1 + 0.\nAnswer: -16*sqrt(13) + 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m**4 - 3*m**2 + 6*m - 3. Let f(v) = -7*v**4 + 2*v**2 - 6*v + 2. Let o(k) = -3*f(k) - 2*r(k). What is the second derivative of o(n) wrt n?\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.2 + -8. Let b = -1.5 - -2. Let k = -11 + 11.4. What is the closest to 2\/3 in c, b, k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-168)*14)\/(3\/18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26318529*b**2 - 11847162?\nAnswer: -52637058*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 13\/6 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 46184.\nAnswer: 369472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 41596625.\nAnswer: 41596625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -u + 20. Suppose -4*f - 3*h + 1940 = 0, u*f - 3*h - 1587 = 353. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2749284 to the power of 1\/2, to the nearest integer?\nAnswer: 1658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 12. Let i = -6 - -6.1. Let y = i - -0.9. Which is the biggest value? (a) d (b) y (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 4) to base 6\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*s + 0 = -2, 0 = s - 2. Suppose -4*q + b*a = -100, 5*a + 35 = 7*q - 5*q. Suppose -13 - 5 = -3*z. What is the greatest common divisor of q and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -2\/21, -188, 0.0108, 0 in decreasing order.\nAnswer: 0.04, 0.0108, 0, -2\/21, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = -2*q + 181. Let c = 0 + 2. Calculate the greatest common divisor of c and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.696 + 0.304. Which is the third biggest value? (a) w (b) 18\/17 (c) 0.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -35*j**3 + 26*j**2 - 5*j + 13. Give p(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -185936*o - 841. Is f(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.06 * 39.1.\nAnswer: 354.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m. Let c(b) = -b + 3. Suppose 10 = 2*q - 4*f, 8*q = 3*q + 3*f + 11. Let n(y) = q*c(y) - 4*r(y). Let z = 519 + -516. Give n(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 20\/151, 0.17 in descending order.\nAnswer: 0.3, 0.17, 20\/151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -70*c. Let i(s) = s. Determine a(i(u)).\nAnswer: -70*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 39, -2, -4, 0.2, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 9*d - 6*d + 3*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*z**2 + 40*z**2 + 1682*z - 1682*z.\nAnswer: 71*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2. Let v(y) = -y**3 + 5*y**2 + 8*y - 4. Let r be v(6). Let f(l) = r + 15*l - 8. Calculate n(f(c)).\nAnswer: -225*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -25525875 - -30696\nAnswer: -25495179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 less than or equal to -12255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-9) + (-48)\/(-18). Let b = c - -3. Solve -5*j + 0*j = -4*z + b, z = 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10466525951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 107*q**2 + 20*q - 246. Is t(9) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -244, 4\/9, 0, -1.3 in decreasing order.\nAnswer: 4\/9, 0, -1.3, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66379, -132764, -199155, -265558, -331979, -398424, -464899?\nAnswer: -531410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**4 - 2*h**4 + 0*h**4 + (-2*h - 2 + 2)*(-h + h - 2*h**3) - 1208*h**4 + 200269*h**2 - 200269*h**2.\nAnswer: -1203*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + (1 + sqrt(4032) - sqrt(4032)) + sqrt(4032)*1*1*3)**2.\nAnswer: -288*sqrt(7) + 36292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25080 and 11000.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1698 in -0.2, 1, -0.058, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - k + 4 - 1, -3*k = 3*n + 9. Suppose 0 = -2*q - q + 2*r + 3, 0 = 2*q - n*r. Solve -162*p**2 - 43*p**3 + 174*p**2 - 5*p**q + 21*p**4 = 0 for p.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3516 is divided by 1168?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.08 (b) 2\/97 (c) 31 (d) -326\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 + 11*h**2 + 3*h - 3. Let o be q(6). Let m = -556 + 558. Sort 12, m, o in ascending order.\nAnswer: o, m, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -107*s + 3 + 107*s - 3*s**2.\nAnswer: -3*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264196*z**4 + 8995077100*z**3 + 9135346656*z**2 + 140550128*z + 544768 = 0. What is z?\nAnswer: -1, -2\/257, 34048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3000 (base 5) to base 13\nAnswer: 22b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -584796, -584799, -584802, -584805?\nAnswer: -584808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 - 19*i**2 + 8*i + 62. What is j(-11)?\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -1411 - 2501. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 2:22 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**2. Suppose 5*v - 20 = m, m - 4*v = -0*m - 16. Let h(y) be the third derivative of 0 - 1\/24*y**4 - 2*y**2 + m*y + 0*y**3. Calculate p(h(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**7\/105 - r**4\/8 - 10*r**2. What is the second derivative of d(o) wrt o?\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -20*l + 36. Let i(f) = 4*f - 7. Let t(v) = 16*i(v) + 3*q(v). Let s be t(13). Let d = -27 + s. What is the remainder when d is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -19. Suppose 3*q = 12, -2*q - 3 = -4*s + u. Suppose -7*v + 6*v - s*d = -11, 5*v + 2*d = 124. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -432085*k**3 - 2069*k**2 + 116 wrt k.\nAnswer: -2592510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6943410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9387*v**2 - 9380*v**2 - 9380*v**2 + 28153*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = d. Suppose 0 = -2*l - d*l + 22. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**4\/24 + 5*z**2. Let q be h(1). Let k = -1\/18 + 8\/9. Which is the nearest to 0.1? (a) k (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6*y**3 - 2*y**2 + 4*y - 59. Let d(n) = -n**3 + n + 3. Determine 4*d(x) - q(x).\nAnswer: 2*x**3 + 2*x**2 + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 10 - 2*s**2 + s**2 - 8. Let p be ((-4)\/3)\/(2\/(-6)). Let d = -2 + p. Calculate q(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5570 (b) 10 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6616 + 6615. Which is smaller: m or 8\/131?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*t**2 + 420*t**3 - 1 - 5*t**2 + 1 - 139*t**3 to the form w + h*t + s*t**3 + g*t**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 381469489 to the power of 1\/3, to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -1\/3*j**3 + 0*j**4 + 1\/30*j**5 + 0*j + 0 - j**2. Factor f(i).\nAnswer: 2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/27)\/(p**(-22)\/p))\/(p**(1\/7))**(2\/51) assuming p is positive.\nAnswer: p**(74119\/3213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 12 = u + 2*t, -5*t = -u - 8. Suppose -4 = 2*z - s + 3*s, u*z + 4 = -5*s. Let l be -2 - z\/(-6)*0. Sort l, -3, 1 in decreasing order.\nAnswer: 1, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -633*0.216984.\nAnswer: -137.350872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 0.0612\nAnswer: -0.01836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (330\/(-6))\/(20*(-37)\/740)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-126)\/15)\/((-3)\/10). Suppose 0 = -2*r - 3 + 11. Suppose -r*n + 17 = -3*b, b + b = 2. Solve n*s + 8 = w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -11) + 1 + 0 + -5 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89931, -89930, -89929, -89928, -89927?\nAnswer: -89926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 154610297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 8. Suppose p + 0 - 13 = -2*u, 4*p = -j*u + 58. Solve 4*m - 12 = -4*o, 0 = 2*m + 8*o - 3*o - p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15115131 (base 7) to base 6\nAnswer: -50413130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0532 + -0.0532. Which is the nearest to -2? (a) -2\/11 (b) -2 (c) 5 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120933 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 608214747 minus 724.27?\nAnswer: 608214022.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.8, 1, 0.4, 0.173, -4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/24)\/((-3)\/(-4)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36\/7*p**2 + 6*p**3 + 0 + 0*p - 16\/7*p**4 + 2\/7*p**5.\nAnswer: 2*p**2*(p - 3)**2*(p - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, u: 5}. What is prob of sequence uluu?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 z when two letters picked without replacement from {h: 1, z: 6, t: 2, v: 4, f: 2, n: 4}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 7429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + sqrt(17) - sqrt(17)) + 4 - (sqrt(51)\/sqrt(3) + -4 - sqrt(17))*6.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9041374 divided by -17\nAnswer: 9041374\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/18)*g)**(-39) assuming g is positive.\nAnswer: g**(-247\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.6 - 10.3. Suppose -25*d = -28*d - 147. Let k be ((-2)\/6)\/(d\/(-21)). Sort k, -9, q, -2.\nAnswer: -9, -2, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5707 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.279 - -0.369. Sort k, 0.5, 2\/7.\nAnswer: k, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 92 + -3a9?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2844611*j**4 - 52837*j**2 + 1?\nAnswer: 68270664*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 128*w**4 - 5*w**3 - 5*w**2 - 14. Let t(v) = 63*v**4 - 2*v**3 - 2*v**2 - 6. Let g(j) = -2*h(j) + 5*t(j). Differentiate g(a) wrt a.\nAnswer: 236*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3901, 3893, 3879, 3859?\nAnswer: 3833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/28*(-77)\/33*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 + 47 = 3*l. Let z = l - 3. Suppose -1014 = -2*f - z. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20955 + 2?\nAnswer: 20957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2703 and -0.36?\nAnswer: -973.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1157474 (base 10) to base 8\nAnswer: -4324542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -350 + 350.177. Let f = -1.177 + p. Which is the third smallest value? (a) 7\/4 (b) f (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17926 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4201244 - 100?\nAnswer: -4201344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = l - 0*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**4\/12 + 4*f**3\/3 - f**2. Let k be 1*(3 - 5)*-2. Let z be o(k). Solve z = -4*c + c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7085*i + 7095*i - 150. Solve 0 = -5*w - o - 26, 20*o = 3*w + i*o + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (23 + -14) - (1 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*i**2 - 214*i - 50*i**2 + 188*i wrt i?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c - 7266182*c**2 + 71*c + 7266180*c**2.\nAnswer: -2*c**2 + 87*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16ae0 (base 15) in base 5?\nAnswer: 4321320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/5))**(1\/10)*(u\/(u**(1\/7)*u))\/(u\/u**(-2\/7)) assuming u is positive.\nAnswer: u**(-479\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (200 + 256 + 67 - 130)*(w + 0*w - 3*w).\nAnswer: -786*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (0 - 4) - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 306\/252)\/(69\/161).\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*x - 125*x - 24 = 0. Which is the fifth smallest value? (a) 5 (b) x (c) -5 (d) -3 (e) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**5 + 5340*i**4 + 2381631*i**3 + 4741926*i**2 = 0.\nAnswer: -889, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1560\/480)\/((-2)\/(-8))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3 - (-84)\/(-54). Let v = 728 - 728. Is o < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 4:00 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 888059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15750 or 0.73?\nAnswer: 15750","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4745 (b) -109 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -948*k = -960*k + 21864. List the prime factors of k.\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11371 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/4*64*11\/330. Factor 16\/5 + 1\/5*q**2 + o*q.\nAnswer: (q + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11884\/(-231738))\/((-3)\/(-13))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.7 + -6. Let o(t) = -26*t - 1. Let b be o(2). Let j = -691\/13 - b. Put 2, a, j in increasing order.\nAnswer: a, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + u - u)*(0*u - 2*u + 0*u)*(-20 + 13 - 4*u + 3*u).\nAnswer: -4*u**3 - 28*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 199.543 meters in centimeters?\nAnswer: 19954.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m + 0*m**5 + 0*m**4 - 5\/2*m**3 + 0*m**6 - 1\/5*m**7 - 67*m**2 + 0. Find the first derivative of f(i) wrt i.\nAnswer: -168*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 8:55 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/2832449? (a) 0 (b) -0.2 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27422 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 23 = -d, 4*d = -d - h - 20. Let o = 17 + -21. Which is smaller: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 8, -2*b + 4*s - 8 = s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 306 - 496. Let h = -408 - k. Let y = h - -217.99546. What is y rounded to 4 dps?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - (sqrt(108) - (sqrt(108)*-3 - sqrt(108))*-2))\/sqrt(6) + (sqrt(180)\/(1*sqrt(10)) - (sqrt(18) + sqrt(18)*1)*-6))*1 + -2.\nAnswer: -2 + 63*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - z + z)*(-z - 4 + 4) + (1 - 1 - 2)*(-5 + 5 + z**2) in the form h*z + m + l*z**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-3*(2 + (sqrt(128) - (sqrt(128) + 0 + sqrt(128))) + sqrt(128)) + -1*(sqrt(128) - (sqrt(128)*-1 + 5) - sqrt(128)))*-3)**2.\nAnswer: -2322 - 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3780)\/210*(-1 - (-6)\/4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 + 206 - 56*m**2 + 213 - 416)*(3 - 2 - 2)*(3*m + m - 6*m).\nAnswer: 4*m**5 - 112*m**3 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/921 + 17198\/2763. Suppose 896 + 1204 = 7*q. Let s = q - 1456\/5. Find the common denominator of s and v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -4*n - 4*p, 5*p - 7*p = 5*n - 322. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 5*d**2 - 3*d - 5. What is c(6)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-2 - 1) - ((3733 - 3770) + 1 + 98)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1133233 (base 4) to base 5.\nAnswer: -144002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 204630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztzr when four letters picked without replacement from {r: 1, z: 12, t: 5}.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 976 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31532 is divided by 225.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 6:28 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6898 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + v + 12, 0 = 3*i + 7*v - 3*v + 22 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27563\/16 - -1717. Calculate the common denominator of r and (1*106\/(-4))\/3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 3*s**2 - 2*s. Let k be j(-3). Let m = 178 + -154. What is the greatest common factor of m and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxs when three letters picked without replacement from zxgbbbbsbbsbxxxzbsbs.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*o - 598 = -724 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 5, -4, 10802, -12, -6 in ascending order.\nAnswer: -12, -6, -5, -4, 1, 5, 10802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2600 - -100. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2013 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**2. Let v(m) = -9*m**2. Let d(a) = a**2. Suppose 105 = 56*s - 63*s. Let f(z) = s*d(z) - 2*v(z). Determine u(f(h)).\nAnswer: 36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**5\/20 - z**4 + 2*z**3 + 3*z**2\/2 - z. Let q be r(9). Round q to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -358*h**2*s**2 - 11458093*h**2 - 33689*h*s**3 wrt s.\nAnswer: -716*h**2*s - 101067*h*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343639769.\nAnswer: 11, 89, 351011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k - 7. Let q(r) = -6*r - 6. Let w be -3 + (3 - (-36)\/(-6)) - 0. What is w*q(z) + 5*a(z)?\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 64 and 24317\/385 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 225370.3 micrograms?\nAnswer: 0.0002253703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 0*l**2 + l**2)*(-3 + 2 + 2)*(-l + l + 2*l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 4930 = 2*s. Suppose -3*l - s = -248. Let j = l + 426. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2. Suppose b*i = -2*i - 32. What is the tens digit of (2 - i) + -4 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g*p**4 - 5*g*p**3 - 949*g*p - g - p**4 - 732*p**3 + 6*p**2 wrt p?\nAnswer: 24*g*p - 30*g - 24*p - 4392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**5 + 50*s + 49*s**2 - 49*s**2 + (s**2 - 3*s + 3*s)*(2*s**3 - 5*s**3 + s**3)*(0 + 6 + 1).\nAnswer: -12*s**5 + 50*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -895*v**2 + 71595*v + 400 = 0. What is v?\nAnswer: -1\/179, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 124168869 a multiple of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 73071749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 3 = -4*u. Let l(b) = b**3 + b - 1. Let g(t) = -4*t**3 + 11 - 82*t + 79*t - 7. Calculate u*l(o) - g(o).\nAnswer: o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -515 times -0.034?\nAnswer: 17.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-9\/7)\/w**(1\/25)*(w**(-4\/3)\/w)\/w**6 assuming w is positive.\nAnswer: w**(-5071\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 180*h**2 - 89*h**2 - 90*h**2. Let r(s) be the third derivative of -s**4\/24 - s**2. Give l(r(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in 4\/7, -2, 1\/4, -3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, 4, -18.\nAnswer: -18, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1870 and -57\/187.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 555611966?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -214, 3, 2, 4, 35.\nAnswer: -214, 2, 3, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/5))**(-29)\/(b\/b**(5\/8)*b*(((b**(-6)\/b)\/b)\/b)\/b))**(-38) assuming b is positive.\nAnswer: b**(2261\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 30*x**3 + 4*x**2 + 2*x. Let h be p(3). Suppose -4*r + 928 = -h. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5267 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z - 3. Let i be d(2). Suppose 1 = -i*x - 2. Is x > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 2410310214?\nAnswer: -2410310222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**3 + 3*a**5 + 3*a**3 + 2*a**5 + 5*a - 5*a + (0 + 0 + 4)*(2*a - 2*a**5 - 2*a).\nAnswer: -3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 294*l - 5. Is f(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -35. Determine f, given that 38*f - j*f - 200*f**4 + 155*f**2 + 142*f + 45 - 80*f**5 - 85*f**3 = 0.\nAnswer: -1, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 + 0. Suppose 8*v = k*v - 29488. What are the prime factors of v?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**8\/112 + o**7\/10 + 3*o**6\/20 - 7*o**5\/5 - 5*o**4 + 11*o**2 - 3. Find a, given that p(a) = 0.\nAnswer: -5, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 + -0.48. Let j = 0.2 + x. What is the second smallest value in -2, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -310 divided by -62\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiyi. Give prob of picking 2 i.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 8*c**4 + 896*c**3 + 24154*c**2 - 51991*c. Let x(s) = 4*s**4 + 448*s**3 + 12078*s**2 - 25995*s. Let g(z) = 3*h(z) - 7*x(z). What is b in g(b) = 0?\nAnswer: -57, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -592, 582, 200 in decreasing order.\nAnswer: 582, 200, -592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2. Let n(y) = 66*y + 461. Let m be n(-7). Determine v(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -8.4. Which is the closest to 1\/3? (a) l (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*w - 7. Solve 0 = -2*f - w + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y. Let n(v) = 476475*v. Determine j(n(k)).\nAnswer: -952950*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) -14 (c) 1\/3 (d) -23 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 9:01 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*v + 3*x, -5*v - x = x - 30. Suppose v*i = 4*i. Let a(y) = -y. Let g be a(i). Solve -k - 3*k = -d, 3*k = g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*(-996)\/664*12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/61907020 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 112 (b) 12 (c) -4 (d) 6 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33084464261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000570683128 to 6 decimal places.\nAnswer: -0.000571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/15225 and -137\/1662570.\nAnswer: 8312850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -966 - -1267. Let b = s + -276. Sort -3\/4, 0.2, 2, b in decreasing order.\nAnswer: b, 2, 0.2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 0*f**2 + 3*f + 1\/4*f**4 - 10 - 2*f**3. Is b(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*d - 39. Suppose 621 = 3*m + 3*o, -o - 2*o = -3*m + 615. Let x = 349 - m. What is the highest common factor of d and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from timrtccrtc. Give prob of sequence mt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 times 2.8107?\nAnswer: 168.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 668, 671, 674?\n\"Answer: 3*w + 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14334 is divided by 112.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - -12) + 11 + -4 + 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -11*r - 22 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -415100, -415098, -415094, -415088, -415080?\n\"Answer: a**2 - a - 415100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-90))\/(3\/27). Let t = 503\/15 - 103\/3. Which is the closest to -2\/3? (a) -4 (b) i (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11869 - -12413. Suppose s - c - 15 = -3*c, -4*c + 13 = s. What is the greatest common divisor of a and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -11*u**3 + u**2 - 6*u + 1. Let v(r) = r**3 + r**2 - r + 1. Let p(o) = h(o) - v(o). What is the second derivative of p(y) wrt y?\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*v**2 + 1653*v - 63867.\nAnswer: 66*v + 1653","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -7. Let u = -2 - -3. Let z be -3*u - (-1 - -2). Put c, 5, z in descending order.\nAnswer: 5, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3722\/9 + -15049\/18. Let j = i - -423. Let v = 39.98 + 1.02. Which is smaller: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 - 400236*p**3 - 13348671066*p**2 + 26698542852*p - 13349471547.\nAnswer: -3*(p - 1)**2*(p + 66707)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -147 + 4b?\nAnswer: -b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 119, 348, 793, 1526, 2619?\nAnswer: 4144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7403677.57 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*sqrt(98)*-4 + ((sqrt(98) + -1 - sqrt(98)) + -2 - sqrt(98)) + -3*(-1 + sqrt(98))*-6)**2.\nAnswer: -4368*sqrt(2) + 17138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -39 + -334785?\nAnswer: -334824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11 + 113 + 3\/1. Let f = m - -98. What is the remainder when f is divided by 60?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 179\/417 - -33\/139. Let 1\/3*t**2 - 1\/3*t**3 + y*t + 0 = 0. Calculate t.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.705879 rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 + 242 = 7*c. Calculate the remainder when c is divided by 33.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3132)\/(-126) - 24 - 664\/840.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 159488 and 10240.\nAnswer: 6379520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1394, -1494, -1594, -1694, -1794, -1894?\n\"Answer: -100*t - 1294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(128)*1.\nAnswer: -5 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1534 - 1465. What is the smallest common multiple of 3 and h?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l**2. Let h(x) be the second derivative of 7*x**4\/12 + x + 114. What is 5*h(q) + 6*z(q)?\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1144.4 + 1144.3974014. What is q rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2008 is divided by 74?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 74*y**3 + 11*y**2 - 5*y. Let k(l) = 25*l**3 + 4*l**2 - 2*l. Calculate -4*d(g) + 11*k(g).\nAnswer: -21*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 7 - 17 = 0. Solve a*d = f - 13, 2*d + 0 = -6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 5*r + 26 = 0, -3*r - 20262 + 20252 = 5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1164015 + 3*a - 1164015.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 6:10 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.69 + -1.43. Let g = -0.12 - o. Sort 0, g, 0.4 in decreasing order.\nAnswer: g, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 - 71. Let t = v + 130. Sort 3, t, 8.\nAnswer: t, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 3:35 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0467818 rounded to 3 dps?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -0.3 (b) -2 (c) -9\/44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -594 + 17*d**2 + 67*d**2 - 329*d**3 + 513*d + 326*d**3 = 0.\nAnswer: -6, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 1:56 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4\/9 + 46\/63. Let o be (2\/3)\/(-2)*-1. What is the third biggest value in o, 2\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*i - 13*i - 6*i - i + 38 - 37.\nAnswer: -3*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93562.31mg to tonnes.\nAnswer: 0.00009356231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2003, 4009, 6005, 7985, 9943, 11873, 13769?\n\"Answer: -o**3 + o**2 + 2010*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**5\/60 + g**4\/12 - g**3\/2 - 2*g**2. Let w be s(-3). Suppose 3*f = w, 0*f = 4*n - f - 620. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -229 at most as big as -1833\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 706732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 8*r**2 - 2*r**2 - 1.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 5*u, 0 = l + 3*u - 1 - 3. Let c(h) = 3*h**2 - h + 2. Let p be c(l). What is the biggest value in p, -1\/8, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**2 + 79*v + 25. Let i be u(-15). Let f = i + 283. Solve -2 + f = 7*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - 0.4. Which is the third biggest value? (a) 3 (b) -1\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-18) + 52\/(-6). Let x be (-1 + 4)\/(p\/(-6)). Solve x*d - 10 = -0*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5 + 3 + -1 + sqrt(192) + 2)**2.\nAnswer: 96*sqrt(3) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4)\/(47\/(-76516)*-37)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2388 divided by -199.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 84 - 6*f - f**4 - 40 - 2*f**2 - 8*f - 43 + f**3 in the form d*f**4 + g*f**2 + y*f + a*f**3 + p and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1315*z - 15. Let w(t) = 663*t + 8. Give 5*w(a) + 3*y(a).\nAnswer: -630*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 540230 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -276 - 148. Let q = r - -547. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in -4, -2\/23, -36, -1?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16879 take away 7?\nAnswer: -16886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21251 rounded to the nearest 100?\nAnswer: 21300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -8071*f - 7*f**2 + 8071*f + 32*f**2 in the form k + s*f**2 + z*f and give s.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -172 + 176. Let u = 1 - 0.2. Let v = 0.3 - u. What is the third smallest value in p, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3*c**3 - 2)*(-1 - 5 + 5)*(-5*c + c - c) as y + k*c**2 + d*c + n*c**4 + g*c**3 and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -1049 + 9469. What is y rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fxkgkxqfkdqk. Give prob of picking 2 q and 2 x.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -2\/772127143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4, 3*u + 0*x - 303 = -3*x. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -1.37?\nAnswer: 9.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooboobbg. Give prob of sequence ggg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 7. Suppose -3*w - 3*k = -5*k + 10, -k + h = 0. Suppose -2*i + w*i = -12. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.1 (b) -2\/17 (c) 6\/5 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*n + 381 = -118, -4*a + 394 = -2*n. Suppose -4*c + 68 = -4*w - 24, 5*c + 3*w - a = 0. What is the remainder when 143 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33, -56, -63, -54?\n\"Answer: 8*n**2 - 47*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 5:36 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 212234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-15) - 200815\/(-17016). Let t = n + -7\/709. What is the common denominator of t and (0 - 0) + 40\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2630 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 36, -0.76 in descending order.\nAnswer: 36, 3\/5, -0.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 8*i**2 + 6*i + 11. Let s be r(-9). Suppose 2*l + 68 = -s. Let y = l - -111. What is the remainder when y is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*-1*(-10)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*q = -6, 2 = 2*f - 2*q + 6. Is (-149)\/f - 3\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, q: 4, r: 2, p: 7, s: 1, u: 1}. What is prob of picking 1 s and 1 r?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a + 17503 + 18*a - 12*a - 17507 - 6*a.\nAnswer: -6*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 153*z**4 + 36.\nAnswer: 612*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 = 6*v + 338 + 81 + 40 for v.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534309 is divided by 10413.\nAnswer: 3246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -7*b + 20. Suppose -a - k + 25 = -6*k, 5 = -k. Solve a = g + b*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0332 and -24.9209.\nAnswer: -0.82737388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 15) to base 16\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10314 (base 7) to base 9.\nAnswer: 3453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 63 = -0*v + 2*j, 3*v + 12109*j - 12114*j + 13 = 0 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(462) + sqrt(462)*-1 + sqrt(462))*1)\/sqrt(11)*-1)\/(sqrt(288)\/sqrt(3) + (sqrt(6) - (sqrt(3456) - sqrt(54))\/sqrt(9))).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2 + o + 0 + 5 + 4. Let r be i(0). Suppose r = -2*q + 75. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1797, 3594, 5391?\n\"Answer: 1797*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/7 - 1425*z**2\/7 + 26532*z\/7 + 36556.\nAnswer: (z - 1406)*(z - 26)*(z + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-11)\/68))\/(7\/77*-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -500551 + 1?\nAnswer: -500550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/6 - (-814)\/6. Suppose g = 16*s - 17*s. Calculate the remainder when s\/(-6) - 2\/(-6) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1958932523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1137, 1162, 1213, 1302, 1441, 1642, 1917?\nAnswer: 2278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 154639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*s - 164 = -0*s, c = -3*s + 140. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 14*n - 6. Let x be y(-12). Let m = x + -26. Let k = 19 + m. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*-2)\/((sqrt(108)\/sqrt(9))\/sqrt(4)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.07034591 to two decimal places.\nAnswer: -1.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/4513 + 4533\/18052. Let 0 - z*u**2 - u = 0. Calculate u.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 2\/15, 76, 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - y - h - 1523, -3*y - 897 = -5*h. Let k = 306 + y. Solve -k*i + 18 = -4*z, -3*i - 13 = 2*z + 2*z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -787*u**2 - 3851*u. Let o(x) = x. Determine h(o(n)).\nAnswer: -787*n**2 - 3851*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30.434 bigger than 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/111513661 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(1\/3*-1). Let h be -2 + 1 - j\/(-1). Suppose -h*w = -7*w + 15. What is the remainder when w is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l. Let t(s) = 33*s - 16. Determine t(u(d)).\nAnswer: -66*d - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -112.98 + 118. Round g to one decimal place.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/3, 0.3, 2101?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 less than -224618278?\nAnswer: -224618252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 528 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*w + 4*j + 572, 3*w - 12*j + 220 - 565 = 6*w - 189 for w.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3095142*q**2 - 9833955 wrt q?\nAnswer: -6190284*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004761.\nAnswer: 1004761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003913 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/3038 and -59\/77?\nAnswer: 33418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -8*o**4 - 66*o**3 + 17*o + 4. Let q(i) = -7*i**4 - 65*i**3 + 18*i + 3. Let k(f) = -3*j(f) + 4*q(f). Find the second derivative of k(l) wrt l.\nAnswer: -48*l**2 - 372*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdt when three letters picked without replacement from tmdtzdldtmtzmtmlttzl.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1*(126\/27)\/((-40)\/60)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t + 123. What are the prime factors of -8 + t - 1*-3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.122, 2\/15, -2\/673?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6*v - 25. What is k(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -1 (c) 1172 (d) 4\/15 (e) 0.9 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2338 and 269371?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + sqrt(112)*1 + sqrt(112) - 1*-3*(sqrt(112) + -1))**2.\nAnswer: -160*sqrt(7) + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1744, 99, 3194, 7559, 13212, 20171?\nAnswer: 28454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 - 60. Suppose -s - 5 = -2*s - 2*j, -2*s + o = -4*j. Solve 0 = -5*z + 2*g - 26 + 10, -10 = z + s*g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, r: 8}. What is prob of picking 2 u and 1 r?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 1\/11, -3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**4\/4 - 5*i**3\/3 - 5*i**2\/2 - 2*i - 58. What is q(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*o - 3)*(228 - 228 + 90*o).\nAnswer: 270*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 - (3 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 12:12 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**4\/6 + m. Let y(z) = -z**2. What is x(y(q))?\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 494539408 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 163476 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + -2 + sqrt(7) + -2 + -4 + 5.\nAnswer: -3 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 smaller than 101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-6) + (-7 - -4). Which is the smallest value? (a) -17 (b) l (c) 4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -245\/3*w**2 - 65\/6*w**4 - 85\/6 + 335\/6*w - 5\/6*w**5 + 155\/3*w**3.\nAnswer: -5*(w - 1)**4*(w + 17)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5\/746?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, s: 6}. Give prob of picking 3 c and 1 s.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - m + 5, -r + m = -4*r + 11. Suppose r*c - 182 = -47. What is the common denominator of c and (-2 - (-47)\/4*-14)\/(3240\/216)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -872331 or -1\/7?\nAnswer: -872331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7657589507.813035 + 7680624810.813. Let r = n - 23035374. Let k = 71 + r. What is k rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -976*n - 984. Give y(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/55 - 690\/1265.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732530.\nAnswer: 2, 5, 17, 31, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvyvvdvivdxv. Give prob of picking 1 y and 1 x.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -207075, -410041, -613007, -815973, -1018939?\n\"Answer: -202966*d - 4109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 2710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 4*u + 5*u + 9 + 2, -7*f + 223*u = 224*u + 56 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*q**2 + 373 + 362 - 1098 + 363.\nAnswer: -72*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -0.01\nAnswer: -1.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 213943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 12 = 2*i. Let y = i - 11. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 2 - 3)*(-2*z**3 + 3*z**3 - 3*z**3) + (-1 + 0 - 1 + (0 - 2 + 0)*(0 + 1 - 2) + 0 + 2 + 0)*(-1 + 5 + 2)*(2*z**3 + 3*z - 3*z).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**3 + 63*b - 1 + 6*b**3 - 7*b**3 - 1 + 17*b as t*b**2 + k + n*b + v*b**3 and give n.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 0. Suppose -2*p + 4*m + 564 = 0, -5*p + 5*m + 1428 = m. Let x be 4*w\/(p\/4). Which is the nearest to 0.1? (a) x (b) -4 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-27)\/(-252)*(-16)\/(-6)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46951\/31 or 1514?\nAnswer: 1514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 575219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 256484678 to the power of 1\/2, to the nearest integer?\nAnswer: 16015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**4\/2 + 52955*j**3 - 73535688*j**2 + 34239318733*j - 10643986961567\/2 = 0.\nAnswer: 467, 104509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.050310489 rounded to four decimal places?\nAnswer: 0.0503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -295434 and 10.\nAnswer: -2954340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 d, and 1 i when three letters picked without replacement from igssnsd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*t**3 - 29*t**3 + 57*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2199 and 1775326.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -316*d**2 - 320*d**2 - 323*d**2 + 1283*d**2 - 314*d**2.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 166 + 2 + -68 + (-2 - 6 - 4)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 7:33 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001684976976 rounded to 7 dps?\nAnswer: -0.001685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1847105877?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 56*l + 0 - 1\/15*l**4 + 12\/5*l**3 - 34\/5*l**2. Solve y(s) = 0.\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 266 - 263. Suppose 924 = 3*n - 3*a, 7*a = -5*n + f*a + 1540. What is the remainder when n is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 - 0.16. Let b = 10494.131 + -10495. Let l = b + g. Round l to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -1 + h - h**2 - h. Let v(b) = 2*b**2 - 4*b + 2. Let o be v(2). Let i(s) = 5 + 2*s**2 - s + 2*s**2 + 0*s**o. Calculate -3*f(r) - i(r).\nAnswer: -r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 225?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 515 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/3*6\/(-12)*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -18856, 59, 1\/3 in ascending order.\nAnswer: -18856, -1\/2, 1\/3, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from ffbbmhfkfkhhm?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.451.\nAnswer: 0.1353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1656 divided by -4.\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from {g: 2, i: 1, b: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/2*-45*(-12)\/90\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3407 is divided by 380.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9660338453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5292170281?\nAnswer: 66457, 79633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 649929996*m**5 + 33*m**2 + 60678 wrt m.\nAnswer: 38995799760*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2, 0.2, 0.03, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-986)\/(-2436))\/(40\/1120).\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l - 5. Let h be (120\/40)\/(6\/(-4)). Let i(z) be the second derivative of z**3\/6 + z**2\/2 - 42*z. Determine h*i(s) - a(s).\nAnswer: 3*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 5987710 to the nearest ten thousand.\nAnswer: 5990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -435 + 435.00566. What is a rounded to 4 dps?\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 - 54636*r.\nAnswer: -2*r*(r + 27318)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -37, -1, -52, 60, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 82. Determine b(12).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*j = 6*n - 42, -2*n + j + 18 = 0. Suppose -67 = 8*h - 259. Let q = -2 + h. What is the remainder when q is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x - 64. Calculate g(12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*f**4 + 0*f**4 + 32 + 5*f**4 wrt f.\nAnswer: 36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2701962, 2701966, 2701970, 2701974, 2701978?\nAnswer: 2701982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(((-12)\/(-8))\/3). Is v greater than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, n: 9, h: 3, c: 3}. Give prob of sequence lhl.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, n: 9, x: 1}. Give prob of sequence uu.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1414682 by 6.\nAnswer: 707341\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 261300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-3)\/p*p)**49)**(-1\/18)*((p\/(p\/p**11))\/(p*p\/(p*p\/p**7)*p))**(8\/7) assuming p is positive.\nAnswer: p**(775\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-6)\/(-6*1\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 0*d + d)*(-3 + 6 - 4) - 130 - 19*d + 7*d + 136.\nAnswer: -14*d + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(5) - sqrt(10)\/sqrt(2)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 6*c - 7499 = 4*c, -o + 3*c + 1493 = 0. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*r = -190 + 1009 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 265486873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.3 - 6. Let k = 0.14 - -0.56. Let m = 0.8 - k. Which is the nearest to m? (a) -0.2 (b) 1\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 59*j**2 - 3*j - 6. Determine o(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 17*f - 533. Solve 193*n**2 + 6*n**5 + 465*n + 242*n**2 - 34*n**2 - 39*n**4 + 150 - 42*n**2 - 39*n**3 - f*n**2 = 0.\nAnswer: -2, -1, -1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0375974 minus -518563?\nAnswer: 518563.0375974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57043.\nAnswer: 7, 29, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -25007*d + 11671*d + 11359*d in the form t + r*d and give r.\nAnswer: -1977","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.3 times -19?\nAnswer: 499.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**3 + 2*c**3 + 0*c**3)*(38*c**2 + 141 - 141) + (-2*c - c + 0*c)*(4*c**4 + c**4 - 4*c**4).\nAnswer: 187*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (230 - 183 + 662)*(-4*x - 2*x + 5*x) + 5*x + 0*x + 2*x to g*x + l and give g.\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 53*r**2. Let a(i) = i**3 + 9*i**2 + i + 10. Let l(y) = -y**2 + 9*y - 9. Let o be l(9). Let s be a(o). Is n(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 103.933 and 2038.1?\nAnswer: 1934.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 12 = -4*y - 2*i, 3*i + 12 = 0. Let r be 2\/(-3)*(-2)\/4. Sort -5, y, r in descending order.\nAnswer: r, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-7 + 0 + 0 + (7 - 11)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 4:10 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4\/3 + 20*l**3\/3 + 14*l**2\/3 - 12*l = 0.\nAnswer: -9, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*s = 508, -x = -5*s - 103 - 15. Calculate the lowest common multiple of 96 and x.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 - 4 = 4*j. Let t = 27 - j. Let -2\/5*s**5 + t - 4\/5*s**4 + 4\/5*s**2 + 2\/5*s + 0*s**3 = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 2*v + 3 + 0)*(-5*v**4 + 0*v**4 + 4*v**4).\nAnswer: 2*v**5 + 7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z**2 + 0*z**2 + 12*z**2 + 361*z**3.\nAnswer: 361*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i - 3*i**3 + 2*i**3 + 3*i**3 - 111*i**2 + 954 - 952 + i**4 to n*i + b*i**4 + a + l*i**2 + f*i**3 and give l.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 224, -46, -10 in ascending order.\nAnswer: -46, -10, 56, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -14*q + 19*q. Let n(i) = -i**3 + 10*i**2 - 14*i + 50. Let z be n(q). What is the greatest common factor of 81 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10306810 and 18.\nAnswer: 92761290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*(q\/q**(-12))\/q*q)\/((q\/(q*q*q*(q*q**(2\/5))\/q*q*q))\/q)*(q\/(q*q*q\/(q*q**14)*q)*q)**(-45) assuming q is positive.\nAnswer: q**(-2823\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-8)\/(-20)*1).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6048.37 litres in millilitres?\nAnswer: 6048370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1052777*h + h**2 + 2105567*h - 1052790*h.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-3)\/18)\/(1\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -136?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/571467 - 1126361443\/4000269. Which is smaller: u or -281?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.094 in 2\/5, -0.2, -3, -207, 1326?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28793\/(-420) - 12\/48. Let h = n - -501\/7. Calculate the common denominator of -14\/57 and h.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125)*-1 + 2 - sqrt(125)) + (sqrt(125) - -1*sqrt(125)*2))**2.\nAnswer: 20*sqrt(5) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j - 10. Let r be 324\/(-8)*(-4)\/6. Suppose 4*g - 1 = r. What is x(g)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -752, 14.6, -1?\nAnswer: 14.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -85 - 4 = 89*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-6)*(-48)\/((-6)\/(-1))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 - 10*x**2 - 34*x + 42.\nAnswer: 2*(x - 7)*(x - 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (180\/8)\/9 - 1470\/(-196)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 1 (b) -71 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + (((sqrt(192) + -4)*2)**2 - sqrt(9)\/(sqrt(1200) - sqrt(48)))).\nAnswer: -831 + 4097*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-18)\/(-15))\/(4\/330)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2353405 (base 7) to base 3.\nAnswer: -120012002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -4*j - 2*z, 2*j - 16 = j + 4*z. Let p be 36\/(-16)*j\/(-6). Let v(o) = o**2 - 8*o - 14. Is 10 a factor of v(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n + 4. Let t(h) = 4*h + 10. Let p(w) = 3*f(w) - 2*t(w). Suppose -2*l + 10 = 0, -3 = 5*b - 2*b + 3*l. Let u = -6 - b. What is p(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4*(2 - 2). Suppose -g + 5*g - 40 = y. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -390.5985206 rounded to 2 dps?\nAnswer: -390.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -122450792?\nAnswer: -61225396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 z, and 1 b when three letters picked without replacement from {g: 6, a: 5, b: 4, z: 5}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 5\/2, 5\/4, -125\/2, 24, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/1)\/((-704)\/32)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.216 - 0.21599606. Round s to 7 decimal places.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 1. Suppose -4*q + r + 3 = 0, 2 = -q - z*r - 7. Let t be (-1)\/(-2) - (-3)\/12. Is t less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (96\/15 - 6) + (-18)\/(-5). Which is the smallest value? (a) 5 (b) -45 (c) g (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98286 and 229334?\nAnswer: 688002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 2*m**2 + m**2 - m**2 - 2*m**2 + 6*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18686 - -18743. Calculate the remainder when 69 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/192 and (3157\/656)\/(5*(-8)\/(-1)).\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(5\/3))**9\/(f\/((f\/((f**(-2\/41)\/f)\/f*f))\/f))**(1\/14))**(-34) assuming f is positive.\nAnswer: f**(-146404\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/140 and -197\/222360.\nAnswer: 1556520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303b7 (base 16) to base 4.\nAnswer: -300032313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/11)*m*m\/m**(-9))\/((m\/m**(-1\/3))\/(m*m\/(m**(-2)\/m))) assuming m is positive.\nAnswer: m**(490\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bururdbd. What is prob of sequence dduu?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*t + 1355*t - 260*t - 277*t - 267*t - 243*t.\nAnswer: 33*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 10*b**2 - 8*b - 13. Let v be h(9). Which is greater: -6 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 607704?\nAnswer: 2, 3, 25321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14422536, 28845068, 43267598, 57690132, 72112676, 86535236?\nAnswer: 100957818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26041300 (base 9) to base 14.\nAnswer: 19aa13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r + 1. Suppose 4*l - 3*q = -0*q + 53, 3 = -q. Let h(d) = 14. Let x(o) = -5. Let y(v) = l*x(v) + 4*h(v). Let z(u) = -s(u) + 2*y(u). Give z(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**6\/72 - s**3\/3 + 2*s**2. Let q(r) be the first derivative of t(r). Let v(g) = -32*g + 69*g - 32*g. Give q(v(x)).\nAnswer: -125*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 5*m**2 + 16*m - 24. Is 18 a factor of o(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/306 and -49\/11458.\nAnswer: 103122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 9 - 3 = 5*b, d = 3*b + 16. Solve i + d*i + t - 7 = 0, 0 = -i + 4*t + 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*x - 17*x + 60*x**2)*(-3*x + 10*x - 4*x).\nAnswer: 180*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 2.8, 0.051, 5, -0.06?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60720 to the power of 1\/2, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 at least 175\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 176655 to the power of 1\/2, to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*t**4\/2 - 6271*t**3\/2 + 29254*t**2 - 31762*t + 5648 = 0. What is t?\nAnswer: -706, 2\/9, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1046330 + 0?\nAnswer: 1046330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k + 2. Let x be f(-19). Let r = x + 53. Sort 1\/7, 0.02, r in decreasing order.\nAnswer: 1\/7, 0.02, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - d - 4. Let c be x(0). Suppose -24*j + 360 = -9*j. Let i = j + c. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26496232 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 + 2*k**5 - k**4)*(2 + 0 + 0) + 10*k**5 + 78 - 2801969*k**4 - k + 2801969*k**4.\nAnswer: 14*k**5 - k + 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -18 - 3)\/((-3)\/(-45)*1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-63)\/15)\/(2\/10). Let q = 41 + t. Suppose -6*r = -r - 25, 0 = 2*l - r - 195. Calculate the highest common factor of l and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*t + 5*t - 35*t.\nAnswer: -92*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1650108 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1305 and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*c = 36 + 16. Let s(r) = 5*r**3 - 3*r**2 + 2*r. Calculate s(c).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176525 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7\/5, -8\/13, 0?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -5, 2 in ascending order.\nAnswer: -37, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/544591 + -544606\/8168865. Let f = 3\/32 + 49\/160. What is the third biggest value in f, 2\/9, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, 12, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 1\/12*x**4 + 0 + 3*x + 1\/6*x**3 + 0*x**2. Solve b(t) = 0 for t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + c = -6, 2*c - 4 = -164*v + 168*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -5 (c) 297\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 21.3. Which is the biggest value? (a) -0.1 (b) 5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (6 + -7 + 7 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16006 (base 7) to base 2.\nAnswer: -1000101110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -114 - -126. Suppose 0 = -4*l + a - 0. Solve -l = -q - 2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y = 23*y + 8. Suppose -6*h - y = -8. Which is greater: h or 6\/145?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/877 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*z + 3, p - 3*z = 10. Let x be 1*(3 - (2 - p)). Let f = -14565 - -29129\/2. What is the closest to 1\/2 in -3, f, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0024157671 rounded to 5 decimal places?\nAnswer: -0.00242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*(-6*1*sqrt(66) - (sqrt(66) + 1*sqrt(66) + sqrt(66))*-4)\/((sqrt(180)\/(2*sqrt(3)) + sqrt(60))\/sqrt(10))*-4)**2.\nAnswer: -128*sqrt(11) + 11268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1631, 3313, 5105, 7001, 8995?\n\"Answer: -r**3 + 61*r**2 + 1506*r + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -22*r**3 - 5*r**2 - 5*r. Suppose 0 = -2*n + 3*i + 28, -17*i - 66 = 3*n + 21. Let b(m) = 198*m**3 + 44*m**2 + 44*m. Calculate n*b(x) + 44*p(x).\nAnswer: 22*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12165 is divided by 717?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 16. Let d = -5 + j. Let n be 22\/28 + 1\/(-2). What is the closest to -1 in 0, n, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 12*u**2 - 5*u + 4. Let n(i) = -13*i**2 + 5*i - 5. Let z(d) = 7*g(d) + 6*n(d). What is the units digit of z(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.651 in 0.3, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 - 2 = 0. Suppose 4*w + 19 + 9 = 5*q, 22 = m*q + 2*w. Calculate the lowest common multiple of 6 and (q\/6)\/(1\/6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + s)*(3 + 0 - 2) + (2 - 3 - 3)*(-11 + 11 + 3*s).\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 + m**4 - 2*m**3 + (-13 - 53 + 65 + 35*m)*(-m - m + 4*m)*(-2*m**2 - 3 + 3) to j + g*m**4 + z*m**3 + i*m + s*m**2 and give g.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.2 + 1.2. Suppose 0 = -3*d + 7*d - 96. Let h be 6\/24 - 14\/d. What is the closest to h in -1, -1\/2, s?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 575*x**3\/2 - 3997*x**2\/2 - 5840*x. Differentiate c(k) wrt k.\nAnswer: 1725","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.23 - 0.23. Put 0.1, p, -0.2 in descending order.\nAnswer: p, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -881*v - 509*v - 36140 = 0 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**2\/2 + 3. Let u(t) = -4*t. Calculate u(i(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -619 and 0.5696.\nAnswer: -352.5824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/sqrt(5)*3 - sqrt(34))\/(-2*sqrt(98)) + (1 + sqrt(153) - (sqrt(102)\/(4*sqrt(6)))**2).\nAnswer: -1\/16 + 20*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**4 + 32617*f**3 + 41816*f**2 + f + 1 wrt f.\nAnswer: -72*f + 195702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-344)\/(-12) - 3\/(-9). Suppose -h + 6 = -6. Let t = s - h. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2291?\nAnswer: 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r = 2*m + 4*r - 12, 2*r + 2 = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 - -3 - (-34 + 5).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, q: 1, a: 3, o: 3}. What is prob of picking 1 o and 2 i?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(10\/6) + 4\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10033?\nAnswer: 79, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = -15*f + 189 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22800 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 0 - (-13 + 17)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(3) - sqrt(42))\/sqrt(6) + 4 + (sqrt(63))**2 - ((sqrt(672)*-1 - sqrt(672))\/sqrt(12))\/sqrt(8).\nAnswer: 2*sqrt(7) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112012 - -10110211020?\nAnswer: 10111100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*t + 101*t = 5*w + 12, -3*w - 12 = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(720) - (-1 + sqrt(720))) + sqrt(720) - -1*(1 + sqrt(720))) + -5*(-1*sqrt(720) + -4))**2 + 2.\nAnswer: 4536*sqrt(5) + 36011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**6\/10 - 87*s**5\/20 + 46*s**4 - 168*s**3 - 468*s. What is r in o(r) = 0?\nAnswer: 0, 4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 2201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*6178.\nAnswer: -3089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 0*w + 1\/24*w**4 + 0 - 5*w**2 + 0*w**3. Let d(c) = 2*c - 4*c - 2*c. Calculate d(k(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 177530 - 710119\/4. Factor -1\/4*g**3 - i*g**2 + 1\/4*g**5 + 1\/4*g**4 + 0*g + 0.\nAnswer: g**2*(g - 1)*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 1641728*g - 14775876.\nAnswer: 4*(g - 9)*(g + 410441)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 60*v**3 + 9*v**2 + v - 10. Let f be n(1). What is the highest common divisor of f and 5400?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*x + 56134, -342*x = 2*k - 346*x - 37428. What are the prime factors of k?\nAnswer: 2, 5, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, i: 17}. Give prob of picking 3 i.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 9*s. Let q(h) = 1 + 0*h**3 - 2*h**3 + h**3 + 4*h**2 + s. Let f be q(4). Which is smaller: f or 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -642, -5120, -17276, -40950, -79982, -138212?\nAnswer: -219480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117, -303, -489, -675?\nAnswer: -861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 19*k**3 - 2*k + 1. Suppose a - 1 = -2*l, -4*l - 5*a - 3 = -2. What are the prime factors of o(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1265?\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-3)\/w))**(-46))**(-38) assuming w is positive.\nAnswer: w**8740","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2172 = 124*s - 118*s. What are the prime factors of s?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 0*o + 2 - 5*o + 2*o - 7*o. Let q(f) = -19*f + 4. Calculate 6*q(n) - 11*x(n).\nAnswer: -4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5289464281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4158*o**3*p**2 + 25*o**2 + 28*p**2 - p + 181 wrt o.\nAnswer: -12474*o**2*p**2 + 50*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, x: 1, a: 2, m: 2, w: 2, s: 1}. What is prob of sequence wxma?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376 + 5*b - 94*b - 116 - 96 - 124*b.\nAnswer: -213*b + 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 161687747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 466 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 74689 = -2*k + 12475, 4*z + 5*k - 174323 = 0. List the prime factors of z.\nAnswer: 3, 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*j**3 + 12*j + 8*j - 350 - 22*j + 7 + j with respect to j.\nAnswer: 78*j**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from isiasiiiiiaiii?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -750 - 248 - 788*l**3 + 57760*l - 57760*l + 128 wrt l.\nAnswer: -2364*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1376*y = 4732*y + 1714*y - 179906 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8868 is divided by 175?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i - 136. Let b(n) = -2*n - 138. Let h(y) = -4*b(y) + 3*x(y). Let t be h(17). Calculate the greatest common divisor of 575 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/4*336\/(-192). Let g = s + 115\/56. Which is the fourth biggest value? (a) g (b) 3\/7 (c) 1\/10 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8)\/28 + (-5 - -8) and -89\/45?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-11)\/(a\/a**9) assuming a is positive.\nAnswer: a**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8129433 to the power of 1\/3, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f - 12 = -6*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ucczkkukuukukkkz. Give prob of picking 1 k, 1 z, and 2 u.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/(-20))\/((-2)\/(-40)). Round p to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102.808 - -0.192. Let i = 94 - x. Put i, 0.1, -5, 2\/9 in decreasing order.\nAnswer: 2\/9, 0.1, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.074419+-3934124\nAnswer: -3934123.925581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/15)*f)\/f**(-17) assuming f is positive.\nAnswer: f**(272\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60268 and 4636.\nAnswer: 60268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(85) + -1*sqrt(85)*6)*-1)\/(3*(2*sqrt(5)*4 + sqrt(720)*1)).\nAnswer: 5*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = i - 9, 5*i = -5*w + 2*w + 22 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35\/5729 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -814 (base 9) to base 2.\nAnswer: -1010010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(2\/17))\/w**(5\/8) assuming w is positive.\nAnswer: w**(171\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/13 greater than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f**(-14))\/f)\/f)\/(f\/(f**(2\/17)*f)) assuming f is positive.\nAnswer: f**(-236\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-14)\/(t\/(((t**23\/t)\/t)\/t)) assuming t is positive.\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28336638 and 5965608.\nAnswer: 113346552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -57 * 0.2\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 divided by -201.\nAnswer: -49\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252\/(-24)*(-96)\/168.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68 - 2) + (17 - (-20 - -21)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + ((1*sqrt(12))\/sqrt(4))**2 + sqrt(3) - (-4 + -4 + sqrt(3) + 2)**2).\nAnswer: -41 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - l**2 - 2*l**2 + 619*l**3 - 642*l**3 - 20*l**2.\nAnswer: -23*l**3 - 23*l**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 450832, 450824, 450816, 450808, 450800, 450792?\n\"Answer: -8*g + 450840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 0.03, -1\/5, 5, -0.02, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -251895, -503789, -755683, -1007577, -1259471, -1511365?\n\"Answer: -251894*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 3:20 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7623720 and 1808190?\nAnswer: 282077640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 - 3 = 0. Let t = 63 - 10. Let i = t - 42. What is the greatest common factor of i and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b**2 + 6*b + 14. Let y(u) = -26 + 54 - 19 - 4*u - 18 + 3*u**2. What is 5*x(c) + 8*y(c)?\nAnswer: -c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**2 + 7*v + 2. Let t(q) = -5*q**2 - 8*q - 2. Let g = 27003 - 27006. What is g*k(i) - 2*t(i)?\nAnswer: -2*i**2 - 5*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p*p**(4\/7))\/p*p*p))**(-4\/13) assuming p is positive.\nAnswer: p**(44\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1062 + 1062. Let p(l) be the second derivative of i + 0*l**2 - 11\/6*l**3 + l. Let o(r) = -2*r. What is p(o(j))?\nAnswer: 22*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4231350683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*n - 20*n - 1 - 40*n)*(-49 - 51 + 31) + (0 + 0 + 1)*(-2*n + 0*n + 4*n).\nAnswer: 899*n + 69","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**5\/5 - 614*n**4\/5 + 48038*n**3\/5 - 28090*n**2 + 139232*n\/5 - 46208\/5 = 0. Calculate n.\nAnswer: 1, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}