diff --git "a/data/dm_maths/full_data_1/1692_11255.jsonl" "b/data/dm_maths/full_data_1/1692_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1692_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate 0.2*-6536754.\nAnswer: -1307350.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 560953 - 53952. Let w be t\/3 - (35\/15 + -2). What is w rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 - 17 - (15 + -4 + (18 - 8))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 506051 + 153?\nAnswer: 506234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 10*o**2 + 2*o - 7. Let l be 9*1\/3*1. Let r be v(l). Suppose -2*n + 3*j + r = 0, -3*j + 46 = 2*n + 2*j. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(-2\/9))\/(b*b*b*b**5*b)*(b**(-6\/5)*b)\/(b\/((b**(7\/2)\/b)\/b)) assuming b is positive.\nAnswer: b**(-583\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12 + 300\/24)*1*4\/(-7). What is the closest to -2 in 3, -13\/5, k?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82230.\nAnswer: 2, 3, 5, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4\/7 - 59224*x**3\/7 + 59222*x**2\/7 = 0. Calculate x.\nAnswer: 0, 1, 29611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -0.12, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -99 - -109. Suppose -2*p - 4*w + 2 = 0, -4*p - 2*w - 3*w = -q. Let s(f) = p*f + 1 - 8 + 6 - 4*f. Let x(h) = -6*h + 7. Give -5*s(m) - x(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/16*(-208)\/(-1950).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 4*m**2 - 294*m - 6. Let z(f) = -3*f**3 - 11*f**2 - 877*f - 17. Determine -17*h(j) + 6*z(j).\nAnswer: -j**3 + 2*j**2 - 264*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4*m)\/m*m**(-12) assuming m is positive.\nAnswer: m**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 12*x**2 - 22*x + 12.\nAnswer: -2*(x - 3)*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 16*(-2156)\/1408*2\/(-7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004642 to five decimal places.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i - 2. Suppose -4*x + 25 = x. Let k(z) = z**2 - 5*z + 3. Calculate x*r(a) + 2*k(a).\nAnswer: 2*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 209*j**2 + 10*j - j + 14 - j**3 - 215*j**2 = 0?\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1032010 (base 4) in base 13?\nAnswer: -2374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -367*p**3 + 9176*p**2 - 26*p + 33. What is r(25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -8.3, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*b**3 - 6*b + 6*b.\nAnswer: -177*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t + 32 = 4*f, -3*f = 4*t - 28. Suppose -3*i = 4*c - 11, -f = -3*c - c + 4*i. Solve -4*g - 12 = -4*r, -3*r + c*g + 5 = g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m + 0*m - 2759*m**3 + 5491*m**3 - 3*m - 2734*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhh when three letters picked without replacement from {h: 5, q: 2, f: 1, c: 5, a: 1, k: 1}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 18829 (c) -30 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0*u + 2*u)*(1011*u - 502*u - 510*u - 5).\nAnswer: -u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) -6084\/5 (c) -4 (d) 0 (e) -5 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (50*d + 932 - 932)*(-3 + 3 + 3) to s*d + l and give s.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 12*f - 148. Let l be 10 - 1\/(15\/(-12) - -1). Let o = 5 - 1. Calculate the remainder when x(l) is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 279881.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16852529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3975 = -5*u, u - 1208 = r - 413. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(2\/4))\/(40\/(-520))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 18. Let p be 0\/(2 + (-6 - -6)). Suppose -10*u - 17 = -5*l - j*u, 3*l + 2*u - 23 = p. Let c(f) = f**3 - 4*f**2 - 6*f + 7. Calculate c(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4190 + -6391. Let c = z + 2200.99998463. What is c rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -93.3023647 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = j - 8. Suppose -5*h = j*h - 35. Let l be (h\/2 + -2)*42. Calculate the highest common divisor of l and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*d + 21. Let j be -2 + (3 - 1)\/d. Let k(t) = -11*t**2 + 11*t + 9. Let m(z) = -6*z**2 + 6*z + 5. Let a(v) = 4*k(v) - 7*m(v). Give a(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 6:23 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -213 + 201.3. Let a = q + -40.3. Let z = a + 51.999684. Round z to five dps.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132100121 - -30330?\nAnswer: -132003131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3412, -2229, -1044, 143, 1332, 2523, 3716?\n\"Answer: t**2 + 1180*t - 4593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 12*v - 13. Let h be c(-10). Let z = 95 - 66. Let a = 44 - 39. Solve 5*f - 2*s = z, -a*s + h = -f + 22 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 517626323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*-29\nAnswer: 23.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 34*d**2 - 603*d + 377. Determine q(-47).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 2*x**2 + 2*x + 8. Let o be l(0). Solve -3*z = 4*h - o, h + 0*h = 2*z - 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*b - 26*b - 10*b)*(-3*b + 0*b + b).\nAnswer: 146*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -82, -0.5, 10, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6008 + -2211. List the prime factors of q.\nAnswer: 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**3 + 6*j**2 - 8*j + 2. Let f(x) = 5*x**3 - 11*x**2 + 15*x - 4. What is 6*f(p) + 11*u(p)?\nAnswer: -3*p**3 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -9*a**2. Let s(x) = -15*x - 14. Give s(o(g)).\nAnswer: 135*g**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**2\/5 + 371641938*u\/5 + 11509810840032987\/5 = 0. Calculate u.\nAnswer: -61940323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7186 + -328498?\nAnswer: -335684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1\/6 - 301\/258 - 7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 3, 3\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10165258 or -10165260?\nAnswer: -10165260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 5, -1822, 4 in decreasing order.\nAnswer: 5, 4, 1, -1, -1822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -12010*t**2 - 438 - 7 + 445 as i + h*t + b*t**2 and give b.\nAnswer: -12010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, n: 4}. Give prob of picking 2 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 13. Let h(m) be the second derivative of m**4\/4 - m**3\/6 + 3*m**2\/2 + 16*m. What is the tens digit of h(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(17) + 0 + -6*sqrt(68)\/sqrt(4))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-46)\/(-345)*42\/(-4))\/((-32)\/(-80))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -197 < 83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/13 (b) -25 (c) 0.3 (d) 5 (e) 0 (f) 357.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/1099266 and -83\/549633.\nAnswer: 1099266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11843 and 195?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 558 divide 374411388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b - 2. Let x be l(5). Let o(g) = g - 9. Let w be o(13). Suppose m + 2*m = 0. Solve 0 = -4*c - m*c + x, 0 = w*k - 2*c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 32*t**5 + 116624*t**4 + 106288194*t**3 + 53122232*t**2 + 6639368*t = 0?\nAnswer: -1822, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 836090803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -2)*1\/(-3). Find the third derivative of -l**5 - 1 + 3*l**2 + d - l**2 wrt l.\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10*1902\/12 - (17 - 5). What is the greatest common divisor of y and 2288?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-7 - 2) - (-1)\/3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5185177069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5)*b**(2\/7))\/(b*b**(2\/11)*b*b*b\/(b\/b**0)) assuming b is positive.\nAnswer: b**(-961\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81986 is divided by 1643.\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -13*b + 9. Let d be (-5 - (-351)\/65)*-5. Suppose -5*z + 3 = t + 8, z = 4*t - 22. Let x(k) = -6*k + 4. Give d*a(o) + t*x(o).\nAnswer: -4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10\/3 (b) -0.3 (c) 20 (d) -2\/5 (e) -13\/2 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -4.55. Let u = 2.55 - a. Are -24 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3519 from -751.\nAnswer: -751.3519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b + 9143 = -9343. Calculate the remainder when b\/(-6) + (-12)\/2 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/((-6)\/(-8)*-4) + -3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -118, -124, -132, -142?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305 - 1179 + 874 + 87*o**2 - 86*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 - (3 + -1 + 0) is divided by (-1 + 0)*1 - 329\/(-47).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - v**2 + 0*v**2 + (3*v - 2*v + v)*(-2*v + 3 - 3) + 0*v**2 + v**2 - 2*v**2 + 3 - 3 - v**2)*(2 + 2 - 7)*(-3 + v**3 + 3).\nAnswer: 24*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -20*f**3 + 4*f**2 - 4*f - 10. Let w(q) = 20*q**3 - 5*q**2 + 5*q + 11. Let s(n) = -5*o(n) - 4*w(n). Differentiate s(t) wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(87*t**4 - 264*t**4 - 272*t**4 + (t**2 + 2*t - 2*t)*(-3*t**2 + 2*t - 2*t)).\nAnswer: 904*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*a*m**2*y**3 + 36*a*m**2 + 9*m**2*y**3 + 2*m**2*y**2 + 30*m*y**3 with respect to a.\nAnswer: -8*m**2*y**3 + 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 83 and -22?\nAnswer: -1826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 2*z - 439. Let q be x(0). Let v = -167 - q. Is v a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -21, 128, -10 in increasing order.\nAnswer: -21, -10, -2, 2, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -27853, 13, 1\/7, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 522.2461cm in micrometers?\nAnswer: 5222461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-9\/4))\/a*a)\/a*a**(-10)\/a*a)**(-22\/5) assuming a is positive.\nAnswer: a**(539\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -569 - -865. Let n = -24 + l. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 8*i. Let z(l) = 3*l - 6 + 1 + 3. Let x be z(2). Solve i = 5*p, -x - 2 = 2*k - 3*p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*g**4 - 52459*g**3 + 3586557*g**2?\nAnswer: 168*g - 314754","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 23473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 + 6*f - 7. Let o be b(-4). Let j(x) = -1 - 1 + 7*x**3 - 4*x + 5 - o. Let q(y) = -y + 1. What is j(v) - 2*q(v)?\nAnswer: 7*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28749 and 588.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*c + 12943796, -c = 9*t - 11*t - 4314596. What is c rounded to the nearest one hundred thousand?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-28))\/(1\/(-14)). Solve 4*k = t*k + 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 158*t + 1427. Let q be u(-9). Solve -q*y + 25 = -4*f, -13*f + 5*y = -10*f + 25 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 877 = 3*x + 4*z, -z = 2*x - 352. Suppose 5*y = q + x, 0 = 4*y - 4*q + 2*q - 144. What is the remainder when 100 is divided by y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 1. Let j be a(-3). Suppose 0*m + m - j = 0. Suppose -d = 5*v - 67, -2*v + 220 = d + m*d. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199090.9 rounded to the nearest one hundred?\nAnswer: 199100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -27*v - 27. Let j be x(-2). Suppose 3*z = -5*s - 5, s - j = -0*z + 5*z. Factor -162\/11*k**s + 72\/11*k - 8\/11.\nAnswer: -2*(9*k - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**4\/12 - 4*c - 2. Let u(b) be the first derivative of f(b). Let y(a) = 18*a. Calculate y(u(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 - 87*c**4 - 945*c**3 + 7911*c**2 - 12960*c.\nAnswer: c*(c - 96)*(c - 3)**2*(c + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17840602316039 plus -1.9?\nAnswer: 17840602316037.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-854)\/366*4\/42?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**7\/63 + h**6\/45 + 3*h. Factor u(v).\nAnswer: 2*v**4*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/18 + (-2)\/9. Solve p = -3*h - 2 - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 - 82*i + 579. List the prime factors of z(48).\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50949 and 4293?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -2200?\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 169 (b) -4 (c) 219697\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + sqrt(45))\/sqrt(3) + sqrt(15) - sqrt(105)\/sqrt(63))\/((sqrt(576)*-4 + sqrt(36))\/sqrt(12)).\nAnswer: -14*sqrt(5)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 8 + 38 = 0. Suppose -2*w - 2 - a = 0. Let j be w\/18*(-30)\/4. What is the second smallest value in -1, -24\/7, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 9. Let b be n(-6). Suppose -m = -b*l + 3, l - 3*m + 1 = -2*m. Solve a = l - 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**(-2\/17))\/s)\/s**33)\/(s*s*s\/(s**(-5\/4)\/s)*s*s**(-3\/20)))**(-1\/30) assuming s is positive.\nAnswer: s**(6667\/5100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*l - 4*l. Let c = -175 - -460. Let n = c - 3134\/11. Sort 2, l, n in increasing order.\nAnswer: n, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 5*l**6\/24 + 3*l**5\/4 - 25*l**4\/16 - 45*l**3\/4 - 20*l**2 - 15*l + 63. Solve o(d) = 0 for d.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-288)\/(-54)*2\/((-8)\/(-6)). Suppose l*i - 5*i = 258. List the prime factors of i.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148348690 divided by -29669738.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -161, 505, -5, 1\/7.\nAnswer: -161, -5, 1\/7, 1, 505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 868, 883, 912, 961, 1036, 1143?\n\"Answer: k**3 + k**2 + 5*k + 861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 4*r = 12, 0 = -j - 3*j - 2*r + 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1974219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 145*n**3 - 11*n**2 - 11*n + 14. Let q(j) = 48*j**3 - 4*j**2 - 4*j + 5. Determine -4*h(l) + 11*q(l).\nAnswer: -52*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 0.094.\nAnswer: -2.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21973938 divided by -6\nAnswer: -3662323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4401444 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 28, -3*n - 2 = -2*i + 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-9 - 0) + 1 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (201 - 72 - 328)*(-w - 3 - 2*w + w) to the form d*w + b and give d.\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -1699997*d - 6. Let i be t(2). What is i rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/63 and -83\/448?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 278.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29370552.1199 take away 119?\nAnswer: 29370433.1199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 433883?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1499003 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4765198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 0) + 0 + -11 + 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1259 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 2:03 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 19*i - 18. Calculate the remainder when a(10) is divided by ((-22)\/(-7))\/(16\/224).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3513 is divided by 3495.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.06812mg to tonnes.\nAnswer: 0.00000009506812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**9\/25200 + v**8\/5600 - v**4\/4 + 8*v. Let w(p) be the third derivative of t(p). Find s, given that w(s) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2310030 (base 4) to base 3\nAnswer: -120211010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 34\/5 of a millennium?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + 90 + (213 - 128).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10822 - -16088. What are the prime factors of r?\nAnswer: 2, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuumbbnbnmmnnunmmgbb. Give prob of sequence mb.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 50?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -aff892?\nAnswer: aff898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-80)*6 - (-54065)\/4. Suppose -3*i - 4*i + q = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.1817392 + -4508.\nAnswer: -4505.8182608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*i + 2 = 0. Does 21 divide (52 - -11)*(-2)\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 12\/(-4))*2. Solve 5*j + 4*z = -3, 3*j - n*z - 11 = -0*z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 70*s**5\/3 + 5294*s**4 + 595066*s**3\/3 + 2004906*s**2 - 763616*s\/3 - 231800 = 0. Calculate s.\nAnswer: -183, -25, -19, -2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllllllff. Give prob of picking 2 l and 1 f.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/(-57) + 31467997\/1691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28994 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 + 0.1. Let s = y - 0. Let c = -1.04 - s. Round c to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 14*z - 61. Give x(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**4 + 206277*m**3 - 825159*m**2 - 206277*m + 825156 = 0 for m.\nAnswer: -68763, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 45*k**2 + 14*k**2 + 20*k**2 + 2*k**3 + 24*k**2 in the form z*k**2 + m + f*k**3 + r*k and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6400 is divided by 50.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + 1456*u - 2916. Give q(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 119.8454?\nAnswer: 119.6454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -366 - -1469. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 10*v**2 + 42. Let c(n) = -n**2 - 2. What is j(c(o))?\nAnswer: 10*o**4 + 40*o**2 + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 69 + 1?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - -5 - 14) + (-1 - 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 33*f**2 + 61*f + 33. Let q be s(31). Let o(l) = 18*l - 2. Calculate o(q).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9515208?\nAnswer: 2, 3, 449, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*m**2*p**3*v**3 - 2*m**2*p**2*v - 5221*m**2*p*v**2 - 2*m**2*p*v - 2*m*p**3 + 3289*p**3*v**3 - 8*p**3*v**2 wrt v.\nAnswer: 72*m**2*p**3 + 19734*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 818.3424 months?\nAnswer: 6.81952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 7*h**2 - 2*h + 9. Calculate the remainder when v(-7) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -2366 in decreasing order.\nAnswer: 3, -2, -2366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 50, 89, 154, 251, 386, 565, 794?\nAnswer: 1079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6289 = -r, 16062 = 3*r - 3*j - 2793. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(((-81)\/270)\/((-186)\/(-5))) is divided by 104?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: -42453180 divided by -132\nAnswer: 321615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 551*t**4 + 12*t**3 + 129*t**2 + 6*t + 6. Let y(p) = -p**4 + 2*p**3 + p + 1. Let c(o) = -l(o) + 6*y(o). What is the third derivative of c(h) wrt h?\nAnswer: -13368*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 240 and 46362675.\nAnswer: 741802800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6*a + 36 = 0. Let j(o) = -o + 10. Let r be j(7). Suppose 89 - 23 = 3*i + 4*f, -45 = -2*i - r*f. What is the lowest common multiple of i and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, -0.1, 2\/31, 10, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 3*u + 4*h - 12, 0 = 4*u + h - 3. Let c(g) = -20*g + 51149. Is c(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*a + 2*c, -4*a + 14*c + 12 = 9*c. Solve 0 = l + 2*j, -7 = a*l + l + j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012761202 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1397 - 1277) + -63 + 1?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254*f = 259*f - 120. Suppose 1 = -4*v - 111. Let i be (f\/v - -4)*7. What is the greatest common factor of 33 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -107988\/5 > -21598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36.4 - 8.\nAnswer: -44.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/2)\/(76\/38).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-205)\/(-40) + -4 - 1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j - 2. Let w be i(3). Suppose w*x = 2*h + 102, -13 + 1 = 4*h. Calculate the highest common divisor of 216 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2367728921 to the power of 1\/3, to the nearest integer?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390150 = -2070*u + 2040*u. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31938681 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 (base 9) in base 4?\nAnswer: -1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121682153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 - ((-2)\/(-1) - 3 - -1) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101 and 159630702.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75757 by 6.\nAnswer: 75757\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 1131339 - 1131759 for n.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/748489 and 38\/161.\nAnswer: 748489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d. Let u(k) = 27*k. Let s(p) = 1442 - 14*p - 1442. Let r(j) = 13*s(j) + 6*u(j). What is z(r(i))?\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 1. Let j be (c\/(-6))\/(3\/(-267)). Let v = 15 - j. Is -1 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1564 and -25\/44.\nAnswer: 17204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -5*f - 9. Suppose 0 = 2*y - 9 - 1. Suppose -6 = -y*t + f. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*s - 32*s + 4*t - 4, -t = -4*s - 11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -113 + 110. Let w be (b\/6)\/((-9)\/54). Suppose 0 = 2*d + d - 15. Solve 5*p - w*p - l = -8, -d*p - 22 = -3*l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14632, 29241, 43864, 58507, 73176, 87877, 102616, 117399?\nAnswer: 132232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-8 + -2)) + 1 + 8 + 9.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 954 divided by -4.\nAnswer: -477\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 60032652*z.\nAnswer: -3*z*(z + 20010884)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-70)*16\/12.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 12:38 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 750 and 600?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 391358090, 782716175, 1174074260, 1565432345, 1956790430?\n\"Answer: 391358085*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149 - 24 - g + 12 + 4*g.\nAnswer: 3*g - 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 18. Give i(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -4357c58?\nAnswer: -4357c5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**2 - 9*j - 1. Let s(r) = -2*r**2 - 8*r - 2. Let y(g) = -3*k(g) + 4*s(g). Let p be -2 + 9 + -2 + 1. Let i be y(p). Solve -2*b + i = -5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 9*i**2 - 11*i - 7. Let q(k) = -3*k**2 + 7*k + 4. Let z(a) = a**2. Let w(s) = q(s) + 4*z(s). Let h be w(-7). What is the tens digit of y(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*12\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -34 + 31 - (0 - 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -840 - -0.2.\nAnswer: -839.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*4\/24)\/(10\/6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -43*g**3 - g**2 - 2*g. Let w(z) = -z**2 + 9*z - 15. Let u be w(7). What is the remainder when f(u) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 m, and 1 d when three letters picked without replacement from jxaxyamxajyyjd?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) -2\/2711 (c) 5\/2 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16\/153, -2, 28, -1?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1477*c + 739*c + 3 - 3 + 737*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 109224 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n - 3. Let v(b) = 2*b. Let m be v(0). Suppose -13 = 5*t - 2*o + 20, 2*o + 2 = m. Let w(k) = 4*k - 4. Calculate t*j(q) + 5*w(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h - 492 = -14*h. Let j = h + 427. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20.6 * -3503\nAnswer: 72161.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 15 - 3*y - 28.\nAnswer: -y - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*m - 25 = -0*m, 4 = -2*j - 2*m. Let t be j\/10*(-34)\/1. Solve 3*p + t = -f, -2*p = -f + 3 - 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwuuucftcumuuuu. Give prob of sequence cmu.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - m - 2. Let s(z) = 7*z**2 - 5*z + 24. Determine -5*j(f) + s(f).\nAnswer: 12*f**2 + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v**5\/7 - 2546*v**4\/7 - 160240*v**3\/7 + 33352*v**2 + 260096*v\/7 - 131072\/7 = 0. Calculate v.\nAnswer: -128, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1696 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzzvwzfhhyfwfhyv. What is prob of picking 1 v and 1 y?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -1, 0.3, 4.8, -6\/25, -4\/7 in descending order.\nAnswer: 37, 4.8, 0.3, -6\/25, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 - 8856*b**3 - 14135100*b**2 - 9424195000*b - 2107540031250.\nAnswer: -2*(b + 453)*(b + 1325)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1763 + -1755. Which is the closest to 3\/56? (a) x (b) 0.1 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**4 - 3*j**4 + j**4)*((-4 + 10 + 6)*(1 - 1 - 1) - 5 + 0 + 3)*(-3 - 3 + 4).\nAnswer: -56*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 104*n**6 + 218*n**2 wrt n?\nAnswer: 12480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -1. Let s(i) = 7*i**2 + i + 2. What is the tens digit of s(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82932?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11379845.\nAnswer: 5, 163, 13963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-165)\/(-30))\/(7\/(-336)). Does z = -1854\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40547 + 14*i - 121667 + 40556 + 40564.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**3 - 19*l**2 + 3*l - 10. Let n be t(-5). Let y(q) = 4 + 13*q - 5*q + n*q - 3*q. Calculate y(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44 times -915205?\nAnswer: 402690.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 42. Let q = -14.905 - 0.095. Let b = q - -24. Are b and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3900) + -1*sqrt(3900) + sqrt(3900))\/sqrt(3).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -0.3, -7, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, o: 4, h: 2, d: 3, n: 7}. What is prob of sequence od?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/265363 and -131\/770.\nAnswer: 29189930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from {w: 1, h: 5, x: 3, a: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-20843.\nAnswer: -83372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 257894 and 2366?\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**8\/56 - 247*a**7\/105 + 2203*a**4\/8 - 66*a**2 - 24*a + 1. What is the second derivative of f(l) wrt l?\nAnswer: 120*l**3 - 5928*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*l**3 + 47*l**2 - 47*l**2 + (-2*l + 2*l + 2*l)*(0*l**2 + 2*l**2 - 3*l**2) to the form v*l + k + b*l**2 + p*l**3 and give p.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112*(-34)\/(-1360)*15?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624003921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*h + 25. Suppose -8*z + 11 = h. Factor -1\/5*c**3 - 1\/5*c + z - 2\/5*c**2.\nAnswer: -c*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 21*m**5 - 741*m**4\/5 + 357*m**3\/5 + 6597*m**2\/5 - 11718*m\/5 + 648\/5 = 0.\nAnswer: -3, 2\/35, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 550741 to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, p: 4, n: 3, i: 1, v: 6, z: 3}. Give prob of sequence ijzp.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 + -172. Let v = c + 421. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -534 - 18?\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75 - -86) + (22 - (4 + -13)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = r + 663, 4*r - r + 987 = 3*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2 - 3*q + 3. Let r(s) = s**2 + 1. Let a(u) = -u**3 - 7*u**2 + 2*u + 17. Let n be a(-7). Calculate n*r(z) - f(z).\nAnswer: -z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddqdd. Give prob of sequence qddd.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 408460 + -6 + (22 - 21)\/(2\/14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-30))\/(10\/15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 15265191264910?\nAnswer: -15265191264909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3923577 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/79 at least 1.353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87 - 87 - 185*r**2)*(-2*r - 2*r + 2*r).\nAnswer: 370*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-754)\/22 - (536 - 571)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(2\/(-6))\/((-6)\/90)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -517.8 + 517.74754. Let a = d + 0.0539. What is a rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 7*p**2 + 4*p + 9. Let r be z(-8). Let j = r - 22. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 55.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/12*-2*-64. Let w be (-2110)\/(-26) - 12\/78. Let z = u + w. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28\/(-72)*-5182 + 4\/(-18)?\nAnswer: 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 k, and 2 q when four letters picked without replacement from {q: 8, k: 1, s: 11}?\nAnswer: 308\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 3\/7 (c) -0.3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14414960.7 hours to weeks.\nAnswer: 85803.3375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - c. Let b be 2 - (0 - c)\/1. Suppose u + 9 = 2*u - b*p, -2*u = 3*p - 18. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - m**4 - 2*m**4 - 2 + 2 + (0*m**2 + 4*m**2 - 5*m**2)*(-m**2 + 2*m**2 + 0*m**2) - m**4 + 3*m**3 - 3*m**3 + 4*m**4 - 10*m**4 + 2*m**4.\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*o + 13 = -z, 3*o - 11 = -z. Suppose -2*v - 4*d = 18 - 4, -z*d = 25. What are the prime factors of v\/(-1)*(-5)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (156\/(-36))\/(2457\/(-2268))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/((-5)\/(-10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -77, -95, -131, -191?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 19. Let z(w) be the third derivative of 0*w + w**t + 1\/3*w**3 - 1\/30*w**5 + 0 + 0*w**4. Differentiate z(q) with respect to q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**4\/2 + 739*y**3\/2 + 169233*y**2\/2 + 13457565*y\/2 + 95804775 = 0?\nAnswer: -391, -165, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -1\/2 (c) 2 (d) -7\/2 (e) -3\/4 (f) -174.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c**(7\/2)))\/(c*(c*c**(4\/13))\/c))\/(c*c*c\/(c*c**(3\/13))*c*(c\/(c**(7\/2)\/c))\/c) assuming c is positive.\nAnswer: c**(-53\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11845 (base 12) in base 2?\nAnswer: 101110001110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 31 = 5*m + 1, 19 = -3*m + 5*a. Let s = 761 - 745. Calculate the smallest common multiple of m and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -2, -36, 1 in descending order.\nAnswer: 3, 1, -2, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2765b48 + 1?\nAnswer: -2765b47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 + 2*o - 2. Let i(j) = -51*j - 10 - 858*j**2 + 2*j + 619*j**2. Let w(y) = i(y) - 5*k(y). Find the second derivative of w(z) wrt z.\nAnswer: -458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 244962452.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 less than 130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6093194, -6093195, -6093196, -6093197, -6093198?\nAnswer: -6093199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjxjxxjyyyd. What is prob of picking 1 j, 2 y, and 1 x?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06 and 40167473.\nAnswer: 40167472.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**5\/10 + 27*d**4\/2 + 230*d**3\/3 - 312*d**2 - 2*d - 221. Solve q(p) = 0.\nAnswer: -78, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i - 5. Let u be y(-4). Let j be 27 - -1 - u\/3. Let r = j - 11. What is the remainder when 47 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*a - 32 - 6*a + 46*a + 32.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 333662 - -0.125.\nAnswer: 333662.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -16, -3, -2, -1\/3, 0.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000 - -11011111010001000?\nAnswer: 11011111000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.8513272t?\nAnswer: 851.3272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*(3*sqrt(363))**2*1 - (sqrt(72)\/sqrt(6)*-1)**2*-6).\nAnswer: -19170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -73 + 6*s - s + 40*s**2 + 74 - s**3 - 34*s**2. Determine i(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*g = -9449561 - 9058705. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*q**4 + 22*q**3 + 3054090*q**2 - 285850574*q wrt q.\nAnswer: 36*q**2 + 132*q + 6108180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*u - 1731 = -2877 + 1396 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 510 = -7*r + 17*r. Let c = r + -33. Calculate the remainder when 125 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (3 - (-1 + 2) - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 5*j**2 - 7*j + 2. Suppose 0 = -29*q - 243 + 69. Determine r(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**5 - 20*x**4\/3 - 8*x**3 - 4*x**2 - 2*x\/3 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.06 - 3.7?\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11022110210000 (base 3) to base 2\nAnswer: -1000101111101100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 53*n + 199. Let m be p(-22). Suppose 3*c - 6 = 4*c. Let q be (0\/c)\/(m\/(1\/3)). Solve q = -2*w + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/6)\/((-8)\/60). Let d = b + 14. Put 2\/5, d, 1\/4 in ascending order.\nAnswer: 1\/4, 2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*a - 36 + 3 - 2 - 48*a as g + w*a and give g.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1416.139 plus -606744?\nAnswer: -608160.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 12, 4*h = t - 6 + 25. Suppose 0 = 4*y + b + 4*b + 5, -h = -y + 4*b. Solve 4*s - s - 11 = -o, 4*o + 4*s - 4 = y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/21)\/(-3)*(-43645)\/(-22446)*9\/260?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**9\/168 - 3*w**7\/70 + 14*w**5\/3 + 9*w**2 + 2. Find the third derivative of z(y) wrt y.\nAnswer: -360*y**3 - 216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 46. Let l(s) = -82*s + 81*s - 3 + 3. Let z(y) = g(y) - 5*l(y). What is the first derivative of z(n) wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 7*w**2\/2 - w - 4. Suppose 1 = -f + 2*f. What is the lowest common multiple of 16 and k(f)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143241109 is divided by 1001686?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 646554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 12:56 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.7*310261.\nAnswer: -837704.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 4:35 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44\/3 in -0.1, -2\/11, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 36, -102, -382, -852, -1560, -2554, -3882?\nAnswer: -5592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9693 is divided by 480?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -796 + 798. Let m(h) be the first derivative of 0*h - 1\/2*h**s - 7. Let t(k) = -5*k. Calculate -14*m(w) + 2*t(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 396 (b) -912 (c) -0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -164 - -164. Which is the closest to 0? (a) 15 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 4777731?\nAnswer: 4777735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113019 - 113019 + 27*m**3 - 302*m**3.\nAnswer: -275*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24024621 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43, 90, 153, 220, 279, 318?\n\"Answer: -2*w**3 + 20*w**2 + w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvvirssrsbrsirrr. Give prob of sequence sb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d + 9. Let u(q) = -4*q - 4. Let s(n) = -14*u(n) - 6*w(n). Let a(j) = 78*j - 312*j + 77*j - 1 + 72*j + 76*j. Calculate -8*a(l) - 5*s(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*a**4 - 23*a**3 - 10*a**2 - 11*a + 6194?\nAnswer: -84*a**2 - 138*a - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4153 (base 10) to base 4\nAnswer: -1000321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -142, -284, -420, -550, -674, -792?\n\"Answer: 3*n**2 - 151*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3892 divided by -4621\nAnswer: 3892\/4621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -80.73 and 0.3.\nAnswer: -24.219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7*t - 172 = 0. Let c = -40 + t. Let r be (-1 + 2)\/(1\/c). Solve r = -w + 4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 256*o**3 + 7777*o**2 + 32*o + 7777*o**2 - 15554*o**2 wrt o.\nAnswer: 1536*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h**2 - 61*h**2 + 42*h**2 - 1 - 3 - 108*h**2.\nAnswer: -138*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 15*k = -66. Let s(u) = u**3 - 10*u**2 - 9*u - 18. Let w be s(k). Suppose 0 = -12*b + 11*b - w. Put -0.19, b, 3 in increasing order.\nAnswer: b, -0.19, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -12) + (0 - 13) - -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 51532*m**2 + 6*m. Let g(c) = -14*c**2. Give b(g(w)).\nAnswer: 10100272*w**4 - 84*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-242)\/34 - ((-5719)\/798 - 2\/(-12)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (825\/(-10))\/55*2116\/46.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2221211 + 100?\nAnswer: 2222011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2817*m - 149. Is y(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252378337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-67 - 1) + 0 + 31 + -6?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 35. Let m = 8404 - 8406. Which is the third smallest value? (a) m (b) 2\/7 (c) y (d) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (2 + -3)) + -5 + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {p: 1, l: 5, b: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6536.417 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s**2 + 6*s - 5. Let x(t) = -t**2 - t + 1. Suppose 0 = -3*z + 6*n - 4*n + 18, 4*z + n = 24. Determine z*x(a) + u(a).\nAnswer: -12*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74897978 is divided by 279470?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 984614 is divided by 58?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019061 rounded to 6 dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-1*sqrt(931) - (sqrt(931) + sqrt(931) + sqrt(931) + sqrt(931) + 0 + 1)) + 4 + (sqrt(931) - sqrt(931)*1) + sqrt(931) + 1*sqrt(931) + 2)**2.\nAnswer: -70*sqrt(19) + 956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/30720488 and 65\/256.\nAnswer: 983055616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.03 (b) -1\/5 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4465 is divided by 445?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4242 + 0.407. Which is the fifth smallest value? (a) w (b) -1 (c) -3\/5 (d) 0.2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 1402?\nAnswer: -1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1419984 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, c: 10, f: 1, b: 2, g: 1, h: 1}. What is prob of picking 2 c?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, u: 2, z: 1, e: 6, c: 3, q: 2}. Give prob of picking 1 u and 3 e.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 11 = 4*q, -18 = 2*k - 4*q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 21767.7108 to the nearest one hundred.\nAnswer: 21800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.402 + 0.342. Which is the nearest to 1? (a) 4 (b) 0 (c) u (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2691577?\nAnswer: 7, 29, 13259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.4603084mm?\nAnswer: 0.04603084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Let l = 2051\/2 - 1002. Let y = 511\/22 - l. Which is smaller: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -63*u**2 - 780*u - 1498. Give i(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 1621f2?\nAnswer: 1621ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0425722 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/77*(-77)\/28?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 + -706.8?\nAnswer: -607.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 56807*j - 4537. Is s(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 14\/(-18) + 1. Let w = -90.9 - -91.6. Which is the closest to w? (a) 2 (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ka when two letters picked without replacement from xxaxkkaaxaa.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*z**4 - 6674*z**3 + 475*z**2 + 132430258?\nAnswer: -12*z**3 - 20022*z**2 + 950*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16447602 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 13 = t, 2*t + 11*s - 14 = 15*s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-2)\/((-5)\/(5\/6))). Let f(i) = -7*i**3 - 6*i**2 - 5*i - 2. Let k(m) = -4*m**3 - 3*m**2 - 3*m - 1. Calculate h*f(p) + 5*k(p).\nAnswer: p**3 + 3*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.5 + -17. Let y = -13 - s. Sort 2, y, -1.3, -2\/13 in increasing order.\nAnswer: -1.3, -2\/13, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14130136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 314216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 + -58. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1801080 divided by -2.\nAnswer: 900540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*o = -15 - 161. Is 57\/17 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 51988906?\nAnswer: 4\/25994453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 919722534?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5 - 18125*t**4 - 164379*t**3 + 21283609*t**2 - 225351218*t = 0. Calculate t.\nAnswer: -43, 0, 17, 18134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 54493056 divided by -288?\nAnswer: -189212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a millennium in decades?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2184430 by -190.\nAnswer: -11497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 7:48 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 11:49 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 92150 rounded to the nearest 1000?\nAnswer: 92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d - 5. Let v(p) = 4*p + 4. Give -4*b(w) - 5*v(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11842011 to the power of 1\/2, to the nearest integer?\nAnswer: 3441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = s + 1, 5*v = s + s + 20. Suppose 3*r = -3*o - 87, -3*o + v*r - 71 = r. Let i = o - -42. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/78 and -51\/18907135.\nAnswer: 113442810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -238*r**2 - r - 2. What is u(-1)?\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 21094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*u - 8*u. Suppose -3*r - 3*h - 15 = u, 0*h = -5*r - 2*h - 16. Calculate the remainder when (-6)\/(r - -4) + 21 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(-1)\/5 + 26364\/260. Calculate the greatest common factor of 136 and c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 3. Let n be u(7). Let b(j) = -j + 2. Let m be b(n). Let y(i) = -i**2 - 3*i + 1. Let t be y(m). Let g(p) = p - 3. Calculate g(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -1)*-10 - -3. Suppose -4*h - 32 = 4*u - 8*u, -2*u - 4 = 2*h. Solve u*z = 1 - r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 18*i**2 - 126*i + 1875. Determine f(20).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + i + (0*i - 3*i + i)*(-2 + 7 - 3))*(-12 + 8 + 7) as r + c*i and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9684658*l**5 - 20772*l + 37 wrt l.\nAnswer: -193693160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -327163\/18 - -18168. Suppose -1 = 2*d + 11. What is the common denominator of 4\/d + 267\/(-126) and n?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 66 - -13a6?\nAnswer: 143c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -1\/46 (c) 3\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2180\/11 + -198. Is m greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.8, -911, -2\/7, -3\/4?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/5, -65, 1696.\nAnswer: -65, -4, -2\/5, 1696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348451647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*m = 1117*m - 15246 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10972 or -230422\/21?\nAnswer: -230422\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1672 is divided by 440?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 12*v**2 - 11*v + 4. Let u be t(-11). Solve 0 = -r + 2*q - u, -3*r - 5*q - 1 = -0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 195.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 - -316. Suppose 10*l - p = 3356. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 118*d + 39 + 787 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2189671, -2189659, -2189639, -2189611, -2189575?\n\"Answer: 4*r**2 - 2189675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3\/3 - 825056*p**2 - 18150748*p - 299484680\/3.\nAnswer: -4*(p + 11)**2*(p + 618770)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 257 + -584. Let u = s - -2242\/7. What is the common denominator of u and ((-2)\/8)\/((-4)\/(-34))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*l = -4, -199*j + 204*j + 22*l + 74 = 0. Let h be (-7)\/3*(1 + -4). Let p(d) = 4*d + 1. Let q(b) = 3*b + 1. Determine h*q(t) + j*p(t).\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1780992 and -131\/1780992.\nAnswer: 1780992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 1 - 16 = 0, -5*i - 4*c = -32. Let j = -5 + i. Let b(f) = -f**2 - f - 1. Determine b(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (-24 - -37) + -6\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 3. Let t = -20.901 - -16.901. What is the closest to -7 in t, -1\/2, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9308 divided by -4?\nAnswer: -2327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553226 is divided by 1320?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-23 - -9) - (-1 + 11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8378*w**5 - 506*w**4 + 3*w**2 - 2*w - 117253950 wrt w?\nAnswer: 167560*w**3 - 6072*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 12:25 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 1136\/280) + 10968\/840\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12122 - -12121. Let r = 2 - 3. Let p be -2 + (12\/(-5))\/r. Which is the fourth biggest value? (a) 3 (b) 1 (c) p (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 7*g = -6. Let k be -8*(0 + 5\/g). Solve -2*i + k = 2*p + 3*i, 4 = 2*p + i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1528\/45 - -317\/9. Let g = 14\/15 - o. Let j = -13 + 16. What is the nearest to 1 in j, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, l: 2}. What is prob of picking 2 q and 1 l?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/11 + 23608*a\/11 + 69667208\/11.\nAnswer: 2*(a + 5902)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -3.1. Let z(t) = 5*t**2 + 471*t + 44. Let c be z(-94). Do q and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 201*n - 732. Calculate w(5).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -5, 5.88, 0.05, 0, 4\/7.\nAnswer: -16, -5, 0, 0.05, 4\/7, 5.88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 39 + 18 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z + 6 = 2*q, 0 = 2*z + q - 3. Suppose 2*k = -4*y + 8, -3*y + 9 = 2*k - z*y. Is 112\/k - (-1)\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 1. Let n(j) = j - 1. Let y(w) = -3*w + 3. Let p(l) = -6*n(l) - y(l). Give p(s) - 2*q(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.2 and -5562837.\nAnswer: -5562842.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 252473001 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.04, 0.1, 5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 105710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c + 168 = -17*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1471 + -1468. Solve -2*i + 1 = -3*n, -4*i + 0*i = -n + w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c + 10*c + 11*c as v*c + s and give v.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*z**3 - 2*z**4 - 1201*z + 597*z + 603*z + 2 as f + y*z**2 + h*z**4 + a*z + w*z**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 42. Let o = -21.4 - u. Let x = 0.0016 - -0.3984. Put 4, x, 0.02, o in decreasing order.\nAnswer: 4, x, 0.02, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + 27131*s. Let i(z) = -z**2. Calculate f(i(x)).\nAnswer: 2*x**4 - 27131*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29.981 + 0.019. Let f = -0.0209 - 30.4791. Let t = f + x. Which is the smallest value? (a) 3 (b) 0.02 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmz when three letters picked without replacement from {l: 1, j: 4, m: 2, z: 6}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -47*j**3 - 2*j**2 - j + 2. Determine q(1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 74 = 8. Let m be (-1325)\/(-15) + ((-8)\/c)\/2. Let s = m + -85. Solve 0*r - 26 = 4*x + 5*r, -x - s*r = 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -j + 13, -2*b = -3*j + 7*j - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -0.5, -0.3, 696\/37, 2\/9, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 14) in base 8?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) 0.095 (c) -0.4 (d) -2\/17 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 (base 4) in base 10?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9084 divided by -3.\nAnswer: -3028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13424 and 0.0239?\nAnswer: 13423.9761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 11) to base 6.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1312 + -1302. Let t(a) be the second derivative of -c*a + 0*a**4 - 5\/2*a**2 + 0*a**3 + 0 + 7\/10*a**5. Find the first derivative of t(i) wrt i.\nAnswer: 42*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + -2 + 0 + 20 + 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -9, 2, 53 in ascending order.\nAnswer: -9, 2, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52731 - 29246. What is the ten thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*t**2)*(t**2 + 2*t**3 + 0*t**2 + 4*t**2).\nAnswer: 4*t**5 + 10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1645.586 - -1676.1. Let r = -1.924 + a. Round r to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**3\/3 + 7*o**2\/2 - 30*o + 1. Give d(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30732 - 17905. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22002220012 (base 3) to base 5\nAnswer: -20101300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1344124?\nAnswer: 2, 336031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6*w = o, -3*w + 5 = o. Let i(k) = -o*k - k - k + k. Let c(r) = r + 4. Let h(n) = n + 5. Let m(f) = -5*c(f) + 4*h(f). Calculate 6*i(u) - 17*m(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 28712*w - 3359304. What is v(117)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/(-5))\/(2019\/405 + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*n + 6. Suppose -n = 4*z - 2*z. Let b be (z\/10)\/(4\/(-10)). What is the closest to b in -5, -1, -5\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/9))\/d**(-4) assuming d is positive.\nAnswer: d**(43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 27*w**2 + 1887*w - 160. Let a be p(-73). Calculate the greatest common divisor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*((1 + sqrt(288) - (0 + sqrt(8)) - (-1 + sqrt(18) - (1 + sqrt(162))**2)) + -4 + 2).\nAnswer: -4890 - 750*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**5*u + 110068*r**4*u**2 + r**2*u**2 + 1081*r*u**2 + 17*r*u + 6*u wrt r?\nAnswer: -120*r**2*u + 2641632*r*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezxxzzexxze. Give prob of sequence zx.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by -7?\nAnswer: -29\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 7. Suppose 3*g = -9 + 45. What are the prime factors of q(g)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 55745103 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -7667*j**6\/120 - 1787*j**3\/6 + 102*j**2 - 5. What is the first derivative of l(o) wrt o?\nAnswer: -23001*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7153\/3 + 2383. Which is the third smallest value? (a) f (b) -2\/3 (c) -11 (d) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 11 = -2*o, 0 = -c - 2*o - 1441160 + 1441153 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -86 - 2?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(2*l + l - 2*l)*(4*l**2 - l**2 - 2*l**2)*(3*l + 3*l - 4*l) - 55*l**4 - 959*l + 959*l.\nAnswer: -59*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmy when three letters picked without replacement from {y: 1, j: 1, m: 2, c: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 + 1. Let o be r(-2). What are the prime factors of (o\/(-4))\/(1\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/70)\/(-1))\/((-228)\/2280).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 48*c**2 + 81*c - 78. Let t(o) = -17*o**2 - 27*o + 26. Let r(m) = 6*n(m) + 17*t(m). Let r(k) = 0. Calculate k.\nAnswer: 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 27764*r - 277682. Give j(10).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*f + 17. Calculate the remainder when (6 - -2)\/((-2)\/8*-1) is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 40. Suppose 8*p - 16 = -h*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 470 = 7*p. What is the common denominator of 97\/4 and p\/22 + 0\/(-1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12255, 24269, 36281, 48291, 60299, 72305, 84309?\n\"Answer: -x**2 + 12017*x + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 2. Let w be 3\/((-33)\/(-429) + 115\/(-130)). What is the fourth smallest value in 2\/17, j, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100324870 and 50162435?\nAnswer: 100324870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 95\/12893?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + 35 + (10 - 42) + -1 + -4?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-495)\/(-44)*(-2)\/70*12\/9.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 4. Suppose -3*r + 5 = -z. Suppose -54 = -r*h - 0. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*o = -43, -c + 3*o + 3 = 9. Is c < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 4, -5*s - 40 = -3*q + q. Let h(u) = 4*u**2 - 3*u - 3. Let r be h(3). Let i = r + -14. Calculate the greatest common factor of q and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 124*o**3*z**3 - o**3*z - 97*o**2*z**3 + 1420*o*z**2 + 5*z**3 wrt o.\nAnswer: 744*o*z**3 - 6*o*z - 194*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24410670*w**2 + 23060432*w?\nAnswer: -48821340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o. Let x(h) = 14494277*h. Determine x(a(r)).\nAnswer: 14494277*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**5\/20 - 5*h**4\/6 - 4*h**3\/3 + 4*h**2 - 5*h. Give g(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19498 or 19489?\nAnswer: 19489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*z + 3185, 3*z + 7296 = 4*g - 5459. Find the second derivative of 23*l - 3191 + 13*l + g - 129*l**4 wrt l.\nAnswer: -1548*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by -5\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7 - 58) + 3 - -7) + (59 - 43).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 13*f**2 - 2*f + 3. Let o be t(13). Let q = o + 17. Let m be 48\/16 + q\/2. Put -3, m, -5 in decreasing order.\nAnswer: m, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -22*n**2. Let a(j) = -1330757*j. Give a(g(q)).\nAnswer: 29276654*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -394650 divided by 131550.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = f. Let y be (0\/(f - -2))\/2. Solve c = -y*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 1\/6*c**4 - 2 + 0*c**3 - 1\/2*c**2 - 4*c. Let d(g) be the first derivative of i(g). Find the first derivative of d(z) wrt z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 13 = -4*h. Let v = -43\/46 + 10\/23. What is the second biggest value in h, 1\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 124\/7 - 16\/(-56). Calculate the greatest common factor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 0.405115?\nAnswer: -3.594885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -175780, -175742, -175704?\n\"Answer: 38*f - 175818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a*a\/((a*a**(-3\/7)*a*a*a)\/a)*a))\/((a*a**(-1\/6)*a*a)\/a))**(2\/71) assuming a is positive.\nAnswer: a**(-137\/1491)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*w**3 - 2*w**3 - 7*w**3 + (6*w**2 + w - w)*(8 - 3*w - 8).\nAnswer: -35*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 54437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -14*v - 6. Let i be (-20)\/(-15)*v\/(-28). What is the smallest value in -0.1, -11, i?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**2\/2 - g - 1. Let d = 1 - 2. Let p be f(d). Solve r - 4 - 1 = p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 135 = -5*p. Let g = -10 - p. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -6*w + 8. Suppose -t + w*t - 49 = 0. Suppose 14*y - 9*y = 35. Calculate the highest common divisor of y and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {l: 5, u: 4, x: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 18.4 times 2039\nAnswer: 37517.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2848 divided by 32.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -11 (b) -668 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -26, 15, 7, 1, 662 in increasing order.\nAnswer: -26, 1, 2, 7, 15, 662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4697829 and 3?\nAnswer: 4697829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003069 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1))**(2\/9)\/(s*s**(-1))**(-16\/3))\/((s*s**(-1))**(-30\/13))**(-2) assuming s is positive.\nAnswer: s**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -9*i. Let m(k) be the second derivative of -k**4\/6 + 4*k. Determine x(m(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 + -118.4. Let c = s - 6.6. Sort 2\/5, 0.2, -1, c in ascending order.\nAnswer: c, -1, 0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**3\/6 + y**2. Let x(g) be the first derivative of -7*g**2\/2 - 5*g - 49058. Determine -6*d(p) + x(p).\nAnswer: -7*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92774*u**2 - 30926*u**2 - 30920*u**2 - 30928*u**2 - 19*u - 6*u**3.\nAnswer: -6*u**3 - 19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 49 + 1 = 0. Let q = i + 31. Let n(f) = -1. Let k(z) = z**3 - 7*z**2 + 5*z + 7. Let c(a) = k(a) + n(a). Determine c(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6367140 divided by -1273428\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 173059.748 and 175011.\nAnswer: 348070.748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o**3 - 4*o**2 + 4*o + 6. Let k = -181 + 179. Let u be k*(0 - 12\/(-6)). Let i(f) = -6*f**3 - 5*f**2 + 5*f + 7. What is u*i(b) + 5*h(b)?\nAnswer: -b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - ((-9 - -2) + -23 + 18)) + -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/10 - 4003283*x\/2 - 30024618\/5.\nAnswer: -(x + 3)*(x + 20016412)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 232*g**2 - 76*g - 303. Is x(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 12 - 101*t**2 + 399*t**2 - 104*t**2 - 7*t - 195*t**2. Calculate k(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**6\/720 - t**4\/4 + 3*t. Let z(o) be the third derivative of v(o). Let i(g) = g. Calculate i(z(b)).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 0.1885, 9\/106, 4\/3?\nAnswer: 9\/106","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1172964 and 2345928?\nAnswer: 2345928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 5*g**4\/12 - g**3\/6 - g. What is the second derivative of z(p) wrt p?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 223985 = -u + 5*n, 3*u + 167997 = n. What is u rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*sqrt(2057) + -4).\nAnswer: 4 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 10 - 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*s + 2*b - 522, b = -2*s + 351. Let r = s + -124. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/521, 0.1, -18, 3\/8, 17?\nAnswer: -1\/521","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (14 - (3 - 1)). Suppose g = 2*f, -4*f = n + 2*n - 44. What is the derivative of 4*k**2 + n + 2 - 7 wrt k?\nAnswer: 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 73201 = r, 3*i = 6*r - 10*r + 54917. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 2*i + 22*i**3.\nAnswer: 22*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 1765*k**2 - 898692*k + 1790316.\nAnswer: (k - 411)*(k - 2)*(k + 2178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2)*s**(-5\/4)*s*s assuming s is positive.\nAnswer: s**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 6 = -5*j. Calculate the lowest common multiple of 33 and (-4 - 93\/(-3)) + 1*j.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z. Suppose 4*b - 2*m - 10 = 0, -25 = -0*b + b + 5*m. Let i(w) be the second derivative of 1\/12*w**4 + 0 + 2*w + 0*w**3 + b*w**2. Give i(y(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1009*j + 733. Is m(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(192)*5*4)\/((sqrt(484) - 2*sqrt(484)*-2)*-4))**2.\nAnswer: 192\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 379994 - 171037. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 58*d - 837. Give b(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -31.\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w**2 - 17*w + 20. Let b be x(14). Suppose 2*p + p = b. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tpkx when four letters picked without replacement from kpntxaxxakkattxtaak?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 64729640 bigger than 64729624?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -13*c - 39. Let q be a(-3). Solve q = f + 8 - 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3008 is divided by 66.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180 + 180 - 8*c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.129*-105.13\nAnswer: 13.56177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.72 rounded to 1 dp?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d - 62*d**2 - 78*d - 138*d + 1 + 56*d**2.\nAnswer: -6*d**2 - 210*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1675.88 - 1720.0495. Let r = -0.0695 - l. Round r to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (1 - 1)) + -4. Let w(v) = -3*v - 8. Let u be w(q). Suppose x - 3*b + 5 = 0, 3*x - 2*x = 4*b - u. Calculate the least common multiple of 8 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369050 is divided by 968?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/3808 and 20\/439?\nAnswer: 1671712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 181*d**2 - 358*d + 1627. Determine l(-183).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-69)\/2 - (-1)\/(-2)*3. What is the tens digit of (-748)\/s - 0 - 4\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3896 (base 13) to base 4.\nAnswer: -1332002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/25522, 0.3, 0.11, -2\/9, -0.3?\nAnswer: -1\/25522","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 83 + -31. Calculate the remainder when i is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 - 12*g - 8. Is m(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.392656 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1968480 is divided by 51801?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189*-12764.4.\nAnswer: -2412471.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = 0. Suppose x*o = -3*o + 48. What is the highest common divisor of 64 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 725 and 11?\nAnswer: 7975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1317 - 1292 + 2521)*(5*g + 5 - 7*g - 14).\nAnswer: 176*g + 792","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 306182 and 7366?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 32*z + 261. What is b(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6588613 divided by -2.\nAnswer: -6588613\/2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {m: 10, x: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) - (-140)\/15. Let u = 5 - m. Let f be 3\/(-6)*(u + 4). Solve 0 = -5*k - f*k + 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18, -0.4, 1, -1\/3, 0.31 in increasing order.\nAnswer: -0.4, -1\/3, -0.18, 0.31, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 77, 113, 165, 233?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98500825?\nAnswer: 5, 3940033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1341 - 1342. Which is the nearest to n? (a) -0.4 (b) -0.3 (c) 9 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 0)\/(16\/40). Let g(h) = 32*h - 26*h + b*h**2 + 0*h**3 + h**3. What is g(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51795 is divided by 166?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 262138120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 2*k = -36, -4*k + 40761 = 40713 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)*k)\/(((k*k**(-10)*k*k)\/k)\/k)*(k*k\/(k\/k**(6\/11)*k*k*k))\/(k*k**(3\/7)*k) assuming k is positive.\nAnswer: k**(-68\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -17, -12, -1133.\nAnswer: -1133, -17, -12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971075072?\nAnswer: 2, 11, 172421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + (sqrt(500) - 3*sqrt(500)*4 - (sqrt(500)*4 + 4))))**2.\nAnswer: 28800*sqrt(5) + 1800576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 78*z**2\/11 - 636*z\/11 + 96\/11 = 0?\nAnswer: 2\/13, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**2 - 2*j + 5. Let v(d) = 2*d**2 + d - 3. Let f(g) = -3*c(g) - 5*v(g). Let z be ((-34)\/(-51))\/(2\/(-3)). What is f(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -27 - 7. Let z = 47\/74 - 5\/37. Which is the third biggest value? (a) z (b) u (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*p - 2026, 2 = -4*p + 26. Which is smaller: 2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.6 - -1.4. What is the nearest to 1\/2 in 0.4, a, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*m = -60*m + 160. What is the greatest common factor of m and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50034999?\nAnswer: 3, 7, 19, 89, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -182\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -155*r + 15555 + 574*r - 2*r**2 + r**3 - 15561 as g*r**2 + m + h*r + c*r**3 and give h.\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 5*k - 28 = 0, -3*f - 2*f - 4*k + 26 = -10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -39*v**3 - 2*v + 1. Let x be c(1). Let u = x + 23. Let n = u - -24. Calculate the lowest common multiple of n and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9739, 9814, 9889, 9964?\nAnswer: 10039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546598827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 10:49 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g. Let f(a) = 30346666*a. What is w(f(x))?\nAnswer: 151733330*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**2*q**3*x - 733*m**2*x**3 - 14*m**2 - 2*m*q**2 + 2*m*q - 9*m*x + 3*q**3 - 387*q*x**3 wrt m?\nAnswer: 6*q**3*x - 1466*x**3 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3306 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**2 - 8*o**2 - 3*o**2 - 19*o**3.\nAnswer: -19*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1993?\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-12)*(-440)\/(-1540)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -0*h + 5*h. Let g(j) = -20370*j**3 - 2*j**2 - 2*j + 4. Let o be g(h). What is o rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/(-32))\/(1\/(-12)). Let d be (2\/10)\/(30\/50). Does d = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.006 + -0.306. Which is the closest to 3? (a) x (b) -1 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 5:28 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 515, 969, 1727, 2789, 4155, 5825, 7799?\nAnswer: 10077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 2\/32) + (-2585)\/(-5264). Sort 1916, -3, f in descending order.\nAnswer: 1916, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 15 = 5*h - 36, 4*h - 39 = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 3) + 4 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-2 + 14) - -10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 6*f - 7*f + 22703, z = f - 22702. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*8\/20)\/(63\/21)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*n + v + 5, -5*n - 5*v = -50. Let k = -13.35 - -13.23. Is k less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 27. Let d(b) = 8*b - 7. Let n be d(1). What is the nearest to 2 in q, n, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (76\/(-8))\/((-1)\/6) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -183 equal to -185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 4*o = -10. Suppose -2*b + 15 = o. Suppose 0 = -2*y + b*y - 21. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 83, 99, 143, 227, 363, 563?\nAnswer: 839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**3 - 4*u**2 - 4*u - 1. Let b be g(-1). Suppose 0 = -b*h - 37 + 46. Sort -5, -9, h in ascending order.\nAnswer: -9, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 - 15*w + 9. Let s be n(7). Suppose -l = 3*t + 1040015, 5*l - t - s*t = -5199985. What is l rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 6 - 2)*(2 - 1 + 1) + 5 - 2 - 2)*(-590*x**3 + 24*x**3 + 273*x**3).\nAnswer: -879*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 10442*r**2 - 18*r - 20. Suppose -l - 21 = x + 2*l, 0 = 3*l + 15. Let o be n(x). Round o to the nearest 10000.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -10*r**2 + 12*r - 9. Determine a(4).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/((-15)\/(-17)) - 3\/(-9). Suppose -3*v - g = 3*s, -2*v - 1 = 5*s - 3. What is the lowest common multiple of s and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6787 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: What is the hundred thousands digit of 1410303?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4 - 2. Let o = -1669 - -1665. What is the nearest to x in -1, o, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiihhihiiiiii. Give prob of picking 3 i.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 11215893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 + 3?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -21205*k - 84814. Calculate w(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 15*w**2 - 30*w**2 - 18*w + 14*w**2. Let v be y(-14). Calculate the highest common divisor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 560069349 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -8*x - 2. Let v be h(-3). Suppose -3*w + 3*g + 5 = -2*g, 4*w + g - v = 0. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 897 and 1004640?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 16*o - 33. Give c(15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhohhhhohoohhohohhh. What is prob of sequence hhh?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -3461.\nAnswer: 1\/3461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from {w: 2, v: 2, d: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n. Let x(k) be the third derivative of -k**5\/10 - 8*k**2. What is i(x(b))?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -127, -442, -1019, -1936, -3271, -5102, -7507?\nAnswer: -10564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 17*i**4\/24 - 137*i**3\/6 + i**2 - 13*i. Differentiate p(y) with respect to y.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 119 or -3\/61?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(s*s**(15\/7))\/s)*(s*(s\/((s**13\/s)\/s)*s)\/s*s)\/s)**(-29) assuming s is positive.\nAnswer: s**(2262\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 2*d + 2. Let o = 16 + -9. Suppose -o = -4*g - 5*v, -5*v + v - 13 = -3*g. Calculate the remainder when z(g) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-15) + (-83182)\/(-5970) + 17\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 - 5*u**2 + 2 + 6*u**2. Let r(c) = c + 2. Let z be r(-3). Let g(t) be the first derivative of t**3\/3 - t + 1. Calculate z*y(s) - 2*g(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 + -53. Solve 48*j - 72*j**4 + 73*j**2 - 16*j**5 + j**5 - 28*j**3 - 32 - r*j**5 + 31*j**2 = 0 for j.\nAnswer: -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000012295 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 25415*k - 457494. Give z(18).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15.8 - 12.8. What is the smallest value in 0.3, a, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - 2. Let o be (-188)\/b + 2\/8. Solve -o = -v + 4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**3 + 8*r - 9*r - 27*r**3. Calculate the remainder when w(-1) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*j - 829440 = -43*j + 16*j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*g = -5*d - 846, 2*d = d - 7*g - 26*g + 4*g - 261 - 111 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + y + 28. What is a(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 4 - 31*p**2 + 6.\nAnswer: -31*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(325)) + -2.\nAnswer: -2 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 j when four letters picked without replacement from {m: 1, h: 3, j: 4, i: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 28484947 - 0.030506\nAnswer: 28484946.969494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172, 179, 192, 211?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, -95, -734, -2029, -4184, -7403, -11890, -17849?\nAnswer: -25484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 3. Let j(i) = -i + 3. Let y be j(6). Sort a, 1, y in decreasing order.\nAnswer: a, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - -0.5. Let q = -5.826 + -0.074. Let u = q + z. Sort u, -1, -0.2 in descending order.\nAnswer: -0.2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d**2 + 3*d + 7. Let q(n) = 5*n**2 + 3*n + 7. Let f(w) = -7*q(w) + 6*t(w). Is f(8) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x - 26. What is the units digit of u(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*f + 684 = -101*f. Calculate the remainder when 1552 is divided by f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a**2 + 2*a**2 + 0*a**2 - 20*a)*(3*a - 4*a + 2*a) to l*a**3 + j + x*a**2 + q*a and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 352 = 4*x, 0 = 3*a - 5*x - 0*x - 397. Suppose -3*u = -7*u + a. Suppose -u = -r - 4. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 2*g + 5. Let x be z(5). Is 2*(-2)\/x + 1983\/15 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1507 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(2*6\/(-36))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17348333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 10:36 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.8 - 2.8. Let m be (-80)\/360 - ((-8)\/(-126))\/1. Let n = 2.9 + 1.1. Put f, n, m in decreasing order.\nAnswer: n, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93873842 rounded to the nearest one hundred thousand?\nAnswer: -93900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + 7146 + 2 - 40\/(-8).\nAnswer: 3, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a meter in millimeters?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 238*s**2 + 6767*s + 160. Calculate l(-33).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -27. Let i(k) = 26*k**2 - 5*k + 4. Is i(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14410 (base 9) in base 8?\nAnswer: 23122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50733.95 nanometers to kilometers.\nAnswer: 0.00000005073395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1077, -1148, -1219?\n\"Answer: -71*r - 1006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44495 and 42877?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -3\/3068, -6, -3\/5, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3*m + 2*c**2*m**2 + 33*c**2*m + 36*c**2 - 15*c*m**2 + 4*c*m + c - 52*m**2 + 1 wrt c.\nAnswer: -6*c*m + 4*m**2 + 66*m + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 59609.7 weeks?\nAnswer: 36051946560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -6. Let n be f - (-4)\/(0 + 2). Suppose 5*b + 30 = n*w, -w + 6*w = -4*b + 39. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/(-540)*8\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - a**4 + 4 - 7*a**3 + 7*a**3 - a as m*a + c*a**3 + p*a**2 + x*a**4 + u and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-1) - 5) + 59. Suppose 3*q - 2*b - 3*b = t, -4*q = 5*b - 63. Let s = -12 + q. Solve -8 = -3*w + 4*h, -h + 2*h - 15 = s*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v = -5. Suppose 3 = b - v. Let j = -1 + b. Calculate the smallest common multiple of j and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26060 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*h**3 - 38*h**3 + 4*h**4 - 18*h**2 + 0*h**3 - 18*h**2.\nAnswer: 4*h**2*(h - 9)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10176 + -4505. What are the prime factors of i?\nAnswer: 53, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -27, 2, 51, 120, 209?\n\"Answer: 10*r**2 - r - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 138, -1.065, -0.29, -0.07, 1 in increasing order.\nAnswer: -1.065, -0.29, -0.07, 1, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**3 + 2433. Let a(k) = -6*k + 33*k + 8*k. What is c(a(x))?\nAnswer: -3675*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**6\/30 - 8*s**5\/5 + 109*s**3\/3 + s**2 + 115*s. Find the second derivative of x(p) wrt p.\nAnswer: 12*p**2 - 192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/15)\/((-120)\/225).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + -12 - 0) + -28.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*x - 10. Suppose 0 = -2*s - 4*i + 6, x*s - 3*i = s + 18. Let f(m) = 3*m**2 + 7*m - 4. Calculate the remainder when f(-4) is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211014 (base 5) to base 8.\nAnswer: 15541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11779224 - -1.61.\nAnswer: -11779222.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (2 - (2 + 9)). Suppose 0 = 4*v - 0*v - c - l, -5*c + 24 = 3*v. Differentiate 1 - 2*k**4 + k**4 + 1 - v with respect to k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5695*i - 9115*i + 3221*i.\nAnswer: -199*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 9. Let z be j(-10). Let n be -10*3\/(-15)*z. Suppose -64 = -n*l - 2*w, -2*l - 138 = -6*l - 2*w. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvh when three letters picked without replacement from vvvvhvvvvvvvhvvvhh?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1729875*k**3*s**2 + 10*k**3*s*t + 152456*k**2*s**2*t - 7*k**2 - 3*k*s*t wrt k.\nAnswer: 10379250*s**2 + 60*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75006475 divided by 15001295.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 15*f**2 - 3*f - 3 - 23*f + 26. Let b(l) = 7*l**2 - 13*l + 11. Let m(p) = -13*b(p) + 6*g(p). Is m(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 61541\/14369?\nAnswer: 61541\/14369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2. Let k = 86.69 - 86.8. What is the second biggest value in -3, k, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -5. Let r(i) = -2*i**x + 2*i**2 + 2*i**2. Let n(b) be the third derivative of b**5\/15 + 10*b**2. Calculate n(r(f)).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 42000?\nAnswer: -42010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 42 - 50. Suppose -2*a + 3*i - 2*i = -z, -i - 4 = -3*a. Solve 2*r - 18 = 3*x, a*r - 3*r + 21 = -3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3844, -2822, -1792, -754?\n\"Answer: 4*g**2 + 1010*g - 4858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 83552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 928239 + -4.\nAnswer: 928235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81770*f - 46*f**2 + 81770*f.\nAnswer: -46*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 5. Let u be b(-6). Let k = u + 3. Suppose 45 = 5*y + 4*a + a, -k*y - 5*a = -30. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-24) - 95\/6. Let k be (-2)\/4 - (-328)\/j. Is 5 a factor of -10*(3 + k\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (-33)\/(-44)*-12) + (6 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.208153ms in microseconds?\nAnswer: 9208.153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1201 - -31526?\nAnswer: 33030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 124*y + 52*y + 133*y - 3 as n + s*y and give s.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10180180, -40720730, -91621626, -162882850, -254504384, -366486210, -498828310?\nAnswer: -651530666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -151638, -303277, -454914, -606549, -758182, -909813, -1061442?\n\"Answer: d**2 - 151642*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 100470829 a multiple of 2088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -16156, -3 in descending order.\nAnswer: -3, -4, -5, -16156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 775 a factor of 68919200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tddttdtttt?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 25508 times -0.3\nAnswer: -7652.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 1:17 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -v + 15. What is the greatest common factor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.2 and -0.38?\nAnswer: 0.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -296 divided by -4?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*b + 2*n + 14 = 125*b, -2*n = -6*b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = c - 27. Let p(a) = -12*a - 9. Let x(w) = -3*w - 1. Let q(v) = -p(v) + 6*x(v). Let m(l) = 11*l + 0 + 0 - 5. Calculate c*m(j) + 5*q(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7681, -7695, -7709, -7723, -7737, -7751?\n\"Answer: -14*x - 7667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12943 or -12954?\nAnswer: -12954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -101*o + 14. Is w(-3) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 270187, 540365, 810541, 1080715, 1350887?\n\"Answer: -y**2 + 270181*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2718297 is divided by 2210?\nAnswer: 2207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 676 and 104442?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -0.5774.\nAnswer: -4.0418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from {j: 1, y: 1, p: 1, z: 1, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06635098 to three decimal places.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.219104 rounded to 3 decimal places?\nAnswer: -17.219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 - 46*k**2 + 4*k - 91. Let l be w(23). Solve j = l - 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = 94*z + 27 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x + 5 + 2 - x**2 + 4*x + 2. Let y be n(7). What is the tens digit of 2 - 6\/y*-21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2871 times 13386.4?\nAnswer: 38432354.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 + 4*s**2 - 3*s**2 + (-2 - 2 + 2)*(-4*s**2 - 3*s**2 + 3*s**2) + 6*s**2 - 6*s**2 - 13*s**2 - 3*s - 2*s**2 + 3*s - 8*s**2 + 8*s**2 - s**2 - 4*s.\nAnswer: -9*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*y**4 + 14*y**4 + 26*y**2 + 38*y**4 wrt y?\nAnswer: 576*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 34 + 46\/3*c**3 + 78*c + 0*c**2. Differentiate w(o) with respect to o.\nAnswer: 92*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 9:09 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 7. Let c be v(10). Suppose 7 - 25 = -c*f. Solve 9 = -3*q - f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qeeeeeemeeejjrmerrjm. What is prob of sequence errq?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -20*x**2 + 175*x + 5. Let y(u) = 17*u**2 - 176*u - 4. Let z(n) = 4*p(n) + 5*y(n). Suppose z(b) = 0. Calculate b.\nAnswer: 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 10) to base 2\nAnswer: 110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -876*p**2 - 696*p**2 - 7515*p**2 - 1833*p**2.\nAnswer: -10920*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 1007 = -4*w, 0 = -2*p - 4*w + w + 407. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -235*h**5 - 2*h**3 + 3961*h**2 wrt h?\nAnswer: -14100*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*z + 12 - 25 + 12 + 2*z**3 as w*z**2 + s + b*z + h*z**3 and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/2751 and 4\/2751?\nAnswer: 2751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**(-4)\/u)*u*u*u**5)\/(u**(1\/6)\/u*u**2)*((u*u\/(u**(2\/15)\/u*u*u))\/(u*u\/u**(-5)))\/(u**(2\/3))**(25\/2) assuming u is positive.\nAnswer: u**(-49\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3558128 and 1008.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121 - (-14097)\/(-3219)*-29.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/8, -1.9, -193, -1\/31?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -8*x**2 + 10*x - 2. Let n(v) be the second derivative of 17\/12*v**4 + 2*v**2 - 7\/2*v**3 + v + 0. Let u(d) = -2*n(d) - 5*y(d). Solve u(k) = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.6 - -4.91. Let x = k + 96.79. Let b = -91 + x. Round b to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 2*s - 77 = 0, -3*a - 677*s + 330*s - 89 = -343*s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**4 + h - 5*h**2 + 3*h**2 - 199 - 197 - 23*h**3 + 393 in the form g*h**3 + s*h + i*h**4 + k*h**2 + d and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 217 - 191.4. Let g = -28 + 2. Let d = g + n. Put 0.2, d, -2 in descending order.\nAnswer: 0.2, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -239 + 247. Let w be 6\/(-8) + 54\/b. What is the greatest common factor of w and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24 (b) -2414 (c) -54 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s + 6. Let b be v(-6). Let o be (-2 + (-7)\/(-4))*b. Suppose -o*q - 228 = -7*q. List the prime factors of q.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2. Suppose 4*j - w - 4 = 0, -j - 16 = 2*j + 4*w. Let c = 16 + -13. Let m(n) = n + j*n - c*n. Calculate x(m(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3519 + 2425. Let t = 1600 + k. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*((-18)\/(-8) + -2). Let d be 0 + (2 - (w + -2)). Find the first derivative of -1 + l**4 + 0*l**d + 0*l**2 + 2*l**4 wrt l.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*x = 192*x + 72. Let w(h) = -14*h**2 - 8*h - 16. Let s(a) = -9*a**2 - 5*a - 11. Give x*s(n) - 5*w(n).\nAnswer: -2*n**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4 = 3*d. Suppose -2*r - 14 = -5*c, -2*c + 5*c = -4*r - 2. Let n(f) = f**2 + f**c + 5*f**d - 2*f**2. Let u(q) = 2*q. Determine u(n(p)).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1065*j - 103*j - 62*j + 469*j + 636*j in the form a + v*j and give v.\nAnswer: 2005","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2881 - 612 = -654*y - 166 + 5175 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 255 - 159. Find n, given that -204*n**5 + 279*n**4 - j*n - 12 + 339*n**5 + n**3 - 76*n**3 - 231*n**2 = 0.\nAnswer: -2, -2\/5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, q: 4, m: 2, f: 1}. Give prob of sequence mq.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from {s: 4, f: 5, j: 8}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 0*w - 11 + 21*w - 30*w to r + b*w and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177 = 2747*z - 2863*z - 3767 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1099*l = -2*a + 1100*l - 8, 16 = -2*a - 3*l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 516*y**2 + y - 20. Let f be s(8). Suppose 5*c + 3961 = -w - 7054, -3*w - 4*c = f. What is w rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93044849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 9:55 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 350.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71.28 + -75.957. Let c = f - -4.6. What is c rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d**3 + 2*d**3 + d**3)*(-2 + 4 + 1) + 2*d - 2*d + 2*d**3 + 6*d + 3*d**3 - 6*d to the form z + o*d**2 + r*d + x*d**3 and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 4, -8 in increasing order.\nAnswer: -8, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.12080335 rounded to 4 decimal places?\nAnswer: 3.1208","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 137. Let l be o(0). Let t = 252 + l. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 49, -1\/4338 in descending order.\nAnswer: 49, -1\/4338, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.061 - 0.061. Let y = -1 + 0.9. Which is the closest to y? (a) 4\/7 (b) 1\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 44362392 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23566?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {u: 3, j: 1, f: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 11:31 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4916 = 3*k + 1724. Suppose -3*m = -5*v - 1522 + 474, 0 = -3*m + v + k. What are the prime factors of m?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37365 to the power of 1\/2, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*n - 7*n - 1024. Calculate the greatest common divisor of n and 1088.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**(-20\/7)\/((s**(-5)*s*s)\/(s*s*(s*s**(-2))\/s)) assuming s is positive.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-14) - (-80)\/14. Let q(m) = -m**2 + 10*m + 11. What are the prime factors of q(u)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.3. What is the smallest value in -2\/3, -0.3, i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10789808, 21579591, 32369376, 43159163, 53948952, 64738743, 75528536?\n\"Answer: g**2 + 10789780*g + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 34\/165, 7, -0.0488 in ascending order.\nAnswer: -0.0488, 34\/165, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 208*m + 34. What is the units digit of g(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137478 divided by 6249?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*c + 10*c - 42*c + 11 + 2*c + 3.\nAnswer: -53*c + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) -4\/15 (c) -29 (d) 332\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**5\/80 - q**4\/24 - q**3\/24 + q**2\/4 + q + 2. Let y(x) be the first derivative of t(x). Suppose y(m) = 0. What is m?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -838\/7 - -120. Let i = 2 - 2.1. Which is the nearest to f? (a) -4 (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(13) + 3*sqrt(26)\/sqrt(2))**2 + ((-1*sqrt(637))**2 - (sqrt(143) + (sqrt(143) - sqrt(143)*-1) + sqrt(143) + sqrt(143))\/sqrt(11)) + 4.\nAnswer: -5*sqrt(13) + 654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122944 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/29)*j\/j**(14\/9))\/((j**(-1\/12)\/j)\/(j**(2\/11)\/j)) assuming j is positive.\nAnswer: j**(7357\/11484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2033\/(-595) - (279 + (-365708)\/1295)?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + g**2 - 8 + g**3 - 1 + 6 + 6 - 3*g**4 to j + r*g + m*g**3 + b*g**4 + l*g**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -981, -3949, -8895, -15819, -24721, -35601?\n\"Answer: -989*b**2 - b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 92, 135, 216, 347, 540?\nAnswer: 807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 59 = 9*l - 5*b, l - 4*b - 23 = 0. Let n be -10*24\/60 - (-46)\/l. What is the nearest to -1 in 1\/27, n, -1, -5\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5 = -4. Let f(k) = k**2 - 6*k + 4. Let t be f(5). Put 3, t, l in ascending order.\nAnswer: l, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 45\/2 of a meter?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -12*m**2 - 18*m - 3. Let y be (5 - 5) + 1*-3. Let k(w) = 11*w**2 + 19*w + 4. Let t(i) = y*k(i) - 2*z(i). Determine r, given that t(r) = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 223 + -217. Let b be 171599998\/(-6) + (-2)\/m. What is b rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 651 + -1043412?\nAnswer: -1042651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**5 - 16*o**4 + 40*o**2 - 4*o - 24 = 0. Calculate o.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 101048637 to the power of 1\/3, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -11*h**2 - 15*h + 65. Let o(z) = -4*z**2 - 5*z + 22. Let y(u) = 8*o(u) - 3*t(u). Let m be y(-8). Solve 2*x = -0*j - 3*j - 2, j + 12 = m*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-44)\/6 + (-2)\/(-6). Let f be (4 + 0)\/(5\/3 + -1). Let w(k) = 8 + f*k + 6*k - 10*k. Determine w(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4527.979032225 - -0.020067775. Let y = i - 4513. Let f = -15 + y. Round f to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 5. Let x = 13 + -8. Calculate u(x).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/2 of a meter?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 475768*o**3*s**3*t**3 + 3*o**3*s**3*t - 10*o**3*s - o*s**2*t**2 + 56324*o*t**3 wrt s.\nAnswer: 2854608*o**3*t**3 + 18*o**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 2*p**2 - 4*p + 1. Let h be n(4). Let s = h - 18. Is s*-1*(7 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-854)\/(-1708)*3*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 277984?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2491363415 + 56.2.\nAnswer: 2491363471.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -90370a - 1?\nAnswer: -903710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 21*x**2 + 20*x + 50. Let d be h(-4). Calculate the highest common factor of 54 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-41)\/164 + 0 + (-2837)\/12)*-27?\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/5, 0.1, 50, -29, 2\/3, 2, -78\/47?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1)*i)\/i)**(7\/2))**(-35)\/(((i*i**(-6))\/i)\/((i\/(i\/i**(1\/8)))\/i)*(i\/i**1)**(-38)) assuming i is positive.\nAnswer: i**(1021\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -48 - (1 - (3 + -2)). Let t = 383\/8 + s. Let q = 20035 - 20035.1. What is the nearest to q in t, -0.4, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 3*t - 3. Let u(s) = -9*s**2 + 762*s - 8718. Calculate the remainder when u(71) is divided by b(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53 + 5395*j**4 + 35 - 78 - 5430*j**4 wrt j?\nAnswer: -140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6198645 millilitres?\nAnswer: 0.0006198645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -923672, -923677, -923672, -923651, -923608, -923537, -923432, -923287?\n\"Answer: v**3 - v**2 - 9*v - 923663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -849 - -843.06. What is z rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43495, -43584, -43673, -43762, -43851?\nAnswer: -43940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -372555 * -419.\nAnswer: 156100545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + sqrt(68) + -1*(0 + sqrt(17)) + sqrt(1377)*1.\nAnswer: 2 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/406070 and 95\/1705494.\nAnswer: 8527470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11345 is divided by 363?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2149 is divided by 199.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 403 - 410 - (-1 + -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*g + 40*g + 252*g.\nAnswer: 323*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*a + 1214 - 245 = -242*a for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 146210098?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 14 + 0*k**3 + 0*k + 1\/24*k**4 - 5\/2*k**2. Let q(c) be the second derivative of s(c). Let t(l) = -7*l - 3. Give t(q(v)).\nAnswer: -7*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15660633 from 0.163.\nAnswer: -15660632.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -193, -314, -437, -562, -689?\n\"Answer: -m**2 - 118*m - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 12*i = 23 + 21, -228 + 181 = 3*f - i for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 181426 to the power of 1\/2, to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*n - i = 127*n + 12, 211*n + 5*i + 20 = 213*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/8)\/(13531\/(-168)). Let r = w + 229991\/11598. Calculate the common denominator of -9\/20 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -6. Suppose 3*q - 19 = 5*u, -3*q - 2*q = -x*u - 10. Is 12 a factor of -4 + 3 - q - -35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - 1 + 1)*(10*l - 7*l + l) + 2*l**4 + 3*l**3 - 3*l**3.\nAnswer: 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1761*g - 7031. Calculate a(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k - 12. Let d = 18 - 8. Let n = -12 + d. Let r(i) = i + 3. What is n*g(v) - 9*r(v)?\nAnswer: v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*(-1*sqrt(156) + ((-2*sqrt(624) - sqrt(624) - sqrt(624) - sqrt(624)) + sqrt(624) - sqrt(624)))\/(sqrt(27) + -1*sqrt(3267)) + 2.\nAnswer: -3 + 11*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2145 = 141*x + 595 + 3207 + 11879 for x.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + -3 + (-308)\/(-14). Solve p - 28 = -7*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 + -2 + (-284)\/40 and -10\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppprppp. Give prob of sequence pppp.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17987403*h*z**2 + 146545786*h*z + 6*z**2 wrt z.\nAnswer: 35974806*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*n - 12*n**4 + 89*n + (-n**3 + 2*n**3 - 3*n**3)*(0 + 3*n + 0) + 2*n**4 + 0*n + 0*n in the form d*n**2 + m*n**3 + t + o*n + y*n**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7277*a. Let f be l(-1). Let b = 58145\/8 + f. Calculate the common denominator of b and 17\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 4*g - 188. Let l be u(-12). Solve -9\/2*c**l - 3\/2*c**5 + 0*c - 9\/2*c**3 + 0 - 3\/2*c**2 = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-21)\/(-6) + -3 - (-2977)\/10738*-2 and -99\/40?\nAnswer: 16520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9372\/429 - -21 - (-10)\/65\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2855 and 794115395.\nAnswer: 2855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + -11110010001110010101?\nAnswer: -11110010001110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7 and 99282849.\nAnswer: 99282856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1170?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - (-2)\/(-1))*12\/(-60). Sort a, 0.04, -1 in ascending order.\nAnswer: -1, 0.04, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 12:51 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/10 + 0 + (-3)\/(-5). Suppose -3*u + 9 = -c. Suppose 2*q - 139 = 4*x + 39, -2*q + 175 = -u*x. List the prime factors of q.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/34)\/(2\/(44\/(-33)))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -30*c + 269. Give n(7).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*z + 33*z - 3 = 4*l, 0 = 5*z - 5*l - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 3:12 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*f - 29*f + 12. Let w(q) be the second derivative of 0*q**f + 0 + 0*q**3 - q**2 - 1\/15*q**6 + 0*q**5 - 3*q. Differentiate w(j) with respect to j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.2 + 1.4. Let n = 1.2 - o. Let g = n - -2.3962. Round g to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 1. Let j(z) = 4 + 9*z - 5 + 3. Let l(b) = j(b) + 4*k(b). What is the derivative of l(s) wrt s?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3384237965?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922458096 is divided by 1003.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 6*u**2 + 11*u - 132. Is k(12) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 7. Solve q*h = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + -34.7. Let x = a + -1.9. Put 4, -3, x in ascending order.\nAnswer: -3, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 46 = -30*m - 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5434141 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38903?\nAnswer: 38903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.521 - -1.521. Is 15\/2 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59850b (base 12) to base 6.\nAnswer: 50551215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + -1 + -1 + (-328 - -456) + -115.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21\/212 or 1?\nAnswer: 21\/212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 68.2+-0.6\nAnswer: 67.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -972 + 976. Put 1, -6, -7, y in decreasing order.\nAnswer: y, 1, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 99*v + 1927. Determine b(25).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -4 - (-14 - 1 - (22 - 25))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -177333\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 - -22. Let q be 1317\/u - 2\/3. Let p = -38 - q. What is the closest to 1 in p, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 24. Let a = t + -25.00019. Round a to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = 5*p - 1958. List the prime factors of p.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (315\/(-10))\/(7\/(-14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -71781.5.\nAnswer: 14356.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -l + 4*l - 5*b, -3*l = -b - 49. Let h be 3\/(7\/(10570\/l)). Let v = 469 - h. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 50, -1\/32, 0 in ascending order.\nAnswer: -4, -1\/32, 0, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 1771561*b**4\/4 - 256144295*b**3\/4 - 576712257*b**2\/2 - 427013189*b - 210080762 = 0.\nAnswer: -178\/121, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvvvvvgnnvvngngnnvvv. Give prob of sequence vnnv.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 6. Let s be ((-68)\/51)\/((-8)\/(-108)) + 24. Which is the third biggest value? (a) w (b) -1 (c) s (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12133979 to the power of 1\/3, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3126770.\nAnswer: 2, 5, 312677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -115139, -115118, -115095, -115070, -115043?\n\"Answer: z**2 + 18*z - 115158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -35 (b) -177 (c) -1032.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**5\/5 - 4*f**3\/3 - 432. Factor b(l).\nAnswer: l**2*(l - 2)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(180)\/sqrt(6) - sqrt(30)) - sqrt(30))\/(((sqrt(180)\/sqrt(5))\/sqrt(6) - sqrt(6)) + sqrt(6)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 3*x. Let c be h(2). Find the common denominator of 11*c*(-32)\/(-120) and (-8)\/10*(-20)\/(-132).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15171139*27\nAnswer: 409620753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*m = -98*m. Let h(s) be the second derivative of 1\/3*s**4 + s + 2\/5*s**6 + 1\/21*s**7 - 8*s**2 + 11\/10*s**5 + m - 4*s**3. Factor h(p).\nAnswer: 2*(p - 1)*(p + 1)*(p + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104*m - 31 + 20 - 60 - 102*m to b*m + v and give v.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 555 + -850. Let l = 295.000474 + s. What is l rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 20 = 4*s, -5*y + 37*s - 20 = 39*s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 35*m**2 - 30*m + 13. Calculate s(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001 + 11?\nAnswer: -1001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 90300 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -86, -4, 107, -2, 2 in ascending order.\nAnswer: -86, -4, -3, -2, 2, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 948 or 947?\nAnswer: 948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 44.84006km?\nAnswer: 44840060000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-425)\/(-100) + 15\/(-12). Sort 51, -5, -1, p in ascending order.\nAnswer: -5, -1, p, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 - 14*s + 5. Let p be l(7). Let w be (3 - (-1 + 2))*p. Suppose -4*n = -o - w, -2*n - o = -8 - 0. Solve 7*h - 4*h - n = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13301 + 212222310?\nAnswer: 212203003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 - 3*v**2 + v. Suppose k = -4*z + 8727, 3*k + 3041 = 2*z + 29278. Let h(t) = -8742*t**3 + t**2 - 2*t + k*t**3 + 2*t. Calculate -h(q) - s(q).\nAnswer: q**3 + 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*s + 4. Let u be s*(-1 - 14\/(-10)). Which is bigger: u or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 5) to base 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-36) + (130\/18 - 3). Suppose m + 5*z = 3*z + 106, 4*m + c*z = 436. Let g = 138 - m. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-8 + 10)\/((-2)\/56). Suppose -w - 3*x + 60 = 2*w, 2*w - 3*x = c. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6228\/(-12))\/((-13)\/(-2)) + (-1392)\/(-754) + -2.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (347\/1735)\/((-4)\/(-30)*69).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5776435 + 2?\nAnswer: -5776433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -636*z + 15560 = -46*z - 15120 for z.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -1038?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1178026\/9 or 130891?\nAnswer: 1178026\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/((-297)\/897) - (-4)\/(-22). What is the greatest common factor of z and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 57\/452? (a) -3 (b) 0.04 (c) -0.09 (d) 2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 11.5, -413.5, 0.07, 14 in decreasing order.\nAnswer: 14, 11.5, 0.07, -413.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/137?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkurekrqi. Give prob of sequence ikkr.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*o - i - 25, 2*o + i + 9 = 0. Let p be (-6 - -2 - o)*1. Let w be p\/7 - (-2)\/(-7). Which is the smallest value? (a) 1 (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29439 + 7?\nAnswer: -29432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13856 divided by 1559?\nAnswer: -13856\/1559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*j**2 + 224563*j + 25133555 wrt j.\nAnswer: -10*j + 224563","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -87, -200, -327, -474, -647, -852?\n\"Answer: -s**3 - s**2 - 103*s + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10415149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/72*3)\/((-78)\/36)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 8:54 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4*(0\/(-5) + -4). Let v(m) = 27*m - 4 + 4*m**y - 23*m + 0 - 4*m**3. Let w(r) = -4*r**3 + 3*r**2 + 3*r - 3. Determine 3*v(g) - 4*w(g).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-21)\/(-56) - (-24170)\/144. Let b = m - 168. What is the biggest value in b, -0.4, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 233826 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10616 divided by 4\nAnswer: 2654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 1:57 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**2\/((l**(-3\/4)*l)\/l*l) assuming l is positive.\nAnswer: l**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 172\/21500*-75 - (-546)\/10?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 0 + (0 - -6) - 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8*6)\/(3330\/1776)*10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1915 + 16*w - 2*w**4 - 7*w + 6*w**2 - 1892 - 11*w as d*w**4 + u*w + r + i*w**3 + p*w**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 + (-83 - -40) + 52?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -13*j - 5. Let i be (-2)\/10 + 7\/((-70)\/(-62)). Let u(x) = 12*x + 4. Calculate i*u(h) + 5*m(h).\nAnswer: 7*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 0*o**3 + 0 + 0*o**4 + 0*o**2 - 2\/45*o**6 - 1\/30*o**5 + 1\/21*o**7 + 2*o. Factor l(d).\nAnswer: 2*d**3*(d - 1)*(3*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 1 (c) -8\/13 (d) -1\/148 (e) 186 (f) 1\/6 (g) -0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7840916 by -4.\nAnswer: -1960229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 - 7*d + 3. Let i(t) = -6*t**2 + 46*t - 7 - 6*t - 26*t. What is -3*i(s) - 7*v(s)?\nAnswer: -3*s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + 1*5*((2*sqrt(1100)*-2 - sqrt(1100)) + -4).\nAnswer: -250*sqrt(11) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/(-104) + 114\/(-16). Let h(m) = -5*m**2 - 30*m + 26. Let z(v) = -v**2 - 6*v + 5. Let a(w) = -2*h(w) + 11*z(w). Give a(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-189)*(-399)\/(-912)*72?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1347524 is divided by 62?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16909952 times 0.5?\nAnswer: 8454976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqn when three letters picked without replacement from nqnnnnnnnnnn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44840306 and 4.\nAnswer: 89680612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, l: 2, k: 3}. Give prob of sequence xx.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**6\/60 + b**5\/5 + 7*b**4\/12 - 11*b**3\/6 + 1091*b**2 - b. Calculate d(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12420 + -4?\nAnswer: 12412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**5\/5 - 219*v**4\/5 - 2787*v**3\/5 + 3439*v**2\/5 + 6006*v\/5 = 0.\nAnswer: -13, -1, 0, 2, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -11. Suppose 5*c - s = 4*c. Let w be (c + 0\/1)\/4. What is the third smallest value in 2\/3, 1\/4, w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-798)\/18 - (-2)\/6 - 4. Let v = i - -50. Solve 0 = -2*f + 3*l - 14, v*f + l = -f - 10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 107, 125, 119 in descending order.\nAnswer: 125, 119, 107, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 5946.\nAnswer: 1\/5946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1530 = 6*z + 9*z. Let c = z - 12. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6585?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 5*g**8\/336 - g**4\/24 - g**2\/2 - 11. Let f(v) be the second derivative of w(v). Find the second derivative of f(p) wrt p.\nAnswer: 100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170494611 is divided by 4001.\nAnswer: 3999","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -828102, -828103, -828104, -828105, -828106?\n\"Answer: -u - 828101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31\/100 + -3\/50. Let b(l) = -l**2 - 4*l. Let p be b(-4). Let g be -1 + p - 6\/(-6). Do g and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-200 + 6*j**2 + 200 + (-j + 0 + 0)*(-3 + 3 - 2*j))*(-j**3 - 3*j**2 - 4*j**3 + 2*j**2).\nAnswer: -40*j**5 - 8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 6*s**2 - 6*s - 10. What is r(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51 - 452546?\nAnswer: -452495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13936*l**3*q - l**3 + 6*l**2*q + 2*l**2 + 8*l*q + 3*l + q - 12 wrt l?\nAnswer: -83616*l*q - 6*l + 12*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*r + 65*r + 511. Let s = r + 77. Calculate the remainder when 24 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1408, -2827, -4308, -5851, -7456?\nAnswer: -9123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 58*l + 1. Is v(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 84.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {r: 1, u: 2, q: 2, g: 1, s: 1, z: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12243.53 - 12133. Let w = 107.54 - -1.46. Let g = n - w. Round g to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 16554*q**3 - 7*q**2 - 3*q + 14. Let v be g(3). Round v to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -1 - (6 - 5 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 20*n + 1. Let w be l(-12). Suppose 0*p - 3*p = 156. Let y = p - w. What is the remainder when y is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 107*f**2 - 113*f - 116. Let l be n(-1). Solve -l = 9*b - 59 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208, -265, -516, -1057, -1984, -3393, -5380, -8041?\nAnswer: -11472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 134 in -0.1, -1\/2, 0.4, -7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5 + (-2)\/5. Let k be 9\/6 - (-50)\/4. Let b(u) = -7*u + 103. Let m be b(k). Solve 6*g - g + m = 2*n, r = 2*n + g + 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11383505 by -11383505.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 6*c**2 + 9*c + 9. What is the units digit of y(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1\/5 (b) -33 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 13*q**3 - q**2 - q + 2. Let o be s(-2). Let j be o\/266 + 2\/7. Let f = -31 + 31. What is the nearest to f in -0.3, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (80\/(-25))\/(1\/(-5)*2). Suppose 16 = o*g - 0*g. Suppose 2*r + g*x + 2*x = 166, -3*r + 263 = -x. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/2 of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-14) - (-6)\/(-21). Let v = 0.0445 - 0.1445. Which is the fourth biggest value? (a) 12 (b) 5 (c) h (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -6. Let u = -36.2 - -35.8. Let r = 4.4 + -0.4. Sort u, j, r, 3\/5.\nAnswer: u, 3\/5, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 5:01 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -432726591 * -5.\nAnswer: 2163632955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1139 and 6.\nAnswer: 6834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, d: 15}. Give prob of sequence dz.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -358*m - 1 - 2 + 371*m.\nAnswer: 13*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 12:30 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 43629567539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**9\/37800 - o**7\/2100 + o**6\/900 - o**4 + 15*o. Let q(z) be the third derivative of b(z). Factor q(n).\nAnswer: 2*n*(n - 1)**2*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.3, 0.4, -2, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(95)\/sqrt(5)*-6 - sqrt(1539)*-2))**2.\nAnswer: -48*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3032218.\nAnswer: 2, 7, 30941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1430 + 1435.99. Let b = -31.69 + s. What is b rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -656897*k**6 + 7*k**2 - 56592*k - 2?\nAnswer: -78827640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (42416\/308)\/(4\/28) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 20, -41 - 279 = -5*l + 3*u. Calculate the remainder when 1592 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 30113651?\nAnswer: 30113655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + y - 7 = 2*y, 2*h - 5*y = 14. Let p be 2\/h + 92913876\/28. Suppose -281647 = 5*z + p. What is z rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 52253, 55762, 61609, 69794, 80317, 93178?\n\"Answer: 1169*q**2 + 2*q + 51082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (15 - (-8 + 8 - -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 306\/90 + (-32)\/55 + 4\/22. Let n(i) = i**2 - i + 3. Let t be n(3). Solve 0 = -2*g + q + 6, -t = -2*g - g + l*q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 4*v + 1. Let w be z(-3). Suppose w*d = 4 - 0. Let k(q) = q**2 + 3*q + 2. What is the least common multiple of d and k(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j. Let l(z) = 10*z**2 + 6233*z. What is l(d(g))?\nAnswer: 90*g**2 + 18699*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**2\/4 + 369305*d\/4 = 0.\nAnswer: 0, 369305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 832324, 832327, 832332, 832339?\nAnswer: 832348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -25*l**2\/2 - 76*l + 3. Let i be d(-3). Which is bigger: -2\/65 or i?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a kilogram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.3, 14 in descending order.\nAnswer: 14, 7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 123*p**3 + 4*p**2 - 4*p + 1. Let w be k(1). Suppose -9*v - 3*r = -10*v + 190, -2*v = 5*r - 325. Let l = v - w. What are the prime factors of l?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q + 66 = 3*m + 33*q, -3*m - 8*q - 3*q + 210 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjeeej. What is prob of picking 2 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (5*(sqrt(539) + -5*-1*sqrt(539) + sqrt(539) + (sqrt(539) + 1)*-3) - ((sqrt(539) - (sqrt(539) - (sqrt(539) + 0 + sqrt(539))))*1 + 4 + 2)))**2.\nAnswer: -4032*sqrt(11) + 174892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65.8 - -79. Let y = 12.9 - p. Sort -0.01, -5\/3, 1, y in decreasing order.\nAnswer: 1, -0.01, y, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -223*f + 2274. What is the lowest common multiple of g(9) and 540?\nAnswer: 48060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 23 = 8*u - 7, -3*u = 4*j - 17. Let c(m) = 35*m - 28. Let b(r) = -4*r + 3. Calculate u*c(f) + 28*b(f).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/4 and 13\/21884.\nAnswer: 21884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*z + z + 66, 0 = -z - 3*d - 36. Let g = -22 - z. Solve -g = 2*u + 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/7*f**3 + 12\/7*f**2 - 29\/7*f + 18\/7 = 0. Calculate f.\nAnswer: 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1508?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = 7*y + m + 110 - 197, 4*m - 21 = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 2*d - 67, 4669*x - 82 = 4663*x - 4*d for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/7 + 3735*z\/7 + 7474\/7.\nAnswer: -(z - 3737)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 217742140 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/14*(-2 + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1466 to 3 dps.\nAnswer: 0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-6))\/(3\/(27\/6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 40*h + 52. Calculate b(-4).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1197.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 5\/2*j**6 + 0*j**2 + 0*j**4 + 0*j**5 - 3*j**3 + 3 + 0*j. Find the third derivative of c(p) wrt p.\nAnswer: 900*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204 = -14*h - 20*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 62\/11495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 4*p - 5. Let r be o(5). Let d(z) = -z**2 + 6*z**2 + r*z**2 - 4*z**2. Let g(n) = -2*n. Determine g(d(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*v + 8 + 52, 5*v - 3*t = -38. Let f = -6 - v. Let u(j) = -j**2 + 4*j + 3. What is u(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2667 or -3643?\nAnswer: -3643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*l - m, 1680*m = -4*l + 1685*m - 15. Solve l = 4*z - 13*z - 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 94, 14, -20 in descending order.\nAnswer: 94, 14, -20, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r + 4. Let d be h(-4). Let l be (-3)\/4*d\/(-1). Let w = l + -8. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 3 - 3)*(0*v**3 - 5*v**3 + 2*v**3)*(1 - 5 + 2).\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 14 + 4 + 2 + -3 + 0.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*p + 2*h + 16, 3*p - 4*h = 2. Let i be p\/(-9) + (-222)\/(-216) - 2. What is the second smallest value in 2\/9, 0.06, i?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 3, -2\/13, -5, 8583?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m - 18. Suppose -p + 1622 = 5*v, 3*v - m = -0*v. Find the first derivative of 1607*z - 6*z**4 - 8 - p*z wrt z.\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*o - 13*o + 4*o - 9*o**2 - 4*o**2 + 3*o**2 + 0*o**2 + (-2*o + 2*o - 2*o)*(3*o - o + 0*o) - 1 - 2*o**2 + 1.\nAnswer: -16*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -499 and -1.9.\nAnswer: 948.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -378*d**4 + 2*d**3 + 2*d - 511. Let u(r) = -1508*r**4 + 9*r**3 + 9*r - 2043. Let a(x) = -9*q(x) + 2*u(x). Differentiate a(m) with respect to m.\nAnswer: 1544*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42987, -42981, -42987, -43011, -43059?\nAnswer: -43137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 3561781425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4320)\/24*(1\/3 - -1). Let w = -15 - i. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(2736) + sqrt(2736)*-1 + sqrt(2736) + sqrt(2736)))**2 + 5)*2.\nAnswer: 197002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-24)*4\/(-12)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1455 = -3*y + 1461, -5*y + 7 = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -340\/3 - -114. Suppose -2*z + 12 = 2*z. Which is the closest to 1? (a) -3 (b) z (c) -0.2 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4477312 a multiple of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*s + 19*s**3 - s**4 - 2*s**2 - 7*s - 16*s**3.\nAnswer: -s**2*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 0.5, 1\/264, -1\/16, -4, 0.16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100111 + -100001?\nAnswer: -11001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3267184 to the nearest 100000.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 13*f**2 + 3*f + 13. Let u = 132 - 127. Let s(r) = 1 + 0 - 3*r - u + 2*r - 4*r**2. What is 2*b(t) + 7*s(t)?\nAnswer: -2*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 s when three letters picked without replacement from sskkpkkkkttpskk.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10161677 divided by 5\nAnswer: -10161677\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -821.52 + 821.14493. What is m rounded to 2 dps?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -2 + 7, 241*y + 4*p + 0*p - 7397 = 2700*y - 0*p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 511*b**2 + 3*b + 3. Let x(s) = -700582*s**2 - 4112*s - 4112. What is -3*x(q) - 4112*y(q)?\nAnswer: 514*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/(sqrt(9)\/sqrt(3)))\/sqrt(4))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - d = d + 26, d + 43 = 4*t. Suppose 0 = l + 2*l - t. Does 3 divide 20\/((-25)\/(-5)) + l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2683 - -2682.998793. Round p to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -6859289.\nAnswer: -4\/6859289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -39*y + 42*y + 5*s, 0 = 3*y + 3*s + 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - c - 2 = 0, 0*c + 3*c = 5*s + 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180305 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 11:07 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9646, 11274, 12902, 14530, 16158, 17786?\nAnswer: 19414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -1860 - -24155\/13. Which is smaller: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 - 53*k - 330. Let h be a(-6). Let q be 1\/(3\/210) - -2. Let z be ((-2)\/4)\/((-3)\/q). Calculate the greatest common factor of h and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/2)\/(3\/(-120)). Suppose -4*v = -4*d + 2*d + b, -4*d - v = -244. Is (1 - (-2)\/(-4))*d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**8\/42 + x**5\/10 + 3*x**2\/2 - 2*x. Let g(t) be the first derivative of i(t). What is the third derivative of g(v) wrt v?\nAnswer: 480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4851 and 0.561.\nAnswer: 4851.561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-96)\/72*(-5274)\/(-4). Let s = x - -2580. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r**2. Let u(c) = 3*c**2 + 4. Let o(v) = 0*v**2 - 1 + 57*v - v**2 - 57*v. Let q(z) = -4*o(z) - u(z). Give q(l(m)).\nAnswer: 25*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 9*p - 3*k - 25 = -9*p - 8*k, -36658*p - 5 = -36660*p - k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77396*n**3 + 2*n**2 + 2*n - 10637 wrt n.\nAnswer: -464376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 542 + -6?\nAnswer: 53a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41925 is divided by 6986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14210785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -505, 0, -2, -5, -22 in increasing order.\nAnswer: -505, -22, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425093 is divided by 447.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/1 - (-1 - -1). Let q = f + 38. Calculate the remainder when q is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-54))\/((-204)\/(-1224)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16448871 by -225327.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 - (-2 + 0) - (72 + -85). Differentiate 194*v - 14 - 184 + r wrt v.\nAnswer: 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237068343.\nAnswer: 3, 8780309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5242574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 7*y**2 + 1. Let q be b(6). What is the units digit of (-234)\/(-14) + (-10)\/q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1271 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 218 + -217.999899. Round v to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 341.889 to the nearest 10.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -616*q - 599 + 4580 = -2179 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 210\/(-63)*(816\/15)\/(-4)*(-244)\/488?\nAnswer: -68\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/2)\/(1\/(-6))*35\/105.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/2)\/(d**(1\/9)*d))\/(d**(-4))**49)**(-2) assuming d is positive.\nAnswer: d**(-3535\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 1 (c) -377\/3 (d) -1\/48 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15327031, 30654059, 45981087?\nAnswer: 61308115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*l - 136 - 270 = 396*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 k when three letters picked without replacement from {k: 3, j: 15}.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -51210067\/25 and -2048404 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35255436\/277 or 127275?\nAnswer: 35255436\/277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 41, 37, 33, 29, 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 417\/7*z**4 - 54\/7*z**5 + 288*z**3 - 660*z - 15399\/7*z**2 + 252 = 0.\nAnswer: -6, -1\/2, 2\/9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8972)\/(-56075))\/(((-16)\/30)\/4))\/(55\/250).\nAnswer: -60\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -353*d - 1405*d**2 + 353*d + (-4 - 1 + 2)*(-2*d**2 - 3*d**2 + 4*d**2) in the form t + s*d**2 + g*d and give s.\nAnswer: -1402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 64\/3 of a minute?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8190 = -8*d - 3150. Suppose 5*h + 4*h - d = 0. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Solve -p*g + 19 = 3*b, b + b - g - 8 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -253, -257, -273, -307, -365, -453, -577?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3001 - -1041177?\nAnswer: 1036176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178717*u + 178714*u - 536144*u + 178710*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512140?\nAnswer: 2, 5, 29, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0.4, -0.5, -0.4 in decreasing order.\nAnswer: 8, 0.4, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aprrprappapap. Give prob of picking 1 a and 2 p.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -144*l**2 - 3310*l + 46 = 0. What is l?\nAnswer: -23, 1\/72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1571.8 - -1733. Let t = v + -154. What is t rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-9)*(-162)\/4. Which is bigger: d or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 678 + -608. Suppose -y*p + 21 = -69*p. What is the remainder when 38 is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**3 - 9*z - 5686*z**2 + 5686*z**2.\nAnswer: -3*z**3 - 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 5)*(8 - 1 - 3 + 2 - 5 + 4 + 1 + 3 - 5 + 0 + 1 + 1 - 1 + 4 - 4 + (-1 + 0 + 2)*(4 + 1 - 3) - 12 - 35 + 0)*(-3*y**3 + 3*y**3 - 2*y**5).\nAnswer: -240*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -37, -56, -77, -100?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {f: 1, g: 3, p: 1, i: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-216)\/(-36))\/((-6)\/(-23)*(-2)\/4)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1268 - 1268 - 63*y + y + 0*y + 3*y - 4*y + y + 4*y + (1 - 4 + 1)*(0*y + 2*y - 3*y) + 1 - 1 + y + 0*y + 2*y - 3*y to l*y + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76040051?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*i - 2*i, 5*i = -y + 712. Let j = y - -45. List the prime factors of j.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r - 6*r + 4*r - 2*r in the form h*r + w and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22012100 + 120?\nAnswer: -22011210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 3*j = -24, -4*y + 938*j = 934*j - 20 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 4\/5*y**5 - 4*y**3 - 11\/2*y**2 - 8 - 2*y + 1\/4*y**4. Factor s(a).\nAnswer: (a - 2)*(a + 1)**2*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(-5*(sqrt(7) - (sqrt(7) + (sqrt(7) - sqrt(7)*2)))))\/(sqrt(36)*1*2).\nAnswer: -sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 20.6. Let o = f - -0.5. What is the second smallest value in o, 4\/9, -3\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v*v*v*(v**(-5\/2)\/v)\/v)\/v)\/(v**4*v))\/(v**(2\/3))**(-38))\/(v**(-2\/15)*v**7)**(-4\/7) assuming v is positive.\nAnswer: v**(1593\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17805774 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2222100 (base 3) to base 14\nAnswer: b0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 40 and -29883246.\nAnswer: -29883206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 6:53 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -67, -233, -559, -1099?\nAnswer: -1907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -386, -402, -444, -524, -654, -846, -1112, -1464?\n\"Answer: -2*k**3 - k**2 + k - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 0*p - p**3 + 9*p**2 + p**2 + p + 12. What is the tens digit of s(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210.78*78.\nAnswer: -16440.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 380.4 - 387. Let g = d + 11.6. What is the closest to -1\/6 in g, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24455260 (base 8) to base 15.\nAnswer: -719263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23326 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 1. Let n be (1 + r)\/(-1*(-25)\/10). Let d(a) = -a**2 - 5*a + 17. Let x be d(-7). Which is greater: n or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 208, 734, 1618, 2866, 4484?\n\"Answer: r**3 + 173*r**2 + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19008 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 5:58 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*o**5 - 56*o**5 - 11*o**5 + (o + o**2 - o)*(-2 - 2*o**3 + 2) + 0*o**5 - 4*o**5 + 2*o**5.\nAnswer: -88*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 12 = 2*z, -2*z - 2*q = -0*q - 4. Let c be 2\/z - -5*(-7)\/70. Solve 2*l + 2 = g - c, g + l = -1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-8)*68*((-9)\/(-3) + -43). What is the highest common factor of p and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230914961478 - -53.\nAnswer: -230914961425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311153652?\nAnswer: 2, 3, 17, 19, 26759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 505 + -500. Solve m + 4*u = 15, l*u - 3*u - 11 = 3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25.59 - 25.58779365. Round b to four decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n + 23 = -47*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((14\/(-10))\/((-165)\/275))\/(784\/(-96))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*k**5 + 13157468*k**4 - 170776114*k wrt k.\nAnswer: 80*k**3 + 157889616*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 + -39. Let b(n) = -50*n - 9 + p*n - 19*n - 5. Is b(-3) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 180 + 91. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86348 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5395 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/3)\/m**(-7\/6) assuming m is positive.\nAnswer: m**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 3. Solve -n*h + 24 + 6 = 5*r, h + 2*r = 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 1\/2*0\/(-60)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 418827603?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1716 and 3237?\nAnswer: 142428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + w**2 + w - 1. Let d be u(1). Let s = 79 - 157\/2. Let z = -6 - -5.5. Put d, z, s in descending order.\nAnswer: s, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.04 + -0.04. Let c be (2\/(-5))\/(1\/5). What is the closest to c in m, 3\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*10\/(-15) + -2. What is the third biggest value in -0.5, -2, y, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((5 - 6) + 2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 6*k - k)*(2*k + 0*k + 3*k)*(10 - 3 + 0)*(-k**2 + 2*k**2 - 3*k**2).\nAnswer: -280*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2119*-1.78.\nAnswer: -0.377182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8b (base 16) to base 2\nAnswer: -10001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - (21 - -24 - 25)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 - 4 + 6 - 3*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**3 - 43*b**2 + 42*b + 1. Let g be f(1). Solve 3*z = 3*t + 12, g*z = -2*t - 3*z - 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 13. What is the third derivative of 4*c**6 + 2*c**2 - c**m + c**6 + 2*c**2 wrt c?\nAnswer: 480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/7)*t*t*t)\/(t*(t\/t**(2\/15))\/t*t)*t*t**(-1\/12)*t**2 assuming t is positive.\nAnswer: t**(547\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*d - 5*d + 3*d)*(-60 + 60 - d) - 3*d**2 - 2*d**2 + 2*d**2 to f*d + q*d**2 + w and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27332552 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 1712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*f = 875, 2*f - 335 + 42 = -n. Let b = -187 + n. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 302 + -189?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 307, 306, 305, 304, 303?\n\"Answer: -b + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.5 + -11. Let m = 6.6 - 7. Let k = -0.2 + 0.1. What is the closest to 1 in m, k, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11431 is divided by 90.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 - 24*g - 12. Let s be i(13). Suppose -1616 = -s*t - 2*t. What are the prime factors of t?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**5\/5 - 21*i**4\/4 - i**2 + 54*i - 52. Find the second derivative of g(b) wrt b.\nAnswer: -12*b**2 - 126*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7447 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11aa + 5?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**5 + h**4 + h**3 + h - 1. Let f(s) = -5*s**5 + s**4 + 25*s**3 - 39*s**2 - 26*s + 38. Let k(m) = -f(m) - 2*r(m). Find v such that k(v) = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000058047982 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 12*o**2 + 11*o + 13. Give k(-13).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-22))\/(w\/(w\/(w**(-27)*w)*w)))**3)**(-9\/5) assuming w is positive.\nAnswer: w**(-270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1898162095 and 0.4?\nAnswer: 1898162094.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(160))**2 + sqrt(18) + sqrt(72)\/sqrt(4) + 5 + (sqrt(36)\/sqrt(2) - sqrt(2))**2.\nAnswer: 6*sqrt(2) + 105\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 664237 times -0.22\nAnswer: -146132.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 13, 1200, 2 in decreasing order.\nAnswer: 1200, 13, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1188, 1199, 1224, 1269, 1340, 1443, 1584, 1769?\n\"Answer: r**3 + r**2 + r + 1185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1019 divided by -12959?\nAnswer: 1019\/12959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 8. Suppose -4 + 12 = w*q. Solve -5*d - 20 = 4*u - 3*u, -q*d = 2*u + 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n**3 - 1. What is q(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 6. Calculate s(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.04015 + -3.21915. Let s = r - -3.32. What is s rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 6 + (0 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 + a - 1. Let k(d) = d**2 - 105*d - 1. Determine -2*k(h) + 2*r(h).\nAnswer: 2*h**2 + 212*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1216, 1227, 1238?\n\"Answer: 11*t + 1205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -u + 59. Let q(m) = -m**2 + 2*m - 2. Let i be q(3). Sort u, i, 0 in ascending order.\nAnswer: i, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4356) + (2*sqrt(4356) - sqrt(4356) - sqrt(4356)))\/((sqrt(192)\/sqrt(4))\/sqrt(4)).\nAnswer: 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -21, 2\/3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64 by -960.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2155*c**2 - 5*c**4 + 3*c - 2150*c**2 - 2 + 2*c**3 - c**3 in the form f*c**4 + s*c**3 + q*c + w*c**2 + m and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 7:34 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15995.91 millennia in years?\nAnswer: 15995910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234001 (base 5) to base 7.\nAnswer: 34102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 536, 1782, 4218, 8240, 14244, 22626, 33782?\nAnswer: 48108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 609*b - 4852. What is o(8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 389\/3 at most 130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33537 is divided by 258?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2454 (base 6) to base 3\nAnswer: -211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1876, 6, 8 in increasing order.\nAnswer: 6, 8, 1876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**5 + 883*j**4 - 49060*j**3 + 36300*j**2 = 0. What is j?\nAnswer: 0, 3\/4, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 42*s**2 - 43*s - 85. Let f be k(-41). Let j be -9 - 60\/(-16) - f\/12. What is the biggest value in 0.4, 2\/3, j, -0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 20. Let m(x) = -x**3 - 2*x**2 + 2*x + 2. Let d be m(y). Calculate the greatest common divisor of 117 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -306, -299, -288, -273, -254?\n\"Answer: 2*m**2 + m - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**4\/24 - 5*h**3\/6 - 3*h**2. Let s be t(7). What is the second derivative of 0*y + 9*y - 2*y + 0*y**s + 4*y**2 wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*j + 59, -11 + 2 = -m + 6*j. Calculate the greatest common factor of 15519 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 2*h - 19, 0 = -k + 3*h - 2 + 1. Let y(b) = -b**2 - 4*b + 6. Let d be y(-5). What is the nearest to -1 in k, -2\/7, d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 10*p**2 - 9*p + 5. Let q be b(8). List the prime factors of q\/((-2 + -1)*(-6)\/(-12)).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3539287763 - 1542.\nAnswer: 3539286221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y**(-1)*y)\/y)\/y)\/(y**(-2\/3)\/y*y*y*y))**(7\/5))**(-7) assuming y is positive.\nAnswer: y**(98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 0, -62, -180, -372?\nAnswer: -656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57951\/242 + 4\/121. Let z = -248 + a. What is the common denominator of -37\/3 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 2)*(-114 - -1). Let r be (-12 + (-142)\/2)\/1. Let s = r + m. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 67830 = 44*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.7 + -4. Let a = -511\/1542 - 1\/514. What is the third smallest value in 0.3, g, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7087 divided by 1?\nAnswer: -7087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3421.2204 - 3417. Round n to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence heqe when four letters picked without replacement from ehehhhohq?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 610b (base 12) to base 15\nAnswer: 31b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2477)\/(-2)*(11 + 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/4 - 1200\/170.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 82.88139l?\nAnswer: 82881.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 2*l**2 + 2*l + 3. Let u be r(-2). Let j be 3*1*(11\/33 - 1). Let t be (-2)\/5 - 23\/5. Sort t, j, u in ascending order.\nAnswer: t, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 2\/11, 0, 8\/53.\nAnswer: -24, 0, 8\/53, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1498658 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56 - -14) + 7 + 1.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3972, -0.3, -129, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1714 + 4502. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/32*(-4)\/10*(-42 + (-3564)\/(-90))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 8 - (18 - (7 - -5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n + 7. Let b(p) = 3*p - 5. Let y(l) = -7*b(l) - 5*w(l). Let g(q) = 3*q. Give y(g(j)).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24045 is divided by 495.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*w**3 + 2*w - 2*w + 6 - 14*w**3 to c + t*w + p*w**2 + x*w**3 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 115886 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2589375 by 3.\nAnswer: 863125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 1)\/(2\/(-20)). Suppose 5*w + 2*t - 6*t = k, w - 4 = -4*t. Suppose 2*i = w*m + 9 + 7, 0 = 5*i + 5*m + 35. What is the nearest to 0.1 in -1\/9, 3, i?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 14) in base 9?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*q - 130, 3*c + 325 = -2*c - q. Let p = 76 + c. Calculate the remainder when 109 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o = 24*o + 3. Let x(y) = y**3 + 3*y**2 - 4*y - 10. Let t be x(o). Suppose 2*v - 5*f = 428, 201 + 687 = 4*v - t*f. Is 28 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -540, -1080, -1618, -2154, -2688, -3220?\n\"Answer: z**2 - 543*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 138479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32572 and 81430?\nAnswer: 162860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 372 + -42. What is the least common multiple of o and 330?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**2*v**2 - s**2*v - 193*s*v**2 + 19*v**2 + 15 with respect to s.\nAnswer: 2*s*v**2 - 2*s*v - 193*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1307 + -579. Suppose t = 2*y + 5*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38254 - 37446. Solve y = 86*i + 15*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 185\/2 + -94. Let i = 1158 + -1165. What is the fourth biggest value in t, i, -0.5, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**2 - 2*a**2 - 3*a**2 + (-36*a**2 - 16*a**2 + 3*a**2)*(-6 + 3 - 6).\nAnswer: 440*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -3. Let g be (r\/(-2))\/((-2)\/(-20)). Suppose g*u = 0, -c + 8*u = 3*u - 8. What is the lowest common multiple of c and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-150))\/((-55)\/1375)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + s - 5*n + 11, -5*s = -3*n - 1. What is the derivative of -5*v**2 + 3 + 3*v**s + 1 wrt v?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182697?\nAnswer: 3, 60899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 199301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 3*f**2 - 2*f**2)*(3*f**2 + 2*f**3 - 3*f**2) + 2*f**5 + f**5 - 7*f**5.\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 3*f + 1, -13*b + f + 9 = -17*b. Calculate the common denominator of 37\/33 and (b + -1)*1 - (-32890)\/12375.\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 662 - 662. Solve 5*z - 15 + 25 = o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8816735 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5196 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1055, -2109, -3163, -4217?\n\"Answer: -1054*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (14 + -5) - 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**5 - g**4 + g**4)*(356 + 410 - 577).\nAnswer: -378*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2\/5)*(l\/(l*l*l**2*l))\/l)\/((l**(-7)*l)\/(l\/l**7))*((l*l*(l\/l**(-1\/3)*l)\/l)**(-12))**(-33) assuming l is positive.\nAnswer: l**(6578\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 338*o - 337*o - 20, 0 = -6*f - 2*o - 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.196369 hours in microseconds?\nAnswer: 4306928400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 3. Let l = -8.2 - -9.2. What is the nearest to l in 1, w, -2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k - 2. Let i(t) = 85*t + 35. Determine -35*b(y) - 2*i(y).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3 - 45*a**2 + 216*a - 228 = 0. Calculate a.\nAnswer: -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13, -106, -305, -584, -943, -1382, -1901?\n\"Answer: -40*n**2 + n + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -31*k**4 + 39*k**3 + 13*k**2 + 29*k - 2716. Let m(i) = -5*i**4 + 6*i**3 + 2*i**2 + 5*i - 453. Let r(a) = 26*m(a) - 4*t(a). Differentiate r(w) wrt w.\nAnswer: -24*w**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 4*s - 6 = 0. Sort 0, s, -5.\nAnswer: -5, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -32, -30, -30, -32, -36?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.03 + -18.53. What is the nearest to -1\/3 in -4, 4, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/17 + 74*j**2\/17 - 440*j\/17 + 600\/17.\nAnswer: -2*(j - 30)*(j - 5)*(j - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 - 1)*(-3 + 3 - 2*m) + 2 - 95*m + 150*m + 38*m + (3 + 0 - 5)*(-5 + 5 - 4*m) to the form t + r*m and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 7*p + 220. Suppose -p = -2*f + 31. Suppose w = c - 46, 0 = c - 3*w + 5*w - f. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**5 - 87*c**4\/2 - 321*c**3\/2 + 57*c**2\/2 + 651*c\/2 - 147 = 0. What is c?\nAnswer: -7, -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -25. Suppose j = -2*h - h + 108. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g - 1. Calculate b(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -24. Suppose b*m - 394 = 106. Does 25 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*j - 2234 + 2234)*(2 - 4 + 4) to the form p + u*j and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7753562 years to centuries.\nAnswer: 0.007753562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 + 20*d - 1. Determine v(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2.81 + -84008\nAnswer: -84005.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1816 - 1800 = 2*u. Solve 16 = 4*n, -4*p + u = -n + 3*n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -9, -3, 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 16) in base 2?\nAnswer: -110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-54)*-3)\/((-2)\/(-12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 153 - 153. Suppose p = -15*g + 312 - 12. What is the remainder when 70 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3036*h + 27323. Calculate m(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 271474437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.473 - -0.047. Let d = 0.520053 - k. Round d to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 9 = -v. Let s be (-2)\/4*-2 - 181. Let x be -3*v + s\/(-48). Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + -1 + (sqrt(5) - 2*sqrt(5))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -159, -233, -289, -321, -323, -289, -213?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*f - 69*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - 4 - (-1)\/(-1). Suppose d + 2 = -3*y. Let a(t) = t**3 + 2*t**2 - 1. Let x be a(y). Solve 0*p - 3*o + 18 = 3*p, -p + 3*o - 6 = x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 2*a. Let y be m(3). Let r be (y\/7)\/((-3)\/2). Find the third derivative of -v**5 - 5*v**2 + v**r + 2*v**2 + 0*v**5 wrt v.\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 12) to base 11\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 35*x**2 + 35*x + 75.\nAnswer: 5*(x - 5)*(x - 3)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 3*z**8\/80 + z**7\/280 - z**6\/60 + z**3\/3 + 3*z. Let b(w) be the second derivative of s(w). Factor b(t).\nAnswer: 3*t**2*(3*t + 1)*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43 + -164023?\nAnswer: -164066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 74405 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -13*u**2\/2 + 21*u - 84. Let y = 296 - 298. Let l(r) = -3*r + 5. Determine y*m(f) + 9*l(f).\nAnswer: -f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70329997 - 70329988.3031071. Let a = l - 9.346899. Let f = 0.65 + a. What is f rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or -29.98?\nAnswer: -29.98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 2) + (-83 - -78)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 minus 16974559437?\nAnswer: -16974559447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-120) - (-73798494)\/315 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -59, 0.03?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 4 - 5*u - 8 as s + b*u and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (1 - -5))*-1. Let u be 1*-3*(m + -5). Solve u*d = g + 6*d - 12, -g - 5*d + 18 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1064 - 1503 = v. Let s = v - -439. Factor 0*q**2 + 2\/9*q**5 + s + 0*q**4 - 2\/9*q**3 + 0*q.\nAnswer: 2*q**3*(q - 1)*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 10:33 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 33, 4\/5, 6\/17 in descending order.\nAnswer: 33, 4\/5, 6\/17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (101\/1010)\/(1\/(-2)). Let v = -22\/30857 + -285241602\/709711. Let i = 402 + v. What is the third biggest value in l, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from {b: 1, n: 2, s: 1, v: 4, u: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 (base 11) in base 14?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1008708376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3 + (-16)\/6. Let q = i + 4. Solve -3*z + 5*r + 22 = 0, 4*z - 1 = q*r + 19 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*w - 10341 = -22451 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m + 8. Let d be p(3). Let u be 5 - ((-1)\/(-10) + (-49)\/d). Solve u*s + 4*x + 1 = -3*s, x + 4 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(3 + -5))\/(-1). What is the units digit of (154\/55)\/(q\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 615961\/36 + -17108. Find the common denominator of 18 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqm when three letters picked without replacement from {m: 1, d: 2, y: 7, q: 4}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 1 (c) 11 (d) 2\/3 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*v + 444 = 0, -44*v + 43*v = z - 147. What is the least common multiple of z and 252?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -2, 33\/5 in decreasing order.\nAnswer: 33\/5, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 9300?\nAnswer: 27900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66)\/sqrt(3))\/sqrt(2) - sqrt(44)*2) + 0)**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3)\/v*v\/(v**(-17)\/v) assuming v is positive.\nAnswer: v**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 - -1.09. Let z = -117 + 113. What is the nearest to -2 in 2, z, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8224897601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2031 - -1318. Let q = k + 707. Let u(s) = 4*s - 2. Let t(d) = -26*d - 2. Let l(b) = -9*b - 1. Let f(g) = -11*l(g) + 4*t(g). What is q*f(p) - 7*u(p)?\nAnswer: 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1564*p = -1627*p + 21754341. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-70))\/((-21)\/(-70)). Let v = 5\/76 - 349\/684. Which is the second biggest value? (a) 3 (b) v (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1807507*d**4 - 174*d**2 + 97*d - 2.\nAnswer: 43380168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7629*g - 8 + 8 - 5139*g to the form s*g + d and give s.\nAnswer: 2490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30189.\nAnswer: 3, 29, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2992\/13 - 230. Which is the second biggest value? (a) -0.07 (b) -0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-21)\/6 + 4)\/(3\/636). Suppose -r + 3 = -v. What are the prime factors of v?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 6*k**2 - 2*k - 8. Let d be r(-6). Suppose d*y - 46 = 42. Let p = -9 + y. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 539233469*n**3*w - 17367*n*w + 9591*w wrt n.\nAnswer: 3235400814*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 27 = -4*f - 3*s, -3*f - 2*s = -17. Let o be 9\/(-15) - f\/(-5). Find y, given that -2\/3*y**2 - 2\/3*y + o = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 + 1685 = 114*k for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f - 29. Let t(z) = 2*z - 10. Let s(r) = -6*a(r) + 17*t(r). Let q(h) = h**2 - h - 3. Let x be q(3). Suppose -x*n + 8*n = -15. Give s(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5 (b) -12\/13 (c) 7\/4 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 12:36 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1094433.2069 + -1094583. Let s = z - -150. What is s rounded to 2 dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 130094*m**2 - 29*m + 197. Let u be o(7). Round u to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -253.3 + 86626295.\nAnswer: 86626041.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22400369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**3\/3 + 233896*j**2\/3 - 27662386*j + 2449969572 = 0?\nAnswer: -117302, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3324 a factor of 19355652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.132, -0.4, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(84\/31745) + (-2)\/(-8). Suppose 5*x + 0*n + 4*n - 5638 = 0, -x = 4*n - o. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -892653374 and 3.\nAnswer: -2677960122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from urrxxruuruu.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - o + 24 = 0. Let p = 8 - o. Let b = 460.1 + -460. What is the third smallest value in p, b, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**5\/7 + 26709*v**4\/7 - 213828*v**3\/7 + 45828*v**2 = 0 for v.\nAnswer: -8911, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2266 = -2*p + 366, 2*p = 4*g - 3804. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*o - 2 = 4*j, 3 = j + 2*o. Let i be (1 + -1)\/(1 + 0). Suppose 3*l - l - 2 = i. Sort l, j, 5 in decreasing order.\nAnswer: 5, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**3 - 5205*d**2 - 20856*d - 20868 = 0.\nAnswer: -2, 1739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from {h: 5, b: 4, c: 1, t: 3}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*(-261)\/(-435).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 1, 7*u + l - 414 = 2*u. What is the remainder when u is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + i. Let o(d) = 11 - 856*d + 855*d - 10*d**2 + 4*d**2. Let p(r) = -o(r) - 3*s(r). What is the second derivative of p(k) wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (201\/(-2))\/(24906\/16604).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2010 (base 4) in base 5?\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*(192\/9)\/(-8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 191814 and 588.\nAnswer: 2685396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**5\/60 + 5*i**4\/8 - 3*i**3\/2 + i**2. Let q be n(13). Differentiate q*m**2 + 13 - 14*m**2 + 10*m**2 with respect to m.\nAnswer: 26*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-990)\/(-33))\/4200*-2.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2\/5 - 337*a\/5 - 4914\/5 = 0.\nAnswer: -14, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/2)*h**17*h**(5\/3)\/h**(-26\/5) assuming h is positive.\nAnswer: h**(701\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**3 - 5*v**2 + 4. Determine m(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5 = -n + 4, n - 1 = 3*w. Let m(t) = 35*t - 2. What is the remainder when m(w) is divided by 1\/((-16)\/17 - -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/2 and -39\/2521?\nAnswer: 5042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -28.05. Let u = 0.24 - h. What is u rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 12:02 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/36)\/(6174\/(-14112)).\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8566 and 84.\nAnswer: 359772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14163.2 - -14163.2. Let y = -3 - 0. Which is the nearest to -0.05? (a) y (b) n (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 5 + 5 - 6 - 3*m + 0 as b*m + g and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 + 45 = -2*x. Let r(z) = 10*z + 9*z + 3*z**2 - x*z. Let g(u) = -u. Calculate g(r(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/5 smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + (39 - 105) - (7 + (-2 - -4)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 23*q**7\/105 - q**6\/120 - 193*q**4\/24 - 142*q**2. What is the second derivative of m(p) wrt p?\nAnswer: 552*p**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-219)\/(-2482)*-18*(-30)\/(-405)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05937488 in -1\/4, 5, -1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 9:16 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2509352 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1203316*h + 1 - 2 + 1.\nAnswer: -1203316*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 8. Let p(t) = -t - 23. Let w be p(-16). Is 4 a factor of z(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13022382632 + 44\nAnswer: 13022382676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 1. Let z = -5 - -9. Let j(q) = q**2 + 5*q - 5. Let w(k) = z*j(k) - 20*o(k). Let u(n) = 2464*n**2 + 2465*n**2 - 4940*n**2. Give 6*u(i) + 17*w(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-15)*30\/(-4). Suppose -g*q + 10 = -q. What is the first derivative of -3 - q + 0*c**2 - 2*c**2 + 2 wrt c?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -20*o - 1161. Calculate h(-59).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -182*m**6\/15 - m**4\/12 + 287*m**3 + 4*m**2 - 33. Differentiate d(o) with respect to o.\nAnswer: -4368*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65\/308 - -11\/28. Factor -o + 4\/11*p - 2\/11*p**2.\nAnswer: -2*(p - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195161?\nAnswer: 195161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*x. Suppose -2*w + x + 4 = 0. Determine b, given that -2\/9 - 2\/9*b**w - 4\/9*b = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4224474*t**4 + 1175*t**2 + 105*t - 1?\nAnswer: -101387376*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 43*f + 158. Let c be b(-39). Suppose 3*i - 2 = -5. Sort i, c, -2, 3.\nAnswer: -2, i, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - b. Let q be p(0). Suppose 3*n + q = 12. Solve -d = n - 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3966*p + 5289. Let y be z(-4). What is y rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*v + 139 + 17 = -30*v. Let h(c) be the third derivative of 0 + 1\/60*c**5 + 1\/240*c**6 + 0*c - 1\/6*c**v - 2*c**2 - 1\/48*c**4. Factor h(u).\nAnswer: (u - 1)*(u + 1)*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 5*z - 1. Let d be p(4). Suppose d*s + q = 5*s - 2128, -5*s = -5*q - 5330. What are the prime factors of s?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2 - 3. Let v = -55497\/22 - -2522. Find the common denominator of ((-113)\/(-25))\/((-2)\/h) and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32c118 (base 15) to base 8\nAnswer: 11166633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from croxc. Give prob of picking 1 x, 1 o, and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 12, a: 2, o: 3}. Give prob of picking 1 a and 2 o.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81.87843 + -82.469. Let c = o + 0.59. What is c rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 14 + 15 = -4*u, 0 = -4*j - u + 116. Suppose -5*d - 17 = -p, 2*p = p + d + j. What is the highest common divisor of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -28 (b) -1\/6 (c) 60 (d) 0 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from {g: 3, f: 7, i: 8}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11255 + 2440?\nAnswer: -4415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 12*g**2 + 21*g - 38. Determine d(6).\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 11*f - 21. Let s be j(-12). Let h be 13\/2 + s\/18. Solve -3*t - 4 = -5*v + h, -4 = -2*v - 4*t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96.9774 + 0.0226. Let l = -109 + k. What is the fourth smallest value in 0.5, l, -2\/7, -6\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 5) + -4 + 119\/28\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/7 - 4*h**3\/7 + 8*h**2\/7 + 16*h\/7.\nAnswer: -2*h*(h - 2)*(h + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*x + 5 = -2*x, 4*z - 16 = -x. Suppose 2*m + 3*m = p - 14, p + 5*m - 24 = 0. Calculate the remainder when p is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -11*o**9\/252 - 10*o**7\/21 + 269*o**5\/15 + o**3\/6 + 238*o**2. Find the third derivative of q(g) wrt g.\nAnswer: -2640*g**3 - 2400*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 3:35 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 + -44.8. Which is the third biggest value? (a) -5 (b) n (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128 by -32.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -14*w**3 - 32*w**2 + 172*w - 157. Give j(-5).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3239*k = -2820*k + 9637 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -129, -222, -321, -426, -537, -654?\n\"Answer: -3*t**2 - 84*t - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/2*(16 - 14). Suppose 3*j - 3 = t. Let d = 5 + -5.5. What is the third smallest value in 0.3, d, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -7 (b) 2\/11 (c) -4\/5 (d) 0.5 (e) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 1736*w + 767*w + 15075*w - 22 + 28.\nAnswer: 14106*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 w when three letters picked without replacement from flflffffffefcefffww.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 8 = -2*q, 3*q - 3 = w - 2. Is 7 a factor of (-7)\/(-1)*3\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19067676 by -453.\nAnswer: -42092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 49047 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5793 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**2 + 41416*x + 41406*x - 124264*x + 41442*x.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (3\/6)\/((-2)\/(-8)). Let n be 16\/12*63118\/96 + p. Let f = n + -3485\/4. Find the common denominator of 76\/33 and f.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7258171 to the power of 1\/3, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4864.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23663 (base 7) to base 10.\nAnswer: 6170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1997, 1803, 1605, 1403?\nAnswer: 1197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 181844 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77863.54g to nanograms.\nAnswer: 77863540000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3253788 divided by -38?\nAnswer: -85626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 219, -0.3, 4407?\nAnswer: 4407","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -11*c + 5. Let v(d) = 5*d - 2. Suppose j = -4*j. Let m be j + -1 + 12\/(-1). Let l(i) = m*v(i) - 6*y(i). Determine l(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -15 - 133237*w - 207 - w**2 + 133273*w. Let g be z(8). Solve 0 = 4*y - g*m - 2, -4*y + 3*m = 5 - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -273*y + 276*y + 21 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + 6 + -10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 16. Let i(b) = -t - 2*b**2 - 4*b + 5*b**2 - 3. Let a(d) be the third derivative of -d**5\/30 + d**4\/8 + d**3\/2 + d**2. Determine 4*a(r) + 3*i(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 2*u - 221 = -238, -2*u + 21 = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -25 (b) -2\/11 (c) 6 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1887869532 divided by 6.\nAnswer: -314644922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -206 divided by -2\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2258 or -2294?\nAnswer: -2294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1605481.4484 rounded to the nearest 10?\nAnswer: -1605480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 62 = 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (0 - (-1 - 7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -45*(-47 + -2 + -1). Suppose -3*h = -6*h + w. Round h to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 232\nAnswer: -4.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 318 + 8*b**2 + 342 + b**2 + 599.\nAnswer: 9*b**2 + 1259","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/5 + 817996*i\/5 - 83639682002\/5 = 0.\nAnswer: 204499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 81296061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 19. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 - a**3 + 5*a**3)*(22*a - 2*a - 4*a).\nAnswer: 32*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 59 = -5*x, 5*x = 3*t + 65 - 2. Suppose 0 = -x*j + 25*j - 4480. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**4 - b**2 + b**2 + (2 - 1 + 1)*(-5*b**4 + 2 - 2))*(0*b + 3*b - b).\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 6*w - 4. Let q be z(-4). Let j be (-2)\/4*(0 + -4). Suppose h = -d + 41, -q*d + j*d = 10. What is the remainder when h is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -475 times -643\nAnswer: 305425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + 1*(sqrt(192)*2*4 - (-1 + sqrt(192) + 3))**2)*-4 + -4.\nAnswer: -1792*sqrt(3) + 75300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 13. What is the smallest value in 1\/2, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133688712 divided by -33422178?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 470, -45, 2, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6256\/14 - (-31)\/217 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2.9 * -19.35\nAnswer: 56.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 5593\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-660)*-25)\/(5\/(-18)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.1 + -6. Let q = 4.1 - z. Which is the third smallest value? (a) 0.5 (b) q (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 3*b = 57, 24*d + 2*b - 19 = 27*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.48 + -0.28. Let z = 195\/1012 + -1\/92. What is the biggest value in -4, r, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49.89224 litres?\nAnswer: 49892.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q**0\/q)\/q*q))**(-7))**(-1\/12) assuming q is positive.\nAnswer: q**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 736347584 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*q + 0 + 6 - 5 + 1.\nAnswer: -26*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 6:52 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 6. Let w be g(-6). Let q(r) = -2*r**3 - 7*r**3 + w - 3 + 1. Let j(d) = -5*d**3 - 1. What is 5*j(k) - 3*q(k)?\nAnswer: 2*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 9:01 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = a + 11, 1 + 4 = -3*a - n. Is 26 a factor of a\/(15\/25) + 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-3))\/((-4)\/(-36)). Let x = -23 + 10. Let z = x + 38. Solve z = -3*b - 4*n, -i*b + 4*n = -7 - 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 273 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -875*g*s**4 + 3316*g*s**3 + g*s**2 + 2*g*s - 2*s**4 - 585709*s**2 + 4*s wrt s.\nAnswer: -21000*g*s + 19896*g - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*g - 5*g - 2 + 11*g - 5*g.\nAnswer: 21*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 2\/(-2)*4. Suppose -5*f + b + 38 = 0, p*f - 5*b - 29 = 4*f. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0 = 20. Let o = t - 3. What is the third derivative of 5*c**5 - 4*c**2 + 2*c**4 - o*c**4 - 4*c**5 wrt c?\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - ((-396)\/(-11))\/(-9)) + 2. Put b, -4, -2, -21 in decreasing order.\nAnswer: b, -2, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90607843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**3 + 5*t**2 - t. Calculate the smallest common multiple of 120 and o(3).\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or -150?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -37\/6, -237, 0.2, 9?\nAnswer: -237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 56.2, 1, 2, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-140)\/(-18) + 6\/27. Suppose -g*n + 135 = -3*n. Suppose -4*o + 5*s + 192 = 0, 4*o = s + 203 - n. What are the prime factors of o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 6*y + y + (-2*y - 3*y + 2*y)*(4 - 1 - 2) - 3*y + 0 + 0)*(2*y + 0*y - 4*y).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -52?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 a when two letters picked without replacement from {a: 2, p: 1, s: 1, w: 1, z: 2, l: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*c - 147*c + 48*c - 6*c**3 + 55*c + 4 as o*c**2 + d*c**3 + h*c + z and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 409775, 819552, 1229329, 1639106?\n\"Answer: 409777*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 bigger than 126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 946249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2652 = -43*o - 8*o. What is the second biggest value in 5, -1, -2, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**4\/12 - 2*x**3\/3 + x**2 + 3*x. Let w be m(4). Let p(j) = -j + 2*j**w + 1 + 0*j**2 - 2. What is p(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/559 and -87\/26.\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -238.041 - -238. Let y = x + 0.141. Let l = 7 + -6. Which is the nearest to -0.01? (a) 5 (b) l (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2873052 by 7893.\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 4*k**2 + 2. Let t be p(-4). Suppose -3 = -0*g - g + 2*q, -t*g = q - 31. Let y = 0 + 4. Solve -y*d + d - g = -j, -9 = 2*j + d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 35*w. Let r(i) = -2*i + 38. Let c be r(18). Let f(o) = -97*o**c + 46*o**2 + 53*o**2. What is f(v(d))?\nAnswer: 2450*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*p**2 - 180*p - 33*p**5 + 38*p**5 + 135*p**3 - 5*p**4 - 55*p**4.\nAnswer: 5*p*(p - 9)*(p - 2)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 0)*(-146 - -146). Let w be 72\/27 + k\/2. Factor 1\/2 + 14\/3*g + w*g**4 + 27\/2*g**2 + 12*g**3.\nAnswer: (g + 1)*(g + 3)*(4*g + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -219 - -228. Let k(w) = 10*w - 72. Suppose c - 4 + 2 = 0. Calculate the lowest common multiple of c and k(j).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35012869 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -c + 6*c - 43, -w - 5*c = -16. Let n be (-2)\/w + 17\/(-9). Let m = -1.26 - -5.26. What is the second biggest value in -0.3, n, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38285105?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) 32 (b) 1\/418 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 11355 = -l, 2234 = -l - 2*v + 13601. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, l: 3, g: 1, f: 11, n: 2}. Give prob of sequence lcn.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, y: 12, f: 1, c: 2, l: 3}. Give prob of picking 2 c.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-56) + 2434\/7. Suppose 11*i = 8*i + q. Let z(s) = i - 116 + 2*s**2. Let a(f) = -2*f**2. Calculate z(a(c)).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1868?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**2. Let v(d) = -91*d. What is g(v(j))?\nAnswer: 41405*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -3*o**4\/8 + 13*o**3\/6 - 2*o**2 - 31. Let a(q) = -5*q + 7. Let c be 1\/(0 + 1\/7). Let v(n) = c*a(n) - 4*x(n). Determine v(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*b**2 + 24*b - 24*b)*(2*b - 4*b + 5*b) - 327 + 327 + 18*b**3.\nAnswer: 66*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**5\/20 - z**4\/2 - 4*z**3\/3 + 4*z**2 - 4*z. Determine p(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**3 + 61*i*k*v - 9*i*k - 386*k*v + 9*v wrt i.\nAnswer: -3*i**2 + 61*k*v - 9*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/100*50\/(-60)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 74060*w - 1331460.\nAnswer: -5*(w + 18)*(w + 14794)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97 + 101. Which is the nearest to 0? (a) q (b) 9 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 5, 4, -3, 64?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/5, 156 in decreasing order.\nAnswer: 156, 5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h - 31. Let b(a) = -10*a + 63. Let x(u) = 6*b(u) + 14*y(u). Let s be x(7). What is the greatest common factor of s and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*q**2 + 190 - 56*q**2 - 535 + 173 + 172.\nAnswer: -35*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3499 - 24495\/7. Suppose -5*h - j + 11 = 0, -4*h + 5*j = h - 5. Let x be -2 + 4 - 6\/h. What is the closest to x in -0.3, v, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1.9, -5079 in decreasing order.\nAnswer: 1.9, -1, -5079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.59 - -2.067. Let r = s - 0.577. Sort -0.05, -2\/3, -0.2, r in descending order.\nAnswer: -0.05, r, -0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1, 0.5, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95 + -63. Suppose -5*u - 7 = -q. Find the first derivative of 3*p**2 - u*p**2 - 5 + 3 wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88 - 96. Is 194\/c*(-11 + 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 + 13*z**2 + 24*z + 18. What is w(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11, 3, 18, 2.\nAnswer: 2, 3, 4, 11, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96 + 95.03. Let c = 37.2 + -22.03. Let z = q + c. What is z rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -27. Let b be (q\/(-6))\/(9\/30). Factor 1\/4*v**b + 5\/4*v + 5\/2*v**3 - 5\/2*v**2 - 5\/4*v**4 - 1\/4.\nAnswer: (v - 1)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 1:38 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -9, 2, -2, 74.\nAnswer: -9, -2, 2, 18, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**3 + 4*i**2 - 10*i + 7. Give s(4).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2320218?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-468)\/(-18) - (-4)\/(-2). Let z be 3\/9 - (-107)\/3. Calculate the greatest common factor of z and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4347961 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(0 + 4 - 5)*(-6 + 6 - 6*z)*(-16 - 32 + 3).\nAnswer: 270*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 71, 88, 2, -4, 0, 6 in increasing order.\nAnswer: -4, 0, 1, 2, 6, 71, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10132, -20066, -29750, -39178, -48344?\n\"Answer: j**3 + 119*j**2 - 10298*j + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116 - -115.7. Which is the second biggest value? (a) -3\/5 (b) 0.1 (c) p (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 96?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.375 and 139.52.\nAnswer: 191.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 19529847290 to the nearest 1000000.\nAnswer: 19530000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30260712 by 124.\nAnswer: -244038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2059 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-142)\/(-10) - 1\/5. Suppose 2*z + 8 = 3*y, 2*y - b = -z - y. Let c be (-2 - (-10)\/z) + -2. Sort -6, c, 4 in increasing order.\nAnswer: -6, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*v - 12 = 0, 4*w + 0*v - 8 = -2*v. Let a(i) = -i**3 + i**2 + i - 1. Let q be a(w). Suppose q = 9*l - 7*l - 1054. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -114 + 10\/(3 + 2). Round l to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -515\/3082 + 2\/4623. Let v = -0.08 + 3.08. Which is the second biggest value? (a) v (b) q (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 4. Let w(p) = 38*p - 6. Let t(y) = -38*y + 7. Let u(x) = 5*t(x) + 6*w(x). Is u(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 15 (b) -15490 (c) -1\/5 (d) -0.16 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen quarters of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3690*u + 2822*u + 8068*u - 5455*u in the form l + f*u and give f.\nAnswer: 9125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*p + 11024, -x + 7*p = 4*p + 3679. Let z = 9723 + x. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780769.\nAnswer: 11, 70979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 24*l**2 - 4*l. Give f(2).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-3 - 2 - (-16 - -13)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 1 + 109. Let i = 37 + x. Calculate the remainder when i is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7631*m - 7968*m - 10814 = -1378 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4170\/(-130) + ((-23)\/39 - 16\/(-24))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 less than -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rtmtstttrtstt.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 3913502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1143 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 560 = -c. Let x be (6\/7)\/(30\/c). Solve 6*p = x*p - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*g = 21, -2 = -5*t + 4*g + 1. Suppose -d + 7*q + 17 = 3*q, -6 = -3*d - t*q. Which is the nearest to 0.1? (a) d (b) 4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*l - 0*l. List the prime factors of (-280)\/(-6) - (-2)\/l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*w + 6, -2*n = 5*w - 13 - 8. Suppose 4*p - 148 = -x, 2*x - 5*x + 192 = w*p. Calculate the greatest common factor of 18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 38551, 155203, 349953, 622801, 973747, 1402791, 1909933?\n\"Answer: 39049*w**2 - 495*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -2 - 4*m + 7*m - 2*m - 7*m**2. Calculate the remainder when j(-3) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7508216l in millilitres?\nAnswer: 750.8216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16383 and 12942570.\nAnswer: 12942570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 285 and 30.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 317268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, c: 7, m: 2}. What is prob of sequence ccm?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4929 is divided by 4891?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24\/13 - 2\/13*x**2 - 22\/13*x = 0 for x.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76991537365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veeevgereekgeer. Give prob of picking 2 v.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-429)\/47685*51 + (-2)\/(-5)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.59751nm to meters.\nAnswer: 0.00000002659751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22170250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-7) + -1 + 3\/7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2098873 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: Suppose 0 = -5*p + 4*p - 9. Let z be 0 + 3 + p\/3. Solve 4*q = -3*a + 31, z*q = -2*q + 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 9*o**2 - 9*o + 11. What is a(-8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**4\/8 - 2*g**2 + 6*g. Let r(l) = -275*l**2 - l. Calculate r(c(j)).\nAnswer: -2475*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61188 + -16680. Suppose -22*i = -26*i + z. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1620 + a**2 - 3254 + 1629 + a - 5*a**2 + 0*a**2 + 4*a**2 + (-a + 0*a + 3*a)*(2*a - a + a) + 4 - 2*a**2 - 4.\nAnswer: 2*a**2 + a - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6*d**2 + d + 1. Let s be a(2). Let b be s + (-2 - -2 - -1). Calculate the greatest common factor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**5 + 329*b**4 - 802*b**3 - 36968*b**2 - 169184*b - 223872 = 0. Calculate b.\nAnswer: -4, -3, 44\/3, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*f + 2*r - 3*r, -f - 15 = 5*r. Solve -3*h + f = 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 6*a - 48 = 24*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -2. Suppose -2*q = -i*q + 10. Suppose -q*b = 79 - 504. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2745 and 133611960?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 36404 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 20)\/((-28)\/12 - -2). Suppose 31*w - z = 79. Let i be 3\/((-3)\/2*-2). Let b(o) = o + 1. Let t(k) = -5*k - 5. What is i*t(h) + w*b(h)?\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/((-25434)\/(-157)))\/(-25).\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddddddddwdwsdwdwww?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 14*v + 26. Let w be r(15). Differentiate 16 + 15 + 8 - 31*b**2 - w wrt b.\nAnswer: -62*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 66?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqzy when four letters picked without replacement from {y: 1, q: 3, z: 2, f: 13}.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(21\/12) - 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (0 - (-36)\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1940 + 6335. What is the thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n + 84. Let k be v(18). Suppose -k*i = -39*i + 4914. Calculate the highest common factor of 42 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven halves of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/34*(-2)\/999*3. Let u = q - -116989\/28305. Calculate the common denominator of u and 44\/21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**3 + 2*i**2 + 5*i + 6. Let u(y) = -y**3 - y - 1. Let x be (-3)\/(-12) - 1\/4. Let z(l) = -l + 5. Let w be z(x). Determine w*u(p) + d(p).\nAnswer: -p**3 + 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.25*256.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.53 - 0.23. Let j = -0.1 + 0.2. Let n = 0 - j. Which is bigger: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/257 in -3787, 2, -2\/9, 0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -32. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmzgmzzg. Give prob of sequence mz.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 v, and 2 c when four letters picked without replacement from {c: 2, v: 1, i: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*w + 222*w**3 + 470*w - 22*w**2 + 22*w**2 - 203*w.\nAnswer: 222*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36102023 (base 7) to base 6.\nAnswer: 152243105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - ad?\nAnswer: -ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b**3 + 8*b**2 + 359*b - 12. Let o(d) = -17*d**3 - 18*d**2 - 717*d + 27. Calculate 9*i(f) + 4*o(f).\nAnswer: 4*f**3 + 363*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 - (3 + -4 + 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5785217428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f**3 - 46*f**2 - 2743*f - 29937. Give w(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-67 + 226 - 30)*(3*g - 2 + 2)*(2*g - 2 + 2) to n*g + t + l*g**2 and give l.\nAnswer: 774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110000001010 - -111101000001?\nAnswer: 101101101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1500435 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*h**2 - 2*h**4 + 158754*h - 158754*h)*(0 + 2 - 4).\nAnswer: 4*h**4 + 158*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(396) + (0 + sqrt(396) + sqrt(396) + 3 - sqrt(396)))**2 + 2.\nAnswer: 72*sqrt(11) + 1595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5044 + -3174. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53\/(-55)*1 - (-150)\/250?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - y. Let t(b) = 2*b - 1. Let o be t(3). Suppose -2*k + o*k - 6 = 0. Calculate p(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*h - 3*h + 47 + 1. Put h, -783, 0.1 in ascending order.\nAnswer: -783, h, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -889816, -889810, -889798, -889780, -889756?\nAnswer: -889726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 169 = 361. What is the highest common divisor of v and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 0\/(-5) + (54 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 10113.562.\nAnswer: 50567.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**3\/5 + 144*a**2\/5 + 1863*a\/5 + 3174\/5 = 0?\nAnswer: -23, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2539 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -35*k. Let b(m) = -843231*m**2. What is a(b(f))?\nAnswer: 29513085*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2866 divided by 398\nAnswer: 1433\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -16. Is 6 a factor of (25 - 1)*3\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 151161387 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11.39442 seconds?\nAnswer: 0.189907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9660 = -141*b + 302*b for b.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -18, -48, -112, -222, -390, -628, -948?\nAnswer: -1362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502569560.\nAnswer: 2, 5, 79, 157, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -146856 by -4.\nAnswer: 36714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**3\/4 + 6711*p**2\/2 - 6126093*p\/4 + 166731075 = 0. What is p?\nAnswer: -4900, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, -3\/4, 2, -133, -117?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -12) + (15 - (-2 + 9 + -17)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/54*3*(-48)\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-4))\/(3\/(-6)). Sort z, -5, 1\/10.\nAnswer: -5, 1\/10, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*l + 242*l - 411*l**3.\nAnswer: -411*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1614 - 3242 = 74*r for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -5) + (-4 + -4 - -8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(4230\/(-741)) + 1\/3. Let x = -114\/1175 - k. Which is the smallest value? (a) -1\/4 (b) x (c) -1\/2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 72*o**2 - 351*o + 1014.\nAnswer: -3*(o - 2)*(o + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 81, 387, 2, 4, 5 in descending order.\nAnswer: 387, 81, 54, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 246812 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnja. What is prob of sequence ajnj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1775037 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 13. Let d(a) = a**2 + 4*a + 3. What are the prime factors of d(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f. Let v(o) = 64*o + 21. Let p(g) = -33*g - 9. Let y(l) = 14*p(l) + 6*v(l). Give y(x(i)).\nAnswer: -156*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*x**5\/3 + 4378*x**4\/3 + 51470*x**3 + 230318*x**2\/3 - 5794562*x\/3 + 359120 = 0. What is x?\nAnswer: -67, -8, 3\/16, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78146905*g**3 - 1675*g**2 - 4*g - 154 wrt g.\nAnswer: 468881430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -8*v. Let i(j) be the first derivative of -2*j**3\/3 - 3. What is a(i(q))?\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 4*r + r)*(-2*r - 3*r + 4*r) - 169 - 59*r**2 + 169.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5210055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/34998070 and -33\/595.\nAnswer: 244986490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 4*a - 4087266, -3*d + 3420109 - 967743 = -4*a. Suppose 4457454 = 4*h + d. Round h to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 4784542549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 - 61*a**4 - 5*a - 3*a**3 + 7*a**3 + 62*a**4 to r*a**4 + b*a**2 + k + w*a**3 + g*a and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 3. Suppose -3 = -2*g + 7. Suppose 0 = -s + g*s. Let b be h(s). Is -2 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -3\/4*w**4 - 12*w**3 + 0*w + 0*w**2 - 2. What is the third derivative of t(o) wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17.3 and 89?\nAnswer: 1539.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/50 of a kilometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 170589 = -b - 82337, -252926 = -i - 4*b. Suppose 78329 = 3*d - 3*l + i, 0 = 4*d + 2*l + 232802. What is d rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 + -4)\/((18\/(-964))\/9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -410*y**5 - 28*y**3 + 621*y + 10?\nAnswer: -8200*y**3 - 168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.24 - -1.76. Which is the second smallest value? (a) 1 (b) -11 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 3:27 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -937231 less than -937231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-2)\/((-6)\/(-3)). Let d(r) = 13*r. Let k(q) = -q. Let w(p) = 4*d(p) + 44*k(p). Determine w(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-19)\/228*-30 + (-1 - (-789)\/6). What is the highest common divisor of 16226 and y?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpqqpqqqqqqqqqqqqpp. What is prob of picking 2 q?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 30 (b) 1\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1005, 2031, 3091, 4191, 5337?\nAnswer: 6535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.018408178 - -10368.812.\nAnswer: 10368.830408178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2951 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 2*r - 4. Let u be r\/7 - 104\/(-28). Let q be u\/6 + 1\/(-1). Is 1 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/466484 and 9\/556.\nAnswer: 466484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vieeeeneejeeji. Give prob of picking 1 v and 1 e.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 4*u - 580. Is (u + 4)*(1 - (-2 + 2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 8*h - 9. Let d be f(6). Factor 2*t - 7*t**d + 3*t**3 + 4*t**3 + 2*t**3 + 4*t**2.\nAnswer: 2*t*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 12:33 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w. Let a(z) be the second derivative of -z**3\/6 + 12*z. Determine -10*a(u) + o(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -40259 * -0.423\nAnswer: 17029.557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -30.2. Which is the second biggest value? (a) l (b) 2\/5 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -339 + 343. What is the first derivative of -47*g**i - 145 + 13*g**4 + g**3 - g**3 + 14*g**4 wrt g?\nAnswer: -80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1288?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -329\/10341 + -2\/383. Let i = -31\/108 - v. What is the third smallest value in -0.1, i, -6, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/2 - 13\/4. Let i = 64 + -36. Let n = 27.7 - i. Which is the third biggest value? (a) n (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 3*d = -19, 5*v + 0*d - 1 = 3*d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350 - 5*s**2 + 350.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2758 - q + 2758.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhx when three letters picked without replacement from xwwwhhhhhwhwwwwwhhhw.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68059900 by 20.\nAnswer: 3402995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117 or -88?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -20. What is the closest to -4 in p, 2\/19, 6\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*a**3*j**3*z**2 + 9*a**3*j**3 - 7*a**3 - 2*a**2*j**3*z + 27*a*j**2*z - 10196*j**3*z**2 - 3*z wrt z?\nAnswer: -18*a**3*j**3 - 20392*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 21.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1183, -184, -1\/8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert a44b3a (base 16) to base 13.\nAnswer: 22ccb03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6515 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7495222 or -7495223?\nAnswer: -7495223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*q - 13 + 6*q + 9*q + 8*q in the form r*q + m and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-9))\/((-2)\/6). Let f(b) = 2*b**3 - 3*b**2 + 3*b - 1. Is f(c) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 16871.\nAnswer: 6\/16871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 135516.719 rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 170 - 152. Solve 5*j = 2*z - 4*z - x, 0 = -3*z - j - 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143583 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/18468 and -43\/15147.\nAnswer: 3453516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 30 - 5 = 0. Let f = -0.53 - -0.23. What is the nearest to -1 in f, s, 23?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 + 24*g + 399. Let t be j(56). Is -4529 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38898 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-248)\/341*(-270)\/1080?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1683 - -0.1683. Let o = -11 + -9. Put -4\/5, o, p, 2 in ascending order.\nAnswer: o, p, -4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-1\/3)\/u)*u\/((u**(1\/6)*u)\/u*u))\/((u*u**(1\/4))\/(u*u**(-1))))\/((u**(-5)*u**(2\/13)\/u)\/(u*u*u**9*u**(4\/5))) assuming u is positive.\nAnswer: u**(14479\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t + 5. Determine g(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 22. Which is greater: -9 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 754799998\/17 - 7*10\/(-595). What is q rounded to the nearest one million?\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 57452*h + 174201. Determine q(-3).\nAnswer: 1845","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 + d - 4*d + 477 - 476. Determine i(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 15 = 4*s - 7*s, -3*s = z - 5. Suppose 4*y**4 - 3*y**2 - y**4 + s*y**4 + 3*y - 3*y**3 = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -0.7, -0.4, 2\/381?\nAnswer: 2\/381","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**6\/120 - 7*u**5\/30 - 13*u**4\/24 - 23*u**3\/6 + 52*u**2. Calculate the least common multiple of 5 and z(15).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -765 - 764 + 33*s**3 + 4*s + 1530 as b + k*s**2 + i*s**3 + t*s and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13944975 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 19.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 219104.84946 - 219101. Let k = -3.6894611 + o. Let c = -0.16 + k. What is c rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 559332.9 kilometers to meters.\nAnswer: 559332900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -120660, -120658, -120656, -120654?\n\"Answer: 2*h - 120662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n - 3. Suppose -4*l + g + 4 = -26, -5*l - 3*g + 29 = 0. Give r(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26193326 or 1?\nAnswer: 26193326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -26. Let q = -105 + 116. Let f(k) = 0 - 6 + 7 - q*k. Let j(n) = -10*n + 1. Calculate c*f(p) - 6*j(p).\nAnswer: 5*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*0.02\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.42 + -1.58. Let c = -1 - 0. What is the smallest value in g, c, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3293*g**2 - 16*g - 47. Let w(c) = 10977*c**2 - 54*c - 159. Give -27*p(i) + 8*w(i).\nAnswer: -1095*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*r*w**4 - 5*r*w**3 + 5404718*r*w**2 + 2*r + 15093*w**4 wrt w?\nAnswer: 168*r*w - 30*r + 362232*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - z**2 - 5*z + 2. Let a be s(3). Suppose 4*l = a*l. Solve l*t = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 6. Let v = u - 4. Let q = -2 - v. Which is the second biggest value? (a) q (b) -1\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnjjnnjnjnjn. Give prob of picking 1 n and 1 j.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*t - 2088 = -623, 10 = -2*t. Let k = 749 + h. Solve 4*w = -k*b - 12, 4*w - 5*b = 4 + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4090 divided by -1551?\nAnswer: -4090\/1551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2 - 387*z - 10. Let x(r) = -4*r**2 + 384*r + 8. Let t(a) = 4*f(a) + 5*x(a). Find l, given that t(l) = 0.\nAnswer: 0, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 1\/60*q**5 + 1\/24*q**6 + 1\/3*q**3 + 0 - 5\/24*q**4 - 10*q**2 + 0*q - 1\/70*q**7. Factor i(a).\nAnswer: -(a - 1)**2*(a + 1)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000104278 to 7 dps.\nAnswer: 0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3358, -1\/6, -8, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - w + 3*w)*(1 + 1 - 4 + (0 + 1 - 3)*(4 + 0 - 3) + 0 - 1 + 3 - 441 - 417 + 819).\nAnswer: -41*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3385437?\nAnswer: 3, 11, 173, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**4 - 6*t**4 + 4*t**4)*(-25 - 37 - 32) + 0*t**2 + 2*t**4 + 0*t**2 + (-2*t**2 + 0*t**2 + t**2)*(-4*t**2 + 3*t**2 + 2*t**2).\nAnswer: 189*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from whvro?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4444447 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.3 < -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50314 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y. Let i(b) = -2*b**2 + 19*b - 4638. What is i(r(w))?\nAnswer: -8*w**2 - 38*w - 4638","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3828 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1415 - 2915\/2. What is the common denominator of h and 51\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3751 and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*f - 102, -3*t + 3*f - 115 = 50. Let i = t + 61. Let h(u) = -4*u**3 + 2*u - 1. Give h(i).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -143483\/19 + 7550. Let q = 15861 + -1205385\/76. Calculate the common denominator of q and l.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/27*(-3)\/(-23)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(243)*3)**2 + -2 + (sqrt(243) + 2)**2)*5.\nAnswer: -360*sqrt(3) + 12180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10650961, -21301918, -31952877, -42603838, -53254801?\n\"Answer: -c**2 - 10650954*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 9*j**5\/10 - 2*j**2 + 4*j. Differentiate z(v) with respect to v.\nAnswer: 54*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 779847 to the nearest integer?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 2. Let h(o) = 5*o**2 - 11. Let j(t) = -2*h(t) + 11*n(t). Let w(f) = 4*f + 4*f - 5*f. What is j(w(z))?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 1 + 19 - 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) -18 (c) -4 (d) -1477552\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1\/2, -0.3182, -5\/2, 5, 0.11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -88 + 86. What is the third smallest value in -3.2, -1, r, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 63549.06 grams?\nAnswer: 0.06354906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -361, -322, -273, -214?\n\"Answer: 5*l**2 + 24*l - 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1106, -1091, -1066, -1031, -986?\nAnswer: -931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqlqvlamgmm. Give prob of picking 1 a and 3 m.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 69*r**2 - 2*r + 1. Let o be q(2). Suppose -4*u + o = 17*u. Calculate the greatest common divisor of 611 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.42 - 62020867956.63?\nAnswer: -62020867956.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(-21) - (-5400)\/6300.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20.7? (a) -0.3 (b) -2\/11 (c) 0.2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 2:01 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 8 = -3*i. Suppose 0*x - 5*w - 31 = 3*x, x + 12 = -i*w. Let y be (-192)\/40 + 2\/(-10). Sort y, 4, x in descending order.\nAnswer: 4, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -2 + (-19)\/14)*326420\/146889.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -11. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5273, -100, -4 in descending order.\nAnswer: -4, -100, -5273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*z + 7 + 5*z - 2*z**3 + 6*z - 7.\nAnswer: -2*z**3 - 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/23)*g*g\/g**9)**(-15\/4) assuming g is positive.\nAnswer: g**(2385\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.086663 rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49373?\nAnswer: 97, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107707022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -1. Let j = o - 13. Which is the closest to -0.2? (a) 0 (b) j (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/23, 5 in descending order.\nAnswer: 5, 1\/23, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(111\/(24975\/2100))?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h - 50. Let y(n) = 3*n + 33. Let i(r) = 5*u(r) + 7*y(r). Let p = -41 - -107. Suppose z + p = x + 4*x, 5*z = -5. Calculate i(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/3 - 10*m\/3 - 77.\nAnswer: (m - 21)*(m + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 13. Suppose q + 22 = z. Let l be 348\/28 - q\/21. What is the highest common factor of l and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20305339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1009 times 0.2\nAnswer: 201.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*l = 0, 2*b = 5*b + 4*l. Solve b = -z + 2*z + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34270 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1124 - -2459. Suppose 8*x = -y + 4143. What are the prime factors of x?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9867373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21247410, -42494816, -63742222, -84989628, -106237034?\nAnswer: -127484440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-4 + -1 + sqrt(76) + (sqrt(76) - sqrt(76)*-1)*5)**2)*-4.\nAnswer: -36872 + 880*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 62*s + 86. Let z(v) = 2872*v**2. Determine y(z(u)).\nAnswer: 178064*u**2 + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/3)\/((-44)\/(-66)). Solve -15 = -l + 2*p, -3*l + 0*p = y*p + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j - 879 = -8*j - 203 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/220 and 21\/200.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 55453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -482 less than -526?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*f - 13, f = 4*i - 7*i + 6. Differentiate i + 2 + 2*o + 1 - 2 wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124230 - -100?\nAnswer: 124330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (359*n + 28*n + 661*n)*(7 + 2*n**3 - 7 - 2*n) to v*n**3 + k*n**2 + f + u*n**4 + w*n and give k.\nAnswer: -2096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 6*y - y**2 - 11*y**2 + 3*y**2 + 1 - y**3 + 5*y**2. Let q = -11 - -20. Let d = q - 14. Give u(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 2)*(2 - 7 + 3)*(-6 + 2 + 2) - 3 - 3 + 3)*(-1160*q + 44*q**2 + 1160*q).\nAnswer: 220*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 501 + 194*d - 9*d - 501.\nAnswer: 183*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 2*t**3\/3 - 3*t**2 + t. Let l(p) = -6*p - 7 - 10 + 17*p. Calculate -17*j(z) + 6*l(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 3*y + 0*y - 6*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, c: 11}. Give prob of sequence cc.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1240.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -306732, -613523, -920312, -1227099, -1533884?\nAnswer: -1840667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3 + 570690*s**2 + 7989334*s + 18831846 = 0.\nAnswer: -285331, -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25230, -25237, -25248, -25263, -25282, -25305?\nAnswer: -25332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 612*r**3 + 2*r**2 - 3*r + 1. Suppose 3*m + 2*u - 3*u - 8 = 0, 4*u = -20. What is the units digit of o(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*h - 73*h + 95*h = -28. Which is bigger: -19\/118 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13241.31 or -2\/17?\nAnswer: 13241.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148505655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 256 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1604 = -2*u + 4*l - 2*l, -4*u = 4*l - 3200. Suppose 2*d + u = 3*z, 0 = d + 1 - 4. Suppose 2*k + 41 = x, -5*k + z - 94 = 5*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1860 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 140 = -2*u, 3*w - 2*u = 53 - 457. Let g be (-240)\/w - 4\/(-22). Let d(s) = 8*s - 3. List the prime factors of d(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 8804 = -63*m. What is the remainder when 1607 is divided by m?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.35? (a) 4 (b) 0.41 (c) -14213\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o. What is m(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 64*v + 7. Is b(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -102? (a) -2 (b) 3\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10893172 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -589*t - 12 = -3*a - 592*t, -3*a = -2*t - 32 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238211 is divided by 117.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 79\/1 + 4\/(-1 + -3). What is the units digit of (a\/(-52))\/(3\/(-128)*2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1408.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 183.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189998?\nAnswer: 2, 94999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104412 (base 6) to base 4.\nAnswer: -2021120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 25*d + 90. Calculate k(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*s + 20. Suppose -4*r = -4*m + s, 4*r + 5 + 7 = 0. Suppose m*w + 4 = d + 17, 2*d + 3*w = 2. Sort -0.1, -1\/5, d in descending order.\nAnswer: -0.1, -1\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-26)\/(k\/k**(-1\/33)))\/(k\/(k\/k**(-31)))**(2\/5))**(-22) assuming k is positive.\nAnswer: k**(4828\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5063894 and 518.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0. Let f(l) = -65*l - 901. Let u be f(-14). Calculate the highest common divisor of u and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/20 - 34\/170. Let a(z) be the third derivative of -3*z**2 + 1\/2*z**3 + 1\/60*z**5 + 1\/3*z**4 + 0 + y*z. Determine a(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035648 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o = 0. Suppose o = -5*z + 2*s + 66, 18 = z + s - 3*s. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -5. Let p = 7 + i. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpm when three letters picked without replacement from {m: 6, g: 1, f: 5, p: 3, x: 2}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-860035)\/(-244431))\/(5\/(-3)).\nAnswer: -19\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 429.5 - 375.03. Let x = 2.93 + m. Let z = -57 + x. Which is the second smallest value? (a) z (b) 3 (c) 5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 32934168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -7.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(24)*4 + sqrt(24))\/(2*sqrt(648)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 - h - 2. Does 8 divide l(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 482484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h - 9*h**2 - 3*h**3 + 4*h - 1 + 10. Let j(c) = -c**3 - 4*c**2 + 4*c + 4. Determine 9*j(k) - 4*v(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.54 and 28.\nAnswer: -15.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25910313.\nAnswer: 3, 11, 13, 60397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2869782.\nAnswer: 2, 3, 29, 16493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 846861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 148*z + 71*z + 75*z + 15 + 10 + 12.\nAnswer: -2*z + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3382 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -30200 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 2*i + 2. Let t be -7 + (4 - (2 - 0)). Let v(o) = o**2 + 3*o - 7. Let m be v(t). Calculate f(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -21*y - 1. Let s be m(1). Let a = -16 - s. What is the third derivative of -4*j**6 - 3*j**2 + 3*j**6 + 0*j**a wrt j?\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w. Let m(r) = 0 + 5 - 5 + 4*r**2. Determine z(m(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 594351 to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + 3*m - 5*m - m**2 in the form p + f*m**2 + b*m and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3 (b) 0.1 (c) -1.9 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/8 (b) 15007 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18 + -316?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -789 (b) 4\/9 (c) 0.5 (d) -0.427\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11616 and 1936?\nAnswer: 11616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*y**3 - 87*y**3 + 174*y**3 - 2 - 11*y**2 - 345*y + 2.\nAnswer: y**3 - 11*y**2 - 345*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*w + 98*w - 56*w.\nAnswer: -25*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + m + 8 = 4*h, m - 5*h + 29 = 0. Let g = 0.6 - -1.4. Which is the third biggest value? (a) m (b) -2 (c) g (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.5 (b) -0.162 (c) -0.2 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-342)\/(209\/11) - ((-216)\/45 - 15)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-12) - 19\/228. Solve 3*t + x*t = k - 14, 4*t + 15 = 5*k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 5 = -2*z - 4*s, -5*s + 40 = -5*z. What is the units digit of (z\/6)\/(5*4\/(-1050))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -39*f + 25. Let p be q(4). Let w = -129 - p. Solve l = -w*y - 6, -3*l - 15 = 6*y - y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5768252, -5768264, -5768276, -5768288, -5768300, -5768312?\n\"Answer: -12*u - 5768240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 948 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b - 12. Let p be l(-8). Suppose -p*n + 117 = -127. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j - 120 = -10*j. Suppose -4*n = -j*g - 3224, 2913 + 1113 = 5*n - g. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 137*s + 188. Calculate k(-1).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven halves of a centimeter?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/928 and 9\/73196.\nAnswer: 585568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1997\/8 + -250. Let g = -0.8 + 1. Let s = -0.4 + 0.1. Sort g, y, s in descending order.\nAnswer: g, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (0 + -5 + 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 6, 5 = -2*x + 3*o + 72. Let s = -49 + x. Is -18 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -908*z - 2724. Let x be t(-3). Let i(h) be the second derivative of -1\/18*h**4 - 1\/6*h**5 + 0 + 0*h**2 - 4\/45*h**6 + 26*h + x*h**3. Factor i(j).\nAnswer: -2*j**2*(j + 1)*(4*j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + (-97 - -42) + -8 + 1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12739, 50306, 112771, 200134, 312395, 449554, 611611?\nAnswer: 798566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 22*s + 675 = 0. Let z = s - -75. Solve 4*a + 34 - 10 = -5*g, 2*a - 4*g - 14 = z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 1:50 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 95?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 191 + -148. Is n less than 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*p**5 + 5*p - 223 - 19*p**4 - 148 + 261 wrt p?\nAnswer: 80*p**3 - 228*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 32*v - 51. Let n be a(-29). Solve -14*l - n = 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a9 + -20836?\nAnswer: -208e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/3)\/(18\/2)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/922 and 58\/501.\nAnswer: 461922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/2, -0.1, -5 in ascending order.\nAnswer: -5, -9\/2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -519 + 730. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -655.1 - -628. Let k = -27 - j. Let w = 1.6 - -5.4. Which is smaller: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/53)\/g*g*g\/(g\/(g*g**(1\/10)))*(g\/(g\/g**(1\/6)))\/g**(-5\/4))**(1\/31) assuming g is positive.\nAnswer: g**(11303\/98580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.044 - 5.044. Which is the smallest value? (a) -47 (b) i (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 42?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*s + 13. Let o = s - 2. What is the smallest common multiple of 7 and o?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.309 (b) 1\/2 (c) 5 (d) -28 (e) 3 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + -4.7. Let s = 971.9 + -969.9. Which is the fourth biggest value? (a) -6 (b) t (c) s (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43160\/1352 + (-9 - (6 - (-588)\/(-39)))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 675449*d**2*g**3 + 85*d**2*g - d**2 + 6*d*g + 299*d - 40*g**3 + 2*g wrt g.\nAnswer: 4052694*d**2*g - 240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 3. Let u be j(3). Solve 0 = -d - 2*d + u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 183825 divided by -95\nAnswer: -1935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = m - 4. Which is the smallest value? (a) -0.02 (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4291 - -4321. Solve -v + 27 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, q: 4}. What is prob of sequence qqtt?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19321.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 3:28 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 6*g**2 + 5*g + 6. Suppose 2*v = -3*i - 7, v - 4*v + 4*i = 2. Let m = 4 - v. Is c(m) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*x - 4. Suppose n + 3 = -x*n. Let b be (-18)\/2 + n + 5. What is the nearest to -0.1 in 2, -4\/7, b?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 22*k - 1. Let x(v) = v**2 - 137*v + 8. Let p(q) = -6*o(q) - x(q). Let d(h) = -h. What is 6*d(n) + p(n)?\nAnswer: -n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176806567, -176806569, -176806571, -176806573, -176806575?\nAnswer: -176806577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 12:12 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -219 - -219. Put -1\/2, y, -4\/7 in ascending order.\nAnswer: -4\/7, -1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q + 2. Let n(p) = -8*p + 5. Determine -4*n(v) + 10*x(v).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26816786 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -26*c**2 + 12*c**3 - 25 - 26 + 49 + 21*c. Let v(w) = 6*w**3 - 13*w**2 + 10*w - 1. Let u(x) = -2*r(x) + 5*v(x). Factor u(k).\nAnswer: (k - 1)**2*(6*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 1\/3 (c) -27 (d) -1856\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/217?\nAnswer: 1\/217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j + 5*j - 11*j - 8*j. Let w(b) = -b**2. Give q(w(s)).\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*q**3 - 1119*q**2\/4 - 598*q - 21.\nAnswer: (q - 42)*(q + 2)*(28*q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 3*o**2 + o - 7. Give b(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = -2*m + 3*m. Does 39 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i - 36. Let l be g(-13). Solve l = -3*j - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20213103220 (base 4) to base 2\nAnswer: 1000100111010011101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111000 (base 2) in base 7?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 96633938?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oraaorokoforooooo. What is prob of picking 2 r and 2 o?\nAnswer: 27\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 3. Let s(d) = 2*d**2 + 0 + 10 - 3*d**2 - 12*d. Let o be s(-13). Let m be a(o). Which is smaller: m or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 71, -5, -1\/2, 5, -2\/7 in descending order.\nAnswer: 71, 5, -1\/4, -2\/7, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-8)\/42*66\/(-4).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125127501 to the nearest integer?\nAnswer: 11186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 171996997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b*d**3*t - 2*b*d**3 + 2*b*d**2 - 212*b*d*t + b + 2386891*d**3*t - 2*d**2*t + 3*d*t + 2*t + 53 wrt d?\nAnswer: -12*b*t - 12*b + 14321346*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -7*m + 11*m - 8, -5*m + 20 = -5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 15, 2\/11, 1\/4, 1\/26?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 + -49. What is the third smallest value in 3, 18, z, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -341 - -4?\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-371 + 271 + 195)*(-4*f**2 + 4*f**2 - f**2)*(0 + 0 + 1).\nAnswer: -95*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 18816*9\nAnswer: 169344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 8) to base 15\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31591070.\nAnswer: 2, 5, 7, 451301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 111*n**2 - 4*n + 21. Is l(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 86076 and 1118988?\nAnswer: 1118988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 + 3*x - 4. Let o = 9 + -6. Calculate s(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5959294*c**4 + 5950502*c - 2 wrt c?\nAnswer: 71511528*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 20289312 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 17290 to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/((-16)\/246) - -5. Let r = p + 57. Determine z so that -1\/2*z**2 + 0 + 1\/2*z**4 - r*z**3 + 0*z + 1\/2*z**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -9*v**3 + 998*v**2 - 2832*v + 2590. What is f(108)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13628 is divided by 2554.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3722 divided by -356?\nAnswer: -1861\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(11\/3)*o\/(o**4*o)*o)\/(o**(2\/3)\/o)**(-35) assuming o is positive.\nAnswer: o**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**3 + 2028*g**2 - 4062*g + 2032 = 0.\nAnswer: -1016, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-153179)\/26*2*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - -0.2. Suppose -12 + 1 = 3*o + 4*z, 0 = -2*z - 4. Let m = 3 - o. Which is the closest to 2\/3? (a) m (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*j - 236*j - 219*j.\nAnswer: -654*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 74 + 73 - 170 + 24*c**2.\nAnswer: 24*c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*u - 6*u, 260 = -5*d + 5*u. Let q = -50 - d. Find the first derivative of -11*h**q - 17*h**4 + 12*h**4 - 19*h**4 + 24 wrt h.\nAnswer: -140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 831150738 from 7.\nAnswer: -831150731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.114, -2, -18\/7?\nAnswer: 0.114","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -119435800463762 and 2?\nAnswer: 119435800463764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -41 + 16 - (2 + 1 - -55)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/4 or -239?\nAnswer: -239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-168)\/(-63)*21)\/(1918\/4384).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 8. Let b(t) = t + 79. Let x(s) = -b(s) + 6*d(s). Determine x(-23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -125, 71, 3, 1, 4, -3 in decreasing order.\nAnswer: 71, 4, 3, 1, -2, -3, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p - 9*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a minute in seconds?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + ab8?\nAnswer: ab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a centimeter in micrometers?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4*u + 5*l = -21, -u = l + 6. Let a = u + 5. What is the remainder when a is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112187597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4 - 2397*k**3 - 2415*k**2 + 12009*k - 7200 = 0. Calculate k.\nAnswer: -3, 1, 800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 1184 = 6*w. Suppose -7*x + 793 = w. List the prime factors of x.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3602315244?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5724 * -52\nAnswer: 297648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5 = 5*m, 5*m - 19 = a - 4. Calculate the least common multiple of a and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f. Let w(d) = -5*d**2 + 5*d**2 - d**2 - 6*d. What is 6*l(y) - w(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.45, -0.5, -0.3, -66, -34, -2 in decreasing order.\nAnswer: 0.45, -0.3, -0.5, -2, -34, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 4, 6\/31, 0.1?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -11*g**2. Let j(x) = 4*x + 5. Calculate c(j(z)).\nAnswer: -176*z**2 - 440*z - 275","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05675 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (-1)\/3*-3. Let q = -3.5 + 17. Let z = q - 19.5. What is the closest to -0.1 in 0.5, z, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5206, 20561, 46060, 81703?\nAnswer: 127490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*d + 283 + 89. Are d and -342\/29 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 719*x + 5 = 718*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/7)*y*y*(((y*y*(y**(-1\/2)\/y*y)\/y)\/y)\/y*y)\/y)**6*(y**(-1\/2))**(-31)*((y**(-2\/5)\/y)\/y)**41 assuming y is positive.\nAnswer: y**(-5833\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 2. Let q be o(-2). Which is the third smallest value? (a) 0.4 (b) q (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -40 (b) -5 (c) -9493 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26669596, -26669599, -26669602, -26669605?\n\"Answer: -3*l - 26669593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-14\/5)*u\/u**(2\/11) assuming u is positive.\nAnswer: u**(254\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - 11) + -21 - (-4 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 20 + 6 = 0. Let g = -16 - c. What is the units digit of 2 + 0 - g\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/449 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1204 and 1075.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4+0.58884\nAnswer: -3.41116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8021 - 8020.8. Sort -12, w, -0.4, 0 in ascending order.\nAnswer: -12, -0.4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 divided by 3?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -128 + 126. Suppose 7*u = 3 + 18. Suppose -4*c = -4*m - 0*m + 32, u*c = m - 18. What is the third biggest value in y, c, 1\/2, 4\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 45.5. What is f rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 83*v**2 + 5*v - 23. Let u be b(2). What is the highest common divisor of u and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {m: 9, s: 11}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34539539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**4\/24 + t**3\/2 - 20*t**2. Let b be w(15). Solve -5*j + 2 + b = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25.66038 litres?\nAnswer: 25660.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j**2 + 260. Let k(a) = -11*a + 4. Give d(k(m)).\nAnswer: 605*m**2 - 440*m + 340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 1.16, 0.1, 1\/8 in decreasing order.\nAnswer: 1.16, 1\/8, 0.1, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ce01a (base 16) in base 2?\nAnswer: 11001110000000011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -10 - 73*o + 141*o - 69*o. What is d(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4215 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 6*j**2 - 8*j - 101. Let y be o(-7). Solve -y*c = 4*m - 12, 4*c + 17 = -m + 8*c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 10) to base 15\nAnswer: -6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/5200 and -169\/1980.\nAnswer: 514800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 16 = 2*x. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**2 + 84*m + 300. Calculate the remainder when 515 is divided by l(31).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18 + (-8920)\/160 - -38. Let v = 0.9 + -0.1. Which is the third biggest value? (a) q (b) -5 (c) -7 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 98 + 36 + 29 - 18*k.\nAnswer: -18*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 174541925 to the power of 1\/2, to the nearest integer?\nAnswer: 13211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2. Let u(i) be the second derivative of 8*i**3\/3 + 71*i**2\/2 + 1127*i. Calculate u(v(p)).\nAnswer: 16*p**2 + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 4:54 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.68 - 0.922. Let g = -267808 - -267807.7579382. Let a = v - g. What is a rounded to six decimal places?\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3976 - -1.2976. Let g = -114\/5 - -441\/20. What is the closest to -2\/7 in g, -0.011, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*m + 4*m - 2*m)*(-m - 3 + 3) + (-2 - 30 + 5)*(-m**2 + 0*m + 0*m).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 = -0*i - 4*i. What are the prime factors of i?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1404, 2804, 4204, 5604, 7004?\nAnswer: 8404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus -480006229724?\nAnswer: -480006229725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 2*v**2 + 36*v + 13. Calculate d(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 68857048 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -16956*w + 1039. Is h(-35) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0124987 and -14.0816498.\nAnswer: -14.0941485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 114 = -26. Suppose 5*w = 4*x + 6182, -3*x = 3*w - z*w + 6179. Is w a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 1. Let x be w(9). Let u = 15 + -12. Is ((-30)\/x)\/(u\/(-32)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 158, -5, 0, 3 in descending order.\nAnswer: 158, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -31875\nAnswer: 318750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*y + 150, -s - 6*y + 65 = -10*y. Calculate the remainder when s is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834330 is divided by 9809.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 2*j + 20, 0 = b + 2*j - 4 - 0. Suppose 7*m - 33 = 2*m - b*z, -4*z + 13 = m. Solve 3*x = -1 - m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11\/3 + -25\/6. Which is greater: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, p: 3, r: 4, l: 1, g: 8, t: 2}. Give prob of picking 2 r, 1 l, and 1 f.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90 - 85. Suppose 0 = -9*f - a*f + 4*f. Solve 6*b - 2*b = f for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 264918292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/3)\/(5\/(-3)). Let z = -1977497\/7 - -282499. Which is the closest to g? (a) z (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z + 42 = -26*z. Suppose z*x - 2*x - 71052 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*l + 4508 = 10*l + l - 2576 for l.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1439 take away 15440.5246?\nAnswer: -15441.6685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 + 7*t + 9. Let k(w) = -3*w**3 - 11*w - 14. Let c(g) = -5*k(g) - 8*n(g). Let v be c(0). Let q be 1 + 0 - (-3 + 5). Which is greater: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22690 + -90763\/4. Put 79.2, w, 0.5 in descending order.\nAnswer: 79.2, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30 + 172)\/(2 + -1). Let g = 149 - n. Suppose 3*i = 4*i - 9. Is i >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t - 3*t - 3*t - 5*t. Let g(n) = n + 21. Let v be g(-21). Let q(h) = h - h - 2*h + v*h. Give i(q(p)).\nAnswer: 30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 3*p**2 + 7*p - 9. Suppose -3*q + 16 = q + 3*o, -3*q - 4*o = -12. Let r be j(q). Solve -4*c = -r - 13 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {m: 2, l: 1, d: 1, b: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.037, -0.12, -13, 1?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25589676?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -466*o + 302*o + 167*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5643654399.\nAnswer: 3, 209024237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -75, -327, -739, -1305, -2019?\n\"Answer: d**3 - 86*d**2 - d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -11*t**4\/8 - 3*t**3\/2 - 23*t**2. What are the prime factors of l(-2)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000990298 rounded to seven decimal places?\nAnswer: -0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/25 + 16\/10. Suppose d*l + 47 = -27. Is l equal to -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -d - 0*v + 4*v, 39 = 2*d + v. What is the remainder when 82 is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1325 = -436*y + 383*y for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*m + (4 + 0 - 2)*(7*m - 2*m - 3*m) + 3*m - 2*m + 0*m - 2*m + 1 - 1 + m - 5*m + 3*m - 2*m + 3*m + 0*m + 2179 + 833*m - 2179.\nAnswer: 838*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**3 - 8*v**2 + 12*v = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -386, -623, -860, -1097?\nAnswer: -1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - j + 24 = 5*f, -6 = 3*j + f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4317822 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 29. Let h be 1186\/n + 5\/10. What is the greatest common factor of h and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 448224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 10*x + 251. Does 17 divide l(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -0.132. Let t = 1.968 + n. Which is the third biggest value? (a) -0.3 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -2*f + 7*g + 60, -2*f - 2*g = 36 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1335739599*q**3 - q - 6 + q + 1335739601*q**3.\nAnswer: 2*q**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - 0 - (2 + -5). Let k be (-3)\/(-6) + (-3)\/(-2). Suppose u = k*b + 2*b. Solve b*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 - 400 = -4*z. Suppose z = -q + 5*q. Suppose 3*f - f = q. What is the lowest common multiple of 2 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.244 and -3.4?\nAnswer: 0.8296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v + 5*v - 264 = -19*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n. Suppose 0*a = 2*i - 5*a - 44, -40 = -2*i + 4*a. Let o = i + -9. Let f be r(o). Solve 4*z = 3*t - 8, 2*t - 5*z + f = 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 22*r + 9. Let y be 1 - ((-3 + -1)\/(-4))\/(-1). What is the tens digit of c(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s**2 + 45*s + 11. Let l = -19 - -22. What is the least common multiple of f(-6) and 8\/l - (-26)\/(-39)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 3)\/((-2)\/(-2)) - -3. Let i be 15 + ((-10)\/g - -6). What is the greatest common factor of 176 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2925 is divided by 610.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 131354876797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10674 and 7999570?\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 3*x - 9 - 17, m = -5*x + 6. Suppose 1639 = -m*b - 1753. Is b at least as big as -213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 615a8 (base 13) to base 7\nAnswer: 1324611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -340?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 92720695 to the power of 1\/2, to the nearest integer?\nAnswer: 9629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168897 - -35514.\nAnswer: -133383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 + 14 - 8 - 8. Let p = -14 + 20. Let n(g) = 7*g**2 - 5. Calculate p*n(s) - 15*j(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 0.047\nAnswer: -0.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 681157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56881 is divided by 2114.\nAnswer: 1917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*s + 83*s - 30 = 0. Suppose u + 0*x - 132 = -s*x, 5*x - 396 = -3*u. Calculate the remainder when u is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*4\/18)\/(40\/(-60)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109290792 by 2444.\nAnswer: 44718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 18) + -8 + 2 + 13 + -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**4\/5 + 324*j**3\/5 + 3036*j**2\/5 - 308448*j\/5 + 2718912\/5 = 0.\nAnswer: -68, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -2 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = 64*i + 266 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 78142*b + 43*b**2 + 20 + 21 - 41*b**2.\nAnswer: 2*b**2 + 78142*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 0 = -4*n. Let d be -6*57\/n - 0. Let g = d - 30. What is the greatest common divisor of 18 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.0834 (b) 0.5 (c) 451 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18180 take away -5?\nAnswer: -18175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l - 2551 = -2694 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5 * 3.55.\nAnswer: 5.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-12)*2\/(-4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*w - 203 = -389 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*5*(sqrt(22) - -3*sqrt(44)\/sqrt(2)))\/((sqrt(90) - (sqrt(90) + (sqrt(90)*2 - sqrt(90))*5 + sqrt(90) - sqrt(90)))\/sqrt(5)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-11) - (1 - 134\/11). Calculate the greatest common factor of 44 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135 - -172. Let t = 47 + g. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4537457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/8 + 4 + 6\/2. Suppose -11*f = -z*f - 380. Calculate the remainder when f is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*a + 43*a = 2298 + 1134 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -9*i**2 - 17*i + 21. Let u be r(-9). Let j = u + 557. Solve -d - j*d = 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeveeeveeeeevev. Give prob of sequence veev.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 - (-1 + -1) - (5 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1426, 2802, 4188, 5590, 7014, 8466?\n\"Answer: k**3 - k**2 + 1372*k + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*40\/8)\/((-5)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-15))\/((-2)\/(-3)). Let c = 82 + w. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 44 + 37?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2))**(-29)*s**(-1\/15)\/s**(1\/5) assuming s is positive.\nAnswer: s**(-1309\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tttttete.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22716 - 471 = -1355*f + 2558 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.031? (a) 116025 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105204 = -15*r + 5961. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3654*h**4 - 30766*h**2 - h wrt h?\nAnswer: 87696*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*i**2 - 33*i**2 + 77*i**2 - 31*i**2.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3890\/(-1556))\/((-2)\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 - 19 - 25 - 82?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-2\/9)*s**(-2)*((s\/(s*s**2))\/s)\/((s\/s**(2\/11))\/s*s) assuming s is positive.\nAnswer: s**(-455\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1573) + -1)**2 - ((sqrt(1573) - ((sqrt(1573) + sqrt(1573) + 1)**2 - sqrt(1573))) + -5).\nAnswer: -44*sqrt(13) + 11020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyvdffkvvdvddf. Give prob of picking 2 v and 1 k.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -51, -206, -465, -828?\n\"Answer: -52*l**2 + l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 521. Let w(f) = 6339. Let p(b) = -73*v(b) + 6*w(b). Let n = 6 + -3. Let a(o) = o**2 - 2. Calculate n*a(i) + 6*p(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - b + 789, 227*h - 3*b = 226*h + 207. Calculate the remainder when 765 is divided by h.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-1\/5)\/u*(u**(-3\/5)\/u)\/u*u**(-13)\/(u\/u**(-17)) assuming u is positive.\nAnswer: u**(-169\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37702611 or -113107835\/3?\nAnswer: -113107835\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/16 and -9\/70?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1624, 1644, 1676, 1720, 1776, 1844?\nAnswer: 1924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 117939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 55*a**5 - 6*a**4 + 6*a**2 - 9*a + 3. Let i(f) = -f**5 + f**4 - f**2 + f - 1. Let k(w) = d(w) + 6*i(w). Find the second derivative of k(l) wrt l.\nAnswer: 980*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 4, -2, 1\/17 in descending order.\nAnswer: 4, 1\/17, 0.01, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 107820*z - 107824*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-6)*3898*(-3840)\/3200. Is 7796 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iemimemmiimmiimemi. What is prob of sequence emii?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h - 38*h + 2882852. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -6*b**5\/5 - 10*b**4 - 52*b**3\/5 + 228*b**2\/5 - 14*b - 10 = 0.\nAnswer: -5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 8*q + 890 = 650 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-6))\/(2\/3561). Let y = 2267 + p. Round y to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121031 + -231213?\nAnswer: -402244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -12. What is the third derivative of -11*v**5 + 23*v**5 - x*v**5 + 6*v**2 wrt v?\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25 - -c0?\nAnswer: e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208 and 31413616.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(76) + -2 + sqrt(19) + sqrt(19) - sqrt(19)) + 4.\nAnswer: 2 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 239*b + 10281. Let v be o(-43). Solve 5*z - 80 = -3*s - 49, -v*z = -20 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11+-278642\nAnswer: -278653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m - 13. Let y be i(8). Solve -5 = -y*a - 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812297422?\nAnswer: 2, 5849, 69439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39700\/21 - -1890. Let j = 7209330467\/1155 + -6241845. Let s = k - j. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51014042?\nAnswer: 2, 17, 1500413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*r**3 + 97 - 196 + 99.\nAnswer: -72*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 8. Let p = z + 4. Let q be (1 - -7)*(-2 + 5). Calculate the highest common divisor of p and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(3) + 0)**2 - sqrt(75)*1.\nAnswer: -5*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from kak.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4a7705a - -10?\nAnswer: -4a7704a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*u - 37*u + 1742004. Suppose -u = -5*q - 31*q. List the prime factors of q.\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(15\/20) - -7. Solve 3*z + 3 + q = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12964159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*o + 9, -o - 12 = 3*v + 2*o. Let b be 102\/21*5\/(-84). Let l = -1\/294 - b. Which is smaller: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 952 and 21172956?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 314*i + 4423. Determine q(-14).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1494 is divided by 409.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -866 (base 16) to base 2.\nAnswer: -100001100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -935, -2, -27, 2, 1, -3, -5 in descending order.\nAnswer: 2, 1, -2, -3, -5, -27, -935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*((y**(-1\/17)*y)\/y)\/y)\/y**18*((y*y\/y**2)\/y)\/y*y*y*y\/(y\/(y*y**(-17))) assuming y is positive.\nAnswer: y**(-579\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*r + 65 = 3*n, -3*r - 15 = 0. Suppose 19 = -3*x - g - 15, -x = -4*g + 7. Let m = x + n. Put 1\/11, 0.5, m in descending order.\nAnswer: m, 0.5, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3921 is divided by 1274?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22727 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172502 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 18. Let u be (-7 - -5) + o + 2 - -4. Suppose -3*i + u*i = 60. 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 j be (-11 + 4)*8\/(-28). Solve -j*a + 0*a = -5*x - 17, 2*x - 4*a - 6 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-273)\/5 - 3\/(-5). Let k = h + 81. Suppose 4*w - 63 = -r, -4*w + 83 = -2*r + 29. What is the remainder when k is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 64.97548mg?\nAnswer: 0.00006497548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -34123, -34141, -34159, -34177?\n\"Answer: -18*j - 34105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a week in seconds?\nAnswer: 20160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-460)\/(-115))\/(4*6\/(-138))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l - l + 7*l - 3)*(-71 + 387 - 2 + 265).\nAnswer: 1158*l - 1737","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -1, -2 in ascending order.\nAnswer: -2, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uiii when four letters picked without replacement from {d: 4, a: 5, i: 3, u: 1}.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*m + 17 = 3*f, 3*f = -2*m + 19. Let l = -0.05 + 0.02. Sort f, -1\/5, l.\nAnswer: -1\/5, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j**2 - j**2 - 4*j**3)*(-19*j + 12*j - 7*j) + 13*j**4 - j**2 - 8*j**4 - j**2 to a*j**2 + n + y*j**4 + c*j**3 + p*j and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17767 and 1417.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 117134 to the power of 1\/2, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 57714260519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(4\/12) - -8. Suppose -b*t - 182 = -5*h - 57, -2*h - 3*t = -50. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/3 - (1 + 1). Let b = 76\/115 - 6\/23. Put b, m, 2\/3 in descending order.\nAnswer: 2\/3, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -23. Let l be (-5 - w)*(-55)\/(-44). Let a(t) = -t - 1. Calculate a(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7538659 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: Which is the second smallest value? (a) 25\/3 (b) -2\/260713 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1117 and -6545516.\nAnswer: -6545516.1117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 159189598133?\nAnswer: -159189598132.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707076675?\nAnswer: 3, 5, 31, 33791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 41439*n + 456192.\nAnswer: -3*(n - 13824)*(n + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.4 + -4.5. Which is the second biggest value? (a) 0.5 (b) 14 (c) -2 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khwwkkkw. Give prob of picking 2 w.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*t - 7*t. Let o = 744 - 610. Suppose t*u - 138 = -5*d, 5*d + u = -0*d + o. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65812 (base 9) in base 12?\nAnswer: 21332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 4*i + 5, 17*i + 5 = 4*n + 20*i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 o when two letters picked without replacement from {o: 1, t: 5, w: 7}?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 14 = 17*r - 15*r, -r - 3*h + 2 = 0. Solve -2*u + r + 4 = -k, k - u = -8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009745 to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 188*o**4 - 791 - 446*o**4 - 387*o**4 + 130 wrt o?\nAnswer: -2580*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 - -1000100111?\nAnswer: 1000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3256471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -665 - -601. Let u be (-3)\/8 - 24\/h. Solve u = 4*r - 17 - 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36502 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 117*i**6*o + i**5*o - 12*i**2*o - 2*i*o - 17*o wrt i?\nAnswer: 14040*i**3*o + 60*i**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 5*c**3\/3 + 5*c**2\/2 + 16. Determine q, given that p(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 169 - 167. Solve -16\/3 - 1\/3*q**a - 8\/3*q = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 12 - 12)*(-1 - 1 + 3) + 2 + 1490*y - 2898*y + 1777*y.\nAnswer: 365*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.3. Let a be (-4 - 0)\/(-8)*0. What is the nearest to n in 0.1, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s**3 - 2. Let n(f) = 4*f**3 - 1143*f**2 + 3*f**3 - 3 + 1143*f**2. Calculate -6*m(t) + 4*n(t).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 60\/(-16) + 4 - 6\/(-8). Let l be 26 + -18 - (1 + (-2)\/c). Suppose -4*w + 7*w = l. Solve -w*n = -6*n + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2*q**3 - 4 + 3*q**3 + 1.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -107 + 112. Calculate the remainder when 11 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = n - 9, 4*v = 3*n + 5*v - 35. Suppose 12 + 8 = -5*s. Let x be 1\/s - 3\/n. Is -1 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 10) in base 9?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1437, -5706, -12819, -22770, -35553?\n\"Answer: n**3 - 1428*n**2 + 8*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -0 - 6. Let b(x) = 14*x + 0 + 6 - 1 - x**z - 6*x. Let h be b(7). Calculate the highest common factor of 84 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. Let i(r) = -5*r**3 - 2. Let k(n) = -11*n**3 - 5. Let y(x) = c*k(x) - 5*i(x). Is y(2) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - -19. Suppose -32 = q + n. Let y = -55 - q. Is y less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l**4 + 25*l**3 - l**2 - 88*l + 78. Let r(n) = -n**4 + 6*n**3 - n**2 - 22*n + 20. Let z(h) = 9*r(h) - 2*w(h). Suppose z(o) = 0. What is o?\nAnswer: -4, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 9*y**2 - 18*y + 12. Determine d(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5\/7 + 8*f**4\/7 + 10*f**3\/7 + 4*f**2\/7 = 0. What is f?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*q - 3*q + 5*q - 5*q to the form r*q + b and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (676\/16 + 2)\/42. Let v = 5\/8 - p. Let l = -0.54 - 0.06. Which is the third smallest value? (a) -0.2 (b) v (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 7\/9, -1, 73, 4, 0.4, -2\/105?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000144495 to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 + 64. Let d(u) = -6 - 5*u - 2*u**2 - 7*u**2 + 9*u**2 + u**j. Let t be d(3). What is the highest common divisor of 48 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42718633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22793 + 2347705\/103. Is 1 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 9.16. Let r = u - 0.08. Let l = -0.38 + r. Is l less than or equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -129545400 to the nearest 100000.\nAnswer: -129500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53452 = -5*i + 7*i. Suppose 0 = 4*l + 2*c + 210904, 5*l + 117895 = 5*c - 145735. Let g = l - i. What is g rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 - 64. Let r be v\/(-1)*(-11)\/(-121). What is the closest to 1\/11 in -4, r, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139416 by 1.\nAnswer: -139416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 251*b**3 - 4*b**2 + 7*b - 15227 wrt b.\nAnswer: 753*b**2 - 8*b + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5 (b) 0.3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - -6 - 1 - (-9 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 132*q + 13. Let o(z) = -6*z**2. Give o(x(l)).\nAnswer: -104544*l**2 - 20592*l - 1014","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 3, c: 3}. What is prob of picking 1 c and 1 w?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7)\/a**(-2\/7))\/(a**(-2\/3))**(1\/6) assuming a is positive.\nAnswer: a**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 - 4163*j\/2 + 1041.\nAnswer: -(j + 2082)*(2*j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2783, 3162, 3817, 4754, 5979, 7498?\n\"Answer: v**3 + 132*v**2 - 24*v + 2674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) 3 (c) -4 (d) -4.7 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-3)*-6)\/(3*(-19)\/(1482\/4)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 - 2*t + 7. Let i(d) = 3*d**2 + 3*d - 10. Let z(h) = -h**2 - 8*h - 7. Suppose -5*a + 9*a + 32 = 0. Let j be z(a). Give j*o(m) - 5*i(m).\nAnswer: -m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -112619, -1195, 2 in increasing order.\nAnswer: -112619, -1195, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 - 3*i + 8330. Does 70 divide f(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*t + 8*t - 10*t + 4)*((-1 + 5 - 3)*(-1 + 4 - 2) - 2 - 1 - 9) to z*t + c and give c.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29792631 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = 3*j. Let t(m) = -35*m - 125. Let o be t(-4). Suppose 0 = b - o*b - 5*b. Solve b = p + 2*n + 2, 4*p - j = 4*n - 9*n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71689231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 14 = 5*j + 7, 0 = j - h + 6 + 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**0)\/w*w)\/w**(4\/3))\/(w**(-9)\/w**(-7)))**(-30) assuming w is positive.\nAnswer: w**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -10. Let u be (x\/1 - -7) + (2 - 5). Solve 0 = -c - s + u, 2*c = -4*s - 0 + 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -6*r**5\/5 + 206*r**2 + 1030*r + 7524. Find the first derivative of k(c) wrt c.\nAnswer: -24*c**3 + 412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 63\/25*x**5 + 3*x**2 - 59\/15*x**3 - 49\/60*x**6 - 24 - 4\/5*x - 11\/40*x**4. Find z, given that q(z) = 0.\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*c - 133313*c**2 + 4*c + 134368*c**2 to k*c + r + m*c**2 and give m.\nAnswer: 1055","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*2\/(1 - -1). Let q = b - -5. Let d = 6 + 8. Solve -d = -k + q*w, -2*k + w + 7 = -0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 times 17045?\nAnswer: 1073835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l + r = 45, 5*l + 5*r + 30 = -0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1690, 13567, 45824, 108655, 212254?\nAnswer: 366815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1718 = -226*d + 221*d, -w = -3*d - 1670. Calculate the remainder when w is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*o - 356 + 1863, -i + o + 1525 = 0. Suppose 5*k + 676 = 5*w - 834, k + i = 5*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + z)*((0*z - z + 2*z)*(2 + 1 - 1) - 25 + 27*z + 25 + (-3 - 3 + 7)*(0*z + z + z)).\nAnswer: 31*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 48, 0, 0.2, -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 4 - 2*y + 10*y - 3*y. Let o be i(-4). Factor -8\/3*c**2 + o*c + 2\/9 - 32\/9*c**3.\nAnswer: -2*(2*c + 1)**2*(4*c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-4) + 3 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 659681.1 millennia?\nAnswer: 6596811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 417150 and 2100.\nAnswer: 5840100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 22 - -8) + 8\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**4\/4 - 2*p**3\/3 + 3*p**2\/2 - 4*p - 3. Let w(z) = -3*z - 15. Let o be w(-6). Is 7 a factor of i(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 23.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 14390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - (sqrt(70)\/sqrt(5) + sqrt(14) + sqrt(14)))*-5 + sqrt(1694) + sqrt(1694) + sqrt(1694)*2 + sqrt(1694))\/(6*5*sqrt(343)).\nAnswer: 13*sqrt(2)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ln when two letters picked without replacement from {n: 5, d: 1, j: 1, a: 1, l: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.67 - -35.33. Let b = n - 38. Which is bigger: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.05 - -0.05. Let b = 206 + -208. Let w = b + v. What is the smallest value in 4, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*h + 2657 - 257. Put -2, h, 1 in decreasing order.\nAnswer: h, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 6\/2)*2. Is 3*(1604\/12 - s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*h + 16 = -54, 3*g - 4*h = 194. Let k be (-2 - -3)\/((-3)\/(-201)). Let d = g - k. Which is smaller: d or 15?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 25*n + 192 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.030268519 minus -0.42?\nAnswer: 0.450268519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/(-1)*(-160)\/200.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 - 20*o**3 + 10*o**3 + 2*o**3 in the form b*o + i + k*o**2 + x*o**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 - -29. Let n = v - 3. Let b = n - -15. Round b to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19839422 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/1*(12\/(-3))\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4 = 0, -4*x - 3*h = -16 + 3. Suppose -x = -g - g. Suppose 0 = -4*d - 20, 2*s + d = -g*d + 11. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 37. Let t = j - -51. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 7*v**2 - v + 6. Suppose 21 = 5*p - 2*p. Let j = 9 - p. Let y(w) = -5 + 2*w - w**3 + 4*w**2 + 2*w**j - w. Calculate 5*c(g) + 6*y(g).\nAnswer: -g**3 + g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-10))**(6\/25) assuming l is positive.\nAnswer: l**(-54\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 1100 = 2*z, 45*w - 49*w = z - 535. Let g = -385 + z. Is g a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 2*t**3\/3 - 4. Let k = -9 + 4. Let o(f) = -9*f**2 - 5. Let m(n) = 5*n**2 + 2. Let a(p) = k*m(p) - 2*o(p). Give x(a(v)).\nAnswer: 98*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12024344211 + 20?\nAnswer: -12024344141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*n = 76, 6*x - 4*x + 2*n - 36 = 0. Let c(r) be the first derivative of -8*r**2 - 5*r + r + 6*r**2 + x. Calculate c(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55958320 to the power of 1\/4, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 3:45 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/631 and 14\/631.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1052 + -1035. Sort a, -4, -5, -1\/7.\nAnswer: -5, -4, -1\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + (28 + -116 - -22)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*((-14)\/(-336)*-3)\/((-43)\/1)?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 28*f**2. Suppose 15*z - 197 - 148 = 0. Let h(x) = -11*x + z*x - 11*x. Determine o(h(w)).\nAnswer: 28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -396*x + 1. Let t(h) = -1612*h + 5. What is 18*m(w) - 4*t(w)?\nAnswer: -680*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4442.92207 rounded to 1 decimal place?\nAnswer: 4442.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.143109 times 4?\nAnswer: -0.572436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29680806*l**4 - 615657*l - 22 wrt l?\nAnswer: 356169672*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(200) + (sqrt(200)*-2 + -4 - sqrt(200))))**2 - (4*(sqrt(242)*-2)**2 - (((sqrt(242)*1 + sqrt(242))*3 - sqrt(242))**2 - sqrt(242) - sqrt(242))).\nAnswer: 5738*sqrt(2) + 31554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.77 - -0.07. Let d = -1.2 - h. Which is the second smallest value? (a) -3\/7 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 123, 247, 425, 669, 991, 1403?\nAnswer: 1917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**2 + 3 + 5*y**2 + y - 3 - 1. Let b be s(-2). Let n be ((-3 - -2)*0)\/b. Solve -8*u = -4*u + 2*g + 16, n = -g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 10055700?\nAnswer: -1\/2011140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 times 246762\nAnswer: 51820.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*r - 258, 5*r - 312 = -3*k - 74. Let t(n) = 10*n + r - n**2 - n - 56. Give t(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8558.3 decades to millennia.\nAnswer: 85.583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4 (b) -2\/5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2805360 + -2?\nAnswer: -2805362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**3 - 2847301*p**2 + 7*p - 27154?\nAnswer: 6*p - 5694602","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 5252 = -7*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/7 - 7\/(-49)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19905, -19913, -19931, -19965, -20021, -20105, -20223?\nAnswer: -20381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five eighths of a day?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -63, -54, -35, 0, 57, 142, 261?\n\"Answer: n**3 - n**2 + 5*n - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 143189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 864217733 a multiple of 400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, d: 8, t: 4}. What is prob of sequence vttt?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -n, -11*r + 4*n = -9*r + 4. Solve 2*o + 2 = 5*u, -r*u - 4 = 5*o - 32 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*q - 8 + 341 + 72 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -6*o + 32. Let n(l) be the third derivative of 0 + l**3 + 1\/60*l**5 - 3\/8*l**4 + l**2 + 42*l. Give n(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -19.63?\nAnswer: -14.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + a + 10414 = 0, -6*o + 3904 = -3*o - a. What is the greatest common factor of 378 and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 + 3*l + 21. Let f be p(-4). Let k be (204\/(-16))\/17 - f\/4. Solve k*u = -2*v - 4, 5*v - 4*u - 23 = -0*u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**0)\/v))**(-38)*v**2*v**7*(v\/v**(11\/4)*(((v**10\/v)\/v)\/v)\/v)**(2\/11) assuming v is positive.\nAnswer: v**(-621\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 68 = -14*v. Let p be -28 + 0*2\/(-10). Let o = 27 + p. Sort v, -3, -5, o in decreasing order.\nAnswer: o, v, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -476 + 494 = 9*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 19*p = m + 223, 4*p = -5*m + 229. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -23*y**4\/24 - y**3 + 20*y**2 - 32. Let f(i) be the second derivative of b(i). Does 6 divide f(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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 d = 0.101 - -0.099. Which is the nearest to d? (a) 4 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 297. Let r(u) = -22*u**2. Give r(k(s)).\nAnswer: -22*s**2 + 13068*s - 1940598","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + a + 2. Let j be o(2). Suppose j = -2*n - 3 + 13. Suppose -5*x = 10, 3*x - 34 = n*y - 10*y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9135 + -9135.3. Which is the closest to -2\/7? (a) 5 (b) 4\/3 (c) x (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.176763 months in years?\nAnswer: 0.76473025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -203*l*w**2 - 114*l*w + 73*w**3 + 34*w wrt w.\nAnswer: -406*l + 438*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7451 (b) 36 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 9*d + 1503 = 3*a, 5*d = -2*a - 1896. What is the smallest common multiple of 6 and 10\/3*d\/(-70)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2439*t + 5 + 2439*t - 20*t**2.\nAnswer: -20*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 6. What is the third derivative of 13*k**6 + 9*k**2 + 39*k**d + 17*k**2 wrt k?\nAnswer: 6240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*s + 4, -2*k + 3*k - 5*s = 2. Let c(p) = 13*p - 10. Let i(g) = 20*g - 15. Let h(t) = 8*c(t) - 5*i(t). Let y be h(5). Solve y = -k*f - f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 61, 134, 233, 358?\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -3*p + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 360749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.202 + 0.098. Let a = -4 + q. Let s = -0.7 - a. Which is smaller: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1619?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7*c**2 - 390*c + 2696. Calculate d(7).\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.03 - -13. Let g = l - 0.07. Which is the nearest to 1? (a) 2\/11 (b) g (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 7:31 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 6*g - 5. Let u = -110 + 116. Give i(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.4, 13, 0.2, -337, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -110*a**3 + 371*a**2 - 5*a - 5. Let u(y) = -55*y**3 + 186*y**2 - 3*y - 3. Let f(o) = -3*d(o) + 5*u(o). What is the third derivative of f(p) wrt p?\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -10553.\nAnswer: 20\/10553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i. Let v be ((-2)\/(-4))\/((-1)\/(-4)). Let a(x) = -4 + 4 - 2*x**2 + x**v. Determine a(j(w)).\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -135417*l**5\/20 - 5*l**4\/24 - 2*l**3\/3 - 4*l**2. Let z be c(-4). Round z to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79695110.\nAnswer: 2, 5, 11, 31, 23371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 302757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -7 + 23 + -6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 4*w + j + 5 = 0, 5*w - 7 = j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 114528 + 287645 = 0. List the prime factors of q.\nAnswer: 61, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 3 (c) 130 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84*d**5 - d**4 - 2*d**2 - 20*d wrt d.\nAnswer: 5040*d**2 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42\/10 + (-2)\/10. Suppose 0*g - 145 = -d*t - 5*g, 0 = -t + g + 43. Suppose -2*a + 4*m = 0, -a + 2*m = -4*a + t. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 2, 4, -4.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c6 + 1?\nAnswer: -3c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/173 in 1, -2, 5, 4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*k - 2\/7*k**2 + 4\/7.\nAnswer: -2*(k - 2)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.98 (b) -716\/5 (c) -2 (d) -4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 112\/(-672) - (-1)\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 4*z + 11. Let t be q(5). Let o = 13 - t. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37039586.\nAnswer: 2, 18519793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/8 + 30\/80.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3 - 1410*z**2 - 52164*z - 143856 = 0.\nAnswer: -666, -36, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a day in minutes?\nAnswer: 6120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9077 + 1752*f - 219*f - 9077 in the form m*f + y and give m.\nAnswer: 1533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -25. Suppose 0 = -4*t + i + 87, -o*t + 14 = 3*i - 19. Calculate the highest common divisor of 28 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 247 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 - 25 = 2*l. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 10:57 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4\/2 - 6175*r**3\/2 + 2570205*r**2\/2 - 371882005*r\/2 + 2359670005.\nAnswer: 5*(r - 407)**3*(r - 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -49770, -49769, -49768?\n\"Answer: g - 49771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3.42, 3, 3377.1 in decreasing order.\nAnswer: 3377.1, 3.42, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(4*r - r - r) + 108*r - r - 35*r + 4*r - 5*r + 0*r.\nAnswer: 73*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 5*r**2 + r - 6 + 0.\nAnswer: -5*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2517845154 or 2517845153?\nAnswer: 2517845153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3207163?\nAnswer: 79, 40597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 4. Let z be (6*(-6)\/4)\/f. What is the second derivative of m**3 + m - 6*m**3 + 4*m**3 - 7*m**z wrt m?\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x - 7. Let c be y(-5). Let v be c*(-4)\/(-3)*-1. Let w = -117.5 - -118. Sort v, w, -2.\nAnswer: v, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) 0.2 (c) 1.78 (d) 5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43135764 and 621?\nAnswer: 388221876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 10:17 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from ssshhhthhhhtssh?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (190\/627)\/(54\/99)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*u**3 + 65*u**3 - 7*u**3 + (3*u + 3*u - 4*u)*(8 - 8 + 2*u**2) to b*u**2 + f + g*u**3 + h*u and give g.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2537395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, b: 1, m: 4, w: 1, n: 1, l: 4}. What is prob of picking 2 m, 1 y, and 1 b?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 1:36 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, v: 1, o: 1, m: 4, h: 2, s: 3}. What is prob of sequence hmqo?\nAnswer: 7\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7642.999994803 + 7643. Round o to seven dps.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543442 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*r**2 - 3*r**2 + 8 + 2*r**4 - r**2 with respect to r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 13*o - 2. Let w be l(-13). Let i(h) = 2*h**2 - 2. Give i(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-4 - (-6 + 3))) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 11:25 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4507200 rounded to the nearest 10000?\nAnswer: 4510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*y + 460. Let s = -75 + y. Suppose 6*r - s = r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2*v)**46*(v**0)**(-2\/39)*(v**1)**(1\/19)\/(v*v*v*v\/(v*v**2))**34 assuming v is positive.\nAnswer: v**(1977\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 51. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**2 + 7*z. Let j(u) = 2*u**2 + 3*u. Calculate -6*h(p) + 13*j(p).\nAnswer: 2*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 648 and 660.\nAnswer: 35640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z + 3*z - 6*z)*(-2 + z + 3*z**2 + 0*z - 2*z) as y + m*z**2 + c*z + r*z**3 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -k + 20. Let y(c) = 4*c + k*c + c - 6*c. Give y(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 902 = f + 1450, -i + f + 588 = 0. Let m = -186 + i. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*u + 14, 2*m - 21 = 5*u + 4. What is the second derivative of 0*b + 16*b**m + 10*b**5 - 2*b wrt b?\nAnswer: 520*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -8*c + 1748. List the prime factors of c.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/21)\/((-1)\/18). Let j be (d + -5)\/(3\/12). Let u(i) = i**3 - 3*i**2 - i - 3. Give u(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.93, -3, -0.3 in ascending order.\nAnswer: -3, -0.3, 8.93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000110 + -10?\nAnswer: 110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 1)*8\/2. Let u(a) = -a**2 + 4*a - 2. Let f be u(5). Let o(w) = w**3 + 7*w**2 - w - 5. Let x be o(f). Sort g, x, 0 in ascending order.\nAnswer: g, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-2*sqrt(114) - sqrt(114)) + sqrt(114)) - sqrt(114))\/(sqrt(216)*-1 + sqrt(6)).\nAnswer: 7*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13104 divide 401781744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -139774 (base 10) to base 9.\nAnswer: -232654","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 15 = 0, 3*g + 2*c + 61 = 73 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 23 = -5*k, 155*l + 26 = 160*l + 12*k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -232, 4, -51, 5 in ascending order.\nAnswer: -232, -51, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, l: 1, y: 2, m: 1, b: 2, s: 1}. What is prob of picking 1 s, 1 l, and 1 m?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -33. What is the units digit of 832\/s - (-10)\/55?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-35))\/(34\/85).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -540078852 smaller than -540078852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 227\/8 and 29 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 92*v**2 - 83*v + 917. Calculate the remainder when l(-91) is divided by 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, w: 12}. Give prob of sequence yyyw.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1*y)**(2\/7))**(-48)\/(y**4\/y**(-6\/5)*y*(y**(-7)*y)\/y*y\/(y\/(y**6*y*y))) assuming y is positive.\nAnswer: y**(-1212\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/35 in 1, 8\/19, -1\/6, 5, -1\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + 17095*b - 17095*b.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -29. What is the remainder when 14 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**5 + 4*r**5 + 4*r**5 + (2*r**4 + 12*r**3 - 12*r**3)*(-r + 2*r + 3*r) + (-3*r + 8*r**5 + 6*r - 12*r**5)*(-2 - 1 + 4).\nAnswer: 7*r**5 + 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514243672.\nAnswer: 2, 521, 123379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 843, 1023, 1201, 1377?\n\"Answer: -f**2 + 183*f + 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16190 and 8?\nAnswer: 64760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 198924 = -2*q, 0 = 5*c + 24*q - 20*q - 248694. Is c a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -2\/47795, -3 in increasing order.\nAnswer: -3, -0.06, -2\/47795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((-400)\/4) - (-23)\/230.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 330\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 119*w**3\/6 - 193*w. Let z(p) = 5*p**2. Calculate z(t(q)).\nAnswer: 70805*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -999512*m - 9995134. Determine x(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 98624*b - 98736*b + 8176 for b.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 84*l**2 + 36*l + 643. Give s(0).\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -7*k - 19. Let x be (160\/48)\/((-4)\/6). Let m be f(x). Solve 4*a + m = 0, -5*g + a - 9 = -3*a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**5 + 19335*c**4 - 346595*c**3 + 710085*c**2 + 7618600*c + 9314580 = 0 for c.\nAnswer: -2, 11, 3849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 + 178*b**2 - 44*b + 4028. Give u(89).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*a - 159. List the prime factors of a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q**3 + 3*q**3 + 7*q**3)*(1 - 6 + 3) - 22*q**3 + 44*q**3 - 7*q**3 + 69*q**3 as k*q**3 + f + v*q**2 + s*q and give k.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 411, 30, 0 in descending order.\nAnswer: 411, 30, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-10)*38\/((-5928)\/(-1170))?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44? (a) -0.09 (b) -0.4 (c) -5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2361*h**3 + 23*h**2 - 36*h + 5. List the prime factors of s(2).\nAnswer: 18913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -14031397*q**2. Let j(m) = 2*m. What is c(j(r))?\nAnswer: -56125588*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 16. Suppose c - s = -0. Solve -4*u = -5*d + 22, d + c - 12 = 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -748.6 - -748.5. Which is the closest to f? (a) 5 (b) 1.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1546274663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002182 to 4 dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 36, 2, -5, 1 in descending order.\nAnswer: 36, 5, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15954608 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -21. Let o = 10 + y. What is the biggest value in o, -3, -2\/17?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.6 - 71.6. Let g = -52.17 - q. What is g rounded to one dp?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 22*o**2 + 1\/132*o**4 + 0 + 1\/330*o**5 - 2\/33*o**3 + 0*o. Suppose d(l) = 0. What is l?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*j - 2*x, -3*j - 2 = -4*x - 26. Suppose -4*b - b - 4*k + 27 = 0, -18 = -2*b - j*k. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j - 7 + 2*j + 11*j. What is the remainder when 48 is divided by c(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u - 2*u + 9. Let f(s) = -25*s - 1. Give f(u).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 8 - 1)*(-h + 6 - 6)*(-2*h**2 - 2*h**2 + 2*h**2).\nAnswer: 26*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24 + 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 4*k**2 - 3*k + 13. Let f be u(-5). Solve -3*y = -f*c, -5*c - 4*y = -c - 40 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 5*w + 4726, -3*s + 4*w + 13062 = -1116. List the prime factors of s.\nAnswer: 2, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 205937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 + 7*s + 5. Let c be d(-5). Let y be c\/(-35) - (-4)\/(-14). Suppose -y*b + 4*b - 30 = 0. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -789*u + 123*u - 944*u + 296500 - 296500.\nAnswer: -1610*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 0*r + 0 + 17\/21*r**3 + 1\/140*r**5 + 42*r**2 - 53\/168*r**4. Factor t(m).\nAnswer: (m - 17)*(3*m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -4.927 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-4) + (-18)\/24. Suppose 3 = 2*r + w. Is (-13)\/(-2)*(13 + r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2 - 16*q + 21*q - 11*q. Let f be k(-1). Let n(d) = d**2 - 2*d - 4. Calculate the remainder when 4 is divided by n(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - 2*i - 4 + 4 + (2*i + 0 + 0)*(3 - 2 + 1) + 0*i - 2*i + 3*i.\nAnswer: 3*i - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 4 + -12 - (-3 + 3) - -6. Solve s = -4*q + 8 + 12 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41741 + 63741. Round w to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -1\/60*c**5 + 0 + 0*c + 2\/3*c**3 + 15*c**2 - 1\/24*c**4. Calculate t(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18394062, 36788123, 55182184?\n\"Answer: 18394061*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o - 2. Let d(u) = -2*u**2 - 285*u + 1922. Let b be d(-149). Determine m(b).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 14. Let x be r(8). Let p(v) = v**3 + 7*v**2 + 8*v + 9. Give p(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 324906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide (-17478)\/(-24) + -2 + -1 + 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/14 - ((-5646)\/42 + 2). What is the second derivative of 81*x + 29*x + c*x**2 - 200*x wrt x?\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2476 from 0.5.\nAnswer: -2475.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 3*a**5\/10 + 5*a**4\/6 + 25*a**2. What is the second derivative of y(k) wrt k?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(80))\/(sqrt(11) + sqrt(22)\/sqrt(2)*5).\nAnswer: sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1800, -1783, -1754, -1713, -1660?\n\"Answer: 6*m**2 - m - 1805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 6:22 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -22. Let s = v - 9.2. Let c = 3.79999953 - s. What is c rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 6*q + 32 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 110*x - 33 = -115*x, 8*u + 4*x - 4 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 3, -1, -33?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b**3 - 2*b**2 - 4*b + 3. Let m(y) = -y**2 + 11*y + 15. Let l be m(12). Let n be j(l). Let r = 237 - n. List the prime factors of r.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1088378633 to the nearest integer?\nAnswer: 32991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f + 64 - 138 + 2*f + 74. Let o(s) = -2*s - s + 4*s. What is p(o(y))?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 14*s - 3. Suppose -c - 4*t + 30 = 0, -2*c - 2*t + 60 = 3*c. Calculate the remainder when 73 is divided by a(c).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 3921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 2*n**2 - 6*n - 79. Calculate f(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120925241 to the power of 1\/2, to the nearest integer?\nAnswer: 10997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2472829 is divided by 4529?\nAnswer: 4524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1089 and 3546?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 20*j + 19. Let l(t) = 7*t + 7. Let v(p) = 3*c(p) - 8*l(p). What is v(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43814127641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66303798 is divided by 100.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3, -1\/2, 5, -143, -2\/5 in ascending order.\nAnswer: -143, -9, -3, -1\/2, -2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.9 - -32.4. Let w = u - 40. What is the nearest to w in -0.1, -3, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1096420 by 1096420.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -261533 (base 8) to base 13.\nAnswer: -3253a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, 0, 0.5, 4, 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 2*b**2 - 2*b - 1. Let s be y(-1). Suppose 29*k - 626 = -191 + 174. Calculate the lowest common multiple of k and s - (-18 + (0 - 0)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384461 is divided by 93.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -570 - -574. Suppose -5*m + 3*y = -2105, -4*y - 804 = x*m - 2456. Is 22 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 27 + 9. Calculate the smallest common multiple of 22 and q.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2419 = r + 5*x + 2364, 0 = -3*r + 4*x - 0*x - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 + 3 - 1359*p**3 + 1359*p**3 - p - 2*p**4 as c*p**2 + x*p**4 + t*p**3 + i*p + l and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.56 - 19.56. Which is smaller: -56 or u?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3667793861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 14*i**2 + 15*i - 80. What is the least common multiple of v(16) and 672?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3484 is divided by 1234.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3076857138?\nAnswer: 2, 3, 29, 17683087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 8\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1316 and 125146.\nAnswer: 11763724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4931524476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -7*b**2. Let i(t) = -70*t**2 + t + 138. Calculate i(y(c)).\nAnswer: -3430*c**4 - 7*c**2 + 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 9*i + 22. Let g be m(-4). What is the lowest common multiple of (-88)\/g + (-4)\/14 and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 8 - 6 = -g, 0 = -4*g + 5*b + 23 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1572 or 1570?\nAnswer: 1572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 10:22 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v - 66*v - 31*v - 27*v as d + i*v and give i.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 153?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.1 (c) -3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 5:00 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/88 and -61\/14744?\nAnswer: 162184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-1224)\/54*2\/10)\/((-2442)\/(-2035))\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = 5*d + m, 5*m - 2*m = 5*d + 99. Let u be ((-4)\/(-3))\/(14\/d). Let t = u + 11. What is the highest common factor of 36 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19500 and 1511250?\nAnswer: 3022500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18992 divided by 1?\nAnswer: 18992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7605 divided by -1521?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*z + 454*z - 4599 - 612 = 0 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q - 51. Let b(c) = 11*c - 101. Give -2*b(k) + 5*f(k).\nAnswer: 3*k - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*y - 2*d - 9, 0 = -2*y - 3*d - 20. Suppose t = 52 - 13. Suppose -2*u = -5*z - 10 + t, 0 = -u + z - 7. Do u and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 43*u. Calculate the remainder when w(1) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7}. Give prob of sequence uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -362.12 + 362.52. What is the second smallest value in -5.5, 3, -0.7, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*o = 8, -11 = -5*l - 5*o + o. Find the second derivative of 2*a**3 + 2*a + 3 - a - l wrt a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 5*s - 7. Let t be u(8). Suppose 10*d - t*d = -322. Calculate the remainder when d is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 860*q = 878*q - 1494 for q.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**2 + c**2 - 5*c**2 + 0 + 2 - 6*c. Let p be j(6). Suppose -p*t = 11905976 + 1494024. Round t to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1*1*-1)\/(-29 - -30). Let g(h) = 4256*h**2 + 3*h - 1. Let d be g(y). Suppose 4016 + d = 6*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 106450417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*x, 4*k + 2*x - 7*x = 81. Find the second derivative of -49*w - k + 143*w - 39*w**3 - 48*w - 47*w wrt w.\nAnswer: -234*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s - 2*s**2 + (7*s - 3*s - 3*s)*(2*s - 6*s + 3*s) + 2*s**2 - 2*s**2 - 2*s**2 - 3*s**2 - 2*s**2 + 4*s**2)*(1869*s - 60*s**2 - 1869*s).\nAnswer: 360*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**3 + 6*r**3 - 20*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 8) to base 9\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6 + 7 + 2*a**2 + 4*a**2 + 2*a. Let k be z(-1). Suppose -18 = k*j - 63. Solve 4*s + j = s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111000100100101 (base 2) in base 8?\nAnswer: 70445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2432993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 90 = 5*h - 80, h + 4*q = -2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22038 is divided by 127?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-11\/3))**(-5) assuming b is positive.\nAnswer: b**(55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times 24189\nAnswer: 1693.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3 = -2. Let w(g) be the first derivative of g**3\/3 + 3*g**2 - 3*g - 1. Let r be w(-7). Sort 1, y, r.\nAnswer: y, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 6*t - 3. Put 2\/15, t, 0, 0.04 in increasing order.\nAnswer: t, 0, 0.04, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1861 is divided by 105.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*s + 4*s - 4, 0 = -2*s + 4*p - 4. Find the third derivative of 3*z**3 - 3*z**3 + z**s + z**3 wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 469506260 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1115, -1555, -1989, -2417?\n\"Answer: 3*j**2 - 449*j - 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12448*42.\nAnswer: 522816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1*2*4505\/170.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-1217098.\nAnswer: 121709.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438926961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/268 and 25\/8.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.07 - 3. Let n = w - 0.07. Put -5, 3, n in increasing order.\nAnswer: -5, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1)*i)**(-21)*i**(-2)\/(i*i*i**(-2\/7)))**(-22) assuming i is positive.\nAnswer: i**(3806\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 2:19 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8361, 16380, 24399, 32418, 40437, 48456?\n\"Answer: 8019*b + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(171) + 1*sqrt(171) + -3 + -5 + (1 + sqrt(171) + sqrt(171) - sqrt(171)) + sqrt(171) + sqrt(171) + 2) + 1 + -4)**2.\nAnswer: -660*sqrt(19) + 17221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 376501272 divided by -771519.\nAnswer: -488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12310*j - 8*j**2 + 12304*j + 128*j**2)*(-8 - 2*j + 2 + 8).\nAnswer: -240*j**3 + 252*j**2 - 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-48)*(-4)\/(-5))\/(125\/(1000\/(-123))).\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 4*d + 17. Determine f(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35 and 10\/65529353.\nAnswer: 65529353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-78)\/(-4) + (-5)\/(-10) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)*i)\/((i\/(i*i**(2\/25))*i)\/i))\/(i\/(i*i\/(i**1\/i)*i)*i**(-1\/8)\/i)*((i\/(i**(1\/4)\/i))\/i)**(1\/2)\/((i**(-1)*i)\/i)**(21\/8) assuming i is positive.\nAnswer: i**(1041\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a - 192 - 200 + 392. Let d(o) = 87*o**2 + o. Determine d(k(s)).\nAnswer: 348*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 8762 - 7188 = 0. Calculate the highest common divisor of j and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 11:42 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 8110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.17 - -53.33. Let n = v + -56. Put n, -5, 1 in decreasing order.\nAnswer: 1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + -192\/5. What is the biggest value in p, 0.1, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 3*f**4\/32 - f**3\/8 - 27*f**2\/16 + 27*f\/8 + 269. What is p in g(p) = 0?\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -4*k + c, -76 = -0*k - 2*k - 3*c. Suppose -3*z - 3*n + 99 = -0*z, 0 = z + 3*n - 35. What is the greatest common divisor of z and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*i + 22. Is -11 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*1*6)\/(-5*sqrt(9)*4) + 5.\nAnswer: -3*sqrt(7)\/10 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + i - 1, -w - i - 1 + 2 = 0. Suppose -20 = 5*n, 5*j = 7*n - 6*n + 14. Suppose w + 2 = j*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1934*i**2. Let j(v) = 452*v**2. What is d(j(k))?\nAnswer: 395123936*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4545 and 499530345.\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 5*p - 1. Let t be c(-4). Let g = 13 + -9. Let z be (g - t)*(11 - 4). Solve 2*a - z*j + 3*j = -22, 0 = -3*j + 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q + 5*q - 5*q)*(5*q - 9*q + 18*q) + (3 - 1 - 1)*(6*q**2 + 8*q**2 - 9*q**2) to the form o + h*q**2 + b*q and give h.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -161 or -30?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 10:39 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 20*y = -112, -l + 9*l - 8*y + 8 = -0*l + 4*l for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 4\/9, 5, 1, 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 - (0 - 2) - (-953 + 952))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 260485361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-753)\/(-139305))\/((-1)\/30)\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(425)*-3*3)**2 + -4).\nAnswer: -103263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 + 19*m**2 + 16*m**2 + 47*m**3 - 40*m**2.\nAnswer: 47*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**4*t - 80*n**2*t + 112*n + 6*t wrt n.\nAnswer: 24*n**2*t - 160*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 + 17*i**2 + 9*i - 7. Let u be v(-8). Let y be ((-105)\/28)\/u - (-79)\/4. Solve -y*q + 16*q = 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 - 48. Suppose -2*t + 1 = -3*o, 3*t - 5*t = -2*o - 2. Suppose 5*a - t = -2*g + x, -g + 3*a + 22 = 0. Solve 4*q - 2*b = 0, -q - 2*b = 3*q + g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 206985614 or 206985615?\nAnswer: 206985615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**4 - 2*b**4 + 4*b**4)*(-287 + 392 + 1155 - 3*b).\nAnswer: -6*b**5 + 2520*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iigvgmvlsglvggglvsv. Give prob of sequence im.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(720) + -1) + -1 + sqrt(40)\/sqrt(72))**2.\nAnswer: -1432*sqrt(5)\/3 + 160349\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17266?\nAnswer: 2, 89, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8920267 is divided by 4964?\nAnswer: 4923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.2, -1, -4\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-8)\/(c*c**3) assuming c is positive.\nAnswer: c**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1072 - 480. What are the prime factors of l?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 127. Let q be (-4)\/(-18) + (-176)\/t. Let b(h) = 2*h**q - 2*h**2 + 5*h**2. Let z(u) = 2*u**2. Give z(b(r)).\nAnswer: 50*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -44*k**2 + 221*k + 1897. Determine c(-7).\nAnswer: -1806","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 294 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12233 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = h - 11, -4*h + b + 934 - 870 = 0. Let r = 193 - 89. Calculate the remainder when r is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1366*i**3 + 5949*i**3 - 2940*i**3 + 7275*i**3.\nAnswer: 11650*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 12:55 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -338 - -129. What is t rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.3, 154, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1833296 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/12)\/((-1)\/2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o = 3*o + 63 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156896760 divided by -5.\nAnswer: 31379352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -794, -1590, -2386, -3182, -3978, -4774?\n\"Answer: -796*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3872, 7730, 11552, 15320, 19016?\n\"Answer: -3*o**3 + 3879*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26381165.\nAnswer: 5, 5276233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -6. Let g(j) = -4*j**3 - 3*j**2 - j - 2. What is the smallest common multiple of 12 and g(l)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1839410456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1016 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.9 and 25.\nAnswer: 72.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -15?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 19300 divided by -6\nAnswer: -9650\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f - 45*f**3 - 43*f**3 + 87*f**3 - f - 8*f**4 + 2*f**2 to the form l + a*f**3 + x*f**4 + v*f + s*f**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6805 + 61241\/9. Which is the fifth smallest value? (a) 3 (b) -1 (c) -600 (d) r (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + z**2 - 2*z + 1. Calculate the smallest common multiple of v(1) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23330438?\nAnswer: 2, 79, 147661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**3\/2 + 4476505*x**2\/2 + 1492169*x = 0. Calculate x.\nAnswer: -2\/3, 0, 1492169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-75))\/((12\/(-5))\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -136 - 355. Let v = z + 724. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 223*p + 5619. Calculate u(29).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l. Let z(s) = 1098803*s**2 - 3. Give r(z(h)).\nAnswer: 1098803*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**3 - 332*w**2 + 216*w + 466. Let c be k(110). Calculate the greatest common factor of c and 3679.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1759 - 82.4759. Let r = 82 + v. Which is the second smallest value? (a) r (b) 0.5 (c) -4 (d) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**5 - 422448*j**4 - 22311168216*j**3 - 356855347136*j**2 + 802958746752*j = 0.\nAnswer: -105604, -18, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 11*x - 77, 0 = -597*k + 595*k + 2*x + 18 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 8*p + 0*p)*(-2 - 4 + 3)*(-7*p**4 - 3*p**4 - 8*p**4).\nAnswer: 486*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/3)\/o*o)\/o)\/(o**1*o*o*o*o))\/(o*o**0)**(-2\/31) assuming o is positive.\nAnswer: o**(-521\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 2*o - 38997 + 38985 = 0, -4*b + 27 = o for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 190 = 2*s - 2*d, 189 = 3*s - 3*d. Calculate the lowest common multiple of s and 48.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 9, -3, 66 in descending order.\nAnswer: 66, 9, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(21)\/sqrt(3)) - sqrt(6)\/sqrt(8) - (3*sqrt(48) - 4*(sqrt(3) + sqrt(12)\/sqrt(4))))**2.\nAnswer: 147\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(425) + 4 - ((0 + sqrt(425) + sqrt(425))*-2)**2 - (((sqrt(425) - (0 + 5*sqrt(425) - sqrt(425))) + sqrt(425))**2 + -2)).\nAnswer: 30*sqrt(17) + 25482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**5\/5 - t**4\/12 - t**3\/3 - t**2 + 2*t. Is 15 a factor of r(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*v**4 + 2*v**5 + 29*v**4 + 2 - 2*v**3 - 13*v**4 + (-47 + 47 - 17*v**2)*(-4*v**3 + 0*v**3 + 2*v**3).\nAnswer: 36*v**5 - 10*v**4 - 2*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 921*a - 10267. Determine w(11).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165746 + 115.96557.\nAnswer: 165861.96557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0503177672 to five decimal places.\nAnswer: -0.05032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-6))\/(-1)*(-12)\/(-54)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1824446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*t - 11 = 9, 2*n - 4*t = -18. Let q = 3 - n. Suppose 7 = q*s + 3. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-7 + 1) + -1. Let c**2 + 8*c**3 - r*c**3 - c**2 = 0. Calculate c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1169587*s*y**4 + 2*s*y**2 + 195*s + 1762*y**2 wrt y.\nAnswer: -28070088*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 282612736 a multiple of 1792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11210373619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 6*h**5\/7 - 348*h**4\/7 - 114*h**3 + 636*h**2 + 13536*h\/7 + 8640\/7 = 0.\nAnswer: -3, -2, -1, 4, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -286 + 270.4. Let s = -16.1 - p. Put s, -7\/2, 3, 1 in increasing order.\nAnswer: -7\/2, s, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131846406 divided by 386\nAnswer: -341571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t**2 - 22*t. Suppose -29*b = -28*b - 4. Let m(y) = -3*y**2 + 8*y. Let f(z) = b*u(z) + 11*m(z). Let i(o) = -16*o + 3. Calculate f(i(a)).\nAnswer: -256*a**2 + 96*a - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -19*n**3 + 2*n**2 + 4*n + 2. Is m(-2) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-two fifths of a week?\nAnswer: 84672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 0.4 (c) 0.5 (d) -312\/5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 7 = 2*s + 1, 2*s = 3*i + 6. Is (-15)\/(-3) + 555 - i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12\/4745 - -174989\/227760. What is the common denominator of (-20)\/(-6)*39\/(-64) and h?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 262\/(-810) + (-3)\/(-15) and -4\/27?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 15*j + 32. Let k be o(-16). Suppose 29 - k = u. Solve 2*h = -u + 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5155.73 - 72.6.\nAnswer: 5083.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2178) + -1)*2.\nAnswer: -2 + 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (9 + (-3 - (-9 + 7))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*s - 21*s = 14*s - 625 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s - 3*s + 2*s + 7*s**2 + 0*s - 4. Let p(c) = 4*c**2 + 3*c - 2. Let w(y) = 10*p(y) - 6*u(y). Find the first derivative of w(r) wrt r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(2 - (-54)\/(-4)). Let j = 2 + -2. Let t be (5\/1)\/(j + -1). What is the biggest value in z, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, -1\/4, 1\/16751, 0.11.\nAnswer: -1\/4, -2\/19, 1\/16751, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence niaa when four letters picked without replacement from iaaniian.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 5*b - 22. Calculate z(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 t when two letters picked without replacement from wowotoootwowottooww.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 92720981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 - 174\/(-18))*1*3. Let j(r) = -4*r**3 - 5*r**2 - r + 7. Let n(t) = 2*t**3 + 3*t**2 + t - 4. What is c*n(x) + 3*j(x)?\nAnswer: -2*x**3 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56908*w - 2340 = -56973*w for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1545 and 161195.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -4 - 12) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) + sqrt(104)*2)*6 + sqrt(104))\/(sqrt(128) + sqrt(128) + (sqrt(128) - (sqrt(128) - (2*sqrt(128) + sqrt(128))))))**2.\nAnswer: 4693\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 5:41 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 65746.8 litres in millilitres?\nAnswer: 65746800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 290 = -2*i, -8*i = -3*w - 3*i - 443. Let t = w - -989\/7. Which is the closest to t? (a) -0.4 (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, m: 1, q: 1, x: 6, b: 1}. What is prob of sequence ml?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, 21, 3, 4 in ascending order.\nAnswer: -4, 3, 4, 9, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27134946, -27134944, -27134942, -27134940, -27134938?\n\"Answer: 2*o - 27134948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 9. Let x(u) = -u**3 - 7*u**2 - 4*u + 4. Let a be x(-6). Let d be r(a). Let n = 3 - d. Solve 3*w - 1 = -2*c + c, -n*w = -4*c + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2695, 2693, 2691, 2689?\n\"Answer: -2*o + 2697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-2))\/p)\/p**(11\/3))\/(p**3)**(-1\/9) assuming p is positive.\nAnswer: p**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(210\/10))\/(((-588)\/96)\/(-7)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*r - 64 = -4*k + 109*r, 3*k - 96 = 3*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/23))**(-3\/2) assuming a is positive.\nAnswer: a**(-63\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 4:45 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4622992 is divided by 539?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126 - -1862. Is p a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15*4\/(-54))\/(-2 + -5 + 286\/39)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 440878\nAnswer: 3\/440878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6650 by 665.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34392 less than or equal to 34393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**3\/9 - 3824*u**2\/3 - 11470*u\/9 = 0.\nAnswer: -5735, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4117 - 4121. Let h = 1038\/7 + -148. Put u, 4, h, -5\/2 in ascending order.\nAnswer: u, -5\/2, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**4 + 2*f**3 - 80*f**2 - 12*f + f**4 + 80*f**2 wrt f.\nAnswer: 24*f**2 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 288 = 3*f, -3*f = -4*l - 188 - 93. Is f a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w = -w - 4*w - 50 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*t - 19*t - 7*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3.7 times 0.0435\nAnswer: -0.16095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(-4*1*sqrt(8)))**2.\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 7521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 - 14*q + 15. Let a be i(-7). What is the highest common divisor of 2210 and a?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2472 and 168792692?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175720 and 4000.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 1195 = -1231 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a + 6*a - a - 1 + a. Determine m(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1061170 + -3?\nAnswer: 1061166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) 23 (c) 6 (d) 7 (e) 4 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -164, -678, -1536, -2738, -4284, -6174, -8408?\n\"Answer: -172*r**2 + 2*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 + 418?\nAnswer: 42c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -3. Let t be (-26)\/(-20) - 50\/100. Which is bigger: x or t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3428842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 49 = f, -64961*f = -64964*f + 192 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 553693027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 575*b + 2408*b - 377*b + 408*b.\nAnswer: 3014*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 22.968. Let g = -3.968 + k. What is the second biggest value in g, -0.03, 0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -256430 rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -99, 13, 0.08, 5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-1*(-3)\/111). Let n = -66 + w. What is n rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 8:34 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k = -51381 - 37319. Let l be k\/5 + ((-6)\/(-15))\/1. Round l to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-9)\/(27\/6). Let z be d\/4 - ((-2)\/8 - 3). Put 0.19, -0.3, z in descending order.\nAnswer: z, 0.19, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -231, -4, -2, -12 in decreasing order.\nAnswer: -2, -4, -12, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -54972 divided by 54?\nAnswer: -1018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 672.1 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 178863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 19*u**2 + 51*u + 187. Determine m(-21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 192\/16*3\/((-18)\/(-6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**6\/660 - d**4\/33 - 34*d**2 - d. Find z such that v(z) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71912\/27 + 2664. Which is greater: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 521 + -192. List the prime factors of b.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -282*r*z - 326*z + 1 with respect to r.\nAnswer: -282*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 29 = 5*n + 5*i, 3*n - 35 = -5*i. Let q(d) = d**3 - 5*d**2 + 3*d + 10. Is q(n) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40388 = -511*i + 42432 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 16) in base 12?\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 31*f**3 + 4*f**2 + 28*f + 8. Let r(s) = -2*s**3 - 4*s - 1. Calculate m(h) + 8*r(h).\nAnswer: 15*h**3 + 4*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1172*k - 482*k**3 - 440*k**3 - 1171*k.\nAnswer: -922*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202021 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1681 and 4842401227?\nAnswer: 1681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 24. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4198008, 16792034, 37782078, 67168140, 104950220?\nAnswer: 151128318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, r: 7, z: 7}. What is prob of picking 4 z?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 16245\/60 - 6*2\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3 + 877996*l**2 + 61452370*l + 1075373600 = 0.\nAnswer: -438928, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 380 and 26044820?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 510\/7*c - 2*c**3 - 2\/7*c**4 + 46\/7*c**2 + 900\/7 = 0.\nAnswer: -5, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -627 + 521.2. Round f to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 95 = -3*l - 171, 0 = -2*l. Suppose -13*m + d = 29. Suppose -o + 4*w + 1 = 11, 4*o = -5*w + 44. Solve -m + o = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**2 - 4*k + 1. Let d(p) = 2*p**2 + p + 2. Let y be d(-6). Let f = y + -66. Let m(a) = -8*a + 17. Determine f*m(z) + 9*v(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 4*g - 11 = 0, 5*g = -2*a + 4*g - 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5 - 25*n**4 + 21*n**3 + 73*n**2 - 22*n - 48 = 0. What is n?\nAnswer: -1, 1, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 383, 2\/13, -0.48, 1\/5, -5?\nAnswer: 383","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 2. Let t be ((-84)\/112)\/(6\/4) + 19\/(-2). Let x = 1.3 + -1.8. What is the closest to t in 4, x, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v - 4. Let b be w(7). Let h = b - -28. Suppose -p = -h*y + 3*p - 18000000, 5*p = y + 6000000. Round y to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 13*t**2 - 14*t - 8. Suppose g = 5*j - 3*g - 55, 2*g = 0. Let k be y(j). Find the common denominator of (-28)\/(-7)*102\/k and 65\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*2*7\/2. Let n(m) = 30*m + 13. Is n(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101111011001111100 (base 2) to base 16\nAnswer: 2f67c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/3 + 208\/24?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = -g + 3*d - 45, -5*d = 4*g + 120. Let p(n) = n**3 + 27*n**2 + 42*n - 20. Is 9 a factor of p(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) -3 (c) 0.03 (d) 11 (e) 2759 (f) 2\/7 (g) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18205.8us in seconds?\nAnswer: 0.0182058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152174 is divided by 38026?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44757?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3648899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*h - 3*w = 14, 0 = -5*h + w + 14. Suppose 0 = h*n + 3*n + 3*g - 125, -2*n + 3*g + 50 = 0. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m - 21 = 3*b, -b = 4*m - 6. List the prime factors of b\/10 + (-226)\/(-10).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 73, 120, 167, 214?\n\"Answer: 47*l + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -49*t**2 + 1. Let o(k) be the second derivative of k**4\/3 + 522*k. Calculate s(o(l)).\nAnswer: -784*l**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.57 take away -1436732?\nAnswer: 1436738.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 56462411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 29*a**2 - 77*a - 484. Is b(-7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j + 2 + 3 - 4. Suppose -5*a - 2*x - 3*x + 10 = 0, -x + 8 = -a. Is 13 a factor of b(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53 - 6*r - 53 - 20*r**2 wrt r?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14290, 23730, 33180, 42646, 52134, 61650, 71200, 80790?\nAnswer: 90426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 w when three letters picked without replacement from {w: 5, h: 11}.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 25*b. Let u(y) = -6*y. Calculate h(u(c)).\nAnswer: -150*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8398374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {t: 5, o: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r - 2. Let j(c) = -c. Give j(n) + y(n).\nAnswer: 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2*17)\/((-3)\/(-9)) is divided by -4*(-82)\/12 + (-40)\/(-90)*-3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 528 - 513. Solve 10 = r - 2*n, 0 = 4*r + 3*n - 0 + y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002916 to 5 decimal places.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 5\/4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002532 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 40\/((-5 + 3)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*1\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3253.7 + 3254. What is the closest to -1 in s, 6.37, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 48.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(160)*-1) - sqrt(63)*3*-5)*-4.\nAnswer: -179*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 10*j**2 + 10*j - 8. Suppose 0 = -3279*a + 3282*a + 33. What is x(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42841247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 8*c**2 - 1. Let g be u(8). Let n be (-356)\/(-1 + -3)*g. Let o = 114 + n. What is the highest common divisor of o and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m = -m - 28 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -2\/13, 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23601 (base 10) in base 15?\nAnswer: -6ed6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 14*c**2 - 9*c - 26. Calculate the remainder when x(-15) is divided by 57.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62 (base 7) to base 11\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4*(-4)\/(-16))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 5*f - 81 = 0, -375 = -748*w + 371*w + 372*w - 5*f for w.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 920*u**2 - 553*u**3 - 456*u**3 - 176*u**3 - 987*u**3 wrt u.\nAnswer: -13032","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6329 - 6332.682. Which is greater: -2\/3 or g?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/10 - (-4)\/10. Let c = 2 + 1. Let g(w) = w**3 + 8*w**2 + 16*w + 5. Let n be g(-4). Solve -h*f = c*f - n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1083502363700 + 203.\nAnswer: -1083502363497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**2 + 7*v + 7. Let t(o) = -3*o**2 + 3*o + 3. Let k(l) = -4*c(l) + 7*t(l). Let g be k(-6). Which is bigger: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -164613 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30444?\nAnswer: 2, 3, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y - 6*y**2 + 4*y**2 + 9 + y + 11*y - 5*y + 2*y**4 to the form a*y + d*y**2 + q*y**4 + r*y**3 + v and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 5*r - 1. Let m be a(4). Suppose 5*f - 21 = -4*g, g + 29 = -m*g + 5*f. Is g\/((-3)\/999) + 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1\/4)\/g*g)\/g**3)\/((g\/(g\/g**(-3))*g)\/g**(-2\/5))*(g**(1\/4)*g*g**(-2\/3))\/(g**2\/g**(-4)) assuming g is positive.\nAnswer: g**(-91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3 = 1. Let v be 4*(-3 + 0 + g). Suppose y + v*m = 17, -3*m - m = 5*y - 21. Which is the closest to y? (a) 1 (b) 0.4 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650 = 8*a - 4*s + 654, 5*s - 5 = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhzzohhhwhhzh. Give prob of picking 1 h, 1 o, and 2 z.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20322 - 4443222?\nAnswer: -10014044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/6*(7 + 652099\/(-21)). Let r = -30751 + t. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 + (-6 - (140 + -44)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h**2 + 1 + 5*h**2 - 10*h**2.\nAnswer: 4*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -22b2?\nAnswer: -22b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/3813192 and 3\/52961?\nAnswer: 3813192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**4 + 3*w**4 + 2*w**4)*(1 - 4 + 2) + 3 - 2*w**4 + 3*w**4 + 3.\nAnswer: -w**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1876631.\nAnswer: 1876631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 10*g + 13. Let v be d(9). Let p be (v*1\/2)\/2. Let x(a) = 4*a**2 - 1. Determine x(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14025821*p**2 + 29522060*p wrt p?\nAnswer: 28051642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -c52cb (base 14) in base 12?\nAnswer: -1ab06b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21768787 to the power of 1\/3, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/591712 and -91\/1952?\nAnswer: 36094432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -432*l**3 + l. Is r(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-875)\/(-27405)*(-376)\/6 + 2 + 0. Are 1 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -130 - -218. Suppose s - 20 = -m - 3*m, -m - 13 = -2*s. What is the highest common factor of c and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 6*w + 208 = 2*y, 83 = 2*w + y. Suppose -12 = 3*a + w. Let g = 41 - 59. Are a and g nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 4\/125 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4097225 and 517.\nAnswer: 4097225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 5, 0.03, 2, -82?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d**4 - 4*d**2 - 4*d - 1. Let w(v) = 6*v - 15. Let a be w(3). Let i(o) = -o**2 - o. Let y(g) = a*b(g) - 12*i(g). Differentiate y(n) wrt n.\nAnswer: -72*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 21. Suppose -4*y + 8 = 0, y = 3*d - 2*y - 66. Suppose o - 3*h - d = 0, -5*o = -3*o + 5*h - 37. Solve -12 = -2*f - b*r, -6*r + 11*r - o = -f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 15*q**2 - 2*q + 138. Give y(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259534371.\nAnswer: 3, 86511457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.94 + -0.06. Let i be (45\/(-25) + 2)*(-50)\/12. Which is the nearest to -3? (a) i (b) -0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*o + 51 = -5*o. Suppose 4*s - 1 - 7 = 0. Factor 9*b**o + b**5 + s*b + 7*b**2 - 46 + 46 + 5*b**4.\nAnswer: b*(b + 1)**3*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 7:14 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 18*q + 56. Let r be n(14). Let v be (-9)\/(-15) - 6\/5. Let a = -1 - v. Is a < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -y + 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 29 = -3*o, 0 = 4*o - 2 + 22. What is the remainder when 16 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 1\/7 (c) 1333\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1423.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5050932, 5050931, 5050928, 5050923, 5050916?\n\"Answer: -r**2 + 2*r + 5050931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-9 - ((-13 - -22 - -4) + -37)) + -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*j - 24992 = 224*j - 67*j + 156*j for j.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1187 = 3*k - 5*b - 1196, 0 = 5*k + 5*b - 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -912*z + 2. Let n(c) = -12203*c - 12200*c + 24401*c. Calculate v(n(y)).\nAnswer: 1824*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (3 - 23) + -1 + -2 + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 8 = 3*k - s, 5*s = -5*k - 10. Let f(b) = 2*b + 3. Let l(t) = -2*t - 4. Let z(q) = k*l(q) - 3*f(q). Let o be z(-3). Solve -o*w = -0*w - 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 43 + 143)*(-1 + 0 - 3)*(-1 + 0 + 3)*(-1 + 2*o + 1) in the form t + v*o and give v.\nAnswer: -3040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbmmbomsmbss. What is prob of picking 2 m?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-420 - -426) + -41 + 2 + 2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 949*x + 44. Let g(v) = -632*v - 29. Let q(m) = 8*g(m) + 5*p(m). Is q(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2768 = g, 13*y + 8308 = 3*g + 8*y. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - 3)\/(12662*(-111)\/281094 - -5).\nAnswer: 11, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -63\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4) + (-5)\/(-10). What is the units digit of 9 + (q - (-1 - -3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxf when three letters picked without replacement from {f: 2, x: 10}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f**3 - 26*f**2 - 16*f - 8. Let c(k) = 3*k**3 + 17*k**2 + 10*k + 5. Let y(o) = 5*a(o) + 8*c(o). Give y(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -11*v**3 + 2*v**2 + 5*v + 2. Let l(x) = -33*x**3 + 7*x**2 + 14*x + 7. Let u(i) = 2*l(i) - 7*r(i). Find the second derivative of u(f) wrt f.\nAnswer: 66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 2*p + 4*p)*(-93*p + 9881*p**2 - 9898*p**2 + 7*p).\nAnswer: -17*p**3 - 86*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence doo when three letters picked without replacement from jjdjjjjjjadjkokdojk?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90783 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 3. Let v be f(4). What is the nearest to -2\/7 in -0.4, v, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-8)*8\/6. Let g(n) = -5*n - 3. Let p(i) = -i + 1. Let z(y) = y - 7. Let u(o) = -5*p(o) - z(o). Give x*g(t) - 3*u(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 1. Let r be (-2698)\/3 + 6\/i. What is r rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l - l + 0*l + (-6*l + 0*l + 4*l)*(-2 + 3 - 2) + 9 - 9 - 5*l - l - 2*l + 0*l + (1 - 1 - 1)*(-l - 2*l + 5*l) - 2*l + 0*l + l - 3 + 3 - l.\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*s**3 + 420*s**3 - 100*s**3 - 103*s**3 - 113*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*p = 9, m - 5*p + 5 = -7. Put m, -5, -4, 5 in descending order.\nAnswer: 5, -4, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2460)\/(-1107) + (14\/18 - 1). Sort 0, -3, -0.5, p in increasing order.\nAnswer: -3, -0.5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 2*w - 5489, -3800 - 1683 = -5*r - 4*w. Let s = -620 + r. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 64*g + 28. What is the hundreds digit of j(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 80, 119, 204, 353, 584, 915?\nAnswer: 1364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*n**4 - 31*n**3 - 12*n**2 - 78954*n wrt n.\nAnswer: 156*n**2 - 186*n - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000659017 to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 22 + 10 - -21 - 107\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 84*j - 2. Let f be m(1). What is f rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 10*i**2 + 3*i + 11. Let j be d(10). Let m = j - -70. Round m to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354*a - 355*a = 11486. Let t = 27576 + a. What is t rounded to the nearest one hundred?\nAnswer: 16100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2221094997?\nAnswer: 3, 11, 293, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18\/19 + 344\/323. Let k be (276\/(-60) - -3)\/((-7)\/(-35)). Sort k, c, 0 in increasing order.\nAnswer: k, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -23234.\nAnswer: -1\/11617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4\/5, 6\/7, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/5*(-8166)\/6. Let l = x - -273. Factor 0 + 0*c + 0*c**3 + 0*c**2 - l*c**4 - 6\/5*c**5.\nAnswer: -2*c**4*(3*c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 373*v**6 + 170*v**2?\nAnswer: 44760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -19 + -4 + (-20)\/(-4). Let p(l) = l**3 + 22*l**2 + 23*l - 2. What is the hundreds digit of p(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v + 0*v - v)*(5 - 5 + 2) - 4*v + v - 1 + 0*v to s*v + t and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13787040773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 2. Suppose p = 2*y + 3*y - 40. Suppose -3*d + y*d = 605. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4319011 to the power of 1\/2, to the nearest integer?\nAnswer: 2078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**2*q**3 + 52*d**2 + 2*d*q**2 - 16*q**3 - 2*q wrt q?\nAnswer: 12*d**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 12276296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 333407293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n + 9. Let l(f) = -f - 2. Let i(q) = 9*l(q) + 2*o(q). Let v(p) be the third derivative of 0*p**3 - 1\/24*p**4 + 0*p + 0 - p**2. Calculate i(v(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -58 (b) -4 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**6\/120 + m**5\/20 + m**4\/8 - 6*m**2. Let v(a) = 4*a - 6*a + 0*a - 2*a**2. What is -2*j(k) - 3*v(k)?\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 941119492.\nAnswer: 2, 11677, 20149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31, 0.1, -35, 3\/17, 0, 0.3, 1\/4?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**8\/10080 + l**7\/2700 - l**6\/675 - l**5\/225 - 7*l**4\/6 - 2*l**2. Let o(v) be the second derivative of u(v). Factor o(h).\nAnswer: 2*(h - 1)*(h + 2)*(5*h + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 26*y**2 - 28*y + 19. Let x be d(-27). Suppose x*o = 53*o. Put o, 5, -4, 2 in increasing order.\nAnswer: -4, o, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -t**3*z**2 + 110*t**3 + 38*t**2*z**2 + 11*t**2 + 2*t - 5*z**2 with respect to z.\nAnswer: -2*t**3*z + 76*t**2*z - 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2)*(f**(2\/11)\/f)\/f*f**(8\/5)\/f**(-1\/2) assuming f is positive.\nAnswer: f**(-189\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21510182 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 96462 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 4. Let h = -14 + 1. Let u be t(h). Let k(v) = 2*v**2 - 3*v + 6. Let x be k(0). Solve p - x = z, p - 2*p - 4*z - u = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -1581222.\nAnswer: -474366.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and 0.2.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -25*j - 294. Give g(8).\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -317, -524, -783, -1112, -1529, -2052?\nAnswer: -2699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 103 = 131. Let t be (2\/i)\/((-22)\/(-33)). Are t and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = 4*f - 78, -4*f - f = 3627*a - 3630*a - 102 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -571749551 + 571749551 + 15*u**2.\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 + 207 = -7*n. Let y(a) = -392*a**2 - n*a + 390*a**2 + 5*a. Calculate y(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.82135 centimeters in micrometers?\nAnswer: 568213.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 320 and 89216.\nAnswer: 446080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21 or 5765\/287?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 209\/38 + (-2)\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -804 + 791.98. Let u = 0.02 + z. Let i = -2.6 - u. What is i rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 190*l - 2. Let r(k) = 2*k. Calculate r(d(q)).\nAnswer: 380*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 + -42. Let r(s) be the first derivative of 3*s**2\/2 - 5*s - 1. Let m be r(6). Calculate the highest common factor of m and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*d = -f - 271, -446*d - 5*f = -442*d - 3 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6 + (-91)\/(-39). Suppose -5*u + s*j + 162 = 0, 3*u - 4*j = -9*j + 104. Calculate the least common multiple of 18 and u.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 8*u**2 + 15*u. Let i be d(5). Let s(o) = o - 6. Let w be s(11). Solve i = 7*k - 12*k - w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74\/(-1332)*(0 - 1 - 2).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 9. Let q be l(-7). Suppose -q*z + 2*t - 3*t + 7 = 0, 0 = 3*t - 3. Calculate the remainder when z is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -43*s - 1. Let x be h(2). Let g = 52 + x. Let v be (0 - g) + -7 + 5. Calculate the highest common factor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2 = -a + 3, a + 4*k - 5 = 0. Suppose -9*y = -23 + a. Does 6 divide (y\/(-10))\/((-15)\/25)*18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -155 - -163. Let c(q) = -3*q + 3. Calculate the remainder when c(-3) is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-32))\/(-2*2\/8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 80*c**3 + 3*c - 30. Suppose 4*f + 6*f = 40. Is b(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 6:48 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 12. Let t be f(9). Suppose -t*a - 2*q + 1 = 0, 5*a + 25 = -0*q + 2*q. Let c = a + 6. Solve 4*g + 0*g - 10 = c*y, -2*g - 4*y + 16 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 2\/27, -540?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 75 = 7*h + h + 3*i, 410 = 110*h + 6*i - 46 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12378403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 + 3.97. Let s = -4.0176 + y. Round s to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131030 - 3120103?\nAnswer: -2323013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/11, -1376 in ascending order.\nAnswer: -1376, -1\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = 4*j - 88. Suppose 97*n - j*n - 6 = 0. Suppose -4*q = -n*f + 65, -5*q = 3*f - 19 - 1. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (182 - 171) + (3 + -5 - (-8 - -6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 486477867 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*c**2 - 25 - 3*c + 5*c - 4*c + 3.\nAnswer: 52*c**2 - 2*c - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 510 - 2?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 68259 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -12. Suppose 4*i - o = 17. What is the highest common factor of 44 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93765385.7 rounded to the nearest 10000?\nAnswer: -93770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6192000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 8 + 10. Suppose 2*l - 4 = y + y, -b = l + 3*y. Suppose x - 4*s = 38, l*x + x = -s + 13. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 21*j - 24. Let a be f(-20). Let y be a - 150\/(-45)*(-14)\/(-12). Which is bigger: -0.23 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7123812732.\nAnswer: 2, 3, 65961229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 2456 and -0.029954 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120)\/sqrt(6))\/sqrt(4) - (sqrt(5) + sqrt(40)\/sqrt(8) + sqrt(5))*1) + -3 + -4)**2.\nAnswer: 28*sqrt(5) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -9387*z - 1. Let r(x) = -2*x. Determine a(r(t)).\nAnswer: 18774*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 59. Solve v = -2*o - 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 t when two letters picked without replacement from {t: 2, x: 5, v: 1, q: 8, g: 1}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(50932\/896 - 57).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - a**2 + 5*a + 6. What is h(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 12*t + 16*t + 2620 = 0, 0 = -t - 5. Let b = l - 514. Solve 0 = b*k + 24 - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5455 and 127647.\nAnswer: 638235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (-12)\/9)*3. Suppose y*w = 4*t, 3*t + 6 = -2*w + 26. Suppose 5*q = -t*v + 41, q = 5*v + 6*q - 45. Solve 0*s - 20 = v*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 158.5 (c) 5 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1609*s = 2651*s - 1305*s + 2367 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**11*y**14*((y**(-3)*y)\/y)**(18\/11) assuming y is positive.\nAnswer: y**(221\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -19886.38\nAnswer: -19886.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*x = -399, -y = -0*y - 5*x - 103. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2453768 divided by 29924?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9027679, -18055356, -27083035, -36110716, -45138399, -54166084?\n\"Answer: -a**2 - 9027674*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l**4*l)\/l*l**(-3\/8)*(l**1)**21*l**(3\/7)*l**(-1\/9)\/l*((l**8*l*l)\/l)\/l*l\/(l*l\/(l*l**(-4\/5)\/l)) assuming l is positive.\nAnswer: l**(83519\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 261.1227ml?\nAnswer: 0.2611227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 90 + 110 = 0. Let f(j) = -120*j**3 - 2*j - 1. Let b be f(-1). Suppose a = -2*h + b, -y*h + 2*a + 204 = -18. List the prime factors of h.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 12932442738*r + 12932442800*r.\nAnswer: 62*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 b when three letters picked without replacement from cubbc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 10:22 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21, 70, 149, 270, 445, 686, 1005?\n\"Answer: 2*q**3 + 3*q**2 + 26*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*v - 13 + 13)*(0 + 4 - 2)*(2 + 0 - 5).\nAnswer: -72*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(132\/11)*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (1 + -3 + (-46 - -56) + -43)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - (2 + -12))*(-3)\/(-5). Suppose -d + 10 = 2*t, 3*d - 2*t = m - 5. Solve -1 - d = -3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*w - 3. Let m(v) = v**2 + v - 1. Let h be m(w). Solve -16 = 4*t + h*r, r = 5*t - 0*r - 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-30))\/(24\/60)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020177 rounded to three dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjee when four letters picked without replacement from yymjmejjythmyjjeejy.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 - 0. What is the remainder when o is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/9 + 68*m**3 + 5400*m**2 + 30000*m.\nAnswer: 2*m*(m + 6)*(m + 150)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 2*t**3\/39 + 16*t**2\/13 + 30*t\/13 + 99. Let x(q) = 0. What is q?\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 8447255.\nAnswer: 8447255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(3*w - 18*w - 12*w).\nAnswer: 27*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 = -2. Suppose g*i = 3*i + 10. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.031 - 26.031. Let t = -18 - x. Let m = t - 3. Sort 4, -3, m in decreasing order.\nAnswer: m, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14846564 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -12*f**5 + 800*f**4 - 9080*f**3 - 3920*f**2 + 9092*f + 3120 = 0.\nAnswer: -1, -1\/3, 1, 15, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -454673064 and -340165?\nAnswer: 454332899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025507 plus -2766741?\nAnswer: -2766741.025507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -931 + 933. Let x(m) = m**3 + m**2 - 4*m + 3. What is x(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/4)\/((-1)\/(-23420)). Suppose 4*r + d = -15090. Round r to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 125.8 + -28.13. What is z rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.09 - 1.91. Let y be 23\/(-45) + (-86)\/(-774). Which is the smallest value? (a) m (b) y (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*z - 149*j + 151*j, 3*z = 5*j - 10. What is the nearest to -1 in 0.5, 0, -1\/2, z?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, d: 2, g: 1, s: 1, v: 1}. Give prob of picking 1 d and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 344073\/3145 + -2\/629. Let w = 109 - h. Is w at least -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 134409515 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4) + 75\/110.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3298625 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -5*y + 8*j - 7*j, y + 2 = -2*j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*l = -47*l - 671 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**4 - 20*r**3 + 873691*r**2 + 62752807*r?\nAnswer: 24*r**2 - 120*r + 1747382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 2:30 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 2*g - 2. Suppose 3 = -4*c - 9. Let q = -8 - c. Is i(q) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/7526 and -9\/10.\nAnswer: 37630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 5*o**2 + 6*o - 5. Let y be r(-6). Suppose -2*x - 2*u = -2, 5 = 4*x + u + 1. Sort 3, x, y in decreasing order.\nAnswer: 3, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f = 5*u - 0 + 3 + 2 - 5 - 7, 0 = 9*f - u + 15 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1614 + 2?\nAnswer: -1612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, y: 6, f: 1, o: 1, g: 5, w: 2}. Give prob of picking 1 o and 2 y.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*b = -40*b - 392*b + 15522 for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_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(h) = 4*h - 9. Let m(q) = -q**3 - 7*q**2 - 5*q + 2. Let y be m(-6). Let g be y\/8*-6 - 0. Let t be i(g). Solve 0 = c + t*c - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*z**3 - 24*z**3 + 23*z**3 + (2*z**2 - 4*z**2 + z**2)*(-2*z - z + 2*z) + 2*z - 2*z - 2*z**3 as s*z**2 + o*z**3 + p + m*z and give o.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -3*d + 225. Let t = 5 + -2. Suppose 58 - 7 = n - 5*q, t*q = 2*n - d. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 868514645 to the nearest integer?\nAnswer: 29471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-15) + (-2)\/(-5). Let f be (-163 - (4 + n))\/(-1). What is f rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*n + 35 - 43*n - 38 as r + f*n and give f.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m + 26. Determine b(23).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**6\/60 + 13*c**4\/24 + c**3\/6 - 4*c**2. Let p(m) be the first derivative of t(m). Find the first derivative of p(j) wrt j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 1*sqrt(13) - sqrt(13))*-3*-4.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 1. Let w(v) = 16*v + 19. Let d(f) = -6*i(f) + w(f). What is the first derivative of d(u) wrt u?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 509*a - 52998.\nAnswer: -(a - 363)*(a - 146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 98, 513, 1206, 2177, 3426, 4953?\n\"Answer: 139*m**2 - 2*m - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(10)\/(sqrt(5) + 1*sqrt(5))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 5*b - b)*(6 - 3 - 1) + (0 - 3 + 1)*(-2*b + 2*b - 2*b).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000031287 to 7 dps.\nAnswer: 0.0000313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*c**5\/2 + 57*c**4\/2 + 12*c**3 - 6*c**2 = 0. What is c?\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8640713 (base 9) in base 15?\nAnswer: -617980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303151 is divided by 4018?\nAnswer: 1801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 8:45 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 3:48 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0075349845 to four decimal places.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3143 - 3141. What is the third biggest value in -158, 0.3, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*m - 57. Let l be 4\/4 + -2 + m. What is the greatest common divisor of 21 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4995830 divided by 4922.\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 17*t**3 + 16*t**2 - 13*t - 85. Let b(y) = 10*y**3 + 8*y**2 - 7*y - 46. Let d(z) = 5*b(z) - 3*g(z). Give d(-9).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.27 + -0.13. Let f = -870 + 876. Put 1\/4, b, 0, f in ascending order.\nAnswer: b, 0, 1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -153, 0, -844, 2.\nAnswer: -844, -153, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)*f)**(-1\/29)*f*f**(-7)\/f*(((f\/f**(3\/7))\/f*f)\/f*f)\/f assuming f is positive.\nAnswer: f**(-1480\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by (0 + 66)*4\/144*12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -24. Suppose -14 = -y*o - 2. Solve 0 = o*h - h - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 77*j + 433. Let m be x(-6). Solve b - 23 = -3*v - 3*b, -3*v + m = -4*b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5518, -5523, -5530, -5539, -5550?\n\"Answer: -m**2 - 2*m - 5515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -162 - 431?\nAnswer: -593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7)\/2)\/((-3)\/36) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(-4)*10\/(-8). Find the second derivative of 2*h**n - 2*h**5 + 4*h - 3*h - h**5 wrt h.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8\/14*(-28)\/(-8) and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 251885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 13*r**2 + 1778*r - 503. Calculate z(36).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13686 is divided by 169?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -204*p**3 - 210*p**2 - 4*p + 4. Let i(y) = 200*y**3 + 211*y**2 + 3*y - 3. Let v(u) = -3*g(u) - 4*i(u). Find the third derivative of v(r) wrt r.\nAnswer: -1128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, w: 7}. What is prob of sequence wyyy?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -361. Suppose 2*s - 385 = j. Let i = -97 - s. Round i to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(140)\/sqrt(7)*1)\/(sqrt(4) - (sqrt(4) + (sqrt(4) - (sqrt(12)\/sqrt(3) + sqrt(4) - sqrt(4))*-2))) + -3.\nAnswer: -4 - sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 118.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8208296 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/z**(1\/2))**(-2\/29)*(z*z\/(z\/z**(-9))*z)\/(z**(-2\/7)*z) assuming z is positive.\nAnswer: z**(-1601\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 9964*w + 19846. What is v(-2)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -2\/5, 7634, -4\/11?\nAnswer: 7634","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2180 + 3?\nAnswer: 2183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2*(sqrt(1584) + -1 + sqrt(1584) + -4) + 4)*-5)**2.\nAnswer: -31200*sqrt(11) + 637825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83*m**4*o - 118689*m**3*o + m**2*o + 23*m*o - m - 14529*o - 7 wrt m.\nAnswer: -996*m**2*o - 712134*m*o + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) -2359 (c) -2\/9 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32212 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*m + 6*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6) - 11\/3. Let y = 0.03 + -2.03. Let x = 0.076 + -1.076. Put i, y, x in increasing order.\nAnswer: i, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5437.70766ms in weeks?\nAnswer: 0.00000899091875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72636.88l?\nAnswer: 72636880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3517236 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 68 + 46 = 60*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -3, 0, -6\/7, -70 in ascending order.\nAnswer: -70, -3, -6\/7, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3425 = -90*d + 23*d - 410 for d.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 12 - -3) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -15009 divided by 20\nAnswer: -15009\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + k + 5*k)*(-2 + 1 + 2) + 2 - 2 + 2*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u - 135*u + 810 = -20*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**2 - v**2 + 31*v**2.\nAnswer: 23*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75791786664 + -52022836060. Let m = u + -23768950715.99999947. Let q = 112 + m. What is q rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*k**2 + 3 - 8*k - 13*k**2 - 11 - 2*k**4 + 4*k**3.\nAnswer: -2*(k - 2)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10683 - -17?\nAnswer: -10667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 675739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 3:08 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u + 10. Let z be w(-5). Suppose -5*v + 4*k - 1 - 13 = z, -v - 3*k + 1 = 0. Calculate the smallest common multiple of 1*v + (-1 - -25) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25148259 to the nearest integer?\nAnswer: 5015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 20*v + 7*v**3 + 21*v + 2*v**2 - 43*v to k*v**2 + u + m*v**3 + l*v and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -176*-4\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d + -1c0d61?\nAnswer: -1c0d22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -127 + 198. Calculate the common denominator of z\/8*(-1 - 1) and 67\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.6 (c) -0.2113 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -32 - 13. Let p = -5345 + 5343. Let k be (3 - 95399950\/(-18)) + p\/b. What is k rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1906 + -0.2094. What is the third smallest value in z, 0.043, -2\/9?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15610883?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wswswfweeefwwwfw. What is prob of picking 1 e, 1 f, and 2 w?\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16331 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 6*d + 4. Let n be r(6). Suppose 0 = s + w + 5, -20 = s + 2*s + n*w. Let l be (-1 - s)*(-15)\/35. What is the third biggest value in 4, l, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*k**2*v*y + 2*k**2*y + 8*k**2 + 5*k*v + 4*v*y + 35*v + 7047*y wrt y?\nAnswer: 3*k**2*v + 2*k**2 + 4*v + 7047","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 16, 55\/1073, -1\/4?\nAnswer: 55\/1073","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25560 by 6.\nAnswer: 4260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12240 divided by 2448.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/77 (b) -3.4 (c) 0.5 (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11757*h + 11753*h - 1 = u, -5*u = h + 62 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/30*(-60)\/72?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 239\/5 - 2639\/55. What is the nearest to 2 in 3, 13\/4, j, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 129*z + 4266. Does 24 divide x(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 3*o**2 - 2. Let h be j(-2). Let r = 1.01 - 0.44. Let w = r + -0.07. Which is the smallest value? (a) h (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3\/8 (b) 827 (c) -0.3 (d) 3 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49\/5 - 10. Put -4, 2\/7, i in ascending order.\nAnswer: -4, i, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(104\/31) + (-1132)\/7358.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -12*a**2 - 3*a - 2. Let t(j) = 23*j**2 + 7*j + 4. Let k(p) = -5*g(p) - 2*t(p). Let z be k(2). Suppose v - z = -3*v. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 206*n - 5774, 316*h + 310*h + 2*n + 20 = 630*h + 84 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**2 - 6*x + 16. Give q(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.3, -371\/163, 4, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 4*k + 2*k)*(7067 + 637 + 11900 + 11552 - 3597 - 3964).\nAnswer: -23595*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 4*l**3 - 4632*l**2 + 1787952*l - 230049824 = 0.\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*d + 10 = 0, 3*m - 391 = d. What is the remainder when m is divided by ((-12)\/(-14))\/(24\/(-42))*-30?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**4\/5 + 27*z**3\/5 - 63*z**2\/5 + 33*z\/5 = 0.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9327*j - 4677*j - 4650*j + 6*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118553 (base 12) to base 13.\nAnswer: 9c468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*p - 123*p + 53*p - 20 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - u + 39 - 87 = 0, 2*f - 4*u - 12 = 0. Solve 5*q = d - f - 2, 12 = -4*d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 3*g + 5*s - 476, s - 616 = 5*g. Let p = -208 - g. Let v = -76 - p. Solve 5*b = -2*z - v, -b + 12 = 2*b - 3*z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 + 3*i - 2. What is the least common multiple of 33 and w(-4)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**4 - 3*g**4 - g**4)*(-2 - 1 + 2)*(-7679 + 4352 + 4387).\nAnswer: 2120*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 - 5*c**2 + c + 6. Let d be k(-4). Let f = d + 218. Solve -4 + f = -4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, i: 6, a: 4, e: 3}. What is prob of sequence ra?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 + 7*m - 1. Let w be v(-7). Suppose -5*j - 17 = -4*n - w, 4*n = 4*j - 28. Suppose j*p - 8 = 7. Calculate the highest common divisor of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p**2 - 10*p + 6. Let k(t) = 4*t**2 + 10*t - 5. Let b(o) = -4*k(o) - 3*x(o). List the prime factors of b(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15239 - 19299 = -10*x. Does 58 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 8:38 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31729\/16546980 - -926121239993\/1432190759940. Let s = -4\/9617 + j. What is the common denominator of s and 95\/18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3 (b) 0.4 (c) -0.01 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (92 + (-37288)\/395)\/(-5*(-10)\/125)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (36 + -41 - (-3 - -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 < -2\/12989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/9 less than -0.431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2209.4055 months?\nAnswer: 1.84117125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -232*m**2 - 168?\nAnswer: -464*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**3*y**3 - 4*s**3*y**2 + s**3*y - 30*s**3 + 2*y**2 - 2*y wrt y?\nAnswer: -12*s**3*y - 8*s**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 3*l. Suppose k - 2 - 4 = 0. Let y be j(k). What are the prime factors of (-2)\/4 - y\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 211*x**8\/336 + 227*x**5\/60 - 2*x**2 + 190*x. What is the third derivative of a(s) wrt s?\nAnswer: 12660*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -3*i**2\/2 + 3*i - 94. Calculate t(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 725*i**3 + 52*i - 231*i + 82*i - 726*i**3 + 45*i + 52*i.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 69 = 4*s - 283, s = t + 56. Suppose 57*q - 7530 = s*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 77*v - 79*v + 5, 4*w + 2*v = -10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/35 + (8 - 8). Sort w, -5, 0.1 in decreasing order.\nAnswer: w, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 106031453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 9:12 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.34 and 0.245.\nAnswer: 4.585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*h - 12 = 77*h. Let g(v) be the first derivative of 0*v + 0*v**4 + 0*v**3 - 5 - 5\/2*v**h + 3\/5*v**5. Find the second derivative of g(s) wrt s.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10143 (base 6) in base 5?\nAnswer: 20414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 1 (c) 0.03 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4130*z**3 + 4136*z**3 - 8261*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 72*p - 66 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 4 (c) -4 (d) -388971 (e) -2\/5 (f) -8 (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/91 and -79\/1821988.\nAnswer: 23685844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*g = 17*g - 4*l + 1114, 5*g = l - 100 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -6. Suppose -w*f = 2*q - 25, q + f + 2*f = 5. Suppose -q = -j + 8. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -11. Let z(q) = q**3 + 8*q**2 + 5*q + 4. Let p be z(i). Calculate the greatest common factor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 - -5)*(-94)\/4. Let r = l - 38. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91*l - 91*l + 233*l**2 to n + w*l + q*l**2 and give q.\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19158*r + 57489*r - 19164*r - 27*r**2 - 19167*r.\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -18 (b) 0.69 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l**2 + 184*l - 10. What is q(-32)?\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2 + 17*c - 7. Let g be d(-7). Let n = -68 + g. Solve m = 4*b + 24, 4*b + 2*m = 2*b - n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w. Let i(b) = 349*b + 79. What is i(k(z))?\nAnswer: -349*z + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.119 + 0.119. Let j = n - -14. Which is the third biggest value? (a) -2\/21 (b) j (c) -7\/6 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-75)\/12)\/(-5))\/(18963\/9480 - 2). What is the highest common factor of 50 and w?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -251.66 - -200.66. Let t = 12 + -11.6. Put -2, x, t in ascending order.\nAnswer: x, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 10 = 2. Is 10 a factor of (19\/3 + k)*12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00053725298 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c - 2*y - 84 = 0, -18*y - 5 = c - 13*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6, -51, -92, -129?\n\"Answer: 2*s**2 - 51*s + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v. Let t(c) be the second derivative of 455*c**4\/3 + 294*c. Determine q(t(z)).\nAnswer: 3640*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9711, -19459, -29245, -39069, -48931, -58831?\n\"Answer: -19*u**2 - 9691*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*x = 3*a - 10, 2*a + 8 = 5*x. Suppose -33 = -5*d + 7. Is a\/d + 146\/8 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1180 and 6?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 377222182 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28\/103879 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**10\/5040 - t**6\/360 - 2*t**3\/3 - 3. Let p(s) be the third derivative of k(s). What is the third derivative of p(b) wrt b?\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 5 - (-27 + 20 + 33).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1332 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a meter in centimeters?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 22*x + 6. Let m be 21\/14*(2 + 2 - 0). What is the hundreds digit of f(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 d when three letters picked without replacement from {d: 3, q: 4, i: 2, s: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*d + 13, 3*d - 4*t = 16 + 6. Suppose 0*v - v = 3*h - 18, 3*h - d = v. Solve -z + v = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3880561154 + 0.3.\nAnswer: -3880561153.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 7:40 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4332*t**2*w + 2*t*w + 3627*w wrt t?\nAnswer: 8664*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + r**2 + r - 2. Let u be s(-2). Let i = 16 + u. Suppose -y + 3 = -2. Calculate the remainder when i is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 2 + 7 - 2)*(6067*r - 6069*r - 214 + 16).\nAnswer: -6*r**2 - 600*r - 594","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.95 - -3. Let k = a + -5.05. Let o = 6.03 + -5.63. What is the second smallest value in 4, o, -4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 2*i**2 + 2. Let h(t) be the first derivative of -6 + 3\/4*t**4 + 4\/3*t**3 + 0*t**2 - 5*t. Determine 2*h(a) + 5*u(a).\nAnswer: a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5676 + -5666. Calculate the least common multiple of 376 and i.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1267255 + -433242. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/24 and 38\/21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(10\/8)*9\/12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**2 + 20*p**2 - 45*p**2 + 42*p + 5*p**2 - 98*p**2 = 0.\nAnswer: 0, 21\/58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 5, 9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -91, 2, -2, 7, -68 in decreasing order.\nAnswer: 7, 3, 2, 0, -2, -68, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13982 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7223*g - 6. Suppose 3 + 5 = 3*s - 2*k, 4*s - 5*k - 13 = 0. Let z be i(s). Round z to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h - 1. Let a = -20 - -28. Let o(g) = g**3 - 9*g**2 + 7*g + 3. Let u be o(a). Let j be v(u). What is the highest common factor of 27 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.09956 and -346.\nAnswer: -345.90044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/4032 and 99\/14.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116144 = -262*l + 279*l. What is the thousands digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -12, 0.01?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4474391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**5\/30 - 7*d**4\/4 - 20*d**3\/3 - 8*d**2 + 1. Let p be v(-20). Is p <= 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -41047478, -82094977, -123142476, -164189975, -205237474, -246284973?\n\"Answer: -41047499*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 112\/10 - 4\/20. Suppose 0 = -2*t + 1 - z. Let c(n) = 2*n + 1. Let k(d) = d + 1. Let b(q) = t*k(q) + 3*c(q). What is b(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 957151567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 < 95230\/27273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*1*-21 + -3. Let t = -17 - p. What is the remainder when t is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(-15) + 6730\/30 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 389472 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 111*j**2 + 17759*j - 155. Give n(-160).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(d*d**11)))\/d)\/(d*(d\/d**(-14))\/d))**(-2\/69) assuming d is positive.\nAnswer: d**(8\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 362521 to the power of 1\/2, to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*(sqrt(3) + sqrt(3) + -1 + sqrt(3))**2.\nAnswer: -672 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 14 - 14)*(2*r**2 - 2*r**2 - 2*r**2) + 6*r**3 - 4*r**3 + 0*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-55)\/33)\/(500\/(-72)))\/((-8)\/10).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -6 - (62 + -61).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*o - 0*o. Suppose 2*u = -2*y + o, -4*y + u = -0*y - 6. Suppose -5*w - s - 2 = y*s, -5*s = 5*w. What is the third smallest value in w, -0.3, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 12*w**2 - 5*w + 2. Let s(n) = 13*n**2 - 6*n + 3. What is 4*q(h) - 3*s(h)?\nAnswer: 9*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 2*m**2 + 9*m + 1. Let c be s(-4). Put 3, 4, -4, c in increasing order.\nAnswer: -4, c, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -151, -148, -145, -142?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 - 3*a + 3*a + (0*a + 4*a - 3*a)*(-2*a - 2*a + 3*a) + a**2 - 5*a**2 + 2*a**2 - a**2 - 1 + 1 + 0 + 3*a**2 + 0 + 21 - 21 + 20*a**2.\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**5\/20 + h**3\/6 + 15*h. Factor l(b).\nAnswer: -b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33.5 - -34. Let j = 1235.96 + -1235. Put j, n, -2\/5 in descending order.\nAnswer: j, n, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 + 2810*x - 2808*x)*(5*x**2 - 2*x**2 - 2*x**2).\nAnswer: 2*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18544 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -21 (b) 4 (c) 3\/5 (d) 15845\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 37*m**4\/6 + 3*m**2 - m. Let l be j(-9). Round l to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5913767*v + 6429879 wrt v?\nAnswer: -5913767","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*66.6.\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, g: 8}. What is prob of picking 1 s and 3 g?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3075 is divided by 1158?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0.2. Let u be ((-9)\/6)\/(27\/(-18)). What is the closest to u in -4, 1\/10, z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**2 - 60*w + 2967 = 0. Calculate w.\nAnswer: -43, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 3 - 2*r - 1\/3*r**3 - 3\/2*r**2. Determine n so that g(n) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 5*w**7\/42 - 3*w**6\/4 - 23*w**5\/12 + 35*w**4\/2 + 30*w**3 - 141*w**2. Factor x(n).\nAnswer: 5*(n - 3)**2*(n + 2)*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 80918397*n + 33991141.\nAnswer: 80918397","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w + b - 7, 0 = -w - 2*b. Suppose w*a + 2 = a. Let f be 4\/a - (8 + -12). Which is smaller: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 7:45 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 8189?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/3)*p**2 assuming p is positive.\nAnswer: p**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times -3.25?\nAnswer: 55.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363865001?\nAnswer: 29, 1021, 12289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1064*r + 314787. Give n(-296).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1056, 4, 1581 in decreasing order.\nAnswer: 1581, 4, -4, -1056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) -0.5 (c) 33 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1439384?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 430 and 5660?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64240.9918 + -64227. Let o = u - 14. What is o rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -276 + -60?\nAnswer: -2d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12\/7, -0.1, -282\/7, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 - 138*t - 4*t**2 + 138*t.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-23)*f)\/(f\/((f\/(f*(f\/(f\/(((f**(6\/13)*f)\/f)\/f)))\/f*f))\/f)))\/(f*f**(-2\/7)*f**7*f))**(-16) assuming f is positive.\nAnswer: f**(45392\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 20650*d + 20652.\nAnswer: -2*(d - 1)*(d + 10326)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 27*y**2 + 10*y - 3. What is p(4)?\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2340*d + 2320*d - 1442 = 4609*d - 3941 for d.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 2*i - 4. Let s(n) be the third derivative of -n**4\/12 - 5*n**3\/6 + 4311*n**2. Let q = 12 + -7. Calculate q*y(a) - 4*s(a).\nAnswer: -5*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2989*r**6 - 18155*r**2.\nAnswer: -358680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1184*n + 13613*n + 5719*n - n**2 + 2*n**2.\nAnswer: n**2 + 20516*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -26623001.76 to the nearest 100000.\nAnswer: -26600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 110? (a) -5 (b) -0.5 (c) -1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 173872 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 379374, -59 in descending order.\nAnswer: 379374, 3, -2, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((1\/2)\/((-130)\/104))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1825430 rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j**2 - j - 1. Let k be q(-1). Suppose k*b - 15 = 10. Solve -4*o + 31 = o - 3*p, 0 = 2*o + b*p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*l = -559*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 6. What is the remainder when 50 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*h = -28*h + 14*h - 1305 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 31 + 34, 0 = -3*y + 5*w + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -1021?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*f = 41*f - 0*f - 476. Solve -3*s + c = -4, 35*c - 14 = -f*s + 32*c for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155c9 (base 16) in base 14?\nAnswer: -23c5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 302765750 rounded to the nearest 100000?\nAnswer: 302800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 11*g - 3. Let h be u(4). Let p be 26\/4 + (-18)\/12. Suppose -p*t = -4*x + h + 11, 25 = t + 5*x. Sort t, 7, -2 in ascending order.\nAnswer: -2, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2*(-4)\/(-17). Let y(w) = w**2 - 2*w + 2. Let s be y(2). Suppose -j - 5*x = -2*j + 25, -s*j = -2*x - 10. Is j equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 53. Let r(b) = -6*b - 264. Calculate 16*j(k) + 3*r(k).\nAnswer: -2*k + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-6)*((-154100)\/(-7750) + -20).\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -50 times -10477\nAnswer: 523850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 324\/313 or 2?\nAnswer: 324\/313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -1\/13, 0.5, -1.5208, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4) - 956\/(-16). What is the common denominator of -53\/7 and b\/22 - (-5 - -8)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**3 - 42*c**2 - 132*c - 120 = 0. Calculate c.\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/13 or -654?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 - 3*a + 1214. Suppose 0 = 10*x - 11*x - 11*x. Is r(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.3 or -34.48?\nAnswer: -34.48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 4*g + 2*j + 13, 4*g + 4*j + 36 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -1\/4, -311, 1.4, 0.013?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -722 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1444 and 608.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -27*o**2 - 79*o. Let d(n) = -9*n**2 - 28*n. Let q(a) = 11*d(a) - 4*p(a). Let v(i) = -i**2 - i. Calculate -q(l) - 5*v(l).\nAnswer: -4*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s**(-8)\/s))\/(s\/(s*s*s*s\/((s**0\/s)\/s)*s))*(s**(2\/9))**(-2\/135))**2)**(-1\/15) assuming s is positive.\nAnswer: s**(-41302\/18225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2, 62, -1\/4, 2\/5, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33229\/1520 + -1489\/95. What is the common denominator of (-302)\/720 + (-8)\/20 and w?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 13) in base 6?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 20*u**3 + 7*u**2 + 5*u - 9. Let a be x(6). Let s = -377 + -167. Let n = s + a. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 56, 83, 120, 167, 224, 291?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5205*z + 3286*z + 7 - 7.\nAnswer: 8491*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 24 + 11 = 18*n. Suppose 4 = -g + 8. Suppose -g*s + 15 = s. Solve n*y = y + s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 5*s**2 + s + 1. Let m(k) = 2*k + 6. Let q be m(-6). Let t be (1 + -1 - q)\/1. Is p(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12 from -9779.\nAnswer: -9767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -13701*o. Let i(z) = 727*z. Give p(i(v)).\nAnswer: -9960627*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -161*a + 263 - 137*a + 154 - 32 + 266*a. What is h(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 3*c**5\/5 + 9*c**4\/2 - 7*c**3 + 70. Suppose o(b) = 0. What is b?\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*sqrt(76).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8459*j*v**3*x**2 + 2*j*v**2*x**2 + 2*j*v**2 - 52*j*v*x + 19*j*x**2 + 4*v**3*x + 12*v**2*x - v wrt v?\nAnswer: -50754*j*x**2 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**3 - 43*y**2 - 139*y + 30. Is 26 a factor of s(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000752328 to 7 dps.\nAnswer: 0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -15212.3\nAnswer: 76061.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.7 or -39?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -20*b**2 - 8*b + 5. Let h(v) = -5*v**2 + 2*v + 2. Calculate -2*h(y) + x(y).\nAnswer: -10*y**2 - 12*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.97091 to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 477 and 3087?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2869 - 2870. Put -5, 0, s, -4 in ascending order.\nAnswer: -5, -4, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2704418554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -0.1.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1162362 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 0, 5, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(-3*sqrt(405)))**2.\nAnswer: 17\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.72 - -0.28. Suppose 4*p - 3 = p. Which is the nearest to p? (a) i (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/24 - (-1)\/(-3). Let t = -0.6 + 0.1. Put t, 2\/17, i in descending order.\nAnswer: i, 2\/17, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 1935?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 3*q - 11, 5350*c = 5354*c + 2*q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75081 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o. Let p(i) be the third derivative of -19*i**4\/6 + i**3\/2 - 672*i**2. Calculate n(p(r)).\nAnswer: 76*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 5:00 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5491630 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 524050 to the nearest ten thousand.\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -18, 5, -12\/5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.008 - 0.049. Are 0.1 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3) + (-28)\/(-6). Solve 0 = 2*d + 5*z + 14, d + b*z + 5 + 8 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 434 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9485401761 - -0.063.\nAnswer: -9485401760.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10905*-5\nAnswer: -54525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12529191 divided by -3\nAnswer: -4176397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 303*o**2 - 43215*o + 731358.\nAnswer: 3*(o - 123)*(101*o - 1982)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412531 is divided by 412521?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 4*k - 5. Let p(t) = -3*t**2 + 9*t - 11. Let d(g) = -2*p(g) + 5*u(g). Let x be d(-6). Calculate the greatest common factor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393727 + 753289 = 35*l - 433654. What is the ten thousands digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53028664 by 4.\nAnswer: 13257166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 25. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6393241422?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-26)\/(-1))*-2. Suppose 1 = 3*h - 14. Let k = h + -3. Which is the nearest to 2? (a) -2 (b) v (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1016296, 1015762, 1015228, 1014694, 1014160?\nAnswer: 1013626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -250, -246, -242, -238, -234, -230?\n\"Answer: 4*k - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -327 + 1289\/4. Let n = -55769\/10 - -5569. What is the common denominator of g and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -530*p + 4184. Calculate the least common multiple of 12 and q(7).\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*g = 2 - 7, 0 = -3*y - 2*g + 2. Suppose -y*m + 5*t = -493, -6*m + 2*t = -5*m - 121. What is the remainder when m is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 10. Let q be 1\/c*1*2. Factor -1\/3*w**2 + 0 - q*w.\nAnswer: -w*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1101010?\nAnswer: 1101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -1, -5, 1, 48, 30.\nAnswer: -5, -1, 1, 16, 30, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 2*k**2 + 2. Let y be u(0). Suppose i + 9 = -y*i. Suppose 5*n + 4*z = 20, 2*z = n + 5*z - 4. Sort 3, -1, n, i in ascending order.\nAnswer: i, -1, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aab when three letters picked without replacement from tbarta?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 1933*s + 169982. Give f(-88).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 15*s + 130. Let l(q) = -7*q - 65. Calculate -17*l(a) - 8*u(a).\nAnswer: -a + 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 374303 times 175?\nAnswer: 65503025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13260 is divided by 195?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j**2. Let n(c) = -24164260*c. Give n(z(b)).\nAnswer: 169149820*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fii when three letters picked without replacement from {n: 4, f: 2, i: 8}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r = 4*g - 240, 0 = -5*g + 3*r + 300. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 8. Let c(q) be the third derivative of -37*q**2 + 1\/24*q**4 + 0 + 0*q + 4\/3*q**3. Let f(d) = 3*c(d) - 2*s(d). Give f(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.94 - 0.06. Suppose 3*o + 1 = 7. Let b be (o + -2)\/(6\/3). What is the smallest value in b, f, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 v when three letters picked without replacement from {q: 4, c: 2, v: 2, b: 1, k: 7}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 30 - 18. Put z, -2, 2, 5 in descending order.\nAnswer: 5, 2, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/9 (b) -345 (c) 3\/4 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2*x - 4. Let r(g) be the first derivative of -2*g**3\/3 + g**2\/2 + 4*g + 1. Let o(p) = -p**3 + p**2 - 1. Determine x*r(w) - 2*o(w).\nAnswer: 2*w**3 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -196*o**2 + o. Let a(g) = 4*g**2 + 30. Let w(s) = -5*s**2 - 25. Let v(c) = 5*a(c) + 6*w(c). What is f(v(h))?\nAnswer: -19600*h**4 - 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-1)*(-44)\/(-55). What is the third derivative of p**2 - 90*p**f + 91*p**4 + 6*p**2 wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*a + 169 = 2*d, -344 = -4*d + 4*a. Suppose 73 = 4*m - 5*w, -3*m + d = 2*m - 5*w. Solve -2*h + m = 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 135*m - 15. Let u(n) = 116*n - 13. Let h(x) = 6*k(x) - 7*u(x). Let a(l) = -l + 1. Calculate -3*a(o) + 2*h(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46*(-50)\/(-1840)*2\/(-3).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 7:14 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 853 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10324274 rounded to the nearest 100000?\nAnswer: -10300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/1330 and 37\/20837110?\nAnswer: 20837110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -45744, -1, 2845 in decreasing order.\nAnswer: 2845, -1, -45744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (245 - 213) + 4 + 13 + 4?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -110, -161, -222, -299, -398, -525, -686?\n\"Answer: -j**3 + j**2 - 47*j - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -n - 4*y - 20, -40*y + 21 = -2*n - 35*y for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/32)\/(-1)*(-8)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 plus 4444852883?\nAnswer: 4444852876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 32*w + 1. What is the units digit of u(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3177d0 + 243?\nAnswer: -31758b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 + 184 + -83 + (1 - 1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = 83*v + 126. Put -5, v, 49 in increasing order.\nAnswer: -5, v, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(3*-1)*1687392\/11718.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*v + 24*v = -28 - 77 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57869.97 centuries in decades?\nAnswer: 578699.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 0.039 (b) 1 (c) 0.05 (d) 4 (e) 203 (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036 plus 7421?\nAnswer: 7420.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (11 + -28 - -10 - -1 - -12) - -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (-25)\/(-5)*343\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -3, 2705, -7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 403037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 272301563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33.197162631 and -156.\nAnswer: -122.802837369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 + 99. Suppose -q*f + 12*f + 104 = 0. Solve -f = 3*i - 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*x + 5*k + 22, -4*k = 2*x. Let a(q) = -q**3 + 4*q**2 - q - 3. Calculate the remainder when x is divided by a(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 3*a**2 - 2. Let n be i(2). Suppose -2*q - 5 = d - n, 4*q = 5*d - 13. Suppose 0 + d = f. Solve 2*p - f = 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*t - 2*k + 676, 4*t - 4*k = 664. Suppose -h - 3*h - 2*r + t = 0, 0 = h - 2*r - 32. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49616, 99205, 148794, 198383, 247972?\nAnswer: 297561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((72\/20)\/(-3))\/(2\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 30, -34, -112, -198, -286?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t + 8 = 0. Let c be (-2)\/((-2)\/t + -1). Let b be 22\/4 + c\/8. Solve 5*l - 5*v - 30 = 0, -b*l + 2*v + 14 = -2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 122 = -s + 5*v, -118 = -3*s + v. Suppose 4*h = 179 - 7. Let z = h + -17. Calculate the greatest common divisor of s and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -5 - -1 - 0) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302 + 309 = 5*l - 3*u, 3*l + 3 = 3*u. Let o(r) = 4*r - 29. Determine o(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 - 104 - 20*s**2 - 2*s**2 + 71 + 33.\nAnswer: -25*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 - -5)*(-1)\/2. Suppose -2*s = -2*r - 3*r - 19, -2*s - 2 = j*r. Suppose 9*u - 7*u + 9 = x, 4 = -u. Sort s, x, -7.\nAnswer: -7, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 1403477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 878371 and 2873.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4151 + -4127.09. Let c = 17 + -41. Let k = c + w. Is k at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 197.386749 minutes to weeks.\nAnswer: 0.01958201875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261*g - 215*g - 194672 = 0. Is 92 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + v**2 - v. Let l(z) = z**3 - 13*z**2 - 8*z - 3. Suppose 8 = f - 5*f. Let i(s) = f*o(s) - l(s). List the prime factors of i(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -37 - -25?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 0.5, -4, 0.48, 4, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -27*q + 58. Let v be x(2). Solve v*w - 17 - 3 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**6\/d))**(-12))**(-1\/57) assuming d is positive.\nAnswer: d**(-16\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-678))\/((-3)\/(-9) - 0). Suppose -g - 9 = -10. Which is bigger: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1354 + 6789\/5. What is the smallest value in -0.02, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 252, 5, 0.\nAnswer: -3, -2, 0, 5, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -221592 * 16.\nAnswer: -3545472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31116 or 34678?\nAnswer: 31116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 194624 divided by 2\nAnswer: 97312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66 by 130.\nAnswer: 33\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, 67, 0.2?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 2*g - 5*q, 0*q + 3*q - 234 = -5*g. Solve 3*y + 12 = 0, -3*b - 19 + g = -5*y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.005 + -65.005. Let a = u + 65.031. What is a rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603076.\nAnswer: 2, 150769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**0*g\/(g**(2\/15)\/g)*g**1\/(g\/(g*g**(-1\/3))*g) assuming g is positive.\nAnswer: g**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 23. Suppose 3*u - 9 + d = 0. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-360)\/28)\/((-9)\/(-42)). Let x = p + 108. Suppose k - 4*k + x = 5*s, 0 = 3*s + 5*k - 32. What is the remainder when 26 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -193*z - z**2 + 84 + 149 - 84 + 149 + 54 wrt z.\nAnswer: -2*z - 193","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h**2 + 2*h + 1. Let c be n(-1). Let j be (-1)\/(45\/10 - c). Solve j*r + 0*r = 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25*2*(1 + 9\/(-6)). Does 8 divide ((-60)\/x)\/(-4) + 166\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 + 21 + 49 - -53?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 0 - 15. Suppose x - b*d - 9 = 0, -4*d - 111 + 11 = -4*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -2*d**4 - 7*d**3\/6 - 3*d**2. Is o(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18813143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1745.\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 58\/5 and -82794 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*(-6)\/36 + (-169)\/3. Let a = -55 - f. Sort 1, a, -5, 3 in descending order.\nAnswer: 3, a, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 97 = 3*b. Suppose -44 + b = -2*o. Let -4*s**2 - 5*s**2 + 410*s**3 - 407*s**o = 0. What is s?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55068901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -61. Let u = k + 31.07. What is the second biggest value in 1\/6, u, -3\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 7 - 6 - (2 + -4 + -4).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 3:42 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 9:08 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*j**3\/5 - 256*j**2\/5 - 2104*j\/5 + 96 = 0. Calculate j.\nAnswer: -6, 2\/9, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lylllhhhpfl. What is prob of sequence hllf?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 0.8, -2\/3, 0, -1?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 422*i**2 - 6. Let t(n) = 421*n**2 - 8. Give -3*h(x) + 2*t(x).\nAnswer: -424*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + (-94)\/10)\/((-15)\/(-50)). What are the prime factors of ((-13560)\/(-420))\/((-2)\/r)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63*a**4 + 129*a**3 - 5*a**2 - 3317.\nAnswer: 1512*a + 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 36. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42 + -12 - 23) + (-28 - -4).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -62, -94, -100, -68, 14, 158, 376?\n\"Answer: 2*b**3 + b**2 - 49*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -501 times -2\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -40 and -0.007.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/2*(-7172)\/55. Let d = r - -329. Solve -j - h - d = -9, -2*h + 18 = 4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b - 1. Let p be ((-4)\/10)\/((-216)\/540). Let r(o) = -o - 1. Calculate p*r(t) + j(t).\nAnswer: -5*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1765.6 - 0.364503\nAnswer: -1765.964503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3537811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*z = -15064. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42393 and 1326.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/694 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*t**2 - 3*t**3 - 12*t**2 + (t - t**2 - t)*(-t - t + 0*t) - 3*t**3 + 3*t**3 + 2*t**3 - 4*t**3 + 20*t**3 + 0*t**3.\nAnswer: 17*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 61573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 4. Let f be (x\/(-2))\/((-4)\/(-8)). Suppose 4*b + 3 = 3*r + 2, r = 4*b - f. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, z: 12}. Give prob of picking 1 n and 2 z.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 3:43 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**2 - 8*y - 9. Let w(t) = t**2 + 3*t + 3. Let q(p) = -6*h(p) - 17*w(p). Suppose 0 = -5*u + 8 + 7. Calculate q(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*u + 1710, 2*v - 4*u = 705 + 441. Calculate the greatest common divisor of v and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80818625189324.40000105 - -80818636207467. Let u = t + -11018137.8. Let y = u + -4.8. What is y rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 326.3374 centuries in millennia?\nAnswer: 32.63374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7622729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15006)\/(-6) - -2)*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2240, -17908, -60412, -143162, -279568, -483040, -766988?\n\"Answer: -2235*b**3 - 8*b**2 + b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 - (30 + -33) - 15.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v**2 + 2*v - 1. Let u be y(-2). Suppose -33*d = -u*d - 140. Solve -4*j + d = -5*s, 6 - 22 = 2*s - 4*j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -21, -28?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.049 * -5.8\nAnswer: -0.2842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -5058, 5 in descending order.\nAnswer: 5, -1, -3, -5058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 28*w. Let b be (-98)\/147*9\/(-2). Let a(u) = 10*u - b*u + u - 4*u - 3*u. Calculate a(l(v)).\nAnswer: v**2 + 28*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 18, 2.\nAnswer: 1, 2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -990*u**3 - 35*u - 92211 with respect to u.\nAnswer: -2970*u**2 - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 108*q**3 - 4*q - 102*q**3 + 5 - 22*q + 9*q. Let m(s) = -9*s**3 + 26*s - 7. What is -5*m(k) - 7*y(k)?\nAnswer: 3*k**3 - 11*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 902, 55, 2, -4, -3, 4 in ascending order.\nAnswer: -4, -3, 2, 4, 55, 902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 521 + -521. Let g = -0.18 + 0.2. Let j = -0.28 - g. Which is the nearest to 0.1? (a) v (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/5751 and -70\/81.\nAnswer: 5751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 1. Suppose 4*a - 2*b = m, 0 = -0*a + 5*a + 4*b - 5. Differentiate -2*v**4 - v**4 - 2 - 7 + a wrt v.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - 23. Let o = -313 + 337. Calculate the highest common divisor of k and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(162) + 2 + sqrt(162) + 2 + -1 - (1 + sqrt(162)*-1 + 5))*2)**2.\nAnswer: -864*sqrt(2) + 5896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -1 - 4*k + 0*k**2 + 5*k + k**2 - 5*k**3. Let h be s(1). Let i(c) = -c + 1. Calculate i(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39*(-10)\/(-30) + (-15055)\/(-885) - (-3 - -7)?\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1007.638182 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32 and 26792.006?\nAnswer: 857344.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (845\/195)\/((17 - 12)\/(-40)*(-8)\/3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 407 divided by -2.\nAnswer: -407\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -12691, -1186 in descending order.\nAnswer: -5, -1186, -12691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 4*v - 4*v)*(2 + 2 - 5) + (0 + 1 - 3)*(-1 + 7 + 2)*(-116 - 5*v + 116).\nAnswer: 81*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1.53, 17581.\nAnswer: 1.53, 2, 17581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44020 divided by 16.\nAnswer: 11005\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from mmymkmmmmmkmymmmmymm?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/3 - (407\/33 + -13). Solve -q = 5*u - 6, 5*u - 3*q - v - 1 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3*l + 9, l + 0*l = -3*n + 11. Let c be (9\/2)\/(9\/24). Let a(t) = 2*t**2 + 4*t + 2. Let f be a(-2). Solve f*j = -n*j - c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 25 = -0*h - 2*i, -5*i + 25 = 0. Let t be (h - 4)\/(2\/(-8)). Let b(u) = 9*u**3 + 4*u**2 - u - 3. Is b(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**5\/160 + 3*h**4\/32 - h**3\/6 - 38*h - 39. Let m(s) be the first derivative of k(s). Factor m(q).\nAnswer: -q*(q - 8)*(q - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 5*j + 4. Let x be k(5). Let a(p) = 3*p**3 - 10*p**2 + 36*p - 51. Let v be a(2). Solve 0 = l + 3*y + v, -l = 2*l + x*y + 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/5))**(1\/7)\/(j*j**(1\/3)\/j)**(-6\/23))**(-20\/3) assuming j is positive.\nAnswer: j**(-464\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 981, 37, 0, -1 in increasing order.\nAnswer: -1, 0, 4, 37, 981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 6.78\nAnswer: 10.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -v + 1, 2*v + 10 = 2*u - 0*v. Suppose -4*m + 3 = -u. Which is the biggest value? (a) -0.1 (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125240?\nAnswer: 2, 5, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/3*(-2 - -3). Let t(d) = 63 + 30*d**2 + 9*d**3 + 2*d**3 - 6*d**3 - 6*d**3 - 2*d. Let i be t(30). Solve 2*s = i*s - u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684868 is divided by 97838.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 5 - (23 - ((24 - -116) + -25))\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2. Let t(d) = -d + 5*d + 4 - 4. Calculate w(t(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z. Let r(u) = -48283 + 330*u + 48282 + 12*u. What is r(q(t))?\nAnswer: 342*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(1701\/(-462))*(-273)\/(-77)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-429*(1 - 0). Let m be -4 - ((-56)\/(-2) + 0). Let t = m - w. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 12 = z. Let v(a) = z*a - 2 - 5*a - 3*a. Let k be v(-2). What is the greatest common factor of k and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 26*t**2 - 2*t. Calculate the remainder when k(-2) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122586 - 61294 - 8*u**2 - 61264 + 10*u to v + n*u**2 + r*u and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 10*o**3 + 0 + o**3 + o - o + (-o + 3*o - o)*(2*o**2 - 1 + 1) - o**3 + 3*o**3 + 0*o**3)*(-1 + 3*o - o - 1).\nAnswer: 30*o**4 - 30*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 18*n**3 - 8*n**2 - 7*n - 8. Let k be z(5). Calculate the remainder when (10\/15*1)\/(6\/k) is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 10\/3*s**3 + 0*s**2 + 0*s - 7\/5*s**5 - 6 + 0*s**4. What is the third derivative of a(l) wrt l?\nAnswer: -168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6*z**3 - 6*z**2 + 3*z. Let g(u) = 5*u**3 + 7*u**2 - 4*u. Let a(x) = -4*g(x) - 5*w(x). Determine a(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 6*k - 5*s + 58, 2*k = 3*s + 21 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f**2 - 2*f**2 + f**2)*(4*f**2 - f**2 - 2*f**2 + (0*f - 3*f - f)*(-2*f - f + 5*f)) in the form o + v*f + p*f**2 + b*f**3 + y*f**4 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.34184 microseconds to milliseconds.\nAnswer: 0.00434184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + (sqrt(3) + sqrt(15)\/sqrt(5))**2).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 18 = 3*q, -24 = -4*d + 3*q - 4*q. Let c be 10\/d + -9*80\/(-216). Solve r - 2 + c = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -423, -420, -409, -384, -339, -268?\n\"Answer: m**3 - 2*m**2 + 2*m - 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28438, -27356, -26268, -25174, -24074, -22968?\n\"Answer: 3*d**2 + 1073*d - 29514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**2 + 3*u + 1. Let c = 183 - 185. What is z(c)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -189*p**3 - 9*p**2 - 6*p + 5. Let g(f) = -379*f**3 - 18*f**2 - 13*f + 9. Let u(l) = -6*g(l) + 13*t(l). What is the third derivative of u(i) wrt i?\nAnswer: -1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*g - 3*g - 4*v, -8 = 2*g + 4*v. Suppose -g*c - 12 = 0, 0 = -3*r - r + 5*c + 647. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2\/11 (b) -1 (c) -190850969 (d) -3\/4 (e) 1 (f) -1\/3 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 8. Let s be (-2)\/5 + o\/(-15). Suppose s = g + 2, 2 = -3*d - 5*g - 2. Are d and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415 a factor of 8249640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g**2 - 5*g + 5. Let o(t) = 6*t**2 + 7*t - 7. Let d(k) = 7*b(k) + 5*o(k). Let h(y) = -2*y + 3*y + 0*y. Calculate h(d(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 9. Let l(t) = t + 9. Let n(h) = 5*l(h) + 6*p(h). Determine n(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.22 + -4.78. What is the closest to 2 in -1, -1\/3, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 39149.72l?\nAnswer: 39149720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, y: 1, x: 1, q: 1, s: 5}. What is prob of sequence yh?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggc when three letters picked without replacement from {g: 4, b: 4, c: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - y - 2*y)*(-234*y**2 + 168*y**2 + 141*y**2).\nAnswer: -75*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/7))**(-1\/7))**3\/((d**(3\/7))**(-40))**(-7\/4) assuming d is positive.\nAnswer: d**(-1497\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*d + 19*d + 300. Let v be d\/8*-4 + 0. What is the remainder when 37 is divided by (-101)\/(-5) + 6\/v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 15 + 5. Suppose 2*d = i + a*i + 6, 2*i = 2*d - 8. Solve 3*k + 0 - d = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248, 1050, 2378, 4226, 6588?\nAnswer: 9458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0)*(5 + -4). Let d be r*-2 + (-16)\/4. Let y = 8 + d. Solve -4*t = -6*t + y*n + 10, -2*n = 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 7 - 27 = 0. Suppose 6 = x*z - 4. Let y be 585\/z*400\/(-15). What is y rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**8\/560 + d**4\/8 - 2*d**3\/3 + 2*d. Let m(h) be the second derivative of x(h). What is the derivative of m(y) wrt y?\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -12*q**3 + q. Let o be y(-1). Let w(f) be the third derivative of f**4\/12 + f**3\/6 + 5*f**2. Let c(p) = 5*p + 3. Calculate o*w(k) - 4*c(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534062?\nAnswer: 2, 71, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 804156 to the nearest integer?\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 10*q**2 - 10*q + 1. Let o be a(9). Let u be o\/36 + 4\/18. Solve 5*m = z + 11 + 4, 2*z + m - 14 = u for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19540991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**10*(r\/r**(-2\/13))\/r)**(19\/6)\/((r\/((r*r**(2\/23))\/r*r))\/(r*r\/(r*r*r*r\/r**(-10)*r)))**(-2\/63) assuming r is positive.\nAnswer: r**(68156\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0*k + 4*k - 9, 5*k - 20 = -5*h. Solve -3*l + 3 = -3*r, r - 18 = k*l + 5*r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h + 11. Let m be k(-4). What is the nearest to 1 in 2\/9, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 358 + -356. What is the nearest to a in -1\/3, -3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1222?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 2 (c) 17 (d) -36\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/((-2200)\/75)*(-20)\/(-255).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -3. Suppose 0 = 4*f - q*o - 10, 2*o - 3*o = -2. Let j(t) = -t**2 + 7*t. Calculate the least common multiple of 2 and j(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17775 and 8508.\nAnswer: 50409900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -743196*v**2 - 345*v + 942?\nAnswer: -1486392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 8*q + 2. Let n be f(10). Suppose -n + 10 = -6*m. What is the remainder when 27*m\/8*8 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 997 + -8003\/8. Find the common denominator of -11\/48 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 13*q**2 - 8*q - 2. Let s be n(12). Suppose 92 = 2*z - 0*z. Let o(i) = 2*i + z - s. Let f(t) = -2*t**2. Give f(o(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 229*o - 212*o - 2006. Solve -o*c = -119*c - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m - 17*m**3 + 14*m**2 - 5*m - 16*m**2. Let j(b) = -8*b**3 - b**2 - 3*b. Let p(q) = -7*j(q) + 3*x(q). What is the third derivative of p(w) wrt w?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**2 + 396*g - 5512. Let q = 576 - 186. What is the remainder when q is divided by t(16)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002403 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -21432 (base 7) in base 15?\nAnswer: -18c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a + 2. Let k(h) = -h**3 - 4*h**2 - 2*h + 7. Let j = -50 + 47. Let u be k(j). What is w(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l + 1. Let x be y(-2). Let z(c) = -4*c - 4. Let m(g) = -7*g - 7. Determine x*z(u) - 3*m(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a**3 - 4*a - 1. Let x(r) = 6*r**3 + 4*r + 1. What is -2*l(c) - 3*x(c)?\nAnswer: -4*c**3 - 4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6395*p + 57656. Calculate b(9).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1341 + -411?\nAnswer: -2302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 7:53 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i\/(((i*i**(-2\/7)*i)\/i)\/i)*i)*i)\/(i**(-2\/7)\/i)*i**3*i**(-2\/3)*(i**(1\/6)*i**2*i)\/((i*i**4*i)\/i**(-3\/7)) assuming i is positive.\nAnswer: i**(-27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1810539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 310 and 310.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 651878 is divided by 69.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(147))*2 - (sqrt(135)\/(2*sqrt(9)))\/sqrt(5).\nAnswer: 2 + 27*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from muaumusrsmur. Give prob of picking 1 m, 1 r, and 1 a.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -27, -23, 41, 201, 493, 953, 1617?\n\"Answer: 6*v**3 - 24*v**2 + 10*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + j - 6. What is q(5)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 11*y + 6. Let p(r) = -65*r - 35. Let x(o) = 137*o - 5034. Let j be x(37). What is j*a(d) + 6*p(d)?\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5229\/42*-4*1\/(-3). Let i = 402 - k. What is the units digit of i\/(-6)*(2 + 16)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106 and 4611?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**2 - m + 13*m**2 + m - 14*m**2.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 236*d**2*g**3*r + 903*d**2*g*r - d*g**2*r + g*r wrt g?\nAnswer: 1416*d**2*g*r - 2*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*m = 8*h - 15, 3 = h - 3*m. Let o(a) = -2*a + 0 + h + 1 + 3. Is 5 a factor of o(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.975802ns to hours.\nAnswer: 0.000000000006659945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-6))\/(105\/1323*14\/8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o - 1. Let d be p(-9). Let k(j) = j**3 - 7*j**2 - 8*j + 3. Let i be k(d). Let v be (i\/(-5))\/(-1 - 1). Is v <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*c**3 - 5 - 756*c**3 - 2575*c**3 + c**2 + 5 to r*c + j*c**3 + q + w*c**2 and give j.\nAnswer: -3393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009185 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/4 and -41\/1436.\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j**2 - 1. Let y be f(1). Suppose -3*p = y*a + a - 34, 0 = 3*p - a - 4. Suppose 0*w - p*w - 9 = 3*m, 3 = w - m. Which is smaller: w or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-12)*u\/((u*u**(-16)*u*u)\/u) assuming u is positive.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(11) - (3 + sqrt(11)))**2 + sqrt(11) + 2 + sqrt(396) + -4.\nAnswer: 3 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*l + 5*l**2 - 4*l - 18*l + 0*l.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85 - -97. Let l be ((-30)\/(-18))\/(1\/k). Let y = -1 - -3. Solve -3*w = y*w - l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*m + 125*m - 98958 = -1151*m - 29952 for m.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 + -0.03. Let l = -0.02 - y. Let a = -2.94 - l. Sort 3, 2, a.\nAnswer: a, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8115 rounded to the nearest one hundred?\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*i + 13*i + 105. Suppose i = 3*l + 9. Which is greater: l or 14\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15289, -30588, -45891, -61198, -76509, -91824?\n\"Answer: -2*o**2 - 15293*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1410 and 4.\nAnswer: -5640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-3)*(-4655)\/7. Let h = y + -575. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/99 - 924234\/(-27) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, q: 12}. What is prob of picking 4 q?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 13*q + 8 = 0. Suppose 0 = -q*w + 12, 0 = -5*a + 3*w - 4*w + 263. What is the smallest common multiple of a and 22?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*p = -38, -3*m = -4*p + 5*p - 23. Let q(x) = -x**3 + 8*x**2 + 2*x - 9. Let s be q(m). What is the greatest common factor of s and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((0\/1)\/(-1) + -1). Suppose -5*y = -4*m - 8*y - i, 2*m - 19 = 5*y. Which is the closest to -2\/7? (a) m (b) 0.1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -846, -1693, -2544, -3399, -4258, -5121?\n\"Answer: -2*j**2 - 841*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**4\/7 + 238*q**3 + 341004*q**2\/7 - 357120*q - 907200 = 0.\nAnswer: -420, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -34.2. Let s = -0.8 - w. Which is the second biggest value? (a) -1\/2 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 139619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 2822 - 94 = 0. Suppose 105*v = t*v - 76. Let q be 0*1\/4*2. What is the closest to -1 in -18\/5, v, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - -4. Suppose 0 = 3*l - n, 5*l = 3*h + h + 248015. What is h rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x - 3. Let l(c) = -c**3 - 3*c**2 - 3*c. Let n be l(-3). Is 8 a factor of u(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -116. Let k = -27 + b. Is k a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*z - 43*z - 22 = -c, 4*z - 92 = -3*c. What is the remainder when 158 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/((q**(-4)\/q)\/q))*q**5*q)\/(q\/q**1)**17 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (315\/2520)\/((-1)\/(-72))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 3*i + 2*i + 163, -3*i = 4*s - 339. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - n + 24 = 0, -463*o = -458*o - 5*n + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -2223011?\nAnswer: -2223010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, p: 11, u: 4, m: 1}. What is prob of sequence puup?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.9, 1\/3, 0.26, 2, 1\/2?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**2 - 9*l + 3. Let m(o) = -6*o**2 + 10*o - 3. Let a(g) = 4*m(g) + 5*w(g). Let z be a(7). Suppose -12*i - 340 = -z*i. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*k**2 - 13*k - 5*k + 18*k.\nAnswer: 47*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -89718 minus -0.024?\nAnswer: -89717.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1638571?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*n**4 - 11*n**3*v**2 - 16*n*v**2 + 7*v**2 wrt n?\nAnswer: 156*n**2 - 66*n*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-42)*(-106)\/(-265)*(-10)\/(-129).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/5 - 1104*p**2\/5 - 1106*p\/5.\nAnswer: 2*p*(p - 553)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7413.2 - -7413. Which is the closest to v? (a) 2\/9 (b) 1\/3 (c) 38 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**5 + 95*x**4\/2 + 65*x**3 - 288. Solve w(y) = 0.\nAnswer: -1, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 81*d**2 + 201*d + 3401. Give h(-79).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61370071.\nAnswer: 7, 41, 213833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 775*w**2 - w - 772*w**2)*(w**3 - 2*w**3 + 0*w**3).\nAnswer: -3*w**5 + w**4 - 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 47 = -29*k + 47. Let j be (2 + 1)*20\/12. Suppose 9 = 4*h - 11, -j*t - 10 = -5*h. Sort t, -5, k in increasing order.\nAnswer: -5, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 5. Let c be 5 - l - 1 - 2. Let j(i) = 2*i + 1. What is j(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130893524 to the power of 1\/2, to the nearest integer?\nAnswer: 11441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 467032 and 700548.\nAnswer: 1401096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163809 is divided by 9634.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n**2 + 7185*n - n**2 - 6405*n)*(22 - 17 + 24) - 4*n**2 + n**2 + 2*n**2 to v*n**2 + y + k*n and give k.\nAnswer: 22620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4251 divided by -12?\nAnswer: -1417\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 20 - 53 + 29 - 1247*q**3.\nAnswer: -1247*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-66)\/6 - -5)*(-7)\/2. Let q be 1 - (-1 + 3) - (-28 + 2). Solve f*b - q*b - 20 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-22) + (-1629)\/(-5346))*3?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 33 + 15. Suppose 5*t = 4*o + z, -3*o - 2*o - 10 = -5*t. Solve -3*l + l = -2*g + 4, -o*g = -2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 503\/3 - 167. What is o in -2\/3*o + 7\/3*o**2 + y*o**3 + 0 - 7\/3*o**4 = 0?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21734038 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 118. Give l(19).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -4. Suppose 5*l - n*c = 298, -l - c = -4*c - 53. Suppose 489 = 65*z - l*z. List the prime factors of z.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 232? (a) -3\/5 (b) -0.78427 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -795.1?\nAnswer: 795.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*b**2 - 356*b**2 + 612*b**3 + 175*b**2.\nAnswer: 612*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*j**2*o**2 + 11*j**2*o - 399*j**2 + 20*o**4 wrt o?\nAnswer: -8*j**2*o + 11*j**2 + 80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -232*o**3 - 5*o**2 + 11*o. Let q(i) = -77*i**3 - 2*i**2 + 4*i. What is -11*q(f) + 4*z(f)?\nAnswer: -81*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*d + 13 = 0, d = -5*a - 0 + 10. Sort 4, -3, 13, a.\nAnswer: -3, a, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1553\/2 - 969. Is t at least -192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 68241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*u + 18 = 4, 0 = -t + 4*u + 32. Let f(g) = 3*g - 18. Is f(t) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5.4, 1, 19, -1\/2?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 1544 + 616. Calculate the highest common factor of d and 576.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 21748\nAnswer: -10874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1031*h - 658*h**3 + 1101*h + 521*h + 3343*h**3 wrt h.\nAnswer: 16110*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 3, -3*g + 0*u - 76976 = 4*u. Let s(h) = 472*h**2 - 5*h - 2. Let z be s(6). Let n = g + z. What is n rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94879.48cm in kilometers?\nAnswer: 0.9487948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/(-11)*(-4)\/(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -920 (b) -2\/5 (c) 9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-14) + (-3)\/(105\/200).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51737*g**2 + 890*g*y + 5*y - 8139456 wrt g.\nAnswer: -103474*g + 890*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from wwddddddddddss.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5 + 3*n - 5 + 3*n**2 + 2. Let j be m(-2). Let w = 18 - j. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, r: 4}. Give prob of picking 1 r and 1 l.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2472*g**2 - 2634*g**2 - 1888*g**2 - 12907*g**2.\nAnswer: -14957*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(540)\/sqrt(10))\/sqrt(3) + -2*(sqrt(200) + 2)))**2.\nAnswer: 136*sqrt(2) + 594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-27)*3)\/((-20)\/(-30))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**3 - 195*u**2\/4 - 99*u\/2 - 220. Factor c(p).\nAnswer: 3*(p - 33)*(2*p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 8 - 4. Let x be 3 - (1 - (-12)\/5). Which is smaller: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 325 = 49. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 57 = -c, 2*c = 2*w + 57 + 57. Suppose 0 = -4*u + 105 - c. Calculate the greatest common factor of u and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**3 - 129266*y**2\/3 - 1722424*y\/3 + 401912 = 0.\nAnswer: -21531, -14, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - 56. Let i(h) = 2*h - 15 + 3*h + 20 - x*h. Suppose -4*c - z - 3 = -2*c, 0 = z - 5. Determine i(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.0616199 to the nearest integer.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 47814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-4))\/(3\/(-8)). Let v = j + 26. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-240)\/66)\/(-10))\/((-342)\/(-1045))\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/((v**(-2\/11)\/v)\/v))\/(v**1*v) assuming v is positive.\nAnswer: v**(24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 19 + 0*n**2 - 3*n**2 + 4*n**2 to q*n**2 + w + u*n and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/39)*a**(-19)*((a**(-10)*a)\/a)\/(a**(-27)*a))**(-5) assuming a is positive.\nAnswer: a**(385\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -105 - -3220162?\nAnswer: 3220055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by (207\/36 + 1)\/(9\/24).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**4 + 110287*j**3 + 385014*j**2 wrt j.\nAnswer: 72*j + 661722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**7\/(y\/(y\/(y**(-8)\/y)))*(y\/(y**(3\/5)*y))\/(y\/y**(1\/2))*((y\/y**(-2\/15))\/y*y*y**(-2\/11))**35 assuming y is positive.\nAnswer: y**(15907\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 11:57 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6900 + 18795. Let y(z) = 39*z**2 + 11895 - v. Let g(a) = 2*a. Determine g(y(k)).\nAnswer: 78*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 237287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (0 - (4 + (-1 - -4)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30427*-0.2.\nAnswer: -6085.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 7. Let i be ((-2)\/n)\/(4\/20). Let v = -949 - -951. Solve -v = -i*u + 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 2*z**2 - 2*z + 94. Does 11 divide n(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (109\/3 - (-8)\/12) + 2.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n - 6. Let p(g) be the first derivative of 2*g**3\/3 + 9. Determine p(u(s)).\nAnswer: 18*s**2 + 72*s + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**3 + 140325*j**2 + 4925090952*j + 162375223428 = 0.\nAnswer: -70146, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 10*a + 5. Let j be x(10). Let f(n) = n**2 - 5*n + 1. Let w be f(j). Is (w\/2)\/(4\/536) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -29*v + 33*v + 256, 133*v - 136*v - 4*i = 157 for v.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(77) - (sqrt(77) + -4*sqrt(77) - sqrt(77))))\/(2*sqrt(252))*-3.\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5364a (base 14) to base 6\nAnswer: -4153042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2684 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -10*b - 34. Suppose 0 = -x + 1, -39*x + 38*x + 7 = 3*i. Let f(c) = 3*c + 11. Calculate i*g(n) + 7*f(n).\nAnswer: n + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19432033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 8 - 0. Suppose -4 = -b*t + 22. Suppose s = 9 + 13. Calculate the remainder when s is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54236141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1363449 by -1.\nAnswer: -1363449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2776 a factor of 2451208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 3725*m - 3740*m + 12, x - 3 = 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3823 + 2729. Let f = o - -15345\/14. Find the common denominator of 602\/24 + (-2)\/6 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1051*h = 2034*h - 1042*h + 531 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -17*z + 2. Determine i(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1356 = -48*k + 708. Let j be ((-8)\/(k + -3))\/(-1). Find n such that 0*n**2 + 1\/5*n**5 + j*n + 0 - 2\/5*n**3 + 0*n**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1963 + 3799?\nAnswer: 5762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -97.1562 and -120.49744.\nAnswer: -217.65364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-6) - (-66)\/4. Let u(z) = -4*z - 2. Let h(o) = -8*o - 9. Let l(v) = -v + 1. Let b(f) = h(f) + 3*l(f). Determine x*u(s) - 6*b(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-134*s**3 - 134*s**3 + 270*s**3 + 412*s)*(3*s + 0*s - 2*s) + s**2 + 3*s**4 - s**2 in the form z + r*s**3 + t*s**2 + l*s + a*s**4 and give t.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*d. Suppose d = -5*x + 1 + 14. Solve s = -x + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35518002 divided by -29378?\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.86 - 0.14. Which is the smallest value? (a) -5 (b) m (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 19*v = -16. Suppose v*r - q = 7, 3*q - 15 = -5*r + 5*q. Suppose 9*j - 4*j = -20. Put -1, 4, r, j in decreasing order.\nAnswer: 4, r, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-6)*6\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 9 = -3*d, -23 = -3*h + 2*d + 3*d for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 973 and 556?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-684)\/39 - 11*(-216)\/(-5148).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7918 or 58495?\nAnswer: 58495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3084?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.2 rounded to 1 dp?\nAnswer: 20.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649 = -15*s - 919 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 85750*r**5\/11 - 757050*r**4\/11 - 988960*r**3\/11 - 154544*r**2\/11 - 8544*r\/11 - 160\/11 = 0.\nAnswer: -1, -2\/35, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 1. Let v be (l - 1*-10) + -3. Suppose v*c - 8*c = -3*z + 43, -25 = -5*z. Let s(f) = f + 8. Give s(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 212296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1018 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3678, 7355, 11030, 14703?\n\"Answer: -g**2 + 3680*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 1934.\nAnswer: 11604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**2 + 53*j - 12. Let y(a) = -3*a**2 - 35*a + 8. Suppose 8*w - 58 = 486. Let n = w - 76. Let t(h) = n*y(h) - 5*c(h). Factor t(f).\nAnswer: (f + 4)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.31 + 0.3. Let t = -3.01 - a. Let g be (-6)\/63*4\/(40\/(-15)). Which is bigger: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5424 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5213296 is divided by 21192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 276.741 - 279. Let v = 1.566 + r. Let k = v - 4.927. What is k rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -369*d + 72*d - 23*d**2 - 56*d**2 - d**3.\nAnswer: -d**3 - 79*d**2 - 297*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7618 = 4*y - 6*q + 3*q, -2*y = -q - 3808. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + 16 + -13 + -4 + -10 + -1?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 238. Let p be h\/5 + 54\/135. Is p less than -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9182560 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*q - z, z + 0 = -1. Let l = -1 - q. Let v be 12\/4 + 1\/1. Solve 4*a = l*t - t - 8, v*t = -5*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 4*g**2 + 7*g + 6. Let j be q(-6). Let x = j + -16. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6885.721 * -0.5.\nAnswer: 3442.8605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of w**2 + 3*w + 3. Let o be d(5). Suppose -6*c + 54 = -102. What is the greatest common divisor of c and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - u + u. Let o(x) = 4*x**2 + 1. Calculate v(o(n)).\nAnswer: 16*n**4 + 8*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/9197 and 89\/1082.\nAnswer: 18394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s + 14*s - 16. Let o(m) = -84*m**2 + 49*m + 49. Let n(a) = -7*a**2 + 4*a + 4. Let u(w) = s*o(w) - 49*n(w). Let k(r) = r. Give u(k(j)).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -236147, -236144, -236121, -236072, -235991, -235872, -235709, -235496?\n\"Answer: f**3 + 4*f**2 - 16*f - 236136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - (-2 - 1))*(-6 - -3). Suppose -q*u - 4*u = -14. Suppose u*o - 32 = -5*l + 3*o, -2*l = -4*o - 2. Calculate the highest common divisor of l and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 614 or -36087?\nAnswer: -36087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*m + 26363 = -81*m + 44*m + 9253 for m.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 25. Let l be 5 - (-3 - n) - 4. Suppose 4*q - 28 = 2*q + r, l*q - 5*r - 56 = 0. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 18790.341 months?\nAnswer: 1.56586175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 11:23 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) -0.4 (c) 84.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*t = -96*t. Are 90 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/4))**11\/(r*r*r**2*r**2))\/((r**(-2)*r**6)\/((r\/(r\/(r*r*(r*r*r**(-3)\/r)\/r)*r*r*r))\/r*r**(2\/9))) assuming r is positive.\nAnswer: r**(-433\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/169 - 181\/1014. Let f = 341 + -342. Suppose -456*p + 442*p = 28. Which is the second biggest value? (a) 2 (b) f (c) q (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 18*c + 28. Give q(18).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 654, 668, 684, 702, 722?\n\"Answer: c**2 + 11*c + 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-145)\/((-7975)\/22))\/(4\/90*21).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5741377 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c + 14 = 5*o - 1, -2*c + 5*o + 35 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2111321 - 2234430?\nAnswer: -123104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -22*k + 4. Suppose -46*c - 6 = -51*c + l, -2*l + 8 = 0. Let h(z) = 3*z**2 - 2*z**2 + 2*z**2 - 2*z**2 + 0*z**c. What is r(h(q))?\nAnswer: -22*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2052 + 0.08\nAnswer: -2051.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*d)*(71*d - 78 + 78).\nAnswer: -213*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2254)\/(-637)*13\/2\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -997436 and -306.\nAnswer: 305215416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 4697.\nAnswer: -4699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -399.17 and 0.03?\nAnswer: 399.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b = 60. Calculate the common denominator of 1\/6 and 214\/(-18)*(-30)\/b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10767310 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 79, 176, 323, 526, 791, 1124, 1531?\nAnswer: 2018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**5 + 925*b**4 + 75345*b**3 - 77185*b**2 - 75340*b + 76260 = 0. Calculate b.\nAnswer: -62, -1, 1, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -951, -1304, -1657, -2010?\nAnswer: -2363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72517, -72485, -72441, -72385, -72317, -72237?\nAnswer: -72145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89.1 + 95.1. What is the biggest value in v, 1\/2, 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - -3288a?\nAnswer: 3289a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1902 + 1755 = -21*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 + 0 = v, -o - 3*v = -4. Let a be (-4 - (-88)\/20)*(-61)\/122. What is the closest to 1\/9 in a, 5, 1, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -41, -94, -135, -158, -157, -126, -59?\n\"Answer: z**3 - 60*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2110010 (base 3) to base 13\nAnswer: -a74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*h - 320 = -0*c, 3*h = 5*c - 400. Let o = -78 + c. Let a = -11 + 15. Solve 14 = -o*m + a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 18*r - 20*r + 49 = 0, 5*w + 4*r + 245 = 0. What is the least common multiple of (2 - (-168)\/w)*-21 and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 460 and 736?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510825373?\nAnswer: 1663, 307171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 334350 divided by 6?\nAnswer: 55725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1778 and 2154194.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 15*t**2 + 4*t + 9. Let x be n(-2). Let m(r) = -130*r + 66*r + x*r. Let b(k) = 1 - 3*k - 1. What is b(m(w))?\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -322033123 - -2?\nAnswer: -322033121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2726125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1284894, 0.45, 1\/5 in descending order.\nAnswer: 1284894, 0.45, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 67, 70, 73, 76?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 47*c**3 - 5*c**2 + 4*c - 5. Let b(m) = 118*m**3 - 12*m**2 + 10*m - 12. Let g(l) = -5*b(l) + 12*i(l). What is the second derivative of g(o) wrt o?\nAnswer: -156*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21510 by 2.\nAnswer: -10755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8\/3*6999\/102652\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 606641137?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 - 10*o**2 + 16*o + 60. Let i be g(-6). Solve -2*u = 10*u - i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 490 and 3850.\nAnswer: 26950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -1. Let n = 5 + -3. Suppose -f*k - 3*u + 9 = 0, n*u - 6 = 3*k - 4*k. Solve k = 5*w - 17 - 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/5 - 76928*f\/5 - 42917692\/5.\nAnswer: -(f + 562)*(f + 76366)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38370 - -38379. Let 1\/2*q**4 + j*q**2 - 10*q + 4 - 7\/2*q**3 = 0. What is q?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xicx when four letters picked without replacement from {y: 3, k: 1, c: 1, x: 6, w: 6, i: 1}?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 302\/18 + 28\/126. Which is smaller: m or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**4 + 13*s**3 + 17*s**2 + 9*s. Let z(n) = -4*n**4 + 40*n**3 + 52*n**2 + 28*n. Let a(x) = 10*r(x) - 3*z(x). Factor a(o).\nAnswer: 2*o*(o + 1)**2*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 2*m**2 + m - 2. Let t be c(-2). Suppose 4*u - 100 = -0*u. Let a be (t\/(-70))\/((-5)\/u). Is -3\/2 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8259 - 543?\nAnswer: -8802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 3. Let m(x) = 6*x + 16. Suppose 3*a = -5*p + 26, 37 = 5*a + p + p. Let k = 9 - a. Calculate k*m(g) - 11*s(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 10*k**3 - 186*k**2 + 774*k - 11998. Calculate u(18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z - 3. Let y be b(-5). Let t be 2 + -2 - (y - 2). Let c(a) = -a**2 + 3*a + 50. Let p be c(-5). Calculate the highest common factor of p and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23318745 > 23318758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2913, -23356, -78897, -187104, -365545?\n\"Answer: -2928*s**3 + 19*s**2 - 4*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 325109?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 199\/56550 and 121\/90?\nAnswer: 169650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*2 + (sqrt(208) - (sqrt(208) + 1 + 2)))**2.\nAnswer: -120*sqrt(13) + 5209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**5\/20 + n**4\/12 - n**3\/6 + 13*n**2\/2 - 2*n. Let l be r(0). What is the greatest common divisor of 65 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -h - 5750410. Let c = 8524795 - h. Round c to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 6. Let l be j(-9). Let o = -7\/3 + l. Which is the second biggest value? (a) o (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5203 times -122978?\nAnswer: 639854534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {s: 5, l: 7, e: 1}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 78.65444cm?\nAnswer: 786544.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-20)*b*b)\/b*(b\/b**(-30))\/b)\/((b*b\/b**(-3\/16))\/b)**(-24) assuming b is positive.\nAnswer: b**(79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44294 + 73885. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00023751 rounded to six dps?\nAnswer: 0.000238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -463792875994 - -913\nAnswer: -463792875081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (6\/10 - 2). Let t = -1882 + 1882.14. Which is the closest to -1? (a) x (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1611 + 1607. Sort 0.09, h, -0.5, 1.\nAnswer: h, -0.5, 0.09, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 168.5678 + -42.567055. Let z = -126 + w. What is z rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -583763, -1167729, -1751901, -2336279?\nAnswer: -2920863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**2 - 45*j**2 + 19*j**2)*(-4*j + 2*j + 3*j + (4*j + 19*j - 3*j)*(6 - 4 - 1)).\nAnswer: -672*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100100110011110010001 + -110010101?\nAnswer: -1100100110100100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.005 + -45.715. Let g = -35 - m. Let t = -13 + g. Round t to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*h - 4 = -2*v, 4*v - h - 14 = 0. Find the first derivative of -12 + 5*w**3 + 4 - 10*w**v - 1 wrt w.\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/17 - 1003896*r\/17 + 125975897352\/17.\nAnswer: 2*(r - 250974)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -1\/3, -25, 1\/2, -34?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxcwcjjrxxcjcjcr. What is prob of picking 1 j and 2 x?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 11) + ((-39338)\/267)\/(-13)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + m - 684 = 5*v, 3*v - m = 1036. Calculate the greatest common factor of 43 and v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*k - q, -117 = -2*k + 4*q - 115. Solve -2*t - 9 = z, 0 = 2*t - z - 0*z - k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -8373, -2\/7, 3, 2\/9, 0, 25\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2101 = -2*a, -5*b + 2107 = -2*a + 6*a. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 3:53 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + f = 4968*z - 4553*z + 1664, f - 5*z + 4 - 25 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((45\/(-18))\/(-5))\/(6\/(-8)). Let t = -0.6 + 0.52. Which is the nearest to -1? (a) i (b) -1\/8 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 8, 4*u + 3*l = -l + 660. Suppose -u = -2*c + 125. Let o = 4 + 9. What is the greatest common factor of o and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 0 + 77*x**2 - 66*x**2 + 0. Let f(h) be the second derivative of -h**3\/2 + 9*h. Determine f(p(j)).\nAnswer: -33*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one halves of a millimeter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/(24\/(-288))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10406 is divided by 2493.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (35*g - 73*g - 57*g)*(3 - 3 + 12*g) as l + c*g**2 + r*g and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 - 1. Let k = -0.3058 + 0.0058. What is the second biggest value in k, j, -3\/17, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2255203 + 423?\nAnswer: 2300030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) -27 (c) 1.5 (d) -3 (e) -2\/3 (f) -0.4 (g) -220\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 11*w**2 + 7*w + 14. What is h(-4)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 131 = -5*z + 4*p, 3*z = 2*p + 93. Let g = 71 + -93. Let x = g + z. Is x less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 14) to base 9.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -14*f + 9. Let x be p(0). What is the greatest common factor of 31 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m + 4. What is the remainder when 37 is divided by z(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 13*u**2 + 45*u + 29. What is the remainder when 418 is divided by p(9)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 989626 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 2*n + 2. What are the prime factors of z(7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 139 + -94. Let n(q) = -q**2 - 11*q + 12. Let p be n(-9). What is the greatest common divisor of c and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -396, -62, 494, 1272, 2272?\nAnswer: 3494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f**2 - 6*f - 6. Suppose -8*d + 16 + 24 = 0. Let n(c) = 4*c**2 + 5*c + 5. What is d*w(i) + 6*n(i)?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*y + 611 = -493 - 275 + 56 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/6)\/(20\/3828). Let v = -64 - z. Suppose 5*g + 4 + 2 = -3*b, -5*b - 10 = -g. Which is greater: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1043050 - 1043050 + 9892*g**2 - 2*g**2 - 2*g**2 + 5*g**2 + (-3*g + 3*g - 3*g**2)*(-3 + 2 + 2).\nAnswer: 9890*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 12*j - 9. Let p(u) = 6*u - 5. Let q(r) = -5*k(r) + 9*p(r). Let f(y) = -3*y**2. Determine f(q(h)).\nAnswer: -108*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 529778269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/((-280)\/13))\/(14\/672))\/(3\/(-14))?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8828951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -178, -168, -148, -112, -54, 32, 152?\n\"Answer: b**3 - b**2 + 6*b - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) - (sqrt(637) + 3)) + ((sqrt(130)*-3 - sqrt(130) - sqrt(130))\/sqrt(10))**2)*5.\nAnswer: 1610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*h + 96460 = -1622*h + 115*h for h.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62146?\nAnswer: 2, 7, 23, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111526650 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 253 and 48673295?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7224 (base 10) to base 14.\nAnswer: -28c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*-2*sqrt(156)*-6)\/((6*sqrt(144)*-2 - sqrt(144))\/sqrt(12)).\nAnswer: 72*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2617 - -3?\nAnswer: 261a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**3 - 143*s**2 - 2. Let h(f) = -4*f**3 + 145*f**2 + 3. What is 2*h(o) + 3*k(o)?\nAnswer: o**3 - 139*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**2 - 709700*a + 25183704500 = 0. Calculate a.\nAnswer: 70970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3015.6 * 0.12496\nAnswer: -376.829376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13767*f**5 - 63*f - 3 wrt f?\nAnswer: 275340*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-3))\/((-21)\/(-27) - 1). Which is the nearest to 1\/2? (a) w (b) -2 (c) 0.4 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1\/5 (b) 83 (c) -3\/4 (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 391 = p, -4 = 4*p - 6*p. Let d = h + 387. Is -114\/17 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -455590 - 0.4\nAnswer: -455590.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -993.3 + 1082. Let i = r - 85. Let a = -3.69971 + i. What is a rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/20*1*(-5)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 3. Let g(u) = 2*u + 7. Let l(x) = 7*f(x) - 3*g(x). Let a(m) be the third derivative of 0 + 1\/24*m**4 + 0*m + 7*m**2 + 0*m**3. Determine l(a(j)).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2, 0.27, -46 in descending order.\nAnswer: 0.3, 0.27, -2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 284 = -4*y, -2*y - 2*y + 560 = -4*c. What is the biggest value in -5, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.55971ng?\nAnswer: 0.00000000055971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.54245 minutes to hours.\nAnswer: 0.4757075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**4\/24 + 9*h**2\/2 - 39. Let r(l) be the second derivative of z(l). Calculate r(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 14) in base 6?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**6\/120 - 31*i**5\/40 - 121*i**4\/48 - 5*i**3\/2 + 1272*i - 3. Factor m(k).\nAnswer: -k*(k + 1)**2*(k + 60)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12.46 (b) 2 (c) 13 (d) 6 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 a when four letters picked without replacement from qqwwqwaayyyawqwqqqqq?\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**3 + 5*d**3 + 0*d**3 + (-2*d**2 - 2 + 2)*(-2*d + 0*d + 4*d) - 3*d**2 + 24882 + 12*d + 3*d**3 - 24882.\nAnswer: d**3 - 3*d**2 + 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 9*d. What is p(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, 27, -5 in decreasing order.\nAnswer: 27, 7, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.073 + 0.021. Let z = 59.094 - j. Let v = 64.6 - z. What is v rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**2 + c**3 + 4*c**2 + (6 - 1 - 4)*(0*c**3 - 131*c**2 + 6*c**3 + 177*c**2).\nAnswer: 7*c**3 + 46*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2171 is divided by 128?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 410 - 256. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121559 times -5\nAnswer: 607795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*t - 937, 0 = -k + 3*t + 1332 - 380. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 2*k - 6*k + 213 - 5*k as z*k + w and give w.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -296.25 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*g - 66687 = -3*g, -4*i - 4*g + 66672 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, d: 3, t: 2, f: 6, r: 1}. What is prob of picking 1 r and 1 d?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*v**2 - v**2 - 2*v**2)*((1 + 0 + 1)*(3 + v - 3) + (-2*v + 0*v - 3*v)*(0 + 13 - 5)) as i + z*v**3 + w*v**2 + f*v and give z.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + 14833*m - 14833*m - 288*m**3 + 14 to z*m**2 + d*m + f + a*m**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 158308.55 rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 12*g - 42. Let l be x(15). Solve 0*y = 2*y + 3*w + 9, 5*y = -l*w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 538395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 468842*104.\nAnswer: 48759568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193, 191, 189, 187, 185?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38830058 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5702 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8059, -8067, -8075, -8083, -8091?\nAnswer: -8099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 112, 356, 832, 1618, 2792, 4432, 6616?\nAnswer: 9422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -171*(-19)\/171 + -14. Put 3, 24, -4, n, 2 in decreasing order.\nAnswer: 24, n, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.904798*-8.\nAnswer: -39.238384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 + 4*o + 3. Let s be i(-3). Let q = -6 + s. What is the third derivative of -7*f**2 - 3*f + f**3 + q*f - 11*f**2 wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 2. Let y(w) = 8*w**2 + 13*w + 12. Let j(g) = 6*x(g) + y(g). Let q be (-153)\/3*1\/3. Let z(k) = -23*k**2 - 20*k. Give q*j(d) - 6*z(d).\nAnswer: 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1150, -2298, -3446, -4594, -5742?\nAnswer: -6890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 h, 1 a, and 1 y when four letters picked without replacement from {q: 1, y: 1, m: 1, a: 1, n: 1, h: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*((sqrt(1539) - (-3 + -2 + sqrt(1539))) + sqrt(1539)) - (3 + 5*sqrt(114)\/sqrt(6) + sqrt(2736) + -1).\nAnswer: -62*sqrt(19) - 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 14 = -t. Find the common denominator of (94\/24)\/((-7)\/t) and 61\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 + -0.3. Let q = 0.7 + -0.3. Let k = q + -0.3. Which is the nearest to k? (a) 2\/9 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 3*g + g)*(0*g**3 - 3*g**3 - 3*g**3)*(-2 + 1 + 3)*(-42*g - 71 + 71) + (-2*g - g + g)*(2*g**4 + g**4 - 2*g**4).\nAnswer: 1006*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2606666*-0.4.\nAnswer: -1042666.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*j**3 - 2*j**2 + 0 - 2*j**4 - 485*j + 480*j - 1 to m*j + z + q*j**2 + w*j**3 + k*j**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 2*y - 3*y)*((4*y**2 + 2*y**2 - 4*y**2)*(-6 + 4*y + 6) - 2*y**3 + 3*y**3 - 3*y**3).\nAnswer: -24*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/188 and -93\/56.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 4. Let z = 1.9 + n. Suppose 8 = -4*s - 8. What is the nearest to z in 0, 0.2, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3344 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -301*q**5 + 1044*q wrt q?\nAnswer: -6020*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7539*q + 6490*q = 37640 - 4072 for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/5 - 24\/(-10). Suppose 0 = 3*x + 2*x - 30. Find the third derivative of -3*s**6 + s**x + 2*s**u + 0*s**6 wrt s.\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -119 - -119. Solve g = -10*p + p + 27 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514\/11 < 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0030233 rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 877*j = 881*j. Solve j = -4*n + 28 - 32 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**6\/160 - 3*y**5\/80 - 3*y**4\/32 - y**3\/8 - 33*y**2\/2 + 32*y. Let r(a) be the first derivative of u(a). Factor r(x).\nAnswer: -3*(x + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1534 + 714. Let x be 2\/(-4) - (g\/8 + -4). Calculate the greatest common divisor of 265 and x.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 times -160\nAnswer: -9440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (4 - (13 - 3))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 649, 360, -123, -806, -1695, -2796, -4115?\nAnswer: -5658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = -6*n - 84 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19326.\nAnswer: 2, 3, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + 2 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -17. Let g(m) = 11*m + 7. What is the remainder when g(c) is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 52*y + 109. Determine f(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 104*k**2 - 790*k + 442. What is b(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108275 = 3*y - 4*w, 0 = 124*y - 123*y - 4*w - 36089. List the prime factors of y.\nAnswer: 3, 53, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*p - 12*p - 1 + 5 - 4)*(2151989*p**3 - 2151977*p**3 - 1 - 9) to j*p**2 + d*p + b*p**4 + l + v*p**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/75 + (198\/225)\/(-11))\/(-1) - -32.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11\/132)\/(1\/(-2)). Let r = 9 - 14. Which is the second smallest value? (a) 2 (b) g (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-3 + 2*(-1 + (-1*sqrt(1700) - sqrt(1700)))*-5) + -5)*-3)**2.\nAnswer: 799200*sqrt(17) + 220332321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-31)\/p*p\/(p**(-2)\/p))\/((p**(-2\/51)*p)\/(p*p*p\/((p*(p*p**2)\/p)\/p))) assuming p is positive.\nAnswer: p**(-1426\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 263 - 246 - (9 + -1) - (26 + 3 + -2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25129, -25133, -25147, -25177, -25229, -25309, -25423, -25577?\nAnswer: -25777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z + 26. Let t be l(-8). Suppose 0 = 6*c - t*c - 236. Let f = c + 76. What is the remainder when 67 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -0.3 (c) 5 (d) -134\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 4*t + 3. Let f be r(2). Let l be (60\/9)\/(4\/(-48)). Let y = 86 + l. Solve 6*o = f*o - y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1135237.\nAnswer: 1135237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/2*(26 - 26). Let d(r) = 2*r - 17. What is d(h)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -588 - -585. Which is the fourth smallest value? (a) -2\/17 (b) l (c) 0.1 (d) 1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 8*u + 17. Suppose -4 = -4*q - 3*d + 16, -25 = -5*q - 5*d. Let h be g(q). Is 1\/((-2086)\/(-6195) + h\/(-6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 26b660?\nAnswer: 26b662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 29*c**2 + 23*c + 63. Determine a(-28).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33605383*b*i - 52076*b - 4*i**4 - 809 wrt i?\nAnswer: 33605383*b - 16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2176\/3 + -724. Let 0 + 6*x**3 + v*x + 14\/3*x**2 + 10\/3*x**4 + 2\/3*x**5 = 0. What is x?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24640000 rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 947782.4 kilograms?\nAnswer: 947.7824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -94798448 and 1.\nAnswer: -94798448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 7:27 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7069 - k + 7069.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3 + 0.3. Let l = -26 + 21. Let b = 14 + -10. Sort p, l, b.\nAnswer: l, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1848 - -1889. What is the remainder when 905 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-six fifths of a micrometer?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 22502941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1945020.\nAnswer: 2, 3, 5, 7, 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -87585 and -5331010.321.\nAnswer: -5418595.321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1180 - -726. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114998 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010 + 0?\nAnswer: -110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**5 + 708424*t**4\/3 + 31359449848*t**3\/9 - 209154394304*t**2\/9 + 45397275716*t\/9 + 1178253724232\/9 = 0 for t.\nAnswer: -29521, -2, 13\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/112*2)\/((-79)\/((-3318)\/(-24))).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(6\/13))\/w)\/w*w*w**(-1))\/(w*((w\/(w**12\/w))\/w)\/w*w*w**(-3)*w*w) assuming w is positive.\nAnswer: w**(124\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 572 and 2198339?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((440\/(-33))\/5)\/((51\/170)\/(81\/(-18)))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(44\/117 - (-6)\/(-27))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -578d85 - -1?\nAnswer: -578d84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -425689 greater than -425688?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22.62 - 22.6. Let z be (-3)\/8 - 2948\/(-5984). Let o be (20\/18)\/(-1) + 1. Which is the second smallest value? (a) 0.5 (b) z (c) l (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20653935, 41307878, 61961821, 82615764?\n\"Answer: 20653943*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1818*x - 11760 = -1034*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/2 + (13 - 12). Suppose k + 0*k = 2. Sort o, k, 4.\nAnswer: o, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16377804 or 16377797?\nAnswer: 16377804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -26*((-1)\/2)\/1. Let q = 29 + -16. Calculate the highest common factor of q and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4147, 5849, 8687, 12661?\n\"Answer: 568*h**2 - 2*h + 3581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1864727*s**2 + 2800684*s wrt s.\nAnswer: -3729454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22e1 (base 15) to base 3.\nAnswer: 101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/13 + -11 - -12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 - -3*3\/(-9). Suppose -616 = 4*k - 644. Suppose k + i = 5*o. Solve 5*p - 2*s + 6 = -0*p, 0 = o*p + 5*s - 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*i**2 - 2151*i - 24840.\nAnswer: -3*(i + 15)*(11*i + 552)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31970238, -63940461, -95910684?\nAnswer: -127880907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*t + 12 = 0. Suppose p = -0*p + 5*g + 12, -5*p + g + t = 0. Solve -3*d = p*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 199*j - 4123. Let b be z(21). Solve b*s = -53*s + 105*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/23 (b) -1\/3 (c) -2 (d) -596\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 76493*w**2. Let j(v) = 6*v. What is n(j(a))?\nAnswer: 2753748*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/(-2)*(-138)\/3 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**4\/4 + 5*u**2\/2 - 10*u. Let x(t) = -t**2 + 2. Determine 2*v(a) - 5*x(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 61553 - -1?\nAnswer: 61554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 45 = 4*h - 5, -2*h = -3*i + 12. Let p = h + -6. Let u = p + 29. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123011 (base 4) in base 7?\nAnswer: -5024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 h, and 1 g when three letters picked without replacement from jnghgvhdnddd?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -106785.46?\nAnswer: 106785.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-312)\/65)\/12*(-600)\/10?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z**2 + 2*z + 1. Let c(j) = 27*j**2 - 7*j - 12. Let s(q) = c(q) + 5*d(q). Calculate s(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 7. Let i(v) be the third derivative of -v**4\/8 - 5*v**3\/2 + 4*v**2. Let n(h) = 2*i(h) - 5*y(h). Calculate n(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 5*w + 21, 5*k + 3*w = 76 - 111 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 + 4*t + 4. Let w(f) = -f + 5 - 6 + 7*f**2 - 8*f**2. Determine -n(i) - 4*w(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 2*f**2 - 3*f - 3. Let z be l(-2). Find the third derivative of z*b**2 - 42*b**5 + 2 - 2 + 33*b**5 wrt b.\nAnswer: -540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2963462 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 10*h + 7. Is u(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-5 - (4 - -5)) - -2 - -10.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 987389340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -3, 284, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -112*p - 787. Calculate k(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1012573212 to the nearest integer?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 2\/11, -5, 0.1, 136, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 4. Let l = -0.5 - i. Let w = -1171 - -1176. Put l, 1\/4, w in ascending order.\nAnswer: 1\/4, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516125885?\nAnswer: 5, 11, 769, 12203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 49\/(-21)*(-47 - 1). Let g be 2\/(-6) + 7\/3. Suppose g*m + m - 4*b - k = 0, 12 = -3*b. Does 21 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1940839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.1428 to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 p when four letters picked without replacement from ddppdpppddddpddddd?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -2. Let z(n) = -3*n**2 + y*n + 0*n. Let p(j) = 2*j + 1. Let o(x) = -x - 1. Let d(k) = o(k) + p(k). What is d(z(a))?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 236353, 236347, 236331, 236299, 236245, 236163?\nAnswer: 236047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 839 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 2)*(489 - 3*v + v - 491).\nAnswer: 16*v + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*o + 3*o + 262 - 20 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71675 and 575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -860235021575 and 0.1?\nAnswer: 860235021575.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-6)\/n)\/((n\/(n*n*n\/(n\/n**(-6))))\/n))\/(n**(2\/15)*n**(2\/15)))\/(((n*n\/(n\/n**(1\/14)))\/n*n*n**(1\/9))\/(n\/n**(1\/2))**(-41)) assuming n is positive.\nAnswer: n**(-10379\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*f - p = 70*f + 8, 0 = -13*f + 2*p + 76 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y**4\/5 - 344*y**3 - 1209*y**2\/5 + 3916*y\/5 - 196 = 0 for y.\nAnswer: -245, -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 4*x + 4. Suppose -5*g = 4*v - 120, -g = -2*g - v + 24. Suppose 0 = 18*j - 22*j - g. Calculate the smallest common multiple of k(j) and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 180 + -896\/5. Let o be (-1)\/(-3) + 4\/(-12). Let m be -2 + (2 - (0 - o)). Which is bigger: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.096853 kilometers in micrometers?\nAnswer: 6096853000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 3 - 1 + 0. Let q be 2\/5 + (-736)\/115. Let z(x) = 44*x + 267. Let d be z(q). Give v(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 219.046 weeks to seconds.\nAnswer: 132479020.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36, -49, -62, -75, -88?\n\"Answer: -13*u - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8\/9)\/(l\/(l*l*l**(6\/7)))*l*l*(l*l**(-2\/7))\/l*l*l*(l*(l*l\/l**(-17))\/l)\/l)**(3\/17) assuming l is positive.\nAnswer: l**(1429\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**4\/3 - 694*b**3\/3 + 934*b**2 - 702*b = 0.\nAnswer: -351, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.27 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 421967 and 117.\nAnswer: 49370139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (0 - (2 + -22 + 8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*g + 3*g = 310 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 2*a - 1. Let b(p) = p. Let u(i) = -4*b(i) - q(i). Let d be u(-5). What is the common denominator of 20\/16*d - -1 and 81\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1209\/2521 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 3:19 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0145586 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -178305 less than -1.37?\nAnswer: 178303.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3425 - -13324. What are the prime factors of j?\nAnswer: 19, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 643 - 356. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*n - 3*n - 180. Find the first derivative of 251 - n*x**3 + 4*x - x + 11500*x**2 - 11500*x**2 wrt x.\nAnswer: -54*x**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39818855 - -1.\nAnswer: -39818854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2089063 less than -2095786?\nAnswer: -6723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5*a + 4*a + 2*a)*(1 + 0 - 3) - 4 + 4 + 3*a)*(2 + 8 - 1)*(1 - 2 + 0)*(15 - 13 + 13) to j*a + h and give j.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.826*-2.\nAnswer: 3.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67261 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 1273396*j + 39473354.\nAnswer: 2*(j - 636667)*(j - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**2 - 1731*j + 90306 = 0. What is j?\nAnswer: 58, 519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**1)\/h*h)\/h)**(10\/7))**28 assuming h is positive.\nAnswer: h**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2047.78 - 1982. What is f rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58\/11*g**2 - 104\/11 - 160\/11*g - 2\/11*g**3.\nAnswer: -2*(g + 1)*(g + 2)*(g + 26)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -26.642\nAnswer: 7.9926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4329 is divided by 1198?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 157253 * -1789.\nAnswer: -281325617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180499, -360971, -541453, -721951, -902471, -1083019, -1263601, -1444223?\nAnswer: -1624891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 834 or -248?\nAnswer: -248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + -0.3. Let y = 0.204 - 0.104. Which is bigger: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxgaxgvl. What is prob of picking 1 a and 1 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 128.78, 5.\nAnswer: -1\/2, 5, 128.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**4\/54 - 8*j**3\/27 + 7*j**2\/9 - 5*j. Factor g(z).\nAnswer: 2*(z - 7)*(z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155040047 and 291.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*c - 157*c + 28 = 0, -69 = -2*j + 3*c. Solve -5 = -5*k, -j = 4*x - k - 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9\/10 of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 - v**2 + 5*v**2. Let z(l) be the third derivative of 23*l**5\/60 + 162*l**2 + 2. Give h(z(o)).\nAnswer: 1058*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, s: 4, h: 5, x: 2, k: 7}. What is prob of sequence kshk?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041403 (base 7) in base 5?\nAnswer: 13042140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -12. Suppose 3*b - 3*g + 3 = p, 5*g - 24 + 3 = -3*b. Solve -10 = 5*m, -13 = -b*j - j + 5*m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107998303 to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -1. Let z = 5.8 - h. Let t = 3.8 - z. What is the closest to 0.2 in -2\/5, t, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 43589, 87174, 130745, 174302, 217845, 261374?\n\"Answer: -7*p**2 + 43606*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5775808*k**2*s**3 + 4*k**2*s**2 - 3*k**2 + s**2 + 336*s wrt s?\nAnswer: -34654848*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - -22 - (-7 + 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -169233150+123481\nAnswer: -169109669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 47*k**8\/7 + 325*k**4\/12 - k**3\/3 - 616*k. Find the third derivative of f(x) wrt x.\nAnswer: 45120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, z: 6, g: 1, c: 5, q: 2}. What is prob of sequence ng?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-202)\/10 - -1)\/((-37)\/185) is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + f**3 + f)*(30 + 8 + 21) as i*f + u*f**3 + k*f**2 + v and give u.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m**3 - 25*m**3 + 11*m**3)*(-2*m + 5*m - 4*m).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195130 and 2990?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009618 rounded to seven decimal places?\nAnswer: 0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5799 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(425)*-2 + sqrt(425))**2*-3.\nAnswer: -1350 + 150*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/32433 and 7\/10811.\nAnswer: 32433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-120)\/(-21))\/4*7. What is the hundreds digit of (0 + a + 5)\/(3\/90)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 + 5155981?\nAnswer: 5155981.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2785.437 - 2785.5. What is the closest to -0.3 in -2, y, -8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28505310?\nAnswer: 2, 3, 5, 950177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 788 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 7*m + 7. Let r be t(-7). Suppose -3*f + 5*n = r, 3*f = 5*f + 5*n + 95. Calculate the remainder when 48 is divided by 5\/10*f\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**4\/24 + 6*x**2. Let g(a) be the first derivative of -2 + 0*a - 1\/2*a**2. Calculate g(l(w)).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**8\/588 + 8*h**7\/735 - h**6\/70 - 68*h**2. What is n in b(n) = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o - 10. Let t be g(11). Suppose 13 = 5*j - t. Solve j*w - 4 - 2 = 4*i, 3*i + 1 = 2*w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18409162 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or -221\/6?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 3*v**2 + 4*v + 3. Let q be r(-2). Let d be 3 + 5\/q - 4. Is (8\/d)\/((-12)\/522) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2109 and 198.\nAnswer: 139194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33448898 to the nearest integer?\nAnswer: 5784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -30. Which is the closest to h? (a) -1\/3 (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (5*((0 + sqrt(175))*6 - 1*(sqrt(175) + sqrt(175) + -1)) - (sqrt(175) + 3*sqrt(175) + -1 - (sqrt(175)*2 + 4))))**2.\nAnswer: 1620*sqrt(7) + 56781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 4*u**2 + 2*u + 2. Let p be k(-5). Does 36 divide p\/(((-252)\/88 - -3)*-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b\/(b\/(b\/(b*b**(-19))))))**39 assuming b is positive.\nAnswer: b**(-702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -h + 4 + 2, 0 = 3*j. What are the prime factors of -1 + h + 5 + 565?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6192150\/90 + (-128)\/(-24) + -5?\nAnswer: 2, 3, 11467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -1492 + 1482 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/(8\/(-80))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-3))\/(31\/279). Solve -2*n = p*m + 12, -2*n - 3*m + 8*m + 20 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in -7, -0.2, -18?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150136, -146660, -143182, -139702, -136220?\nAnswer: -132736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 212302 - 0?\nAnswer: 212302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1074*o - 64 + 174 - 59 - 65 - 1076*o. Suppose 3*f - 25 = k - 0, 3*f = -5*k - 53. Give c(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 6*v - 5. Give b(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-6) - 3\/(-2). Let s = 4 - 2. Suppose 5*p - s - 8 = 0. Solve -4*b = p*l + 2, 5*l + n*b = -4 - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 3. Let k be -2 - (3 + (-40)\/v). Let b(f) = -f. Let h(y) = y**2 + 5*y + 1. Determine k*b(o) + h(o).\nAnswer: o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 10\/3)*(1 + -7). Solve -n = -3*c - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 245, 884, 1945, 3428?\nAnswer: 5333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4) + (-1 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -38?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2. Let i(k) = k**2. Let f(z) = -4*h(z) + 7*i(z). Let r(v) = -1. Let y(w) = w**2 - 8. Let p(s) = 24*r(s) - 3*y(s). Calculate f(p(m)).\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*p, 4*p + 873 = -5*c + 3165. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.889098kg to micrograms.\nAnswer: 4889098000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 8325001*j**5\/60 - j**4\/6 + 2*j**3\/3 - 34*j**2. Let l be i(2). What is l rounded to the nearest 1000000?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 393, 788, 1207, 1662, 2165, 2728, 3363?\n\"Answer: 2*y**3 + 381*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1581150 and 790575?\nAnswer: 1581150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(66)\/(sqrt(363)*4 + sqrt(3)))\/((sqrt(50)*5 - sqrt(2)) + sqrt(22)\/sqrt(176)).\nAnswer: -4*sqrt(11)\/4365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (85\/(1360\/(-12))*(-16)\/(-186))\/((-1)\/(-1))\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*d - 32 = 0, d = -5*v + 57 + 33. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -50 in 1, 5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3955 + -3952. Solve 4 = -2*n - 7*l + 5*l, 0 = -5*n + a*l - 34 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*d - 1143 - 226 = 66 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.36 and 3?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7435337.\nAnswer: 7, 13, 81707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 + 40*u**2 - 7 + 21 + (-26*u**2 - 6*u**2 - 20*u**2)*(-2 + 1 - 1).\nAnswer: 144*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -12 + 30. Let s(p) = p**2 - 5*p + 11. Let z be s(5). Suppose 120 = 19*f - z*f. What is the remainder when f is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 9*s + 4. Let y be h(-9). Suppose 2*l - y*g - 665 = -183, 4*g = -4*l + 916. Suppose -3*o - 41 = -l. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5885200351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 45414 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (18 + 2 + -4 - (-16 - -20))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 8*f - 5. Let l be h(-9). Suppose 0 = -5*t - o + 4*o - 108, -l*t - 92 = -o. Let d = t - -48. Calculate the least common multiple of d and 33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**5 + 3*h**5 + h**5 + 6273 - 6243 - h**5 - 3*h**4 + h**4 - 2 + 2 - h**5 + (-5*h**4 + 0*h**4 + 4*h**4)*(-5*h + 3*h + 4*h) - 5*h**5 + 3*h**5 + 0*h**5.\nAnswer: -4*h**5 - 2*h**4 + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13 - -8)*1\/(-1). Suppose -v - v - 5*x = -10, v = -x + b. Suppose v*o - 641 = 5*k + 419, -3*o + k + 634 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 58.02167 litres?\nAnswer: 58021.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 1:21 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**2 - 8*c + 21. Give q(5).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, a: 4}. What is prob of sequence ad?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -14*b**3 + 277*b**2 + 6*b + 86. Calculate c(20).\nAnswer: -994","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141523 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*r - 5*u, 2*u + 2*u = 3*r - 10. Suppose -r*h + 49 = -29. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 19*o - 120*o + 103*o + 9 + 8. Let r(y) = 3*y**2. Calculate r(j(z)).\nAnswer: 12*z**2 + 204*z + 867","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 48 + 132. What is the remainder when z is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13897202?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -17. Let p be 4 + (-1)\/x - 2. Suppose -3*m + 6 = -2*q - p, -5*q + 8 = m. Which is greater: -1\/14 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1198*u + 18*u**4 - 14*u**2 - 1198*u wrt u?\nAnswer: 432*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4424.431ns?\nAnswer: 0.000004424431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446119 is divided by 446058.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 8:02 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -396 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-seven fifths of a millisecond?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) + 2*sqrt(77))*5)\/sqrt(11).\nAnswer: 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -6. Let m be (y\/10)\/(2\/5). Suppose -m*l - i = -0*l - 89, 43 = l + 3*i. What is the remainder when l is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.58 from -26025.\nAnswer: -26021.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -960590232 divided by -72.\nAnswer: 13341531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529 is divided by 26?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 185904350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/11, -1\/75, 9, -2\/5 in ascending order.\nAnswer: -0.5, -2\/5, -1\/75, 2\/11, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.36668484 to 4 dps.\nAnswer: 0.3667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 0*s**3 + 0*s**4 + 3\/2*s**2 + 0 + s + 3\/10*s**5. Find the first derivative of h(i) wrt i.\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -2 + 1 - ((17 - (8 - -2)) + -9)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 6:14 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/135 and -16\/305.\nAnswer: 8235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 6 + 1 = 0. Suppose -5*c - 2*s - 90 = 0, 5*c - 4*s + 60 = -0*s. Let b = -11 - c. What is the greatest common divisor of u and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/10)\/(3\/(-45)). Suppose -n + i = 3*p - 4*n, 2*n + 4 = 0. Calculate the remainder when 35 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*x + 40 - 292 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2\/12 - (-116505)\/810 and 992?\nAnswer: 8928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.95 + 0.15. Let s = f + -0.2. Let a = -13 - -8. Put s, a, 0.4 in descending order.\nAnswer: 0.4, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1aaa5 (base 13) to base 16\nAnswer: -cc84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -228*q - 2. Let d be i(-4). Suppose 4*g = -g + d. Suppose -3*h = -g - 253. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -249119 + -46078. What is s rounded to the nearest one thousand?\nAnswer: -295000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -14547, 21, -2, 58 in ascending order.\nAnswer: -14547, -3, -2, 21, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12923\/36 - 359. Is 1 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 4*b**2 - 25*b - 100. Let u be o(-4). What is the closest to -0.1 in 0.2, 129, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1881, -2423, -3337, -4629, -6305, -8371, -10833?\nAnswer: -13697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuluuuuluuuu. What is prob of picking 2 l?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(288) - (4*(sqrt(288) - (-1*sqrt(288) + sqrt(288))) - sqrt(288)))**2 + (0 + sqrt(288))**2*-3 - -4*(-5 + sqrt(288)*2 + -4)**2)*2.\nAnswer: -3456*sqrt(2) + 10444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -7*n**3 - 2*n**2 + 21*n + 7. Let c(a) = -8*a**3 - 2*a**2 + 20*a + 8. Determine 6*c(f) - 7*i(f).\nAnswer: f**3 + 2*f**2 - 27*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -0.0224?\nAnswer: -3.9776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1286 is divided by 1285.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-323673)\/(-154130)*(-100)\/(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1258416 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8d3e67 (base 15) to base 8.\nAnswer: -31570601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -4\/5, -2\/5, -0.1, 1, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/2 - 23341455*c**2\/2 - 45401948455689*c\/2 + 45401971797147\/2.\nAnswer: -3*(c - 1)*(c + 3890243)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*w**2 + 12*w**2 + w**2 + 395*w - 4*w**2 to the form c*w + p*w**2 + q and give c.\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (0 - 3 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -159, -379, -645, -951, -1291, -1659?\n\"Answer: v**3 - 29*v**2 - 140*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2186621, -2186645, -2186693, -2186777, -2186909?\nAnswer: -2187101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 704103721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -276*p**3 - 3*p**2 - p?\nAnswer: -1656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -9. What is the fourth biggest value in n, 0, -30, -0.5?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -95.3, -2\/3, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3824 and 100.\nAnswer: 95600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - 221*q**3 + 71*q**3 + 25 - 29*q**3 in the form u*q**3 + y*q + r + m*q**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/1763 - -3544\/15867. What is the nearest to 0 in 1\/2, 19, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - a - 47. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 55.42 and -0.04?\nAnswer: -2.2168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/(70\/21))\/(-1))\/((312\/304)\/(-39)).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32425.08 to the nearest ten.\nAnswer: 32430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -137, -135, -133, -131?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -11*t + 0 + 4*t + 2 - 18*t. Let j be k(-2). Suppose -2 = -4*g + 5*y + 34, j = 4*g - y. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y = 12. Let u be 4\/(-2) - (2 + y). Let p = u + 19. Solve 3*m + 5*r = -p + 2, -15 = -4*m - r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 4*g - 4*g)*(2 + 1 + 6 + (1 - 1 - 1)*(-5 - 3 + 16) + 1 - 2 + 6)*(g + 0 + 4 - 2).\nAnswer: 6*g**2 + 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 9*s - 16. Calculate the smallest common multiple of s and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -758 - -761. Which is the closest to -2\/3? (a) -1\/4 (b) y (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = -68*p + 63*p. Let f = p - 2. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(((-6083)\/2686)\/11).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*m + 3*f, 3*m - 5*f = -2*m. Let u = m + 15. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.8 + 10.74. Suppose 4*z + q = -2*q + 131, 0 = 4*z - 4*q - 124. Let u be (-4)\/(-6)*(-12)\/z. Which is the nearest to 0.1? (a) n (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 195\/4 - (-3)\/(-4). Solve x - z + 44 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlgggyyyxsxgykgyyg. What is prob of sequence xl?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 33209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*b**3 + 1562*b**2\/5 - 6176*b\/5 - 96\/5 = 0. Calculate b.\nAnswer: -4, -12\/775, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2694\/(-18) + 2\/(-6). Let x = -1052\/7 - f. Let j = 0.8 + 3.2. Which is the second smallest value? (a) j (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q - 2. Let p(m) = -9*m + 4*m + 4*m + 2*m. Let z(x) = -o(x) - 4*p(x). Let s(u) = u + 4. Give -2*s(c) + 5*z(c).\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*m + 111 = -141 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5)*900\/(-18).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = x + 15, -2*x - 13 = -2*o + 1. Suppose 2*i - 4*i = 4*y, 0 = 4*i - o*y. Solve n + 4*w + 23 = i, 2*n = 3*w + 2 + 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2227.999999812 - 2228. What is o rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 35163?\nAnswer: -35156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 69 = -59. Let b be (-3016)\/c - 2\/(-8). Let g = -46 - b. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttthttttthhthhht. Give prob of sequence tt.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + -8. Let i = k - -8. Let a be 2\/(i\/(-4) + -3). Let u(c) = c**2 + 2*c - 2. Determine u(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -441216 (base 8) in base 16?\nAnswer: -2428e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*w - 18 = 121*w + 5*c, -21 = -5*w + 2*c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpc when three letters picked without replacement from gsggbbggagcbp?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.26962 + 0.27\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + z. Let n(b) = -5*b**3 + 6*b**2 + 4*b - 1. Let g(f) = 2*c(f) - n(f). Let y be g(3). Solve -t - y = 4*p, -7 = p - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15534)\/(966\/105 - 10 - 7\/10). Calculate the highest common divisor of b and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 4*b + 3. Let s be q(4). What is the hundreds digit of s*5\/15*184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 4:40 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 - -4 - (-15 - -14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxbxxxxxx. What is prob of picking 1 b and 3 x?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 5*u**2 + 2*u + 3. Let s be d(4). Let x be s*(84\/(-15) + 4). Suppose 11*t - 93 = x*t. List the prime factors of t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*(-88)\/(-154)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.6 - 5. Let v = b - 1.6. What is the third biggest value in v, -0.5, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**6\/15 - y**5\/30 + y**4\/12 - y**3\/6 + y**2. Determine r(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/135 (b) 74 (c) -5\/3 (d) 1\/3 (e) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/7098*-4)\/(44\/1430)?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2865 - -2862. What is the third smallest value in 2\/17, z, 1\/2, 0.2, -2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v**2 - 1276*v - 25755. Calculate p(274).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -0.7. Let h = 5.6 + n. Let d = -7 + 7.2. Which is the second smallest value? (a) d (b) h (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-1 + -1 + -2 + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10672913*g + 10672913*g + 20*g**3.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1323714 and -0.1?\nAnswer: -0.01323714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k + 20. Let j(n) = 2*n - 8. Let c(f) = 5*j(f) + 2*u(f). Let o = 2 - 0. Let h(v) = -o*v + 3 - 3. What is h(c(w))?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 2*z - 2. Let q(y) = 3*y**2 - 9*y + 9. Let n(o) = 2*q(o) + 9*x(o). Let h(l) = 9*l + 59. Let k(b) = 6. Let s(p) = -h(p) + 9*k(p). Give s(n(w)).\nAnswer: 27*w**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660018.1 plus -340.5812?\nAnswer: 1659677.5188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -181, 1714 in ascending order.\nAnswer: -181, -4, -2, 1714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 11184.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18250 = 79*o - 89*o. Is 42 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*v**4 + 2*a**3*v**2 + 9*a**3*v + 4038*a*v**5 - 119 wrt v?\nAnswer: 24*a**3*v + 242280*a*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 505531 (base 6) in base 15?\nAnswer: bd74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 10:38 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2. Let q = 2146 + -2145. Which is the closest to q? (a) 1 (b) x (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2 - 15*p. Let v be i(5). Suppose v = -4*g - 2*q + 12 + 18, -45 = -5*g - 5*q. What is the remainder when 34 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -7622674.\nAnswer: 7\/7622674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*x + 3*x**2 + 3*x**3 - 14*x to u*x**2 + y + p*x + d*x**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 46, -1, -3, -4\/37, 5, 8\/3, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, 0.2, -2\/5, -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-18)*(-14)\/2)\/(1001\/3289).\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431722, -431722, -431732, -431758, -431806, -431882, -431992, -432142?\nAnswer: -432338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24105 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pfpo when four letters picked without replacement from {o: 2, f: 1, p: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 519.4793 milligrams?\nAnswer: 0.0000005194793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1885*w + 17 + 21 + 15 - 53 as q*w + h and give q.\nAnswer: -1885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 290469657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 8:27 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 4. What is the second derivative of -79*u**x - 3*u**4 + 79*u**2 + 19*u wrt u?\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/1 - -7)\/(7\/7). Which is bigger: 31\/4 or l?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c - 19*c = -1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)\/(c**(-8)\/c))\/((c*c**3*c*c)\/c**(-1\/8)) assuming c is positive.\nAnswer: c**(-17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16754223 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63729\/20 + 3187. Let p(m) be the second derivative of -z*m**5 + 0*m**2 + 0*m**3 + 2*m + 13\/6*m**4 + 0. What is the third derivative of p(v) wrt v?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -44*c**5 - 7800*c**4 - 524544*c**3 - 16115968*c**2 - 204813312*c - 515192832 = 0. Calculate c.\nAnswer: -44, -42, -36\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 + -5)\/(2 + -1). Let j be ((5\/1)\/(-5))\/((-2)\/8). What is the common denominator of -61\/2 and j + (-63)\/12 + y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 31. Suppose -z*u + 1 + 39 = -4*v, -52 = -5*u + 4*v. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42691562.50899602 + -42691563. Let w = 320.491 - 320. Let y = l + w. What is y rounded to 7 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6005417?\nAnswer: 11, 545947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6886435 is divided by 7373.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 + 0*h**3 + 2*h**3)*(-h - 2 + 2) - 24*h**4 - 471*h + h**4 + 3*h**2 + 469*h.\nAnswer: -22*h**4 + 3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -745*g - 4585. Let d be a(-8). Calculate the greatest common factor of 22 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) 3\/8 (c) 2 (d) -2 (e) -7 (f) 4 (g) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/2220729 and 73\/238?\nAnswer: 75504786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -617 - -1868. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 1 - 30*a + 38*a + 11*a - 1.\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -27*q - 28. Let k(p) = 56*p + 57. Let f(t) = 2*k(t) + 5*r(t). Is f(-7) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 21*t**2 + 2*t. Let g(n) = 10100*n**2 + 5*n - 10101*n**2 - 5*n. Determine g(y(x)).\nAnswer: -441*x**4 - 84*x**3 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*m - 2*n - 18 = -78*m + 38*m - 5*n, -n - 2 - 2 = 0 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 7:11 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -95631*q**4 + 8*q**2 - 5548.\nAnswer: -2295144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/8 (b) 3\/4 (c) -11558 (d) 2\/9 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677*h - 614*h - 34142 = -1678*h + 784*h for h.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -6. What is the greatest common divisor of 44 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18, 50, 86, 126, 170, 218, 270?\n\"Answer: 2*l**2 + 26*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5340\/150)\/89 - 34*4\/(-10)) + 81?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -294*b**2 + 0*b + 586*b**2 - 1 + 0*b - 290*b**2. Let c(l) = -33*l**2. Determine c(v(h)).\nAnswer: -132*h**4 + 132*h**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22883343061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75*c*v**3*x**2*z + c*v**3*x - v**3*x + 2*v*z + 281*x**2 with respect to c.\nAnswer: -75*v**3*x**2*z + v**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, -2, -82, 0.4, -18\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 1:46 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -1.4, -0.4, 53.47, -2\/3 in ascending order.\nAnswer: -1.4, -2\/3, -0.4, 35, 53.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o = -12. Let g = o - 1. Suppose 1 = -g*n + 7. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - p + 119. Let j be z(0). Let t = -52 + j. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8771707*m**2 - 3*m - 213804673 with respect to m.\nAnswer: -17543414*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**3 - 498*a**2 - 18247*a - 115221. Let t(h) = -2*h**3 + 248*h**2 + 9124*h + 57612. Let o(x) = -8*b(x) - 14*t(x). Suppose o(s) = 0. What is s?\nAnswer: -60, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -16*n + 1118. Let t be o(57). Solve 208*z - t*z = 5*v - 11, -v + 2*z + 7 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 2*k = 198. What is the remainder when 60 is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1236 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*u - 500*u + 9251 = 256*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 6 (b) -1\/3 (c) 336.9 (d) 5 (e) 3 (f) 1 (g) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2083, 8302, 18663, 33166?\nAnswer: 51811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/7 - 473*r**2\/7 - 4821*r\/7 - 621.\nAnswer: (r - 483)*(r + 1)*(r + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3084545888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.12951 (b) 3\/20 (c) 1 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2 = -2745*g + 2741*g, 48*g - 4*k + 32 + 20 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*c + 900 = 156*c + 506*c. What is o in 0*o**c + 0*o + 1\/3*o**3 - 4\/3*o**5 + 0 - o**4 = 0?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4) - (-3737)\/1818)\/((-12)\/27)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r - 5*b - 60 = 0, 0 = -4*r - 5*b + 57. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 2\/5 (c) -4 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 452157350?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vc when two letters picked without replacement from vkvkkvkkkvkkvcvkkkk.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 3:01 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3071616419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -c - 0*c - 5*v, -2*c = 3*v - 11. Let q(l) = -4*l - 1. Let p be q(c). Let x = -14 - -19. Solve -t = b - 4*b - p, x*b + 4*t = -40 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4 (b) -5\/172 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.9999978 + 7. Round s to 7 decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63149473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-35) + (-1 - 39\/(-105)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 + i**2 - 2*i**3 + i**4 - 226 - i**2 + 229 + 6*i**2 - 2*i as r*i**4 + v*i**3 + z + n*i + o*i**2 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10790401\/7 + -1538596. Let p(u) = -u + 2896. Let n be p(0). Let d = q - n. What is the common denominator of d and -11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 + -393. Is 4 a factor of i\/(-8) + -2 + 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -1642.\nAnswer: -1642, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 188\/5 + -37. Let p = -4 + 7. Which is the third smallest value? (a) 0.5 (b) p (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s + 1013 = -931. Put -5, -1, s in decreasing order.\nAnswer: -1, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7180.42 minutes in milliseconds?\nAnswer: 430825200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-5 + (22 - (-5 - -16)))) + 7 + -108.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) - sqrt(147)*1 - -1*sqrt(147) - ((sqrt(144)*2)\/sqrt(3) - sqrt(48)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, p: 6, v: 8}. What is prob of picking 1 v and 2 p?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112462655?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2185*c + 854*c - 61 + 61 - 1164*c.\nAnswer: -2495*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 + 3*y - 3*y)*(-253 + 255 + 0*y + 11*y**2 + 4*y).\nAnswer: -33*y**5 - 12*y**4 - 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 37120 = 2*v, -13123 - 5432 = -v - t. What are the prime factors of v?\nAnswer: 7, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*x = 6. Suppose -x*o + 6 = -o. What is the second derivative of -11*t**4 + 9*t**4 - o*t + 4*t wrt t?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 632.84 to the nearest ten.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -39 + 249a?\nAnswer: 2461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 5) in base 8?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68.6*-5667.\nAnswer: 388756.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, r: 1, h: 7, e: 1}. Give prob of picking 1 g and 1 r.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*(-60 - -54)\/12.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 1:13 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10371, -4, -1, 16, 4 in ascending order.\nAnswer: -10371, -4, -1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88108 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.16894mm to kilometers.\nAnswer: 0.00000816894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2 = -0*d. Suppose 3*n = -2*h - 202, 3*n = d*h + 2*h - 226. Let b = -49 - n. What is the remainder when b is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338135045 a multiple of 13226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 756661 + -489770. Let b(w) = -j - 2*w + 266891. Let a(u) = -40*u**2 - 1 + 1. Calculate b(a(k)).\nAnswer: 80*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -12. Let j = -12 + p. Suppose -4*a + d + 2 = 0, d = -5*a + 2*d + 3. Put 5, a, j in ascending order.\nAnswer: j, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*h - 9*h + 9*h)*(-3 + 1 - 2 + (3 - 3 - 1)*(1 + 0 + 0) + 2 + 3 - 3 - 2 - 1 + 4)*(-2 + 2 - 2*h) in the form b*h + n + p*h**2 and give p.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 + 4*r + 4. Let n(t) = t**2 + t + 1. Determine -4*n(p) + w(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(320) - -3*(sqrt(320) - (sqrt(320) + 1) - sqrt(320))) + (sqrt(320) - (5 + (sqrt(320)*1 - sqrt(320)) - sqrt(320))) + -4)**2.\nAnswer: 480*sqrt(5) + 32009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*t, -5*t + 0 - 3 = 2*s. Let u(c) = c**2 - 19*c + 49. Let l be u(3). What is the closest to l in 3, s, 4\/25?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57.83689873 - 4973.\nAnswer: -5030.83689873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -918, -1501, -1854, -1971, -1846?\nAnswer: -1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)*n**(1\/2)*n)**(-2\/39) assuming n is positive.\nAnswer: n**(1\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 10063?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6*z**2 - 659*z - 1298. Give j(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -872*a**4 + 2781 + 3763 - 331 wrt a?\nAnswer: -3488*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*z + 43*z - 4. Let s be (-1 - z) + 107755\/14. Let t = -7690 + s. Find the common denominator of -23\/10 and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 853128 smaller than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 + 0.28. Let j(w) = 21*w + 201. Let t be j(-9). Let i be 4\/(-4)*t*(-3)\/(-6). Sort -4, i, -0.4, l in descending order.\nAnswer: l, -0.4, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3997623893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 5*h - 15, -5*u - 4*h + 11 = -1. Solve -4 = o - u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 4.88. Let m = -0.18 - q. Let z(u) = 2*u**3 + 23*u**2 + 9*u - 18. Let s be z(-11). Sort s, 0, m in decreasing order.\nAnswer: s, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 - 3727*b + 14924. Give p(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 3661746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(5) - sqrt(25)\/sqrt(125)).\nAnswer: -16*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4 + 3*h**3 + 63*h**2 - 123*h + 60.\nAnswer: -3*(h - 4)*(h - 1)**2*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 11) to base 5.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02668 + -33?\nAnswer: -33.02668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (-3*sqrt(2))**2 - (4 + -3*sqrt(2)) - (-2*sqrt(4)\/sqrt(2) + sqrt(288) + -2)).\nAnswer: -28*sqrt(2) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*d + 3. Suppose h + d = 4. Let i be 0*1*1\/h. Solve 3*t + 18 - 3 = i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1162758 greater than or equal to -1162815?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/23))**(2\/17))**(-40) assuming s is positive.\nAnswer: s**(-80\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 222*i + 0*i**5 - 58*i**2 + 0*i**3 - 331\/30*i**6 + 0 + 0*i**4. Differentiate c(l) wrt l.\nAnswer: -1324*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 5, -32 in descending order.\nAnswer: 5, 1, -1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 951 a factor of 227767377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 51*f**5\/20 + 131*f**4\/12 + 317*f**2. Find the second derivative of q(w) wrt w.\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -2*m - 3*n, m - 2*n = 35 + 30. What is the remainder when m is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22298 and 12?\nAnswer: 133788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 48887 (base 10) to base 5\nAnswer: 3031022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51249*x + 306 = -51266*x for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 960, 3839, 8630, 15327, 23924?\n\"Answer: -u**3 + 962*u**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + i**2 - i)*(-2 + 1 - 1)*(-4 - 14*i + 4).\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -42273, 184, 3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d - 9 + 5*d - 2*d + 5*d. Let w be b(6). What is w rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208883 is divided by 82.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -5. Is u - 222\/(-4 - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzjzzjzz. Give prob of picking 4 z.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 2033442.\nAnswer: -610032.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2257\/11 - 205. Calculate the common denominator of -1*(-1 - 28\/(-9)) and i.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 848 and 530.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 1. Let s(m) = -11*m**2 + 15*m + 25. Let f(y) = 5*y**2 - 7*y - 12. Let v(q) = 13*f(q) + 6*s(q). Let j(u) = 3*n(u) - v(u). Give j(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(3\/(-34)))\/(1\/(-9)*(-1080)\/180)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 29 + 2138*u**2 + 785*u**2 - 37 - 6*u. Is h(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40851 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 g when four letters picked without replacement from vqkgqkqgqgggvkggkk?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4484 is divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 5*s**2 - 9*s - 3. Let m = -36 + 65. Calculate the remainder when m is divided by a(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50109, -52159, -54209, -56259?\nAnswer: -58309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 936?\nAnswer: 6552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2. Let a be -1*6*(2 - 3). Let o(m) = 2*m**2 + 2*m**2 + 0*m**2 - a*m**2. Give o(i(f)).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-249)\/(-2) + (9\/(-2) - -4).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 29 + 9. Let o(w) = -3*w - 6. Suppose 3*k + 6 = -3. Let n be o(k). Solve n*s - d = -2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*c = 41*c - 8. Suppose -817996 = 2*g + 38*k - 42*k, c = -k. What is g rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5b19ba - 22?\nAnswer: -5b1a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 9:14 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -16. Suppose -o*s + 878 = -3*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28701.\nAnswer: 3, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11305562 - -300?\nAnswer: 11306162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10, 14, 18, 22?\n\"Answer: 4*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10759 divided by -7705?\nAnswer: -10759\/7705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = w + 8, -3*u - 31 = 4*u + 4*w - 114 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*v - 5. Solve s - 3*b = -15, -2*b + b = v*s - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-37764)\/(-14686))\/((-18)\/(-686))\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186 and 1096563.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.6 + 14.5999797. Round t to 6 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4697 + 0.357. What is u rounded to three dps?\nAnswer: -0.113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186188851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 74\/(-30))*544\/112. Let n = 2\/15 - t. Determine o, given that -9\/5*o**2 + n + 12\/5*o = 0.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420 and 1860?\nAnswer: 13020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.23 + -1.3. Let f = -0.2 + 0.17. Let z = s + f. Which is the closest to z? (a) 0 (b) 3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/28*(-2635)\/124*((-4)\/(-10))\/(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8030 - 0 - 2*1. Let r = 17003742\/2117 + u. Let c = 27569\/50808 + r. What is the common denominator of c and -38\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.09 + -3.09. Let j be 2 - 10\/4 - 23\/(-69). Which is the biggest value? (a) k (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/2 - 4367*g**4\/2 + 60731*g**3 + 65099*g**2 - 121463*g\/2 - 125831\/2 = 0. What is g?\nAnswer: -1, 1, 29, 4339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**8\/1680 + 13*l**7\/630 - l**4\/4 + 5*l**3\/2 - 18*l. Let s(t) be the third derivative of k(t). What is o in s(o) = 0?\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*y**4 - 16575*y**3 - 15243486*y**2 - 2589688983*y + 2168669490 = 0. What is y?\nAnswer: -307, 5\/6, 1534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 divided by 43.\nAnswer: 102\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5088410 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 1.78 (c) -0.1 (d) 2 (e) 97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (29 - 14) + -7 - 16 - (4 + 47).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eggegpe. Give prob of sequence ep.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -7 + (8 - 4) + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-9537 + 9381)*8\/78\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 8:30 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9)*a*a)**29\/(a**(1\/6)\/a)**6 assuming a is positive.\nAnswer: a**(-198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + -2 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 12. Let q(i) = -1. Determine 5*q(a) - x(a).\nAnswer: -a + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -306 - 3146*u + 267 - 624. Let i(x) = -85*x - 18. Let q(d) = 6*h(d) - 221*i(d). Let c(a) = 2*a. What is q(c(k))?\nAnswer: -182*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (168\/392)\/(36\/14).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 113*i**2 - 97*i + 77. Is x(-50) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4716252419 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 5*u - 3. Let f be k(4). Let q be 1 + f + 8\/(-2). Let t be (-15)\/66*q\/5. Which is the second smallest value? (a) -0.1 (b) 2\/5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4424 (base 8) to base 3.\nAnswer: 10012002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.8424 to one dp.\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - -21) + 28 + (4 - 6).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 287*y + 1416. Determine k(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 26. Let w be (((-2)\/r)\/(-1))\/1. What is the third derivative of -9*v**4 + 17*v**2 - 4*v**w + 2*v**4 - 3*v**4 wrt v?\nAnswer: -240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 7. Let p be x(-4). Suppose p*i = -i + 8. What is the lowest common multiple of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 366 + -361. Solve 3*f = v*h + 8*f - 10, 12 = -4*f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n\/n**(-2))\/n*n*n*(n*n**(-2\/3)*n)\/n*n*n**(-14)*(n*n*n**(-2))\/n assuming n is positive.\nAnswer: n**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 + -43. Solve -z = -5*l + 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2113486018 and -0.01?\nAnswer: 0.2013486018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201336246 is divided by 5921654?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*u - 3. Suppose 3*w = -6*a + a + 451, u*w = -3*a + 271. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**2 + 11*b**4 - 17*b**4 - 29*b**4 + 25*b - 10 + 48*b**2 - 25*b**3 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 5*v**2 - 2*v + 3. Let x(w) = -2*w**3 + 5*w**2 - 3*w + 4. Let p(s) = 3*f(s) - 2*x(s). Let c = -12 + 7. Calculate p(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24129, 24127, 24125, 24123?\n\"Answer: -2*k + 24131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ulwz when four letters picked without replacement from bqlwzwu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-32)\/x)\/(x**(36\/11)\/x))\/(((x\/(x\/(x*x**(-11))))\/x)\/(x*x\/((x*x\/x**(4\/11))\/x))) assuming x is positive.\nAnswer: x**(-252\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*((-15)\/6 - 3). Suppose -19 = 2*v - 27. Suppose k + 5*y - 10 = 0, -k + v*y = 3 - 4. Sort k, -3, w in descending order.\nAnswer: w, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -8*g**2 + 10*g - 1. Let t(n) = 7*n**2 - 11*n. Give -5*s(f) - 6*t(f).\nAnswer: -2*f**2 + 16*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -2 + 1 - -1. Suppose -5*y + 18 = -s*y. Let f = 39 + -19. What is the least common multiple of f and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -17. Let i = -11 - q. Which is the second smallest value? (a) -0.3 (b) -1\/9 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from {d: 1, l: 9, o: 8, e: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000083605 rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1176 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -19c1?\nAnswer: -19c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 817237179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4703 + 4703.2. Let w be 2\/(-3)*(-2 - -1). Which is the smallest value? (a) 0.5 (b) 5 (c) x (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -227.402 + 227. What is o rounded to two dps?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*a + 15 = 0, y - 4 + 14 = -4*a. Let q(n) be the first derivative of n**3\/3 + 5*n**2\/2 + 6*n - 1. What are the prime factors of q(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*v - 18 - 6 = 0, r = -2*v + 16. Let u = r - 4. Suppose 100 = -y + u*y. Solve 2*n = -3*n - y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -658 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2631 - -13157\/5. Are -410\/23 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 1 - 11, -4*b - 4*g = 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2404*m - 13 = 2397*m + 71. Calculate the greatest common factor of m and 246.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 267 + 118. Suppose -114*j + 119*j + q = 0. Let m = 18 + j. Solve -3*n + m*y + 3 = 3*y, 0 = 3*n - 2*y - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 8*f**2 - 15*f + 9. Calculate p(7).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2356594?\nAnswer: 2, 1178297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = y - 2. Let c be (747\/(-36))\/((-2)\/16). Let g = y + c. Calculate the highest common divisor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(((s*s**(1\/7))\/s)\/s)*s)*s\/(s**5\/s)*s*s*s**(-7\/3)*s**(-8))\/((s**6*s\/s**4)\/(s*s**1\/s)**(-32)) assuming s is positive.\nAnswer: s**(-1012\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33474 = 4*h + 10302. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*o - 6*o = -13, o = 4*j - 1. Let b(v) = j + v**2 + 9*v - 2*v - 2*v**2 + 1. Calculate b(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 394 and 261770054.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 387*d**3*x**2 + 6*d**3*x + 246117*d**2*x - 3*d**2 + d*x - 945*x**2 wrt x.\nAnswer: 774*d**3 - 1890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13993 - 6*h**2 - 27981 + 10*h + 13988 + 10*h**3.\nAnswer: 10*h**3 - 6*h**2 + 10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, j: 1, e: 1, m: 1, a: 2, w: 1}. What is prob of picking 1 e, 1 a, 1 j, and 1 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33\/4 - 761\/92. Let g = -1241221\/6486 + 9150\/47. Let y = p - g. What is the common denominator of y and -13\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -636?\nAnswer: -638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h - 30*h + 2*j = -37, -1 = j. Solve h*i = -3 + 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -24. Sort 4, 2, v in descending order.\nAnswer: 4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1310224851?\nAnswer: 3, 13, 1697, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2650*u**3 - 2640*u**3 + 7842*u**3 - 2553*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 12*j + 22. Let w be f(-17). Let -w*t**2 - t**3 + 107*t**2 = 0. Calculate t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*t + 420 = -245*t - 30. Solve -t = -10*o + 20*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(2 - (-3 + 1)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 13. Give u(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1905*p**4 - p**2 - 410*p?\nAnswer: 45720*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 30*y**2 - 62*y + 70. Let j be m(-32). Suppose 5*o = 4*s + 11, o + 2*s + 21 = -3*s. Put j, -4, o in increasing order.\nAnswer: -4, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 11. Which is the biggest value? (a) -2\/9 (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 24. Let z be y(-10). Let j = -9 + z. Suppose j*b - 145 = -c, 70 = -5*b - 5*c + 235. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 1 + 1)*(1 - 1 - 2)*(-1 + 1 - b)*(-4 + 12 - 1).\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3888*x + 4568*x - 7372*x)*(3*x - 3*x - 3*x)*(1 - 6 + 3) as b*x**2 + n + o*x and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6551, 6574, 6603, 6638?\nAnswer: 6679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + (-1*sqrt(1215))\/sqrt(3) + 4 + 2 + sqrt(720).\nAnswer: 3 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 6 - 41. Solve 0 = 12*v - t*v + 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.105 rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3165037 is divided by 29.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-328)\/574 - 132\/(-182).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5210 + 4233*z + 518*z - 8128 + 252*z + 1182*z wrt z?\nAnswer: 6185","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1221 (base 6) to base 11\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10119893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - 10*p + 24 in the form h + d*p and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(0\/(-2) + 4). Suppose 52 = 5*m - 4*x + 12, -5*x = -m + 29. Let b = m + a. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*r - 14421, -29*x + 2*r + 57744 = -25*x. Is 17 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3e331 (base 15) to base 16.\nAnswer: -30ca6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8757 + -8760. What is the second biggest value in 73, 0, z, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -5. Let p(n) be the third derivative of -1\/3*n**3 + 0*n + 0 - 9*n**2 + 1\/8*n**4. Determine p(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005001 to six dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1174, 738, 5736, 13820, 24990?\n\"Answer: 1543*j**2 - 2717*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -12?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 24.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65347721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 240 = 47*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65017.18l to millilitres.\nAnswer: 65017180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13063777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297)\/(sqrt(18)\/sqrt(2)) + sqrt(33))\/sqrt(11))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*f + 16*f. What is the lowest common multiple of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c6 (base 15) to base 10.\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7163713 - -1060?\nAnswer: 7164773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4147*s**4 + 690*s**2 - 1 wrt s.\nAnswer: 99528*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -2*s + 0 - 1\/2*s**2 - 1\/24*s**4 - 1\/4*s**3. Factor w(h).\nAnswer: -(h + 1)*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*i + 9462 = 0, -13*i + 18*i + 23605 = 5*h. Suppose -h = -30*x + 3*x. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 9. Let i(m) = -m - 10. Let p = -16 + 38. Let t = 893 - 919. Let u = p + t. Give u*i(n) + 5*b(n).\nAnswer: -n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-54)*9\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -599, -1, -7, 4770 in decreasing order.\nAnswer: 4770, -1, -7, -599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r**2 - 9*r - 8. Let t = -89 + 91. Let j be t\/(-10) - ((-98)\/(-35) - -2). List the prime factors of l(j).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2593 (b) -0.01 (c) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 3*n + 28*n**3 - 33*n + 12*n**2 + 2*n - 20*n**4 = 0 for n.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-4) - 2 - (-129)\/30. Solve r*o**2 - 16\/5*o**3 + 2\/5 - 12\/5*o = 0.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1643 + -4?\nAnswer: 1636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = -21*v - 78. Solve -12 = -v*l + 11*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*((h*h**(-2\/31))\/h)\/h*h)**35 assuming h is positive.\nAnswer: h**(2100\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -22. Let c be (-1)\/(q\/56) - 2. Solve -3*k - c = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3325186.57 rounded to the nearest one hundred thousand?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 3*q - 2. Let y be z(2). Let f = y - -12. Solve f = -0*i + 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155052 is divided by 153318.\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 19. Let q be f(-14). Suppose -q*c + 8 = -4*c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/836391517 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 0.2, -14 in decreasing order.\nAnswer: 0.2, -0.01, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 41*g + 6*g**2 - 764 + 756 - 25*g**2. Calculate the remainder when v(17) is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5379.8 less than -645.3?\nAnswer: -6025.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 458332*c**2 - 3*c - 17514?\nAnswer: 916664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3295, -3287, -3271, -3241, -3191, -3115, -3007?\n\"Answer: v**3 - 2*v**2 + 7*v - 3301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euyeeouuoeueoe. Give prob of sequence oyo.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26799, 53513, 80249, 107019, 133835, 160709, 187653, 214679?\n\"Answer: 2*q**3 - q**2 + 26703*q + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/50)\/(3*(-30)\/36). Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -y + 2*z + 103, -54*z - 1403 = -203*y + 202*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2434 and 984553?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - -305) + 5 + -7?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtxxxtuxutxxxthxtxxu. What is prob of sequence utxx?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.052 and 0.02983953102.\nAnswer: 0.08183953102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (2 - (9 + -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 441954 divided by 147318\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 1. Let n(j) be the first derivative of 9*j**4\/4 + 2*j**3 - 10*j**2 + 4*j + 37. Let y(g) = -4*a(g) - n(g). Factor y(i).\nAnswer: -(i + 2)*(3*i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + 3*s**3 + 4*s**3 - 3*s**2.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**2\/9 - 322*w\/9 + 320\/9 = 0.\nAnswer: 1, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 237999*m**2 - m. Let z be a(-1). Round z to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 989, 982, 981, 986, 997, 1014, 1037?\nAnswer: 1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63029294 divided by 3.\nAnswer: -63029294\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4224 = -201*i - 63*i for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 - 53. Do 3 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/14 and 0 - 1 - (-99)\/504.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35585273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 117*p**3 - 157*p**2 - 3 + 43*p**3 + 157*p**2 as x*p**2 + f + t*p**3 + k*p and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**3 + 194*p**2 - 2376*p = 0?\nAnswer: -108, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**3 - 34797*z**2 + 3388497*z - 82841703 = 0.\nAnswer: 49, 11501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 1. Let u(o) = o**2 - 19*o + 19. Let x(r) = 4*c(r) - u(r). Let n be x(12). Solve a + n - 11 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 319534?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**4 - 60*g**3 - 2*g - 65 + 120*g**3 - 60*g**3 to the form t*g**3 + x*g**4 + b*g**2 + w + h*g and give w.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 60500899 to the power of 1\/3, to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdlauadu. Give prob of picking 2 a and 2 d.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 736?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161690 divided by 1702.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-14 - -6) - 4 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*n**3 - 23*n**3 - 15*n**3.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g + 3. Let c be l(-2). Let j be 80 + 4 + c + -1. Suppose 98 + j = 5*r. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i*p*u - 94*i*p + 2*i*u + 9*i + 2*p*u - 61*u wrt u?\nAnswer: 2*i*p + 2*i + 2*p - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 y when four letters picked without replacement from llllllllllyyly.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 10*s + 7*s**2 + 15 - 10*s - 2*s. What is the units digit of x(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 511 + -507. Suppose y + 4*q = 52 - 58, 3*y + z = -5*q. Solve y*l + 15 = 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1038324785.\nAnswer: 5, 207664957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-9))\/((-7)\/((-420)\/8)). Suppose -2 + 241 = r. Suppose r*a - 235*a = 44. Solve a = -u*i + 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16665830 and 160?\nAnswer: 266653280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -11*z + 9. Let w(l) = -5*l + 4. Suppose -o + 3*r - 36 = 4*o, 0 = 3*o + r + 16. Determine o*k(j) + 13*w(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 4*b - 16 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1416 = -682*n + 11542 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*m - 125, -74*i - 75 = -77*i - 3*m. Calculate the greatest common factor of i and 111.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.3 minus 10617378?\nAnswer: -10617364.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (121\/33)\/((-5)\/(-15)). Let i be (-60)\/(-45) - z\/(-3). Solve 5*t + 5*g - i = 0, -2*t + 2 + 4 = g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, -14, -70, -158, -284, -454, -674?\nAnswer: -950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19678691 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10872.5 + -10872. Let y = 6 + -4. Which is the closest to -1\/4? (a) 1 (b) l (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 178? (a) -0.1 (b) 0.17 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3548 + 3490 = 6*x. Suppose -x + 10722 = 3*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -575309160 divided by 1116\nAnswer: -515510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 64 - 5?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -7*m**4\/16 - 11*m**3\/4 + 27*m**2\/2 - 7*m + 396. Factor u(r).\nAnswer: -(r - 2)*(r + 7)*(7*r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 54834\/221 - (-5 - -1). Let g = 252 - r. Which is the nearest to -2? (a) 0.5 (b) g (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**2 - 1 - 2*y + 0 + 2 - 3*y**2 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -85, 5, 1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18829*f = 21108*f + 18232 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 0*a**2 - 2*a**2)*(a - a + a**3) - 2*a**5 - 3*a**3 + 3*a**3 - 2*a**5 - 2*a**5 - 7*a**5.\nAnswer: -14*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32)*-1*-1.\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y - 5*y + 11*y + 59*y + 9*y.\nAnswer: 84*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1221.2 or 0.4796?\nAnswer: 0.4796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2615981.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*s = -11*s + 350 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5\/(z*z**(-2\/11)))\/(z**1*z*(z*(z*z**(-1)*z)\/z)\/z) assuming z is positive.\nAnswer: z**(24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*i + 18 = 0, 0 = 3*n - 8*n + 4*i - 2. What is the closest to n in -0.5, 4, -15, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 29*y. Let n(c) = 1. Let v(i) = 2*i + 10. Let s(q) = -10*n(q) + v(q). Determine d(s(r)).\nAnswer: 58*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 0 - 18 = 0. Suppose 5*h - 57 = -32. Let m(d) = -h + d - 7 + 16 + 8*d. Give m(u).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -15 + 26\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/542 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1136*n + 91638 = 29158 for n.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 239, 386, 533?\n\"Answer: 147*g + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 288 and 2904.\nAnswer: 34848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38099320 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 3*c**2 - 10*c - 16. Let m be d(-2). Let v(y) = m - 2*y - 2*y - 1 + 1. Calculate v(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -5, 4071, 3 in decreasing order.\nAnswer: 4071, 3, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6488 + -6512 - (-64 + -1).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/308 and -53\/154.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1759+3944\nAnswer: 5703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 6*s - 379. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3830224 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.3 (b) 3 (c) 8 (d) -1\/61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 522 by -3.\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 5*i + 5. Let b be (-1)\/(-4) + (-294)\/56. Give h(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooqqqoqqoqqqq. What is prob of sequence qo?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3550491531?\nAnswer: 3, 17, 23, 47, 21467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2247 = -0*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*b + 100 = 0. Suppose 16*m - b*m + 8 = 0. Suppose -3*f + 8*f = 2*y - 124, m*y - 106 = -4*f. Does 19 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4673984 is divided by 3280.\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10112010100 (base 3) to base 16\nAnswer: 10ee1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1618170 to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*t**2 - 76*d*t - 4*d - 307*t**2 wrt d.\nAnswer: t**2 - 76*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -778*a**2 - 7*a - 99*a + 496*a wrt a.\nAnswer: -1556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1935238 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 457 = -4*d, 5*s + 221 = 3*d - 5*d. Suppose 3*m - 4*j + 153 = 0, 3*m + 55 = j - 98. Let f = m - d. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00347026 rounded to 4 dps?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3899821 to the nearest integer?\nAnswer: 1975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1550653 and 2626.\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3711941 > 3711978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13438844 (base 9) to base 10.\nAnswer: 6639691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glt when three letters picked without replacement from tltttaaglallltltttg?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/9)\/((-2)\/6). Let b(w) = w**3 + 9*w**2 - 10*w - 9. Let t be b(i). Calculate the greatest common divisor of 15 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-48)\/(-20))\/(2\/(-30)). Let j be (l\/16)\/((-1)\/4). Let w(q) = 4*q + 3 - 9*q**2 + 3*q**2 + 1. Let r(m) = 13*m**2 - 9*m - 9. Give j*w(k) + 4*r(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 747*h**5 + 19*h**3*i - 65*h**2 + h*i - 3*h + 15*i wrt h?\nAnswer: 44820*h**2 + 114*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2 - 6 = 0. Suppose 0*i - 5*i = -5*z - 5, p*z - 2 = 0. Find the third derivative of 0*t**6 + t**6 + 2*t**6 - t**i wrt t.\nAnswer: 360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44561 is divided by 14285?\nAnswer: 1706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + 2*(1 + (2*sqrt(1900)*4 - sqrt(1900)) - 1*(sqrt(1900) + 0 + sqrt(1900))*1))**2.\nAnswer: 1600*sqrt(19) + 190064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 + 2*i**2 - 4*i + 1. Determine v(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 - 3. Let c(n) = 3*n**2 + 4. What is -3*c(j) - 4*x(j)?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11786.75682 minus 195?\nAnswer: 11591.75682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6399, 5 in descending order.\nAnswer: 5, -4, -6399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/11, -2, 0.14, -1?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -31.\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**3 - 39*y**3 - 6 + 50*y**3.\nAnswer: 22*y**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -9, 67 in descending order.\nAnswer: 67, 3, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y + 13*y + 63 = 0. Suppose -4*n = -2*f + 32, f - y*n - 28 = -10*n. Solve -f = -13*b + 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -0*f - 35. Suppose 3 = s, -2*s - 3*s - 100 = -f*h. Let o = h - -49. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -13, -36, -77, -142, -237, -368, -541?\nAnswer: -762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 270285732?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 49, 89, 157, 259, 401, 589, 829?\nAnswer: 1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24684)\/(-528)*272\/187.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 840 take away -6246163049?\nAnswer: 6246163889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -1 + 3 - 5. Let k(b) = -19*b + 111. Let f = -241 - -247. Let u be k(f). Let n(d) = d + 4. Determine u*n(r) - 4*y(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -19. Let w = -0.7 + -4.3. What is the smallest value in w, 0.3, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 3*g - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 213345 = 2*k, 4*k + 4*m + 533412 = -k. What is k rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 35\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 290, 239, 174, 89, -22?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*t + 196 - 259 = -1256 - 400 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 = x, 2*x + 19 = -2*i - 3*x. Let c(q) be the first derivative of 52 - 2\/3*q**3 - 3\/2*q**2 + 1\/4*q**4 + 0*q. Determine c(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 30, 1\/6, -0.2, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 2*j - 4)*(1 + 2*j - 1) + 2*j**2 + 4*j**2 - 2*j**2)*(32 + 4*j - 32).\nAnswer: 32*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -4 + 11 + -12 + -7.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 368139.3ns?\nAnswer: 0.000006135655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 7*i - 24 = -5*o, 0 = 2*i - 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7831 and -0.00969755494.\nAnswer: 7830.99030244506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 96\/42) + (-121)\/(-7). Suppose -l*a - a = -1044. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682797 is divided by 61925.\nAnswer: 1622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 531 = -2379. Let b = 5270\/9 - p. What is the common denominator of b and 31\/25?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 15 + -10 + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1950 divided by -39\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from {l: 2, k: 4, n: 2, h: 1, m: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.41 - 0.61. Let c = -25 + 24.8. What is the closest to c in -4\/9, 0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 2\/51, 6, 2.7?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/7030 and 43\/44992.\nAnswer: 224960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**3 + 7*l**2 - 10*l**2 + 3*l**3 + 2*l**3 to i*l + t*l**3 + j*l**2 + q and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n. Let p(v) = -17*v**2 + 5*v - 5. Let j(c) = -2 - 18*c**2 - 4 + c + c + 4*c. Let u(b) = 5*j(b) - 6*p(b). Calculate o(u(x)).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28983 is divided by 282.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -5.6. Let s = -1.338 + y. Round s to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 3*y + 5. What is the highest common divisor of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -68699*f + 412197. Determine b(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 96*x + 891. What is the units digit of h(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/23, -1\/8, -329, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76832 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 560.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 0.013.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((0 + 2 + sqrt(1728) + sqrt(1728))**2 - sqrt(1728)) + sqrt(1728) - sqrt(1728)) + 3 + -1.\nAnswer: 336*sqrt(3) + 13834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*t + 11*t - t**3 - 1 - t**4 - 20*t + 3*t**2 in the form s*t**4 + n*t**3 + j*t**2 + a*t + b and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k + 4*k - 473*k**2 + 935*k**2 - 467*k**2.\nAnswer: -5*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 + -0.15. Let z = 0.08 + 4.92. Let v = -61\/15 - -17\/5. What is the closest to q in z, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + v - 4 = 0, -4*n + 12 = -4*v + 7*v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(7) + -5*sqrt(7))*-2 - sqrt(7)) + -2.\nAnswer: 1 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 205826 (base 13) in base 5?\nAnswer: 143124310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3302614*m*y + 17234881*m - 3*y wrt y.\nAnswer: -3302614*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 <= 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122686437.\nAnswer: 3, 31, 1319209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.3. Let y = 111.13 + -112. Let w = -0.37 - y. What is the second smallest value in w, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, 2, -4, -61, 47, -1 in descending order.\nAnswer: 47, 6, 3, 2, -1, -4, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24267059 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2054 - 697 = -7*q. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 8*l - 3*l + 24, m - l - 8 = 0. Solve -16 = m*f, -2*d + 5*f + 18 + 6 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*y - q, -2*q - 4 = -0. Let w(g) = y + 163*g**2 - 161*g**2 + 6. Let a(j) = j**2. Determine a(w(m)).\nAnswer: 4*m**4 + 64*m**2 + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, m: 7}. What is prob of sequence bm?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/3108 and -89\/23310.\nAnswer: 46620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*m + 1950 - 1513 = 2325 for m.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(156)*4)\/sqrt(12))**2.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 311496912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 17 + (-26 - (-146 + 95)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7777532 - 0?\nAnswer: 7777532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -2.402665?\nAnswer: -1.2013325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/((-24)\/(-16)) + 1403\/7. Let y = -203 + n. What is the second smallest value in y, -0.2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365721001 is divided by 1084.\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**4\/12 - j**3\/2 - 3*j**2\/2 - j. Let t be l(-2). Does 9 divide t\/(-2) + 34\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 + 8*z + 1. Let m be w(-5). Sort 3, m, -3, -5 in ascending order.\nAnswer: -5, -3, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*k**3 - 60*k**2 + 5*k + 62*k**2 - k - 2*k**4 to x*k + i*k**3 + m*k**2 + s*k**4 + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-1 + 375\/381). Suppose 5*q + 3*a - g + 47 = 0, -32 = -2*q - 3*a. Suppose 5*z - q - 64 = 0. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*p = 8*p + 117. Let w(c) = 10 - 3*c**3 - 2*c**3 + 7*c**2 - 4*c**3 + 11*c**3 + 2*c - c**p. Give w(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 11. Let f be p(9). Suppose 5*w + 2*y = f*w, 5*w = 5*y. Suppose w*j = -5*s + j + 462, s = -2*j + 88. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 25*i = 27*i - 116, 2*q - 38 = -5*i. Let j = 682 - 570. What is the lowest common multiple of j and q?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208868?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/2)\/p*p**(-4))\/(p*p*p\/(p\/(p*p*p**(-2\/7)*p*p)*p*p)*p*p)**(-44)*(p\/(p*p**(2\/15))*(p*p*p\/((p*p**(-3\/4))\/p))\/p)**(-1\/2) assuming p is positive.\nAnswer: p**(207161\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3497368?\nAnswer: 2, 7, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212 + 211?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 594 = -2*a, -3*a = p + 9 - 120. Suppose -1313033*c + 1313007*c + 780 = 0. What is the smallest common multiple of c and p?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 - 66. Let f = -0.9 + 0.4. Which is the second smallest value? (a) f (b) 0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = -3*k - 6*a + 8, 0 = -k - 3*a + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (238\/(-28) + 9)*20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*r - 6220781, -10*r + 6*c - 3110429 = -11*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1209 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((130\/15)\/(-13))\/(24\/6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -127. Let o = 53 + p. Let x = o - -16. Do x and -8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + -2 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dedeedmpeld. Give prob of sequence dl.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -334591 * -0.002\nAnswer: 669.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191895 by -12793.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 100359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 17.14. Let g = 3 + -1.14. Let l = q - g. Which is the closest to -1\/4? (a) 5 (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 786\/2358*-1*24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 5*u**3 + 1025*u**2 + 53040*u + 52020 = 0.\nAnswer: -102, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/8*-2*(3 + 0). Let c(j) = 22*j + 20. Let h be c(n). Which is bigger: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1723 - -1724. Which is smaller: 57\/40 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - (-12)\/4)*(-12143)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 70 = -4*g. Let m be (-3 - -2) + 81\/g. Let w = m + 31\/10. What is the common denominator of w and -65\/68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -8) + 6 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -864965 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10 + 9)*12\/2. Let b(d) = d - 7. Suppose -v = 5*c - 31, 5*c - c + 4 = 4*v. Let p(m) = -v + 14 + 10 - 5 - 2*m. Give h*p(s) - 11*b(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - 1) + 7 + 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1 - 7 = 5*k, -5*u + 3*k = 46. Let d be u\/(-44)*(-1288)\/(-2). Let v = 117 - d. What is the biggest value in -5, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 5, -1\/85, -11\/4 in descending order.\nAnswer: 5, 1\/6, -1\/85, -11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -516 (base 8) in base 12?\nAnswer: -23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 383 divide 41151367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8609, 8582, 8499, 8330, 8045?\n\"Answer: -5*m**3 + 2*m**2 + 2*m + 8610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-208872)\/(-192)*-4*4\/(-6) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (7 + (-7 - (-3 - -1)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k + 57*k - 256. What is the lowest common multiple of k and 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*-2*sqrt(704)*-2 + -5*(sqrt(704) + 1) + 2*sqrt(704)*2 + -3)**2 + -4.\nAnswer: -336*sqrt(11) + 6381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = 6*j + 2*j + 6276414. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/10? (a) -31751 (b) 2 (c) 55 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1596\/25 - -14909\/100. Let g = -85 + x. Let j be (-1)\/(1\/1) + 9. Which is greater: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90*-10.5\nAnswer: -945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 264 - 263. Let s be -2*(((-7)\/2)\/1)\/g. Solve -s = 3*q + 8 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -20*w**4 - 19*w**3 + 9*w**2 + 8*w - 13. Let q(s) = -10*s**4 - 10*s**3 + 4*s**2 + 4*s - 6. Let b(a) = 6*m(a) - 13*q(a). Solve b(d) = 0 for d.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (1\/(-4))\/(8\/32)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 14*s**2 + s**2. Let q(u) be the second derivative of 1\/3*u**3 + 0*u**2 - u + 0. Determine j(q(f)).\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.79 * -5.\nAnswer: 3.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - h**2 - h + 8. Let s be l(0). Let m = -6 + s. Solve m*p = 2*c + 6 - 2, -5*p - 4*c = -19 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 1:57 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from tkktdfgdotfokt?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 13.5884 hours?\nAnswer: 48918240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5817781*d**2 - 2908981*d**2 - 2908873*d**2.\nAnswer: -73*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -14*n + 13*n. Suppose 0*p - 280 = -5*k + n*p, -2*k = -p - 111. Let u = 19 + k. List the prime factors of u.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1722, 1722, 1724, 1728, 1734, 1742, 1752?\n\"Answer: d**2 - 3*d + 1724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - ((-6)\/(-3) - 0). Suppose d - 6 = -h*d. Suppose -5*y - d*u = -20, 0*y - 3*u + 13 = -y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39590 is divided by 39344?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96 + 5*p**5 + 57*p**2 - 95 + 41*p**5 + 6*p**5 + 5*p**5 wrt p?\nAnswer: 3420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -244 + 244.5. What is the biggest value in -5, 0.019, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/1400149 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 205462599337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**4\/6 - 2*j**3 + 3*j**2 - 745. Let x(t) = -t. Give -s(f) + 3*x(f).\nAnswer: f + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-6)*(-4)\/(-5). Let n = 3 + q. Solve -n*x = 0, x + 16 = 4*g + 5*x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 21*p**2 + 231*p + 21. Give b(29).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 9 = i, 514*i + r = 512*i + 12. Let q(d) be the first derivative of 1\/4*d**i - 3\/8*d**2 - 6 - 3\/2*d. Suppose q(f) = 0. What is f?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 63. Suppose -3*f + n - 6 = 0. Is 6050\/44 + f\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1 (b) 317 (c) 1\/15 (d) -5\/3 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -425806 or -4?\nAnswer: -425806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 3*c**2 + 6*c + 2. Let n(v) = v**2 - v. Let k(r) = -n(r) - q(r). Give k(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 81*u + 1424. Let x be n(56). What is the greatest common factor of 760 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 + 13*d - 14. Let t be f(8). Let o = 38 + t. Let l be o\/(-5 + 0) + 2. Solve -l*g + 3*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4597 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7206501.\nAnswer: 3, 349, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**2\/7 - 156*d\/7 + 3042\/7 = 0.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s**3 + 16*s. Suppose 0*w + 2*w - 32 = 0. Let o(x) be the first derivative of x**4\/2 + 5*x**2\/2 - 120. Let j = -2 + -3. Give j*d(k) + w*o(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15629.\nAnswer: 15629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001269976583 rounded to six decimal places?\nAnswer: 0.00127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**2 - 77*s + 512. What is y(8)?\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 150498 (base 12) to base 2\nAnswer: 1010110001110110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(-1*sqrt(3)) - 5*sqrt(18)*2)\/(sqrt(12)\/(sqrt(162)*-1)).\nAnswer: 99*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -2, -4, 55\/6, -2833?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 20 + 35 - 2*n - 15.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -1\/2*m**3 + 1\/24*m**4 + 0 + 0*m - 4*m**2. Calculate f(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**4 - 2*v**3 - 7*v**2 + 20*v - 12 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2)\/q)\/(q*q*q**(1\/5)))**(-4\/3)\/(((q*q\/((q\/(q*q**(-4)\/q*q))\/q))\/((q\/(q\/(q*q**(-1\/7))))\/q))\/(q**(-2)*(q\/(q**(-3)\/q))\/q)) assuming q is positive.\nAnswer: q**(818\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-9) + (-118)\/(-6). Let o = -35 - -23. Let s = g + o. What is the remainder when 20 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39\/2 or -159\/14?\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 88 divided by 22\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5700*a = -5631*a - 483 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -30) + (3 - 69 - -6)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9065317 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.99988 - 7. What is s rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 576 + -322. Suppose -3*x - v = -5*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214767 is divided by 320?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.3 to the nearest integer.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 0 - (-208)\/130. Let u be (-1)\/(-2*(2 + -1)). What is the third smallest value in z, 5, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*t - 5*j + 55181, 2*j - 110374 = -4*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34224113?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -320\/2128979 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b + 11*b - 17*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 935 is divided by 314.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/10 and -97\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 39*n = 40*n - 2, 3*n - 15 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 4*p + 28, -264*s + 30 = -269*s + 2*p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 909740, 7277596, 24561780, 58220456, 113711788, 196493940, 312025076, 465763360?\nAnswer: 663166956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 + 60 + (1 - 4 - 7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + (1*sqrt(2500) - sqrt(2500))\/(sqrt(5) + (sqrt(25)\/(sqrt(15)\/sqrt(3)) - sqrt(5))) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 62224 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*a = 105*a + 138 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o + 1. Let t(f) = f. Determine n(j) - 4*t(j).\nAnswer: -9*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - 17. Let n = 24 + a. Put n, -3\/8, -0.2 in descending order.\nAnswer: -0.2, -3\/8, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 11:30 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, u: 2, o: 1, g: 1, t: 3, e: 6}. What is prob of picking 2 a?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 208837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwwffwwhwwwww. What is prob of sequence ff?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k**2 + 64\/3 + 1\/6*k**3 - 8*k.\nAnswer: (k - 4)**2*(k + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -901 divided by -97.\nAnswer: 901\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 o when four letters picked without replacement from {p: 5, o: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnn when three letters picked without replacement from {l: 2, n: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.264, -4.\nAnswer: -4, 0, 0.264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.9 + 17.1. Let p = q - 19. Is 23 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 + 2 - 2125*o**6 - 1326*o**6 - 59*o**2 wrt o?\nAnswer: -414120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-2\/3)*v)**(-36)\/(v**(-1))**(-3\/4))**(10\/17))**37 assuming v is positive.\nAnswer: v**(-555\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffwwwjyw. Give prob of sequence wjwf.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*t + 550 = 142. Suppose t*f - 34 = 2. Solve 0 = -4*c + z - 18, -f*c - 7*z + 3*z - 4 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 180426507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1582 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118316 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-6*-2*sqrt(102))\/(-5*sqrt(30)\/(1*sqrt(5))).\nAnswer: 12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(-7 + 7 - 8*v).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 502*y - 12061 = 495*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1337*j + 11 + 1373*j - 1 + (0 - 3 + 5)*(j + 3*j - 3*j) in the form f*j + k and give f.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 30 - 60. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3427*a + 1007 = 3374*a for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21506 times -0.4\nAnswer: 8602.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d4016 (base 15) to base 2.\nAnswer: 101011101010111101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.65796814 rounded to four dps?\nAnswer: -0.658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/6*13\/156. Suppose 5*i + 11 = -c, -4*c - i - 6 + 0 = 0. Let x = -860\/3 + 287. What is the second biggest value in n, c, x, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3465 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/((-24)\/501)*-2 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 2*b + 34, 2*c + 606*b - 607*b - 2 = 13 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express f - f + 6362*f**2 - 12175*f**2 in the form v + c*f**2 + m*f and give c.\nAnswer: -5813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1*1)\/(4\/(-44)). Suppose -4*n = -3*n + 4*l - m, -3*n + l = -20. Let g = n + -5. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25485178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 11 - 97 = 0. Let h(z) = z**2 + 39*z + 4. Let g be h(-39). Calculate the remainder when l is divided by (-5 + (-49)\/g)\/(12\/(-16)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 5. Let m be (a - 0)\/(4\/(-140)). Suppose z - 7 = m. Calculate the greatest common factor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 + 89 = -4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 6:17 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 245 + -250. Sort -3, r, 5, -4 in descending order.\nAnswer: 5, -3, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -465280, -930250, -1395222, -1860196, -2325172, -2790150, -3255130?\n\"Answer: -w**2 - 464967*w - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-70)\/(-4)*48\/3 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, p: 5, h: 4, q: 3, c: 1, i: 4}. Give prob of sequence cli.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 - 2*f**2 - 4*f**2 + 8*f - 12*f**2 to p*f + s*f**2 + n and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (6*sqrt(68)*-2 + sqrt(68))**2 + -3.\nAnswer: 8227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*n**2 - 57*n + 57*n + 118*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.4 - -6.4. What is the nearest to k in 3, 0.2, 7\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beakqaqeeqyqeqyqb. What is prob of sequence yky?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*c = 7 - 45, 3*c - 6 = 0. Calculate the lowest common multiple of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1 = 7. Suppose a*i + 49 + 7 = 0. Let z(b) = -2*b - 14. Is 14 a factor of z(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.8496 less than -7?\nAnswer: 54.8496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220, 435, 650, 865, 1080?\nAnswer: 1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4390 + 6276. Calculate the smallest common multiple of 246 and h.\nAnswer: 5658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 7*q + 566 + 4*q - 6*q - 384 - 501. Determine i(65).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63 + 58)\/(2 - 4 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times -4.3?\nAnswer: -68.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 217*f - 14 - 209*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a**3 - 82*a + 29*a**3 - 87*a - 58*a + 227*a.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**2 - z**2 + 3*z**2 - 3*z**3 = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 347.37 - -2.63. Let p = -352.07 + w. What is p rounded to 1 decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 64 - (368 + -400).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + 6 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -7 - (-7 - (-70 + 26))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - -17)\/(0 - -1). Suppose -3*l + 1755 = -2*f, -1170 = -5*l + 3*l + 4*f. Suppose t*v - l = 2*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 796.012ng?\nAnswer: 0.000796012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4*b + 7*b - 26, -4*b + 3 = x. Suppose -b*t - 51 + 167 = 0. Is 29 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 92 = 38. Suppose 15*v = 13*v + u. Solve 0 = -v*a - 1 + 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*u + 155 + 85 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5684189, 5684187, 5684185, 5684183, 5684181?\n\"Answer: -2*i + 5684191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t - q - 18, 4012*q - 30 = -3*t + 4009*q for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -9*f + 6*f - 1 + 5, 4*f + 97*l = 801 + 448 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 11449761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2916))\/(sqrt(96)\/sqrt(200)) + 0.\nAnswer: 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.105 + 0.105. Which is smaller: 22 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*8\/(96\/(-20))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*j - 36, 0*j = -j + k + 8. Suppose 2*i - j = -i. Let g be (2\/i)\/(1\/4). Put g, 4, -5 in ascending order.\nAnswer: -5, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 4*p**2 - 4*p + 1. Let v be m(-3). Let z be (24\/18)\/(2\/3). Which is smaller: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1401 + -856. List the prime factors of t.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*h**3 + 3*h + 7*h**3 - 81*h**3 - 17*h**2 + 25*h**3 + 7*h**2 to a*h**2 + t + r*h + c*h**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -4. Let y(h) = -3*h**2 + 2*h - 2. Let p be y(2). Let n = -7 - p. Calculate the highest common divisor of i and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42590 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4764*y**3 - 32*y**2 + 64. Let g(d) = 433*d**3 - 3*d**2 + 6. Calculate 32*g(h) - 3*j(h).\nAnswer: -436*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 637662?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*p - p + 4*z, 9 = 4*p + 3*z. Let f(y) = 2*y - 12. Let o be f(p). Let j = 1\/82 - 251\/410. Is j not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 5.5. Let s = 0.925 - 516.925. Let v = s - -519. Which is the third biggest value? (a) -3\/5 (b) 2\/9 (c) n (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 34 - 28. Suppose i*q - 840 = -4*v, -q = -3*q - v + 852. Suppose -2*c - 5*p + 276 = 0, 4*c - q = -2*p + 156. List the prime factors of c.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2 + 11 + 5*m**2 - 4*m - 3*m**2 - 3*m**2. Let u be t(-5). What is the greatest common factor of u and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324 is divided by 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -592 divided by 16\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + 2*m**2 + 901*m**3 - 2712*m**3 + 901*m**3 + 879*m**3.\nAnswer: -31*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.32 + -1.62. Which is the nearest to -2? (a) p (b) -3 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3960 and 694480?\nAnswer: 68753520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 26139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22638, 22654, 22686, 22740, 22822, 22938, 23094, 23296?\nAnswer: 23550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 f, and 1 g when four letters picked without replacement from fdjdjdfdrdgdfdffdd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 l when four letters picked without replacement from qtmamqllqrmrqra.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*i**5 + 8*i**3 - 417*i**2 - 2.\nAnswer: -720*i**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 20*m - 35. Let p be i(-18). Let z be ((-3)\/(-9))\/((2 + p)\/45). Put 2, -4, 5\/6, z in ascending order.\nAnswer: -4, 5\/6, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 193176075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47 - 5*f**2 - 19 - 20*f**2 + 5214*f**3 - 15081*f**3 - 3*f**2 wrt f.\nAnswer: -59202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -5 (c) 3 (d) 141 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/4 of a kilogram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*m + m = 7, 10 = 4*o - 2*m. Let c(u) = u - 4*u + 4*u. Determine c(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssskskssksss. What is prob of sequence skk?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 245826 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -1)\/((-2)\/41). Let f be (-2)\/10*-3 - 6834\/(-335). Let p = f - s. What is p rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from teteetffemmeettc. Give prob of sequence em.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, q: 2}. Give prob of picking 1 e and 2 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9))**(-14\/3) assuming i is positive.\nAnswer: i**(-28\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 615160 and 545272.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4769072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -6296.14 to the nearest 100.\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 79481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06281836465 rounded to three decimal places?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 21*f**2 + 22*f + 28. Let j = -11 + -9. Let h be k(j). Let x(g) = -g**3 - 11*g**2 + 10*g - 6. What is the lowest common multiple of 6 and x(h)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3883*o**3 + 189*o**2 + 3545015*o wrt o?\nAnswer: 23298*o + 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -24 + 14. Let n(b) = 5*b - 17. Let c be n(6). Put f, 0, 1, c in decreasing order.\nAnswer: c, f, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 54*k + 250. What is the units digit of v(38)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 152*s**3 + 137*s**2 - 11*s - 15. Determine r(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6*((-8)\/3)\/(-2) is divided by 4\/6*(-9)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30, 0, -68, -192, -390, -680?\n\"Answer: -3*g**3 - g**2 - 6*g + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -11 + 3. Let c(t) = -2*t**2 - 2*t - 6. Let b(w) = w + 1. Let v(d) = m*c(d) + 5*b(d). What is v(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/4)\/((-3)\/36). Let v be (-4)\/(-5)*(-45)\/n. Let k(c) = -8*c. Let x(z) = -z. Let q(i) = v*x(i) - k(i). Let g(b) = 2*b. Give q(g(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 6 = 3*v. Let h = -363 + 366. Solve h*g - 11 = v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 12:31 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 times -0.0877?\nAnswer: -25.6084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 469900, 470233, 470566?\nAnswer: 470899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -5) + -4 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -11*s + 195. Let c be m(18). Is (c\/(15\/25))\/(1\/(-1459)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 104.9 + -84. Let o = -21 + p. Which is the nearest to o? (a) -2 (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -0.4 (c) 4.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 0*r**3 + 0*r**4 - 2\/5*r**5 - r - 94 - 81\/2*r**2 - 16\/3*r**6. What is the second derivative of b(n) wrt n?\nAnswer: -640*n**3 - 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 338 or -21?\nAnswer: 338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-320)\/(-64) - 0\/(-2). What is the third derivative of 1 + 86*q**x + 16*q**2 - 1 - 105*q + 105*q wrt q?\nAnswer: 5160*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 21*j**2 + 52*j + 38. Let m be w(18). Let y = -3 + 6. Which is the nearest to m? (a) 1\/2 (b) 1\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -228*b**5\/5 + 455*b**4\/6 - 14*b - 24. Find the third derivative of s(t) wrt t.\nAnswer: -5472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + 5*sqrt(425) + 3).\nAnswer: 4 + 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3*c = 6, 292*w + 10 = 296*w - 5*c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*a**3 + 37*a**3 - 20*a**3)*(-2*a - 2*a + 2*a) + (-2 + a + 2)*(-2*a**3 - 5*a**3 + 5*a**3).\nAnswer: -80*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(35)*1 - sqrt(35))\/((sqrt(7) - (sqrt(84) - sqrt(84)*1)\/sqrt(12)) + sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -218*i. Let j(w) = w**2. Calculate j(m(y)).\nAnswer: 47524*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z + 226. Let k be f(-31). Suppose -4*d - 216 = -5*v, -4*v = -d - 93 - k. What is the highest common factor of v and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5025 and 15277005.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-2 - 0 - (-28 + 18)) + 2) - 15.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/126 and (-219)\/270*132\/21 - -5.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801 is divided by 97.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*z - 40*z = -307364. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1717747, 6870981, 15459703, 27483913, 42943611, 61838797?\nAnswer: 84169471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62441304?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 59832 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13783*m + 5 - 10 + 3 + 1.\nAnswer: -13783*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/(-3))\/((1065\/(-45))\/(-71)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u**2 - 19630 + 9815 + 9815.\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*h - 93*h = -12352. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdan when four letters picked without replacement from {d: 6, h: 4, n: 3, a: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 2*a + 4*a)*(-a - 2*a + a)*(-375*a - 11 + 376*a + 149)*(-2 + 2 - 2*a).\nAnswer: 28*a**4 + 3864*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, -5, -2, 1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -83, -138, -207, -296, -411, -558, -743?\nAnswer: -972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 3*c + 105. Let s be (-219)\/7 - 10\/c. Let u = -13 - s. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -559, -893, -1247, -1627?\nAnswer: -2039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 536*y + 578*y + 552*y - 492*y.\nAnswer: 1174*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**8\/6720 - z**7\/315 - z**4\/24 - 8*z**2. Let n(a) be the second derivative of o(a). Find the third derivative of n(i) wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + (-1 - 2) + 2. Let m be j - 7 - (-16)\/5. Put -1\/3, 0.5, m in descending order.\nAnswer: 0.5, m, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 25 = z, 3*n + 4*z - 4 = -12. Suppose k = n*k. Suppose k = 3*q - 8*q + 75. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 + 24*n**3 - 6*n**2.\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3878 divided by 2984\nAnswer: -1939\/1492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/761 - -1139\/95886. Let d(t) be the second derivative of 0 - l*t**7 - 1\/36*t**4 - 1\/30*t**6 - 1\/20*t**5 + 0*t**2 - t + 0*t**3. Factor d(n).\nAnswer: -n**2*(n + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (568\/355)\/((-3)\/10*(-9)\/27)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 762056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -69237.4 rounded to the nearest one thousand?\nAnswer: -69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-1 - -3) + (8 - 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 1 = 5*i, -4*i = 8 - 0. Suppose d*w = -w. Suppose w = -2*k + 7*k - 55. What is the highest common divisor of k and 110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**2 - 249*s + 6554. What are the prime factors of a(124)?\nAnswer: 2, 3, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 155\/(1240\/288).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/v**26)*v\/v**8*(v**(-13))**(2\/5) assuming v is positive.\nAnswer: v**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3412 and 149138520.\nAnswer: 3412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1250 plus 14?\nAnswer: -1236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*-1*2\/(-4)*1. Let k be 13 - 10 - x\/1. Let f = 3 - 7. What is the smallest value in k, -1\/4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 1.1. Let c = 2 - 3. What is the closest to 2 in c, g, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*1\/(1 - 0) + 5. Is 8 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202032*s - 40608 = 202455*s for s.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 - 19*x**2 - 10*x + 2. Let u be z(10). Solve 0 = -u*t + g + 8, 5*g + 1 + 4 = 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 14*j**2 - 28*j - 52. Let h be y(11). Let k = -2 + 0. Sort 1, h, -5, k in decreasing order.\nAnswer: h, 1, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -335120, -334666, -334212, -333758, -333304, -332850?\nAnswer: -332396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/98 and (-2166)\/(-504) - 4*3\/4.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 3*c - 3*c)*(5 - 1 - 1)*(-2*c**2 + 2*c - 2*c).\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 714 = 5*d - 2*a, -394 = -4*d + 2*a + 178. Suppose -o + 6 - 1 = 0. Solve -o*r + d - 137 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -668*p**4 - 416*p**2 + 23569216?\nAnswer: -2672*p**3 - 832*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 4. Let i = -1 + 3. Let c be y(i). Suppose 0 = -2*t - c*t + 164. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in -4, 2\/13, 5, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -24\/7 + 10\/7*l**2 + 8*l = 0.\nAnswer: -6, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3682*r**2 - 1809*r**2 - 1822*r**2. Let k(f) = -f**2. Give k(o(u)).\nAnswer: -2601*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5 - 10 = 0. Solve -4*y = b + 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-21) - 0)\/(-1). Let f = -327 - -334. Let g be 1*393\/(-56) + f. What is the nearest to 0.1 in 0.1, g, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 1049*l**8\/336 - l**4\/24 + 1388*l**3\/3 - 655*l**2. Find the second derivative of w(m) wrt m.\nAnswer: 20980*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 686657*z - 682926*z + 5.\nAnswer: 3731*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.26 and -2.58808.\nAnswer: 5.8490608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6*13187\nAnswer: -79122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 5 - 52 = 3*o + 4*j - 23 + 2, 0 = -3*j - 24 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131195.\nAnswer: 5, 19, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*v + v. Let z = -20 + 76. What is the highest common divisor of v and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 21. Solve -3*q - q = -5*l + n, -3*q = l - 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -19070.\nAnswer: 1\/9535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3 = -p. Let t(m) = m**2 - 4*m + 2. Let q be t(4). Put q, 3, p in descending order.\nAnswer: 3, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 3*d**2 + 3*d - 3. Calculate m(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6*j = -126. Let a = j - 27. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -190 + 175.95. Let c = 14.055642 + b. Round c to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 7 + -13 + (-6 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -207 - -206.5. Suppose 3*j - 20 = -2*j. Which is the smallest value? (a) -5 (b) j (c) v (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3458273*w**3 - 8723*w**2 + 8723*w. Let s(g) = -793*g**3 + 2*g**2 - 2*g. What is -8723*s(j) - 2*y(j)?\nAnswer: 793*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-25)\/20)\/(-5))\/(4\/16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 10. Let y = d + -9. Put 0.3, y, 5 in descending order.\nAnswer: 5, y, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-three quarters of a millennium?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172681366.2394 - -0.3.\nAnswer: 172681366.5394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/17 (b) 2 (c) 1977\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zopp when four letters picked without replacement from {e: 3, p: 7, z: 5, o: 4}?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l - 1. Let d(s) be the second derivative of s**3\/6 - 4*s. Let f(t) = -6*d(t) + 2*h(t). Determine f(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*j**3)*(221 - 109 - 124).\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 20*b**2 - b. Let l(q) = -q**2 - 10*q - 1. Let d be l(-12). Let z = d + 26. Let r be u(z). What is the greatest common factor of 57 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -21. Suppose 5*x - 4*c - 38 = -c, 4*x = -t*c + 56. Let g(i) = i**3 - i**2 + i. What is the remainder when x is divided by g(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -65*y - 97. Suppose -17 - 4 = -l. Calculate the least common multiple of b(-2) and l.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(156) - sqrt(156))*-4 + sqrt(156) - sqrt(156))*-6)\/((sqrt(1452)*-2 + sqrt(1452))*1).\nAnswer: -24*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3100 + 3?\nAnswer: 3103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4932 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (55*-1 - -2)\/(4\/(-844)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13\/5 (b) 0.05 (c) 0.02 (d) -2\/7 (e) -0.16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/7 + ((-15)\/7)\/5. Let x = 18 + -53\/3. Factor -x*f**w + 1\/3*f**2 + 0*f + 0.\nAnswer: -f**2*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10*2\/(-4)*1. Which is the biggest value? (a) 3 (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = p + 2*p. Suppose -p*o - 3*k + 5 + 0 = 0, 4*k + 5 = -5*o. Let f(l) = l**2 + 3*l + 1. What is the tens digit of f(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4 + sqrt(1100) + 4)**2 + ((sqrt(176) - sqrt(176)*5)*1 + -3)**2.\nAnswer: 96*sqrt(11) + 3925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2. Let d(n) be the second derivative of -116*n**3\/3 - 156*n. Determine d(f(b)).\nAnswer: -464*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5026740 + 5?\nAnswer: 5026745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.31 - 0.31. Let x = 0 - w. Let z = 7 - 12. What is the closest to x in 0.3, z, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22575\/(-270900) - (-1)\/36?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -877 + 15?\nAnswer: -862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuuueuuueu.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 79998*b + 2. Let f(m) = 17 - 10 + m - 7. Let h be f(1). Let v be o(h). What is v rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -13. Suppose -2*a - 4*k = q, 2*a - 8 = 4*a + 2*k. Are a and -9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326, -646, -966, -1286, -1606, -1926?\nAnswer: -2246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36680503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31372462 * -0.1.\nAnswer: 3137246.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaoao. What is prob of picking 2 a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 4*v**2 + 3*v - 4. Let k be o(3). Let u = k - -4. Suppose -38800 = -4*l - u*l. What is l rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**4 + 4 - 3 + 5*u**4 + (-u**2 + u**2 - u**2)*(-10*u + 10*u - 4*u**2) + 9*u**4 - 23*u**3 + 23*u**3 as z*u**2 + s*u + q + l*u**3 + v*u**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/77284 and 9\/556.\nAnswer: 77284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 22223*b**2 + 2*b - 1. Let q be l(-3). What is q rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52855 bigger than 52865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1 = -2. Suppose 2 = 3*t - y. Let z(q) = -6*q**3 + q**2 - 4*q - 6. Let d(k) = -k**3 - k - 1. Determine t*z(g) - 4*d(g).\nAnswer: -2*g**3 + g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/4 + 2361*d\/4 + 2363\/2.\nAnswer: -(d - 2363)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n = -7*n + 1, 0 = 3*s - 2*n - 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - s + (-s + 0*s + 3*s)*(2 + 1 + 0) + (-2*s + 2*s - 2*s)*(1 - 2 + 3)*(5 + 1 + 9).\nAnswer: -55*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -233 - 0.2.\nAnswer: -233.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7647845461 to the nearest integer?\nAnswer: 87452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 313220 + -2?\nAnswer: 313214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 916 + 375. What are the prime factors of b?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*h**2 - 3*h**2 - 6*h**2 + (-2*h + 2*h - h)*(3*h - h + h) to t*h**2 + n*h + r and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2152?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 9736*x = 9739*x + 3, -q + 12 = -3*x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 1794?\nAnswer: 12558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 9) to base 13\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*d + 3*f - f, -5*d - f = -26. Suppose -d*o - 3*h + 43 = 0, 3*o + 3*h - 21 = -0*h. Solve -4*j = o + 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 270317 and -41.\nAnswer: 270276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000061654 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3850 + -3849.9. What is the closest to b in -0.2, -0.42, -47\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 514 = -2*d - r, -482 = -2*d - 4*r. Which is smaller: d or 250?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j*(j*j**3)\/j))\/j*j**(-8))**2*(j**0)**(13\/3)\/(((j\/j**(2\/3))\/j)\/j**1) assuming j is positive.\nAnswer: j**(-67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-14))\/(77*4720\/1749055)?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -335279 by 1.\nAnswer: -335279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -5071?\nAnswer: 5071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((81\/144)\/((-5)\/(500\/75)))\/(246\/(-16))\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19393?\nAnswer: 11, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 - 43. What is the remainder when (-4170)\/(-21) - ((-54)\/(-14))\/(-9) is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 30. Suppose 0 = o*d - 5*n + 8 - 22, -14 = -4*d + 3*n. Suppose 0 = -8*a + 4 + 28. Solve d*r - r = a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + h + 20 - 11*h**2)*(-2 + 3 - 2)*(-2 + 3 - 2).\nAnswer: -11*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 1053*b - 28760. Calculate w(27).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127, -115, -103?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*b = -17, 0 = -4*y - y - 2*b - 4. Suppose 0*g - 355 = 5*g. Let k = g - -499\/7. What is the nearest to k in y, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/15 - 0\/(-2). Let d be (-4)\/(-10) + 52\/20. Let o = d + -3. What is the second smallest value in -1, i, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*x + 3*h - 33, 0 = -4*x + 4*h + 132. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4163423 * -5\nAnswer: 20817115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63054 and 325314?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7629*v - 68. Let k be x(8). What is k rounded to the nearest one thousand?\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -17*q + 5. Let h be s(1). Let a be (4 - (-27)\/h)*(-12)\/(-1). Calculate the highest common divisor of 42 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*p - 124*p + 646 = 0. Let g = -14 - p. What is the greatest common divisor of 980 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljl when three letters picked without replacement from {l: 5, j: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270647?\nAnswer: 13, 109, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -97*n**5\/4 - 238*n**2 + 796*n. Find the first derivative of l(r) wrt r.\nAnswer: -1455*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1390557 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -4. Solve 10 - z = -3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2144, 0.05, -1\/8 in ascending order.\nAnswer: -1\/8, 0.05, 2144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45523?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/51 and 56\/1444575?\nAnswer: 1444575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2019?\nAnswer: 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2896 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279230142 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-4 + (-4 - -4) + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2058692?\nAnswer: 2, 41, 12553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11855476 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/4 (b) 0.5 (c) 59 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16050476 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*f**2 - 4*f + 4*f + 0*f in the form r*f + q*f**2 + u and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 870, 4633, 10874, 19569, 30694, 44225?\nAnswer: 60138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11930 and 262460.\nAnswer: 262460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420310938?\nAnswer: 2, 3, 70051823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19487 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 730b7749 + -4?\nAnswer: 730b7745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-154))\/(24\/(-1)*144\/(-756))\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1541, -1418, -1089, -452, 595?\n\"Answer: 17*c**3 + c**2 + c - 1560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38877718 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -353978, -707954, -1061924, -1415888, -1769846, -2123798, -2477744?\n\"Answer: 3*u**2 - 353985*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 10:40 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-15)*1*(-6)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12954, 52623, 118736, 211293?\nAnswer: 330294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((-37)\/(-444))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*3*((-22)\/22)\/(-6*(-186)\/(-12))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/7)*s)**(-3\/35)\/(s*s\/(s*s**(-2)*s*s)*s)**(-8) assuming s is positive.\nAnswer: s**(3896\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 7. Let n be o(-9). Suppose -c - 3*c + 47 = j, -j = n*c - 51. Calculate the remainder when j is divided by 1*(-18 - 1)*-1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {y: 3, r: 3, z: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -615 (base 16) to base 14.\nAnswer: -7d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453587.\nAnswer: 19, 23873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108197?\nAnswer: 257, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j**2 - 7*j + 3. Let z be r(1). Suppose 4*t = -4*a + 44576, -a + z*t + 10636 = -505. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*f - 2*q - 36, -20 = 2*f - 2*q. Let a = f + 6. Let z(d) = d**2. Calculate z(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -11705?\nAnswer: 11704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 5687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 16 = -3*y, -2*l = -6*y + 2*y + 40. Suppose 1211 - 179 = 4*m + 4*x, -2*x = -y. Is m + (0 - 3)*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/7)*k*(k**(-3\/4)\/k)\/k)\/(k**(-1))**(-13\/2))**(2\/67) assuming k is positive.\nAnswer: k**(-235\/938)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -3*i - 11*s - 20, s + 4 = -2*i. Suppose i*a - 15 = -5*a. Suppose -12 = -2*x - x. Solve -a*p = p - x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4976 and 1240268?\nAnswer: 4961072","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*m = m + 990, 0 = -3*n + m + 740. What is the remainder when n is divided by 63?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*i + 414 = -67*s - 62*i, 2*i = 4*i + 8 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 6*x - 6. Let l be n(-4). Let z(y) = y**2 - 26*y + 0*y**2 + 33*y + l + 0*y**2. Let k = -10 + 5. Give z(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 6) + (-63)\/(-15)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 889559698 and 3034.\nAnswer: 3034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 5*g**2 - 2*g + 5. Let x be b(-5). Let l = -12 - -18. Let t be 2\/1*9\/l. Solve 3*h = h + t*z - 4, -h - x = 5*z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = l - v, -3*v = -2*l - 0*v + 12. What are the prime factors of (l - -149) + (0 - -1)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -18 + 5 + 15 - -7. Solve -g*y + 72 = 99 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = t + 103. Let p = 212 + t. Calculate the greatest common factor of 130 and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14409\/910 - 111\/7. Find the common denominator of a and 53\/55.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 19602, 2\/11, -5, -1 in increasing order.\nAnswer: -5, -1, 2\/13, 2\/11, 19602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 143375 divided by 6\nAnswer: 143375\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 1164 - 1168 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1071 - -0.107099121. Round x to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 + 10*d**2 - 6*d**2 - d**2 - 13.\nAnswer: 3*d**2 + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 80116404.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 3, -42, -75997.\nAnswer: -75997, -42, 1\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 2)*12\/(-15). Let f be p\/(-7)*(-21)\/30. Suppose 2*o = 3*o + 4, -5*o = 5*y + 45. Sort y, -0.1, -3, f in descending order.\nAnswer: f, -0.1, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 7*i**2 + 6*i + 4. Let r be (1*-4)\/(14\/21). Let u be p(r). Solve 2*z = -3*q + 3, 0 = u*z - 0*z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-2) - (-54)\/4. Suppose -l*c + 148 = -14*c. Is 148 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l = 6. Suppose 0 = -2*v - l*v + 60. Let u = v + -7. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -349*h**3 + 27*h + 110975.\nAnswer: -1047*h**2 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1331 - -120223013?\nAnswer: 120231010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2326 - -4005. What is the derivative of 36*p**2 - 1679*p + 8 + d*p wrt p?\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 at least as big as -233\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -33*k**2 + 5*k. Let o(s) = 32*s**2 - 6*s. Determine 5*o(w) + 6*p(w).\nAnswer: -38*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 19 = 5*n, f + 2*n = -2*f. Suppose -f = c - 4. Solve 2*i = c*x - 8, -2*x + x = -3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2. Let q(d) = t*d - d - 2 - 2*d - d**2. Suppose -2*f - 4 = -f. Calculate q(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 522.8876 to one decimal place.\nAnswer: 522.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -2, 2 in increasing order.\nAnswer: -2, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**6\/30 - f**5\/15 + f**4\/3 + f**2. Find i such that z(i) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -30962*w. Let u(n) = 5*n**2 + 35. Calculate a(u(h)).\nAnswer: -154810*h**2 - 1083670","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -2*y**3\/3 - 10. Suppose 0 = 4*o + o. Let n(m) = -3*m - m + o*m. Determine x(n(d)).\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 63713.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**3 + 23*p - 2*p**3 - 6*p**3 - 14*p**3 wrt p.\nAnswer: -144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5784\/132 + (-2)\/(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/4)*r*r)\/r*r*r\/(r**(1\/5)\/r)*r*r**(-4)\/(r**(-10)\/r) assuming r is positive.\nAnswer: r**(221\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22 or 2791?\nAnswer: 2791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*q**2*t**3 + 3*q**2*t**2 - 598*q**2*t - 2*q**2 - 4*q*t**2 + 440*t**3 wrt t.\nAnswer: 42*q**2 + 2640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7057510 - 12?\nAnswer: 7057487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1249\/10374 + 2\/399. Let c = v - -19\/52. Let w = -4 - -1. Sort c, w, -1\/4 in decreasing order.\nAnswer: c, -1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 g when four letters picked without replacement from rgrgglgglgrrglrg.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 + 61\/((-13420)\/(-1848)). Suppose 14 = -5*z + d + 3, -z - 3*d = -1. What is the closest to -1 in z, -13, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -4a2?\nAnswer: 4a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**3\/7 - 284*p**2\/7 - 2658*p\/7 - 2376\/7 = 0.\nAnswer: -132, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.109.\nAnswer: 0.0327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from vvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1197936082?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 376*a + 152389. What is i(-403)?\nAnswer: 861","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - -3) + 10 + 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1664, 1661, 1658, 1655, 1652?\nAnswer: 1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165096.\nAnswer: 2, 3, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14\/12*-5*9\/(-735)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 63672 + 2?\nAnswer: 63674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -277 minus 0.03?\nAnswer: -277.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1290*j**5 - 443*j**3 - 6137*j**2 + 6139*j**2 + 1289*j**5 + 44*j - 2 wrt j.\nAnswer: -20*j**3 - 2658*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 12 = 10*a. What is the greatest common factor of 108 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 6*z = -369*b + 341 + 766, -2*z - 3*b + 5 + 5 + 5 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(-8)*(5 + 2355\/(-459) + (-52)\/234)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 3514.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -36. Let b = n - -5. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47115909067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -194 - -198. Solve -5*v + 7*v = -z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5717, -11396, -17015, -22544, -27953, -33212, -38291?\n\"Answer: 5*d**3 - 5714*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w - 4. Let m be ((-3)\/(-3))\/(2\/(-26)). Let h = m + 9. Let r be q(h). Solve -3 = r*a - 2*k - k, -18 = 3*a + 3*k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101101 (base 2) to base 8.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -5) + (0 - (-60 - -151)) + 0 + -13.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*w + 4, 4*l + 5*w = 7*w + 24. Solve l*v - 4 = 2*o - 10, 0 = 5*o - 25 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 11552*x - 57764. Calculate o(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2)**1*j**(-4)*j*j**(5\/4)\/j assuming j is positive.\nAnswer: j**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 11*z - 193. Let q be l(18). Solve -q*p + 30 - 15 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6953137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -30.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1647)\/1708 + (-5)\/(-4). Which is the third biggest value? (a) x (b) 14 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3 - f**3 - 7*f + 6*f**2 + 2*f + 0*f**3. Let j(v) = -v + 1. Let k be j(-3). What are the prime factors of o(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*i = q + 234, 3*i = -4*q + 466. What is the highest common divisor of 161 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 938350 rounded to the nearest ten thousand?\nAnswer: 940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.972827428 rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 117751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -4*f - 5*j + 621, 2*f + 3*j - 374 = 0. Calculate the least common multiple of f and 14.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1293084*c**2 - 1293088*c**2 - 1293083*c**2 + 3879256*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -278030 divided by -55606.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -9*w**3 - 3*w**2 + 8*w - 13. List the prime factors of o(-11).\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2678364 a multiple of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.04 (b) -293\/6 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**5 - 6*d**4 - 45*d**3 + 108*d**2 = 0?\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-38)\/(-1) + 0 + 4. What is the third derivative of -3*q**2 + 10*q**2 + 0*q**2 - 29*q**3 + o*q**3 wrt q?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4*g + 4 + 71 - 71 + 22*g + (3 + 2*g - 3)*(-1 + 3 - 4) + g - 2*g - 2*g.\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 404367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3032, 6, 2, -1, 0 in decreasing order.\nAnswer: 3032, 6, 4, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*f - 1, 4*c = 3*f - f + 8. Is (2\/(-6))\/(f*(-7)\/(-134358)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.9 * 15.\nAnswer: -358.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(968\/(-16))\/(-11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 941377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -13. Suppose -h = -n + 35. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**5\/5 + 9*c**4\/5 + 69*c**3\/5 + 99*c**2\/5 + 42*c\/5 = 0 for c.\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249799303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 275 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h - 55. Let u be c(-18). Let y(f) = -f**2 + 15*f + 36. Let k be y(u). What is the second smallest value in k, -0.06, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17351093 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7471117753 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 15*x - 11*x**3 - 4*x**4 - 11 + 16*x to the form n*x**4 + s + q*x**3 + v*x**2 + h*x and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -416 + 615. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1)*w)\/(w*w**(-6)))\/((w**1\/w)\/w*w*w)**19 assuming w is positive.\nAnswer: w**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 206600 and 14600?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**6 + 5051*j**5 + 206*j**2 + 7*j wrt j.\nAnswer: 240*j**3 + 303060*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w**3 - 515*w**2 - 495*w**2 + 787*w**2)*(3 - 6 - 3) to x*w**3 + z*w + f + m*w**2 and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 1. Let q be w(-1). Let a = q - -5. Calculate the remainder when (-44)\/(-4)*(a - 2) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7971 < -23912\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 15 + 15 = 0. Let f(j) = 5*j**2 + 10*j - 8. Let g(m) = 9*m**2 + 19*m - 15. Let y(v) = 7*f(v) - 4*g(v). Determine y(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*g + 1 = 0. Solve 0 = w - l - g, 2*w - 3*l = w + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4962, 4722, 4060, 2766, 630, -2558, -7008, -12930?\n\"Answer: -35*p**3 - p**2 + 8*p + 4990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 340 - 3144?\nAnswer: -2304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4995.5 - 4995.4999978579. Round a to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 11*f**2 - 140*f + 854. Is p(6) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 92170682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - t - 6. Calculate y(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66.79 - -67.09. What is the nearest to -2.6 in 0, 0.08, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/20 of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1131131 (base 6) to base 14\nAnswer: 174d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -152399597 and -0.4.\nAnswer: 60959838.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 47*g - 12. Let z(p) = -11*p + 12. Calculate s(z(f)).\nAnswer: -517*f + 552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3230, -3231, -3232, -3233, -3234, -3235?\nAnswer: -3236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103896288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139181.3 meters to nanometers.\nAnswer: 139181300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 4. Let z be 27\/21 - g\/(-14). Suppose l - 4 + z = 0. Solve -4*t - 10 = -k, 0*k = l*k + 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(((y*y\/(y\/y**1))\/y)\/y)*y**(-4\/3))**(31\/4) assuming y is positive.\nAnswer: y**(-31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (45 - 24 - 75)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3374 - 3370. What is the closest to -7 in 1\/3, b, 11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423 is divided by 132.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c + 13700000. What is c rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/((l**(-1)*l)\/l))**(-43)\/(((l*l**9*l)\/l)\/l**(2\/3)) assuming l is positive.\nAnswer: l**(-415\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 7*g + 32 = 5*k, 4*g - 5*k - 64 = 0. Factor -42*i + g + 24*i**2 - 4*i**3 + 53*i - 47*i.\nAnswer: -4*(i - 4)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 200278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93 - -521. Does 51 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -7. Calculate the remainder when 45 is divided by 146\/6 + b\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160685543.\nAnswer: 160685543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*x - 25 = -5*g + 320*x, 5*x = 3*g + 13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - 18. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102596242.\nAnswer: 2, 7, 7328303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/182 and -75\/6188?\nAnswer: 6188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4118 + 6507. What are the prime factors of g?\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214, 429, 644, 859, 1074, 1289?\nAnswer: 1504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 281 = 4*q + 550, -q = 5*f - 4197. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11037.95 to the nearest ten.\nAnswer: 11040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 - 31 - 92)*(4*i - i - 4*i) + 2*i + 0*i + 0*i.\nAnswer: 170*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -0.2 (c) 8.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 124*q - 111*q - 23855. What are the prime factors of q?\nAnswer: 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6584 and 55608464.\nAnswer: 6584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*d + 5. Let c = -3 - -6. Let g = 2 - c. Is g >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553 is divided by 46?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 15) in base 3?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -25?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.5387 - 12.208. Round l to two dps.\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.1 (c) -0.03 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 3*l - 12. Let n be (-36)\/8*4\/3. Give c(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -48, -122, -268, -510?\nAnswer: -872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36.6555 + -16.115. Let j = l - 6.807. Let p = j - 13.7. Round p to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*z + 108*z = -6. Let a(y) = -3*y**3 - 5*y**2 + 4*y. Let g(n) = 3*n**3 + 4*n**2 - 3*n. Calculate z*a(h) - 4*g(h).\nAnswer: -3*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpp when three letters picked without replacement from {x: 1, k: 8, c: 1, v: 1, p: 2, g: 1}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-1\/5)*r*r\/(r*r**(-1\/4)\/r))\/(r*r**7\/r*r*r\/r**(4\/7)))**(-50))**19 assuming r is positive.\nAnswer: r**(71535\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 2, u: 17}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*p - 2*p + 4*p)*(-1 + 2 - 3) - 5*p + 3*p - p)*(-4 + 4 + 1).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(991 + 133 - 344)*(-6*f - 2 + 3*f + 0*f).\nAnswer: 4680*f + 3120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 4*d + 2. Let m(n) = n**2 - 6*n - 3. Let y(l) = -2*m(l) - 3*u(l). Let q(f) = -103*f. Determine y(q(b)).\nAnswer: 10609*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 50558508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -943*f**2 + 27*f + 19. Calculate b(-1).\nAnswer: -951","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -881 (b) 3\/4 (c) -344 (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.6 - -4.1. Let h be (-3 - -3) + 3\/(-4). Which is the closest to t? (a) 5 (b) h (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.23 * 80.\nAnswer: 18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -u + 5*f - 36, 0 = 4*u + 17*f - 84. Which is the nearest to 10? (a) 0 (b) -3\/23 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((-24)\/(-4)*(-2)\/6). Solve 9 = -4*a + k, t = -4*a - k - 0 + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 16 = -k. Suppose 0*w + k = 4*w. Let z = 8 - w. Calculate the smallest common multiple of z and 26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -414?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 9.67, 129\/4, -0.4, -6?\nAnswer: 129\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h - 16 - 38. Solve 4*t = 4, 0 = 8*c - h*c - 4*t + 14 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 542830*n + 9770925. Determine d(-18).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) 48 (c) -5 (d) -238\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102339237 is divided by 158175?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + n + 4 = 0, 5*m - 41*n + 44*n + 10 = 0. Let h(f) be the first derivative of -f**2\/2 + 1. Let d(y) = y**3 - y**2 - 6*y - 2. Give m*d(u) - 6*h(u).\nAnswer: u**3 - u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**3 - 6*w**2 - 6. Let x be (1\/(-2) - 0) + (-99)\/(-18). Let j(s) = 3*s**3 + 5*s**2 + 5. Calculate x*n(p) + 6*j(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -162 - -141. What is the common denominator of (t\/7 - -4) + 128\/(-6) and (-8)\/(-14) + 2 + 0?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**3\/3 + 391844*r**2\/3 - 391312*r\/3 - 17240960 = 0 for r.\nAnswer: -11, 12, 97960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 17*y**2 + 19*y - 35. Let p be m(-15). Suppose 9*d - p - 365 = 0. What is the remainder when d is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/22 and 54\/6265.\nAnswer: 137830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -31916*m - 31916. What is o(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -0*f - 2*f. Suppose 3*o = o - 34. Let v = o + f. Solve -v*d + 2*d = -25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 757107589 to the power of 1\/3, to the nearest integer?\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.5392213 and 1.21?\nAnswer: 3.7492213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 22*x - 549. What is u(37)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34132 = -3190*p - 122178 for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/22 and 91\/48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 - 14 - 15*j)*(3 + 0 - 2) + (1 - 1 + 2)*(-2*j + 2*j + 3*j) to the form u + i*j and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59705 is divided by 1269?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-50)\/63 - 9\/((-63)\/4). Suppose z - 5*k - 30 = 2*z, -2*k = z + 15. Let g be 2*1\/(2\/(-4)). What is the third smallest value in z, g, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260080672.\nAnswer: 2, 2161, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75 by 115553.\nAnswer: 75\/115553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -354*a**2 - 5 + 5. Let u(l) = -2040*l - 2043*l + 4081*l. Calculate u(d(q)).\nAnswer: 708*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72439.\nAnswer: 107, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1204981 rounded to 4 dps?\nAnswer: 0.1205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2042949834?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (4\/4 - 3). Suppose 0 = -x*v - 0*v + 120. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 58*k**2 - 4*k - 28. Determine q(-4).\nAnswer: 916","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -21*i + 8. Suppose -2*z - 1048 = -3*r, 4*r - 6*z + 4*z - 1398 = i. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 - 10?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + 3. Let b = 49 - y. Let a(s) = 8*s**2 - 5*s - 8. Let o(g) = -15*g**2 + 9*g + 15. What is b*a(c) + 6*o(c)?\nAnswer: -2*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69587*m**3 - 9*m**2 - 16*m - 11785754 wrt m?\nAnswer: -208761*m**2 - 18*m - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 + 7*t. Let b be r(-4). Suppose -o - b*o - 5*u = -30, 2 = -2*o + 5*u. Is 379 + -4 + o + 3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -41, -92, -149, -212?\n\"Answer: -3*q**2 - 42*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y. Suppose 2*a + 5*w = -0*a - 10, a + 10 = -5*w. Let u(v) = 4*v + a*v - 3*v. What is u(n(d))?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*j + 59834 - 59780 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 0 - 1\/105*a**5 + 0*a**3 - 1\/315*a**6 + 29*a + 1\/42*a**4 + 0*a**2. Determine t so that k(t) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**(-28)\/(r\/r**(-2)*r**(-3\/2)*r) assuming r is positive.\nAnswer: r**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11131.\nAnswer: 11131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -923, -2060, -3637, -5876, -8999, -13228?\nAnswer: -18785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 15*n + 19. Let i be p(16). Suppose q + 4*a - 16 = -i*q, 0 = -3*q - 4*a + 11. Sort q, 0, 0.4 in descending order.\nAnswer: q, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409207303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -5)*7*8\/84\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -39 + ((35 - 72) + 60 - 9)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 16978 = 3*k, 3*k + 27196 = 3*p + 5*p. List the prime factors of p.\nAnswer: 2, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1069 is divided by 40.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 + 10*k**3 + 2*k**3 + 10*k + 5.\nAnswer: 12*k**3 + 10*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/20 + 38\/57*(-57)\/8. Suppose -2*h = -4*a + 16, -15 = -5*h + 5*a - 40. Suppose u + 2*u = 12. Sort h, u, v.\nAnswer: v, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, v: 3, j: 1}. What is prob of picking 1 o and 1 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7848388470 rounded to the nearest one hundred thousand?\nAnswer: -7848400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -2 (b) 2\/17 (c) -2\/21 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 2\/68877, -1, -0.2, -2\/3?\nAnswer: 2\/68877","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 18 = 22. Let m(d) = 3*d + 3. Let p(c) = -2*c - 2. Determine u*m(t) + 7*p(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 1983084?\nAnswer: -991542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -14*a**2 + 23 - a**3 + 13 - 15*a + 0*a. Let f be q(-13). Calculate the greatest common factor of f and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5195*g - 4282244 + 4282242 - 19652*g)*((-g - 4*g + 3*g)*(2 + 3 - 3) + g + g - 4*g).\nAnswer: 86742*g**2 + 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 22448580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 9*v + 2*y + 109 = 0, -5*v - 2*y = -121. Suppose s + 11 = p + p, 0 = 5*p - s - v. Solve -p*b - 1 = -3*o + 22, 5*b = -2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(5))**2 - sqrt(5)) + 4.\nAnswer: -sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 211112002 (base 3) to base 4\nAnswer: 10000202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/5850 and 58\/325?\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**3 + 46*l**2 - 37*l - 19. Does 85 divide r(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 14 = 4*z. Solve 2 = -p + z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, y: 1, n: 1, i: 1, z: 2, c: 1}. What is prob of sequence pzpc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7644 divided by 3?\nAnswer: 2548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - -0.3. Let l be ((20\/(-45))\/4)\/((-1)\/(-3)). Which is the third smallest value? (a) v (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 935686046?\nAnswer: 2, 19, 23, 1070579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(36)*1)\/sqrt(12) - (sqrt(3) + -2)*1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -9 + 57. Let l = 5 + -5. What is the remainder when 1 + l + 0 + 46 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 371 + -3?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*w + 95*w + 149*w = -16*w - 5700 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2*(-5)\/(39950\/(-564))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 8 + -7 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 349.\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -199, 10, -61.\nAnswer: -199, -61, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s - 11. Is 5 a factor of l(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000227634 to six dps.\nAnswer: 0.000228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqf when three letters picked without replacement from qrqnryylqnqqfyyqq.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3604208691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114022?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -6958 >= -6958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*w = 0. Suppose -s + 8 = t, -3*s - 8 = -5*t - w*s. Suppose 48 = t*f - 0*f. Is 12 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-19)\/(h*h**(-17)))\/((h\/(h\/h**(6\/5)))\/h*h*h)**(-2\/7) assuming h is positive.\nAnswer: h**(-83\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11065 and 12.\nAnswer: -132780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 454.6996l in millilitres?\nAnswer: 454699.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 290 (base 11) to base 13\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 206 + -138. Let u(z) = 0 + 0 - j*z**2. Let t(q) = -2*q**2. Determine u(t(d)).\nAnswer: -272*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 620.7 times 0.23065\nAnswer: 143.164455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 166822994099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0*h + 10616235. Let q = 6738745 - h. Suppose -2*v = -v + q. Round v to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -30311?\nAnswer: 30313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32514117 or 32514116?\nAnswer: 32514116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 + 28 = -v + 4*w, -2*w = 3*v - 100. Suppose -1928 = v*a - 38*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 0 - (7 + -1) - 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5735)\/(-180)*-25*2. Let y = c - -1595. Calculate the common denominator of 45\/11 and y.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -0.3, -12?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s**2 + 3*s + 4. Let b be r(0). Solve b*v - 59 = -63 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2054, 3258, 5266, 8078, 11694, 16114, 21338?\n\"Answer: 402*k**2 - 2*k + 1654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1364*n - 693*n - 347*n - 387*n.\nAnswer: -63*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 + 4*k + 2. Let y be l(-2). Let a = -14 + 75. Suppose -a = -y*i - 13. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 1\/2*x**4 + 4 + 0*x + 2\/3*x**3 + 0*x**2. Find the third derivative of g(q) wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-1 - (2 - -1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**9)**(-12\/17) assuming z is positive.\nAnswer: z**(-108\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (414\/21)\/((-3)\/21). What is the remainder when (-5)\/(-10) - i\/4 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*i = -0*i + 8626. Let l(s) = -110*s**2 + 3*s + 1. Let d be l(5). Let m = i + d. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -79372 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/15 + (-2)\/5. Suppose -p = -4*l - 85, -298 = -4*p - 5*l - q*l. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1006, 357, -2, 0, -3 in increasing order.\nAnswer: -1006, -3, -2, 0, 5, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 4, -4\/9, 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1011101 (base 2) to base 16\nAnswer: 5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 786521.4ml?\nAnswer: 786.5214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**2 - 5*o - 1. Let a(c) = -c**2 - c - 1. Let z = 31051 + -31052. Calculate z*t(n) + 3*a(n).\nAnswer: n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*a - 134970, 4*a + 3*o - 130200 = 49802. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/18 - (-10)\/3. Suppose -t - 3*t - 13 = -5*p, 3 = -3*p - x*t. Is 8 a factor of (-6 - -9) + 21*p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k**(-7\/3)\/k)*k*k\/k**16 assuming k is positive.\nAnswer: k**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 4*r - 466, 3*g + 4*r = 7*r + 258. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i - 1. Let k be m(1). Let s be ((-7)\/k - -3)*-4. What is the greatest common factor of 6 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 6 - -3) + 0 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 180, 9, -284, -705, -1260, -1955?\n\"Answer: -s**3 - 55*s**2 + s + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 100*g**2 + 101*g + 3. Does 20 divide t(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -9\/2 (c) -3405\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 8*h - 17. Let k(z) = -2393 + 1201 + 0*z + z - 2*z + 1194. Determine 51*k(r) + 6*w(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*0.1253\nAnswer: -0.003759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**2 + 7*l + 7*l**2 - 3*l + 3. Suppose 4*u + 3 + 5 = 0. Is 20 a factor of z(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4)\/j*j)**(19\/2)\/((j*j**(-1\/3))\/j)**(-10) assuming j is positive.\nAnswer: j**(-23\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h + 0*h**4 - 1\/2*h**2 + 1\/2*h**5 + 1\/3*h**3 + 0. Give y(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.033618 to three decimal places.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jffbffbjbbffjiffbb. Give prob of sequence jijb.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 397*r**3 - 3*r**2 + 7*r - 589. Let j(u) = -406*u**3 + 4*u**2 - 9*u + 590. Let h(a) = -4*j(a) - 5*p(a). Find the second derivative of h(c) wrt c.\nAnswer: -2166*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 0 + 10. Let y = 6 - f. Solve -y = -2*h - 5*t + 6, 2*t = -3*h + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 16 = 3*n - 14, 2*n = 4*o + 30. Suppose -n*u + 38 = -7*u. Suppose -90 = -j + u. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from {a: 1, w: 7, e: 1, n: 1, b: 4, v: 4}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270444 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25.5 + 25.6. Let b = -0.99 + 1. What is the smallest value in 1\/6, b, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 11:44 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/2957704 and -83\/221666?\nAnswer: 405205448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 27. Let y(a) = 2*a - 41418. What is y(s(d))?\nAnswer: 2*d - 41472","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v. Let m(u) be the first derivative of -u**6\/360 - u**3 - 1. Let f(n) be the third derivative of m(n). What is h(f(x))?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1295*t + 1303*t = -24 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-6) - (-21)\/(-36))*-76. Suppose 0 = -j*p + 12*p + 13867. What is the second derivative of -2*a + 22*a + p*a**3 - 2011*a**3 wrt a?\nAnswer: -180*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -51391*u - 616764. Determine m(-12).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 0*p - 7*p + p**2 + p - 2*p**2 - 6. Let x be j(-4). Solve 0 = -g + 2*g, -2*w + 2*g = -x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/1 + 200\/48.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 2646?\nAnswer: -2645.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 787 - 786.99601. Round g to four dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**5 - 208*t**4 - 6736*t**3 + 65216*t**2 + 1448480*t - 12390400 = 0.\nAnswer: -22, 10, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 6*n - 15. Let g be l(6). Suppose 4 = 4*s - 2*s. Is (68\/(-6))\/s*g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1318 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1872) - (sqrt(1872) - (1 + 1*sqrt(1872)))) + (1 + 1*sqrt(1872))**2 - (-1 + (sqrt(1872)*-3)**2 + -1 + -3).\nAnswer: -14971 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -73 divided by -59\nAnswer: 73\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1402 - 1004. What is the remainder when s is divided by 104?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1821 = -2*j, 5*x + 4550 = j + 4*j. Let k = 9089\/10 - j. Find the common denominator of k and ((-202)\/55)\/((-8)\/(-10)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 8:18 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -104, -153?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 865 divide 1609066945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - 91*1320\/2849.\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86721508?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.6 + 4.6. What is the fourth smallest value in 3, z, -0.4, -4\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4842793 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: Two letters picked without replacement from xxyxxxxxxxxxxxx. What is prob of sequence yx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -13353.\nAnswer: -13350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -8. Suppose 0*y + y - w = 0. Differentiate 0*h**2 + 11 - 19 + y*h**2 wrt h.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3, 3\/5, 17\/3, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - y - 3 = -4*y + y, 0 = -5*y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -277, -415, -553, -691, -829?\nAnswer: -967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(153) - sqrt(17)) + 5 - 1*sqrt(425)).\nAnswer: -20 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n + 23. Give l(19).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (-3)\/1)*1. Suppose 0 = 8*l - 5*l - 30. What is the remainder when l is divided by 10\/25 - (-38)\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 2*b. Let i be g(-6). Let k = -3 + i. Calculate the highest common divisor of 30 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/503310 and -127\/1156730.\nAnswer: 65933610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.1 and -0.02.\nAnswer: -0.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13222 + 4552. Suppose u = -2*g - 3*g - 8877, 2*u + o = -5*g. Let d = -4497 - u. Round d to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27.69939 litres?\nAnswer: 27699.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 3)*(m**5 - 14 - 2*m**3 - m**2 + 14).\nAnswer: -3*m**5 + 6*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110 + -10110?\nAnswer: 111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*4\/(-6)*2\/(-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -142*w**3\/3 - 185*w**2\/2 + 677. What is the second derivative of y(q) wrt q?\nAnswer: -284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211 = -2*z + 622*y - 615*y, 4*z + 100 = -4*y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**3*y**3 - 33*k**3 - 72*k**2*y**5 + k*y - 2 wrt y.\nAnswer: -6*k**3*y - 1440*k**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13 + 44)*(-3)\/(-9). Solve -b = 3*b - 3*c + m, 4*b + 3*c = 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05780186847 to 5 dps.\nAnswer: 0.0578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10865?\nAnswer: 5, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4167\/2086 + 11\/149. Calculate the common denominator of 37\/2 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k = -11*k - 99. Calculate the smallest common multiple of 27 and k.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - 2*sqrt(2299))**2 - (sqrt(38)\/sqrt(2) + sqrt(19) + -2 - sqrt(19))**2) + -5 - 1*((-1*1*sqrt(76))\/(-2*sqrt(36)))**2.\nAnswer: 4*sqrt(19) + 81737\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 + 5*u**3 + 182*u**4 + 2*u - 178*u**4 + 0*u**3 as o + x*u**2 + p*u**4 + a*u + s*u**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 411975 and 14625.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 16\/(-100)*-15. What is the closest to 0.2 in -1\/5, -5, -4, b?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-6*sqrt(272) + sqrt(272) + -2 - ((sqrt(17) - (sqrt(85) + sqrt(85) + sqrt(85) + 2*sqrt(85))\/sqrt(5)) + 0)).\nAnswer: -16*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -283 - -283.07. What is the fourth smallest value in q, 1, 2\/15, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -551270799*d - 629115204 wrt d.\nAnswer: -551270799","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 16 = -8*m. Suppose 4*n - 15 + 2 = -h, 0 = n - m*h + 18. Let z be 2 + 45\/(-12) + 1. What is the nearest to n in 0.5, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**2. Let j be (-1 - 9)\/((-8)\/4). Let l be (6\/(-15))\/(j\/(-50)) + -2. Let c(g) = 47*g + 3*g**l - 47*g. What is c(b(y))?\nAnswer: 48*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(30)*2)\/sqrt(10).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 311.28987341 + -311.29. What is a rounded to six decimal places?\nAnswer: -0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -2. Suppose q*a - 6 = 4. Suppose a*y + 7 - 45 = 2*n, 3*n + 43 = 2*y. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10350 (base 9) to base 10\nAnswer: -6849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6044717401?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/5 less than or equal to 285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 146556250 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 1 + 49. Let o be ((-36)\/(-21))\/(k\/273). Let c = o + -47. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**4\/2 - 143*q**3\/2 - 289*q**2\/2 - 145*q\/2 = 0 for q.\nAnswer: -1, 0, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72575.\nAnswer: 5, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 446.4003ml to litres.\nAnswer: 0.4464003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*x = -23*x - 13*x + 5*w - 37, -x + 3 = -5*w for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51546639181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 13) + (-1 - -21 - 4)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5372.11 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 27 = m, -4*m = 3*w - 6*w - 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/sqrt(6) + sqrt(13) + 1 - (sqrt(65)\/(sqrt(20) + sqrt(5)))**2)*-1.\nAnswer: -2*sqrt(13) + 4\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 3:46 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(3\/5)*i*i))**(-1\/7)*i**(-1\/5)*i*i*i\/i**(-1) assuming i is positive.\nAnswer: i**(141\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 438668894 rounded to the nearest ten thousand?\nAnswer: 438670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v + j - 26 = 0, -3*v + 5*j - 22 = 0. Suppose w + 32 = -3*r, 3*r = 4*w + 118 + 55. Let l = -38 - w. Sort v, 4, l in descending order.\nAnswer: 4, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 7*q - 15 = 0. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2*k*w**3 + 3*c**2*w + 81*c*k*w**2 + 7*c*w**3 - 8*w**2 wrt k.\nAnswer: -c**2*w**3 + 81*c*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2162 and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 16*a**2 + 18*a + 22. Let w be t(-17). Factor g**3 - g**w - 3*g**4 + g**2 + 2*g**4 + 19*g - 19*g.\nAnswer: -g**2*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/(-2))\/(4*81\/(-30)). Let c = s - 1\/18. Let i = 2.4 + 0.6. Sort c, i, 0.2 in descending order.\nAnswer: i, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -20 - (23 + -22 + -8)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {k: 1, o: 1, t: 1, r: 1, b: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/42 - ((-4157)\/21 + 18\/(-54)). Which is bigger: 204 or n?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - o = 15 + 6, -v - 15 = -5*o. Solve 4*r - 5*r + v = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 7*h**2 + 13*h - 1. Let r be g(6). Suppose 40*o - r*o + 1397 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5\/7 - 46*o**4\/7 + 254*o**3\/7 - 498*o**2\/7 + 288*o\/7 = 0 for o.\nAnswer: 0, 1, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 7*y - 6. Let s be z(5). Let l(b) be the first derivative of -5\/2*b**2 - 1 + 1\/4*b**s - b**3 + b. Give l(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 317561*k**3 + 0*k**2 - 317565*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**4 + 4040*p**3 + 3995*p**2 - 32340*p - 48420 = 0. What is p?\nAnswer: -807, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2079\/(-3915) + 8\/(-116)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*x, 3*r - x + 3 + 2 = 0. Let l = 2 + r. Let d be 578\/9 + l\/(-9). What is d rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -3. Let t = 161 - 112. Let c = -97\/2 + t. What is the closest to -2\/3 in c, x, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000053028 rounded to 7 dps?\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 13 + 7. Let a = 1 - 1. Let g be (-2)\/(-5) - 16\/(-10). Solve 2*d = 5*f - 2 + 7, a = b*d - g*f - 18 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*x - x. Let u = x + 27. What is the remainder when 2 + (2 - 4) + 17 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -4476062722100\nAnswer: -4476062722096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00026076 to 6 dps.\nAnswer: 0.000261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 371 - -279. Suppose 4*d - 840 = 4*r, w = -0*r - 3*r - d. Which is greater: r or -214?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -6, -2, 0.5 in ascending order.\nAnswer: -6, -2, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-37)\/4736*32)\/(2\/136).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13921891 to the nearest integer?\nAnswer: 3731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 0*y - b - 1, 0 = 4*y + 3*b + 24 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 1447 - 1434 = -2871 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*v = 48, -3*q - 34 = 3*v + 14. Let b = -13 - q. Suppose -2*m = 6, 0 = -b*s - 5*m + 8 + 13. What is the smallest common multiple of s and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 6 = 1. Suppose -3*y + a = 5*d, 3*d + 2*d + y + 3 = 0. What is the remainder when 8 is divided by d\/(-2)*6 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-10))\/((-18999)\/(-2111))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 12695.\nAnswer: 4\/12695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((13\/((-39)\/6))\/(-19))\/1.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 3090.\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 15*a**2 + 35*a + 8. Let o be t(-4). Calculate the greatest common factor of o and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-99))\/((-8)\/(-54))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3 - 38 = 0. Let x be 554\/16 - (-540)\/1440. What is the remainder when 6 is divided by 115\/x + (-2)\/b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 456 + -454. What is the second biggest value in -9, -0.1, 11, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8804 and 355?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/7)\/(15\/63). Factor -r*d**3 + 0*d - 8\/5 + 14\/5*d**2.\nAnswer: -2*(d - 2)*(d - 1)*(3*d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17b902 + -3?\nAnswer: -17b905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**2*k**2 + f**2 + 470*f + 81*k**3 - 1 wrt k?\nAnswer: -4*f**2*k + 243*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62\/(-93)*(3 + (-36)\/8 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 16) in base 9?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -278 less than -275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 3. Let o = -8 - -13. Suppose -10 = o*i + 15. What is y(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 147 = -b, -b + 154 - 5 = m. Suppose i = -2*y + b, -2*i = 3*i - 5*y - 665. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-9))\/(2\/8). Let w = -35 - -35.4. What is the second biggest value in w, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3390294 is divided by 116892?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**4\/3 + 16*i**3 + 72*i + 102. Let l(u) be the first derivative of v(u). Determine o, given that l(o) = 0.\nAnswer: -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 23 - 8. Let h = 8 + o. Suppose h*p - 71 = 109. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -0.5, 2, 5, -0.3.\nAnswer: -0.5, -0.3, 2\/13, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8520 - 8520.1. What is the nearest to 418 in 2\/5, d, -4, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-113)\/(28476\/(-280))*9\/(-4)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/2452795 and -59\/20?\nAnswer: 9811180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (11 - 4) + -5 + 6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h - 3*h + 2*h. Let b(f) = -4*f**2 - 3*f - 3. Let g(m) = 12*m**2 + 8*m + 8. Suppose -d - 10 = -2. Let u(l) = d*b(l) - 3*g(l). Calculate w(u(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 12989.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*a - a - 4, 23 = 4*a - 5*z. Let o(d) = 6 - 6*d**a - 4 - 2. Let l(t) be the second derivative of -t**3\/3 - 2*t - 912. Give l(o(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245463191?\nAnswer: 79, 251, 12379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15187, -121452, -409907, -971650, -1897779, -3279392?\nAnswer: -5207587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-3 - -8) - (-1 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 4*s + 87. Suppose 3*b - s = -t - 7, 0 = -3*b + t + 26. What is the remainder when 0 + 0 + (-2 - (-36 - -3)) is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 265399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-176)*11*(-54)\/15\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.2 (b) -1 (c) -2 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2885\/2 - 1442. Let g be (-2)\/6 + (-10)\/(-18). Let m(b) = 2*b**2 - 17*b + 6. Let q be m(8). What is the nearest to q in g, 3, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 262 divided by 98.\nAnswer: 131\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 0*u**3 - 1\/120*u**5 + 0*u + 1\/12*u**4 - 11*u**2 + 0 + 1\/240*u**6. Let h(d) be the second derivative of z(d). Give h(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 0. List the prime factors of 0\/o - (-33)\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-32)\/(-40) - 5\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*c = -126656754 + 16539414. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 44 = f, -3*f + 11 = -5*j + 39. Let y be ((-6)\/(-4))\/(4\/j). Suppose -3*x - y*c + 63 = 0, 7*c = 3*x + 2*c - 39. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.69 - 2.99. Sort -35, k, -5 in ascending order.\nAnswer: -35, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 162 = 20*z. Suppose -3*y = 4*w + 49, -y - 24 = 3*w - 3*y. Let x(q) = q**3 + 9*q**2 - 11*q - 8. Let h be x(w). Solve -z*m + h*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4236 - 4227 + 8463 + 3150*v to the form o + h*v and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/3*(-138)\/(-4) and -1*(-1)\/(-2) + 65\/150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 6 (c) 4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-3) - (-350)\/(-77). Let r = -1 + -4. What is the third biggest value in 0.08, a, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314429579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -g + 46619, 4*r - 186348 = -3*g - g. What are the prime factors of g?\nAnswer: 5, 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - (29 - 4 - (-25 + 37)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/8*a**3 - 21\/2*a**5 + 177\/4*a**2 + 3\/2*a - 3 - 255\/8*a**4 = 0. Calculate a.\nAnswer: -2, -2\/7, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n - 5*n + 2*n**2 + 5*n + 0*n**2. Let b(z) = -z + 4. Let p be b(6). Let w be c(p). Solve 5*k - 25 = 0, -w*a + k = 4*k - 19 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -145, 4, 2 in increasing order.\nAnswer: -145, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -8. Let c(u) = -4*u - u**2 + 12*u + u**2 - 11*u**3. Let t(s) = -4*s**3 + 3*s. What is x*t(w) - 3*c(w)?\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/3)*o)**(-45) assuming o is positive.\nAnswer: o**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7854 and 33?\nAnswer: 7854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/87, 4, -0.109?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 0 + z**3 + z**4 - 2*z**3 + 0*z**4 + 3. What is the third derivative of j(n) wrt n?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320292 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.3, 9, 7, -76?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, -1 in increasing order.\nAnswer: -10, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8\/11 (b) -0.2 (c) 0.7685868\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4612 or 3490?\nAnswer: 3490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 0*y + 3*y**2 - 2*y + 5*y**2. Let v be n(2). Suppose -4*a + 37 = k + 1, 4*a - k = v. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + (1 + 5 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106 divided by 5.\nAnswer: -106\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2047 smaller than -2046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1958 + 1080.3042. Round d to the nearest 10.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237550, -474387, -711238, -948109, -1185006, -1421935, -1658902, -1895913?\nAnswer: -2132974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 1. Let x = 135 - 144. Determine t(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 65?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - (127 + -35 + -41).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22230 (base 4) in base 10?\nAnswer: -684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0\/(i**5\/i))**(-5\/2))**(-44) assuming i is positive.\nAnswer: i**(-440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 - 2)*(-4)\/(-10). Let g(x) = 2*x + 4. Let i be 8\/12*(-9)\/(-2). Let f be g(i). Solve -f = -m*w - 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 16*w**2 - 17*w - 1. Let a be 2\/5 - (-254)\/(-10). Let z = a - -35. Calculate the remainder when m(-15) is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + (sqrt(1300) + 1 + -5 + 4)**2).\nAnswer: 6510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 6, o: 11, b: 1}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15052 rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0, -1, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 858 and 2403258?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**5 + 5*k**4\/4 + 5*k**3\/3 - 5*k**2\/2 + 27. Solve d(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 1 + 2*g + 3 + 12*g. Let a be q(3). Let d = -23 + a. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(57) + sqrt(1425))\/sqrt(3))**2 - (sqrt(2736)*-4)**2) + 0.\nAnswer: -43092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -97, -238, -447, -730, -1093, -1542, -2083?\nAnswer: -2722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -8*a + 0*a - 2 - a**2 - 5*a. Let t(x) = -x**2 - 26*x - 5. Let u(l) = -5*r(l) + 3*t(l). What is the smallest common multiple of u(7) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxgkgifixxi. Give prob of picking 1 k and 3 i.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 2*u - u)*(65*u**2 - 65*u**2 + 12*u**3) + 1 - 1 + 2*u**4.\nAnswer: 14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -0.2 (b) -2 (c) -21029\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 18229*o**2 - 538*o + 4. Let i be 32\/48 - (-22)\/(-6). Let n(j) = -18231*j**2 + 537*j - 4. Let r(f) = i*z(f) - 2*n(f). Let r(v) = 0. Calculate v.\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(110\/8))\/(15*42\/(-14175))?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.276709343 to 1 decimal place.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3 - 2 + 0 + 4*v.\nAnswer: 4*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 28 = -0*v. Let y(r) = -22*r - 69. Let x be y(-5). Let n = x - v. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 272780*a**2.\nAnswer: 4*a**2*(a + 68195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 + 0*x**2 - x**4 + 2*x**4 - 2*x**4 + 4*x**4 - 3*x**2 + 3*x**2 + 2*x**4 + (-2*x**3 - 3*x**3 + 3*x**3)*(-x + 2*x - 2*x) + 3*x**4 - 3*x**4 + 2*x**4.\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/5))**(-7\/2))**(-17)\/(r*r**(1\/10)*r*(((r*r*r**(-1\/3))\/r)\/r)\/r)**(-47) assuming r is positive.\nAnswer: r**(359\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*2)\/(6\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -252, 1 in ascending order.\nAnswer: -252, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*y + 12*y + 11*y**3 + (-4*y + 4*y + y**2)*(0*y + y - 2*y) - 2*y**2 + 2*y**3 + 2*y**2 + 0*y**3 - y**3 + 2*y**3 + (2*y + 3*y - 3*y)*(-y**2 + 2*y - 2*y).\nAnswer: 11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 375, 716, 1057, 1398, 1739?\nAnswer: 2080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9211 or -9207?\nAnswer: -9207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99 - -47. Let w = 52.157 + p. Let n = w - -0.003. Round n to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16675 and 103500.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 137, 159, 187, 221?\n\"Answer: 3*v**2 + 13*v + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*4*sqrt(170)*5)\/(-2*sqrt(10)*-2 - sqrt(40)\/(sqrt(4) + 1*sqrt(4))).\nAnswer: -200*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31032102 (base 4) in base 15?\nAnswer: 110ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3501, 7000, 10499, 13998, 17497, 20996?\nAnswer: 24495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8938 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: Collect the terms in 1565*x - 3 + 1571*x - 3113*x.\nAnswer: 23*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -22. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 143*b**3*j**2*w + 372*b**3*w - 9*b**2*j**2*w - 2*b**2*w - j*w wrt j.\nAnswer: 286*b**3*w - 18*b**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*0\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 19*d + 30*d - 11*d - d**2 - 18 - 8*d. Let y be k(18). Suppose 9*j + y = 621. Calculate the remainder when j is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66.2 - -91. Let b = n + -22. Let y = 1 + b. Round y to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t**(-7\/5)\/t))\/t**(-8))**30*(t\/(t*t**(-3)\/t)*t\/(t\/((t\/(t*t**9))\/t)))**(-27) assuming t is positive.\nAnswer: t**534","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2096636547?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*2*sqrt(19))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (45\/375)\/((-2)\/5). Which is greater: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2340618*f**3 - f**2 - 22*f - 457455287 wrt f.\nAnswer: 7021854*f**2 - 2*f - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 13927381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 423 - 423. Let g(l) be the second derivative of f - 2*l + 1\/3*l**3 + 0*l**2. Let z(k) = 2*k. What is z(g(a))?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/439536 and 91\/40.\nAnswer: 2197680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 429\/65 - 2\/(-5). Solve 2 = h + 2*p, 4*h - 1 - g = -5*p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 422 + 73 = 5*y, 4*y = 2*l - 486. Let f = 852 - l. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-790)\/25 - -4)*(-4785)\/(-1914)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*p**5 - 197251*p**2 + 5450188*p.\nAnswer: -640*p**3 - 394502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -59*q + 198. Let v(b) = 117*b - 429. Let t(i) = -6*v(i) - 13*x(i). Let k(j) = -30*j**2. Give t(k(h)).\nAnswer: -1950*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.77 - 1.77. Let s = -7 + 8. What is the nearest to -2 in n, s, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + p + 15. Let g = -19 + 19. What is the tens digit of n(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -133376 - -133376.00053721. What is r rounded to 5 dps?\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3839790 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x - 11*x - 4*x + 46.\nAnswer: -x + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*h = 6192 - 7012. What is the highest common divisor of 27240 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) -2 (b) 227612 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -180.78293 rounded to 1 dp?\nAnswer: -180.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -9, 8 in descending order.\nAnswer: 8, 5, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 45) + 48 + (-2 - (-2 + 1))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 136*k**4 + 27053*k**3\/8 - 8145*k**2\/4 = 0. What is k?\nAnswer: -1629\/64, 0, 10\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u - 22 = 35. Let g be u*(-15)\/9*114\/10. Calculate the highest common divisor of 133 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5 + 0.8. Let y = j + 0.4. Which is the nearest to 1? (a) y (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + 0*h - 2*h)*(0*h + 3*h + 2*h) - 3 + 0 + 2*h**2 + 0 to w + g*h + r*h**2 and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/((25632\/81)\/178)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2436 and 252?\nAnswer: 7308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 5*w + 6, 2*l - 2*w + 3*w + 12 = 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 + 3074*y**2 - 205652*y + 399024.\nAnswer: -2*(y - 1467)*(y - 68)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2072*c = -2*b - 2068*c + 8, 0 = -3*b - 3*c - 15 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**5\/a)\/((a*a*a**(2\/23))\/a*a))**(24\/11))**(2\/19) assuming a is positive.\nAnswer: a**(192\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 5\/(15\/2). Suppose 2*v - 3*n - 1 = 13, -2*v - n - 2 = 0. Suppose -r - v = -0*r. What is the nearest to 1 in l, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*a - 31*a + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74426391 and 1053?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1e (base 16) to base 2\nAnswer: -11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0928893ml to litres.\nAnswer: 0.0000928893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90 - -95. Suppose -3*m + 7 = z, -v*z + 2*m + 86 - 34 = 0. What is the least common multiple of 100 and z?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/82420?\nAnswer: -3\/82420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 242748091 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 8*l**2 - 9*l + 2. Let p be v(-9). Suppose 3*u - 18 = p*u. Solve 3 = -3*y + u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4 = -16. Let h(s) = 2*s**2 + 7*s + 6. Is h(j) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2 - 4 - 4 + w**2 + 5*w. What is the least common multiple of 5 and d(-7)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**4 + 11*a + 1. Let x(o) = o**4. Let y(t) = d(t) - 3*x(t). Let b(r) be the first derivative of y(r). Find the first derivative of b(v) wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -15*q**4 + 20*q + 200 + 81*q**2 - 185*q**3 - 313*q**2 - 118*q**2 = 0.\nAnswer: -10, -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1483572 divided by -60?\nAnswer: -123631\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 7*o**3\/6 - o**2 + 3*o. Let m be t(1). Let q(v) = v + 6 + 8 - 13. Calculate q(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/10 + (-234)\/(-60) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*(-1 + sqrt(1377) + 3).\nAnswer: 12 + 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*l + 0*l + 3*l)*(-3 + 4 + 1) + 265 - 265 + 76*l)*(2*l - 2*l + 3*l).\nAnswer: 210*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 - 414*o + 414*o.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 226 - 204. Let o = -6.8 + -3.7. Let h = k + o. Round h to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, h: 3, z: 1, x: 2, o: 1}. Give prob of picking 1 h and 1 d.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1832.19 - -1832. What is the closest to -1 in -2\/17, -1, 1\/3, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -1 + 5*c - 4*c - 2 + 5. Let v be i(-1). Solve -v = -2*q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86457 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*w - 184*w + 29040 = 0. What is the greatest common divisor of w and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(6)*1*1).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2780937305.\nAnswer: 5, 31, 1499, 11969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.3? (a) 0.2 (b) -3 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 155572*c**2*g**2 + 2*c*g**2 + 177*c*g - 6*c wrt c?\nAnswer: 311144*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22908706*k**3*y - 2*k**3 - 314944*k**2 + 4 wrt y.\nAnswer: -22908706*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 13. Let q = 1 + l. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/16 and -59\/120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 678475999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4162 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1032430 (base 5) to base 6\nAnswer: -214413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15248 + 15193 + 2*y - 30277)*((0 + 2*y - 1 - 1)*(-2*y - y + y) - y**2 - 2*y**2 + y**2).\nAnswer: -12*y**3 - 976*y**2 + 656*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -39, -16, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/4)\/(o**(-4)\/o))\/(o\/((o\/((o\/o**0)\/o))\/o))**16 assuming o is positive.\nAnswer: o**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000708851489 rounded to seven decimal places?\nAnswer: -0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -660*a + 660*a - 2*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18 - 0)*8\/12. Let z be ((-6848)\/r - -4)*600. Round z to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2524, 5197, 7858, 10507?\n\"Answer: -6*u**2 + 2691*u - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.88 + 0.12. Let n = 33 - 37. Let y be (-11)\/8 + 5\/5. Put n, y, v in increasing order.\nAnswer: n, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 61*b + 886. Let y be c(-24). Let x(s) = -9*s - 4. Determine x(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 4 + 0)*(-32*q - 3 + 3)*(-20 + 26 - 11)*(q - q - 2*q) as b*q**2 + c*q + p and give b.\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 - 1. Suppose 3*f - f = 6. Which is the second biggest value? (a) 2 (b) p (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -2, 145115, 1, -1 in ascending order.\nAnswer: -14, -2, -1, 1, 145115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11806946 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2793, 5874, 8871, 11784?\n\"Answer: -42*h**2 + 3207*h - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 102*c + 560. What is d(-96)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17*1\/4 + -4. What is the nearest to 0.2 in y, -3, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.255 - -1.355. Put h, -2, -7, -1\/6 in ascending order.\nAnswer: -7, -2, -1\/6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 1002*s**2 + 993*s + 1998.\nAnswer: 3*(s - 333)*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -8.91248.\nAnswer: -13.91248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6 + 487 = 0. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 69*z**3 - 5*z**2 - 15*z + 1581. Let f(q) = -34*q**3 + 3*q**2 + 9*q - 791. Let s(t) = -5*f(t) - 3*y(t). What is the derivative of s(c) wrt c?\nAnswer: -111*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 9 - 215 = -2*t, 0 = 3*t + 4*s - 239. What is the remainder when t is divided by 40?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 916*z - 386*z + 1174*z to the form l*z + c and give l.\nAnswer: 1704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62135 * -0.4.\nAnswer: -24854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 3830.693126565.\nAnswer: 3830.493126565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1770 - -1775. Let n be 2\/(-4) + 6\/(-4). Let i(f) = f**3 + 2*f**2 + 5*f + 2. Let m(x) = 2*x + 1 - x**2 - x**2 + 3*x**2. Calculate l*m(w) + n*i(w).\nAnswer: -2*w**3 + w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82816207.\nAnswer: 82816207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 176*m**3 + 4*m**2 - 4*m - 229. Let y(g) = 176*g**3 + 5*g**2 - 5*g - 231. Let a(c) = -5*q(c) + 4*y(c). What is the derivative of a(i) wrt i?\nAnswer: -528*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9512684 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 9. Let w be (-260)\/(-35) + -2 + -5. Sort 2, j, 0.2, w.\nAnswer: 0.2, w, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 478*v - 845.\nAnswer: 478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u + 2*u - 8*u + 14*u - 32 as g + c*u and give g.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m*q**2*s**3 - 2*m*q**2*s**2 - 11884*m*q**2 - 10*m*q*s**3 - 3*m*s**2 - 220*q*s**3 wrt s?\nAnswer: 6*m*q**2 - 60*m*q - 1320*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(39)\/sqrt(3) + 3 + -3*sqrt(1053).\nAnswer: -26*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/67, -2, -0.5, 2\/19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 1060718.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -966 divided by -19540\nAnswer: 483\/9770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 4*((-4)\/9 + 511\/36).\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + 1. Let g = 22.68 + -22.48. Which is the smallest value? (a) -2 (b) g (c) l (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((0 + -3 - -4) + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 89*c**7\/105 + c**6\/30 + 1681*c**3\/6 + 6307*c**2. Differentiate y(a) wrt a.\nAnswer: 712*a**3 + 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40692397?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57425337*r - 5596*r**3 + 15966 + 57425337*r with respect to r.\nAnswer: -16788*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534736 is divided by 238.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*m - 5*c - 16, 0 = 3*c + 6. Sort m, 3, 0 in decreasing order.\nAnswer: m, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjjjkam. Give prob of sequence jva.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-36) - (-1190)\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-0.7986\nAnswer: -1.5972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -19690485 and -14.\nAnswer: -19690499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -57, -245, -553, -975, -1505?\n\"Answer: f**3 - 66*f**2 + 3*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 4*i**2 + 6*i - 3. Suppose -21 = 5*l - o + 6, -2*l = 2*o + 6. Determine h(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.46983 rounded to zero decimal places?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32292\/(-1170)*30\/(-2)*((-5)\/(-1))\/(-15)?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 256915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*x - 253*x = 2*o + 98, -x + 1 = o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -248972378 or -497944755\/2?\nAnswer: -248972378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*p - 69254 = -4*y - 133*p, -4*y = 4*p - 69244. What are the prime factors of y?\nAnswer: 3, 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 2*d**2 - d + 4. Suppose -4*z - 3 = -2*j - 3*z, -3*j + 4*z = 3. Let a be s(j). What are the prime factors of 24\/a*20\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -602554 smaller than -602550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -11) + 6 - (-2 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**3\/6 + 2*v**2 - 11*v. Let b be s(0). Suppose -10*q - b = -12*q. Solve 0 = -q*o + 2 + 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - -5)\/(0 - 1). Suppose -19 = -d - p. What is the highest common divisor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 33 + 23. Let v = r + 43. Suppose 2*s + 7 = 1, 0 = -5*k + 5*s + v. Let t(y) = y + 2. Give t(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*((-2173)\/(-3657))\/41?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 64\/24 + 2\/6. Suppose 2*k - f - 38 = -4*f, -y*k = -5*f - 38. Calculate the highest common divisor of 64 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0 (b) 6 (c) 0.286 (d) 0.26 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7016 (base 8) to base 7.\nAnswer: 13330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -22*i - 42*i - 532 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*v**3 + 2 + 5*v**3 - 14*v**3 - 32*v**2 - 14*v**2 as f*v**2 + i*v**3 + j*v + o and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 - 43. Let g be (-2)\/(-4)*(-3 - -7)*a. Solve m - g = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -460, -645, -830, -1015, -1200?\nAnswer: -1385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b1 - 63d27?\nAnswer: -63c56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 36575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14018 = -32*c + 14402 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2480.27um to centimeters.\nAnswer: 0.248027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*i**2 - 66*i**2 + 45*i**2.\nAnswer: 53*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1710 - -1709.9. Which is bigger: 610 or x?\nAnswer: 610","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(((x\/(x*x*x*x**(2\/3)))\/x)\/x)))\/(x*x**(8\/9)*x*x))\/(x**10\/((x\/x**(-10)*x)\/x)))**(-17) assuming x is positive.\nAnswer: x**(1156\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6705 and 2384?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 4*w = -3*v - 64, -13453881*v + 13453882*v = -6*w - 30 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44520 and 2.\nAnswer: 44520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -1315087445?\nAnswer: -1315087444.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 13 + 14)*(0*w**3 + w**3 + 2*w**3).\nAnswer: 48*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j + 58 = 17*j. Let x = j + 103. Let b(c) = 6*c + 5. What is the remainder when x is divided by b(3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/((21\/6)\/(-7)). Suppose -5*s + r + 98 = 0. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25307 is divided by 1474?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + -5. Let d(l) = -l**3 - 7*l**2 + 18*l + 10. Let o be d(y). Is 12\/(-8)*o\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -307613 divided by 5?\nAnswer: -307613\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245 = 9*d - 44*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 717, -2, -5 in descending order.\nAnswer: 717, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3969276.\nAnswer: 2, 3, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -61*b*j**2 - 46*b*j*k + b - 3*j**2*k + 2*j**2 wrt k?\nAnswer: -46*b*j - 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 29 = 55. Solve d = 3*f + f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2626 is divided by 53?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -i - 9. What is the units digit of 3 - (0\/i + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-1)*2\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 878 or 872?\nAnswer: 872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 + 5*o. Let w be i(-7). Suppose 2*n = w + 484. Suppose 53 = p + v, -2*v - 39 + n = 5*p. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70ca (base 14) to base 16.\nAnswer: 4bba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1757270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011111001110001000 (base 2) to base 8.\nAnswer: 1371610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 465531 and 1617?\nAnswer: 22811019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7\/127 + -54503\/1002665. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 2. Suppose -4*m + 0*q + 3*q + j = 0, -2*m - q + 17 = 0. Let f be (-7 - (17 + -34)) + -10. Solve f = -3*d + m*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 - -67. Sort -7, s, -1, -4.\nAnswer: -7, -4, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w\/((w*w\/((w\/w**(-26))\/w)*w)\/w))*w*w)**(-37))**(1\/6) assuming w is positive.\nAnswer: w**(259\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 78094 = -12724. List the prime factors of f.\nAnswer: 2, 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 4. What is the remainder when 8 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -108 (c) -2\/5 (d) 12\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/102 and -16\/15.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -20, -53, -108, -191?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 43\/2 of a decade?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 14 = -10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 65*g - 2. Let c(h) = 127*h - 4. What is 3*c(k) - 5*n(k)?\nAnswer: 56*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**3 - 425*j**2 - 25205*j + 25625 = 0.\nAnswer: -41, 1, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3407904.\nAnswer: 2, 3, 11833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y. Let q(b) be the second derivative of 11*b**6\/720 + 5*b**4\/2 - b**3\/3 - 134*b. Let l(t) be the third derivative of q(t). Calculate l(m(r)).\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 306.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1221001 (base 3) to base 15\nAnswer: -63a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = -38*p + 40*p. Let i(f) = f**3 - 5*f**2 + 11*f - 15. Let c be i(6). Is p less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -3) + (0 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - 0.3. Let v = -579 - -574. What is the second smallest value in v, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134.6 - -10.494105.\nAnswer: -124.105895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*c - 353 + 518 = -352 - 4257 for c.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 0 - 1\/240*h**5 - 3*h + h**2 + 1\/96*h**4 + 0*h**3. Let v(r) be the first derivative of m(r). Factor v(f).\nAnswer: -f*(f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(11\/4)*k)\/k**(-12) assuming k is positive.\nAnswer: k**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40077 is divided by 25560.\nAnswer: 14517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 32 = -4*z, j - 31*z = -35*z + 16. Solve 0 = -3*q - 5*l - 39, j*q - 13*l + 11*l = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -370229400 by 3996.\nAnswer: -92650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 + 66*n - 61. Let a be k(32). Let f(b) = 4*b**3 - 2*b**2 + 5*b. Let r be f(a). Calculate the highest common divisor of 45 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 395 and 237.\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m + 103 = -99 - 98 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/577185 and 41\/805.\nAnswer: 577185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-81)\/(-6))\/(-9)*2\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 8:05 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 56913.18l in millilitres?\nAnswer: 56913180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -9*n - 18. Let v be s(-8). Calculate the highest common divisor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10674)\/333 - 20\/35*(-21)\/222?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7155 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: Solve 427*s - 2247 = 315 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/4 - -3)*-28. Solve -104*n**3 - j*n**5 - 66*n**2 - 185*n**4 + 109*n**4 - 2 - 3*n - 16*n = 0 for n.\nAnswer: -1, -1\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*(-10)\/(-140)*(-28)\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 10 = -5*b + 2*s + 40, 2*b - 1040 = -5*s + 19*s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 10:44 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44*n + 9*n + 29*n)*(-1 - 4 + 3) in the form o + q*n and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - p - 4*j + 106 = 0, 2*j + 241 = -5*p. Let y = 61 + p. Which is smaller: y or 13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3034 - -2202421?\nAnswer: 2211010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7ee67 (base 16) to base 4.\nAnswer: -1332321213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001000110 - 0?\nAnswer: -1011001000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4417 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert ac96c (base 13) to base 2.\nAnswer: 1001100100011110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3052 is divided by 361?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33992 is divided by 971.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 0 (c) 20\/27 (d) -2\/11 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-162)*32*-59*(-19)\/17936?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 + 6*w**3 + 0*w**2 + (-2 - 3 + 4)*(-4*w + 4*w - w**3) - 3 + 3 + 2*w**3 + 0*w + 2*w**3 + 0*w.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13609, -53644, -120375, -213808, -333949?\n\"Answer: -g**3 - 13342*g**2 - 2*g - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 5583?\nAnswer: 5580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 34 = -391. Let c = -71 - o. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41922467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16719\/8 + 2090. Sort 3, -0.7, g in ascending order.\nAnswer: -0.7, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i - 1. Let y = -3 - -6. Let f be k(y). Solve -4*z + 3 = -2*a + f, -2*a + 2*z = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*r + 6761 = 3*r, -5078 = -3*n + 5*r. Suppose -n = -3*x + 487. Find the common denominator of -43\/14 and x\/100*25\/30.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 5*h**2 + 14*h + 15. Let g be z(-5). Suppose g*l - 1967000 = 202*l. Round l to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5a (base 15) to base 14\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6 + 100\/15. Let p = n + -3. Find the third derivative of 3*h**2 - 7*h**2 + 3*h**6 + 2*h**2 + p*h**6 wrt h.\nAnswer: 720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-183)\/9)\/((-315)\/(-27) - 12) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 0 (c) 2\/7 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12602929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 14 - 30 = 0. Let w = 5337\/5 - 1067. Which is the closest to 0? (a) w (b) -3 (c) p (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 24*l**2 + 7*l - 34. Let q be (-3)\/2*40\/12. Let f(j) = -16*j**2 - 5*j + 23. Let b(y) = q*a(y) - 7*f(y). What is the derivative of b(g) wrt g?\nAnswer: -16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2053305.\nAnswer: 3, 5, 103, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 41?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 2*z + 2*h + 8, -4*z + 8 = 4*h. Is z at least -11\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**2\/2 - 802*z - 1603\/2 = 0.\nAnswer: -1603, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nrrfrbrg. What is prob of sequence gfnb?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/((r**(1\/11)\/r)\/r)*r)*r*r*r**(-17))**39 assuming r is positive.\nAnswer: r**(-7683\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 396313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*((i**(-10)*i)\/i)\/i))\/i)**(2\/39)*(i**(1\/4))**(-3\/4) assuming i is positive.\nAnswer: i**(203\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 2582311 and 57.\nAnswer: 2582368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*t + 45. Calculate the greatest common divisor of t and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*q = 76*q. Suppose -3*l + 19 - 4 = q. Which is the nearest to 0? (a) -18 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, g: 8, c: 3, v: 2, o: 1, i: 1}. What is prob of sequence cpcc?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllnlllnll. What is prob of sequence nlln?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(384)*6)\/((1*3*sqrt(96))\/sqrt(8)).\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1076 + 1203 = 127*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 27. What is l(-28)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -2*y + 6, 5*y + 38*b - 28 = 35*b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/(189\/(-112))*(-85)\/(-680). Solve -1\/4*f**x + 0 + 1\/2*f = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**4\/18 - 4*i**3\/27 + 65*i**2\/9 - 100*i\/3 - 946. Factor b(w).\nAnswer: -2*(w - 5)*(w - 3)*(w + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 20. Let h be o(-17). Let j be 104\/5 - (-2)\/10. Calculate the greatest common divisor of h and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n + n + 0*n)*(-2 + n**2 + 2 + (0*n**2 + 4*n**2 - 3*n**2)*(3 + 4 - 5)) to the form c + f*n**3 + i*n**2 + l*n and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 157\/11 - 449\/33. Let m = 6 + -2. What is the nearest to c in m, 0, -0.1, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(128) - (-4*sqrt(128) + 0))**2*-2*4 + 2)*4.\nAnswer: -511960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 86*f**3\/3 + 9*f**2\/2 + 3*f. Let x = -56 + 63. Is a(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2145284.\nAnswer: 2, 41, 103, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d + 7. Let z be q(-12). Let o = z - -70. Let y be (o\/5 - 1)\/(1 + -2). Put y, -1, -3 in decreasing order.\nAnswer: y, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -447 + -793. Find the common denominator of ((-14)\/(-3))\/(q\/1581) and 99\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1782)\/(-55) + 2\/(-5). Let d be -3*(1 - i\/12). Which is the nearest to 0.3? (a) 1\/5 (b) -1\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1381230089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 17 = 4*d + 5*j, 5*j + 19 = -3*d. Suppose -q + 10 = q. Let w be (q + 1)*1\/2. Solve 5*f - 5 = -w*v, f - d*v - 5 + 4 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 109 = 787. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -12*n - 8. Let s(g) = g + 1. Let o(u) = -2*r(u) - 18*s(u). Let q be o(-3). Is ((-8)\/5)\/(2\/q) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 2.8 (c) -9 (d) 4\/297 (e) -17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1174 or 115162?\nAnswer: 115162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 676 a factor of 2892060496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m - 2. Let b(i) = 5 - 3 - 1 + 2 + i. Let k(f) = -2*b(f) - 3*q(f). Let j(s) = -7*s**2. Determine j(k(w)).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 6) to base 15.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 8. Let k = s + 0.85. Round k to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96 by -154.\nAnswer: -48\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a millimeter in micrometers?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 523, 525, 529, 535, 543?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -3.1480761.\nAnswer: 3.2480761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 159*l - 160*l - 4*c, 15 = -l - 3*c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**9)\/m)**(-24)*m**(3\/8)\/((m**(-3)*m)\/m) assuming m is positive.\nAnswer: m**(-1701\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 272 = -67*b, 2*z + 24 = -102*b + 98*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*o + 3 + (17*o + 18*o - o)*(-11 + 1 - 8).\nAnswer: -610*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.1, 0.18, -2\/21?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1584) - (2*sqrt(1584))**2).\nAnswer: -6338 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((24 - 24 + 20*j)*(j - j - j) - 6*j**2 - j**2 + j**2)*(-1 - 3*j - 3*j + 9*j) to the form m*j**2 + c*j + a*j**3 + d and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -331163710.\nAnswer: -331163709.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-5) + 34\/10. Suppose -2*l = l + 9. Let v be l\/(k\/3*-1). Which is the second smallest value? (a) 2\/7 (b) v (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 6. Let l be i(5). Which is greater: 2\/123 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -5*j - 12. Solve 0 = j*y + 2 + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, r: 2, v: 2, l: 1}. What is prob of sequence rz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from mzx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 2:59 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -1530*y + 1526*y + 108, -4*g + 60 = 2*y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23.1 - -146.1. Let l = -83 - t. Let q = l + 205.9621. What is q rounded to 3 decimal places?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453415723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37006309555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2199*h + 75763. Give b(34).\nAnswer: 997","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 10:45 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 52382, 161756, 344046, 599252?\n\"Answer: 36458*h**2 + 15924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 20. What is the units digit of 60\/18*(-33)\/w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*t = t + 161, 5*y = 3*t + 813. What is the greatest common divisor of 33 and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c. Let q(f) = f**3 - 38*f - 1. What is -6*j(n) + q(n)?\nAnswer: n**3 - 44*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.71 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 12:01 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23\/27 + 127\/54. What is the closest to 1\/8 in 2\/15, -3, q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/1610)\/(-5*(-2)\/(-30)).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -465.303 to the nearest ten.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**5 - 160*g**3 + 509*g**2 wrt g?\nAnswer: -60*g**2 - 960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 16488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times -3.82806?\nAnswer: -0.1148418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 9*m + 10. Let k = 6 - 15. Let s be i(k). Suppose 8 = 2*r + 2*r + 3*z, 5*r - z = s. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69097772599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*c - d, 4*d = 5*d + 1. Let b = -14\/935 + 19864\/2805. Let r = b - 36\/5. Is r greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -761*t + 748*t + 2*s + 69 + 208, -4*t = -2*s - 88 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 3) to base 6\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**2 + i + 1. Let u be h(-1). Suppose -3*f - 11 = -r + 3*r, 0 = -5*r + 10. Put 4, f, 1, u in decreasing order.\nAnswer: u, 4, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170433 divided by 360?\nAnswer: 18937\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y. Suppose 5*s + f = -3*f + 250, -174 = -4*s + 2*f. Let c(n) = -s*n + 13*n + 19*n + 19*n. Give o(c(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 161980116 divided by -2?\nAnswer: -80990058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/79721 + 4073822815\/478326. Let r = -8496 + l. Let u = 4563\/2 - 2240. Calculate the common denominator of r and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000111010 (base 2) in base 8?\nAnswer: -5072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2766 + 33071\/12. Find the common denominator of -17\/20 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -717*d**3*g + 7*d**3*n - 2*d*g*n**2 + 2*g*n**2 wrt n.\nAnswer: 7*d**3 - 4*d*g*n + 4*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8965 + -532?\nAnswer: -9497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 903305 and 3835.\nAnswer: 53294995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and 95.6449.\nAnswer: 0.956449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 580339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -303403410 (base 5) in base 7?\nAnswer: -13320023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3677 is divided by 1205.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 4\/(-3))\/((-28)\/(-42)). Sort i, 0, 4.\nAnswer: i, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 0 + 1 - 1735390*y**2 + 2*y - 3264609*y**2. Let z be -1 + -1 + -3 - -4. Let f be x(z). Round f to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 - 131*v - 121*v + 263*v + 5 - v**2 to n*v + r + h*v**2 + q*v**3 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267387244?\nAnswer: 2, 43, 131, 11867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76804 and 1688?\nAnswer: 153608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((1080\/3654)\/(-10))\/(-1*7\/(-49))\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 7, d: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03715 - -0.06285. Let v be (-16)\/(-6) - 4\/6. Suppose -6 = q + 4*n + 18, 4*q = -n - 21. What is the closest to q in s, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*t + 4*t - 3*v, -2*t + 4*v + 8 = 0. Let x be (t + 12)\/(6\/(-4)). Let s be 4\/(-10) - x\/10. Solve s = -3*l - l - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2787363587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -69 (base 11) to base 15\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 6 + 15*h + 6.\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 507813 (base 11) to base 5\nAnswer: 202044204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/32 and -17\/648?\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*v + 33, 5*v + 3*a - 1 = 6*v. Solve s + 4*m - v*m - 6 = 0, 10 = -5*s - 3*m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -32a0 - -14c3?\nAnswer: -1aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2890 and 1.2.\nAnswer: 2891.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/2103060 and 67\/12618360.\nAnswer: 12618360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**4\/24 + t**3\/6 - 17*t**2. What is j(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 6*k = 18. Let s be 2\/k - (-232)\/72. Suppose -200 = -5*v - 3*n - 50, 0 = s*v + 3*n - 96. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322 = 4*h - 40*h - 10*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.11 - 0.1. Let t(g) = g**3 + 7*g**2 - 17*g + 11. Let v be t(-9). Let s = -225 + 3377\/15. What is the second biggest value in v, s, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1235 and (10\/3)\/(102\/7956)?\nAnswer: 4940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000023657874 to 7 dps.\nAnswer: -0.0000237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**3 + 780*v**2 + 31968*v = 0.\nAnswer: -36, 0, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*q**4 - 95\/3*q**3 - 193\/3*q**2 + 0 - 97\/3*q.\nAnswer: q*(q - 97)*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1008, 993, 946, 849, 684, 433, 78?\n\"Answer: -3*x**3 + 2*x**2 + 1009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*g**3 + 24*g**3 + 3*g**3)*(-4*g**2 - 3 + 3) + 7*g - 18*g + 13*g - 2*g**4 - 8*g**5.\nAnswer: -68*g**5 - 2*g**4 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4144810843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113481.\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -555, -1814, -4161, -7800, -12935, -19770, -28509?\n\"Answer: -34*i**3 - 340*i**2 - i - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2\/9, 2, -950.8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-57)\/6) + (-1740)\/76)*1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*y - 22, 2*y + 5*g - 21 = -2*y. Suppose 0 = y*n - 9*n. Solve -15 = 5*v + 3*q - 5*q, v - 3*q - 10 = n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 + 22 = -j - 3*a, 4*a = -4*j + 1952. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/9)\/(841\/1682)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 less than or equal to 477720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 57\/4. Let y = 53 + -52. Which is the closest to 0.1? (a) u (b) -1\/6 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.2 (b) -11457 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 721*a**9\/36 - 853*a**5\/5 - 4*a**2 - 10*a + 18. Find the third derivative of p(r) wrt r.\nAnswer: 1211280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2975 is divided by 199?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 4*d - 218, 5*x - 6*x + 52 = -2*d. What is the closest to 3 in x, 5\/2, 0, -0.5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53.53, 2.1, 0.0708, -2\/9 in increasing order.\nAnswer: -2\/9, 0.0708, 2.1, 53.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82363 = -3*i - 4*h, 37009 = i + 5*h + 9573. List the prime factors of i.\nAnswer: 7, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -483*a**2 + 1076*a**2 - 595*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0 (c) -0.6 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 467 + -438. What is the remainder when 111 is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-15)*(-90)\/1944.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**3 - 3*b**2 - 12*b - 30. What is q(6)?\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**2 - 15*u + 1390*u**3 + 3*u - 19 - 1484*u**3. Is o(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g - 44514 = -14*g. Is (-2)\/(6\/g*3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*j = -10, -4*x - j + 14 = 4*j. Suppose -x*v + 30 = 4*c - 4*v, 5*c = v + 34. Suppose -6*q + c*q = 15. Solve g = -2*g + q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - sqrt(528)*2)\/(sqrt(147)*2 - sqrt(147)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -494184 (base 11) to base 14.\nAnswer: -164b42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 16) to base 12.\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 9953 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.7 - 48462857.\nAnswer: -48462876.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 d when three letters picked without replacement from ddpd?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 178372 and 266.\nAnswer: 1248604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + (1 - 3))*(-6)\/12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208684211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 131 (base 5) to base 13\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -1 + 8 - ((-55 - -12) + 3)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.44 + -0.85. Let o = x + -7.59. Put o, -0.2, 4, 0 in decreasing order.\nAnswer: 4, 0, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 15*a**2 + a - 3. Let q be c(3). Suppose 5*i - q = -2*p, -4*i - p - 150 = -9*i. Let h = -20 + i. What is the remainder when 26 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*f - 189*f**3 - 23*f + 14*f + 2*f**2 as o + r*f**3 + t*f**2 + v*f and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 410 - 242. What is the highest common factor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 16. What is s(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*q - 1970 = -3426 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*o - 4981 = -208*o - 985 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2744*s - 51143 = -989*s + 115255 + 57582 for s.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*((-10)\/5 - -3) + 622 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 55678860.6 and -1.6.\nAnswer: 55678859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, f: 1, x: 1, u: 1, a: 1}. Give prob of picking 1 x and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -31*q**3 + 376*q**2 - 55*q + 25. Calculate p(12).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/8 + (-1 - -3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -61*u. Let b(t) = -33331*t - 2. Give f(b(p)).\nAnswer: 2033191*p + 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*b = -535 - 940. Solve b = 5*o + 5*n, 0 = 2*o - 6*o + 2*n + 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 466 and -0.4.\nAnswer: -186.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -106239 divided by 31\nAnswer: -106239\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15 * -26102.\nAnswer: 3915.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/90 and 29\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 - 2 + 1 - 3*v**2 - 4*v - 2 to the form x*v + n*v**2 + h and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**3\/5 + 16*m**2\/5 - 16*m\/5 - 64\/5 = 0. What is m?\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/((-32)\/(-10) + 38544\/(-10560))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 9*q**3 - 161*q**2 + 683*q + 226. Determine b(10).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 419342 + 2525838 = 294*d - 255304. List the prime factors of d.\nAnswer: 2, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.097, 2\/3, 0.55134?\nAnswer: 0.55134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -277 + 277. Let z(f) be the third derivative of -1\/945*f**7 - 1\/108*f**4 + m*f**3 + 3*f**2 + 1\/270*f**5 + 1\/540*f**6 + 0 + 0*f. Factor z(j).\nAnswer: -2*j*(j - 1)**2*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(72) - (sqrt(72) + sqrt(72) + (sqrt(72) - sqrt(72)*-4))*5)\/(sqrt(256) - (sqrt(256) - sqrt(256)*-2)).\nAnswer: -51*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 11:53 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134 + 333 = 6*y - 3*r - 152, 5*y + 4*r = 273 for y.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4841259 and 2142150?\nAnswer: 242062950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -26*v**2\/5 + 692*v\/5 - 688 = 0.\nAnswer: 86\/13, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -92*c - 154. Let o be f(4). Let y = -411 - o. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4258*g - 187358. Calculate o(-44).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 1244\/24 + (-22)\/(-132)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177, 226, 275, 324, 373, 422?\nAnswer: 471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = c - 125, -6*c + 7*c - 5*i = 134. Let a = c - 111. What is the remainder when 126 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*31\/(837\/(-297)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20136331 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**5 - 7496*u**4 + 183612*u**3 + 2669456*u**2 + 8855632*u + 6377280 = 0. Calculate u.\nAnswer: -1898, -6, -4, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38058, -84127, -130196?\nAnswer: -176265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 206 - 205.6275. Let k = 3245 - 3245.35. Let i = k + j. Round i to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*j - 4*j**2 + 1 + 3392*j**4 - 3388*j**4 - 181*j**3 + 183*j**3 to d*j**3 + r + m*j**4 + v*j**2 + i*j and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 2*b**2 + 14*b + 103. Calculate q(7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 147*s**2 + 10*s - 1480. Let v be z(147). Put 16, v, -9 in descending order.\nAnswer: 16, -9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(6)*1*5)\/(sqrt(2) - 1*sqrt(200) - -4*sqrt(8)\/sqrt(4)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 6*u**2 - 2*u + 4. Let b be y(-3). Let l = b - 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7854 divided by -22?\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*3*2 + 5 + 3)**2.\nAnswer: 384*sqrt(17) + 9856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -98.09899 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/12*(-12)\/9. Let t = -10\/143 + -409\/286. What is the nearest to 2\/13 in t, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**3 + 12*f**2 + 13*f + 1. Determine z(-4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 8:52 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/78331 - -27774\/27807505. Find the common denominator of t and 49\/33.\nAnswer: 11715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 + 76 = -3*d - r, -4*r + 82 = -d. Let i = d + 71. What is the third derivative of 3*w**2 + 3*w**5 + w**4 - w**4 - 22*w**i wrt w?\nAnswer: -1140*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1413 - -1492 - (0 + -6).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -10*j - 5*t + 9, -2*t = -j - 14. What are the prime factors of 136 + (12\/j)\/3 - 2?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/83539844 and -71\/5436.\nAnswer: 751858596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-3 + 2) - (101 + -47 - 43 - 19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 264ba (base 15) to base 7.\nAnswer: 1020235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-40)\/(-18)*-6. Suppose -2*t + q = -4*h, -2*t - 5*h = -0*t - 58. What is the units digit of (54\/(-8))\/((-9)\/t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46881001 to the nearest integer?\nAnswer: 6847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348367 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 218.12 + -218. Let m = i + -0.120472. Round m to 5 dps.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 456 = 4764. Let j = o - -1849. What is the highest common factor of j and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 216959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5702 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.13 and 8.\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 256 - 255. Let t be (-1 - z)\/((-16)\/40). Sort t, -2, 0, -7 in descending order.\nAnswer: t, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 186\/1961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 146376 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8711533.\nAnswer: 8711533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 660619378 to the nearest integer?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 0.4, 1410, 3, -5, -0.5 in increasing order.\nAnswer: -5, -3\/2, -0.5, 0.4, 3, 1410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -4*d**3\/3 - d**2 - d - 6. Let x be n(-1). Let o be 1 + ((-10)\/7)\/2. What is the second smallest value in x, o, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 7 = -v. Let o be -2 + (-3)\/1 + v. Let x(c) = c**2 + 7*c + 8. Let z be x(o). Solve 0 = -5*r + z*r - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(192) + 1)*-6.\nAnswer: -48*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 8*m. Let d = 351606\/2227 - -23\/131. Let u = -158 + d. Which is smaller: u or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 4*p**2 + 2*p - 5. Calculate the remainder when 89 is divided by b(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - -103) + (-1 - 3). Suppose 3*h - p = h. What is h rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, -5, 1, 267, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h**(4\/11)*h)*h**(-6\/7)*h)\/(h*h*h\/(h\/((h\/(h*h\/(h*h**(-24))))\/h))*h**(-39)))**(-3) assuming h is positive.\nAnswer: h**(-13809\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**5 - 28530*k**4 + 28523*k**3 + 171178*k**2 - 114108*k - 228232 = 0 for k.\nAnswer: -2, -1, 2, 28529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58033 divided by 60.\nAnswer: 58033\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*m = 594, 0 = 2*l - 4*m + 3*m - 234. What is the remainder when l is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiikkikitzikikkkikk. Give prob of picking 1 t and 1 i.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(sqrt(20)\/sqrt(5)) - (0 + sqrt(19)*1 + sqrt(19))) + -1.\nAnswer: -sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -41*d + 47 + 46 + 52 + 35*d. Let w be o(22). Solve 3*p = -9*c + 4*c + w, 2*c - 2 = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 2*d**2 + 2*d - 2. Let m(n) = -n**3 + n**2 + 2*n - 3. What is 2*m(k) - 3*x(k)?\nAnswer: k**3 - 4*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19766313 - -13916313. What is z rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.47834 - 2.47834. Let w = 0.7 - -0.3. Suppose 5*y = -v + 3, -y - 5*v + 8 + 7 = 0. Which is the nearest to n? (a) -0.4 (b) y (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -24) + -12 + (-1 + 0 - -34).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91213458, 91213460, 91213462?\nAnswer: 91213464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7893*n**3*o**2 - 50*n**3*o - n**2*o**2 + 2*n**2*o + 19618*n*o**2 wrt n.\nAnswer: -47358*o**2 - 300*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 1:37 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*c**4*j**2 - 2*c**4 + 323*j**2 - 2*j wrt c.\nAnswer: 32*c**3*j**2 - 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a decade in months?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -40308520.5 to the nearest ten thousand.\nAnswer: -40310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1845900 and 3322620.\nAnswer: 16613100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7191.\nAnswer: 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**13*r*r**0 assuming r is positive.\nAnswer: r**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-21)*6 + 523\/7. Let s be ((-1)\/6)\/(h\/100). Which is smaller: s or 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 8 = -2*q + 2*c, -q - 1 = -3*c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - 22. Let k = 23 - a. Suppose -4*n = -65 - 67. What is the remainder when k is divided by n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 833884254 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(320) + (sqrt(320) + 3)**2 - ((sqrt(320) + 1)**2 + -2 - sqrt(320)) - -4*(2*(sqrt(320) + 1 + sqrt(320)) - (-3*(0 + sqrt(320)))**2).\nAnswer: -11501 + 176*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -35, -56, -75, -86?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000214691486 to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 2.5. Let c = -8\/15 + 6\/5. Let k = -0.01 + -0.39. What is the second smallest value in a, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00024778 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13, -407, -1179, -2329, -3857, -5763?\n\"Answer: -189*k**2 + 173*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/18)\/((-35)\/21)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/7 - 123*z\/7.\nAnswer: z*(z - 123)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.045 and -0.113.\nAnswer: -0.005085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5578081192 rounded to the nearest one million?\nAnswer: -5578000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/7)\/((256\/28)\/8)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-204)\/(-663)*(11571\/11298 - 1).\nAnswer: 2\/269","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 67*k - 14 = -69*k, -2*k = -8. Let l(t) = 5*t + 1. Let w(i) = -i - 1. Let z(x) = -l(x) - 2*w(x). Calculate z(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -12. Let i be (-3)\/(-2)*((-39)\/(-9) - -1). What is the greatest common divisor of v and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 6*v**2 - 3*v + 7. Let j be u(5). Suppose -j + 87 = -5*s. Let d = s - -19. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -261460.5?\nAnswer: -261465.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 1381442787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9253 * -1760.\nAnswer: 16285280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-148)\/3*87\/(-58).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**7\/1050 + l**6\/600 - l**5\/150 + l**2 - 29*l - 14. Let j(g) be the second derivative of r(g). Suppose j(m) = 0. What is m?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 30*x**2 - 20*x - 11. What is the remainder when 281 is divided by c(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 8\/(-8)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 813.31302 and 0.1.\nAnswer: 81.331302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -69*c - 2140. What is z(-30)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 15*k - 20*k. Solve 0 - k = -3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.9999378 - 4. What is w rounded to 6 decimal places?\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1836852, -1836522, -1836192, -1835862, -1835532?\nAnswer: -1835202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*f - 3*f + 35 = 0, -3*g - 3 = -3*f. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/20*(-56)\/(-6) + -5 + -4 + 41?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -132, -2, 142, 306, 496, 718?\n\"Answer: p**3 + p**2 + 120*p - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 9:33 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*l**3 + 101*l**3 - 193*l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 10*a**4 - 1205*a**3 + 595*a**2 + 600*a = 0.\nAnswer: -1\/2, 0, 1, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231222200000 (base 4) to base 13.\nAnswer: -2631794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 22*q**2 + 5*q - 1. Let g(l) = l**3 - 27*l**2 + 4*l - 2. Let o(z) = 6*g(z) - 7*k(z). Give o(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -270.826 + 271. Which is greater: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 7. Suppose i*l - 757 = -103. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36487835 is divided by 84.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 11028?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -4 - (-3)\/1. Let y(a) = -21*a - k + 184*a**2 + 211*a**2 + 19*a. Is y(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22532 + 22161.17. Round u to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 54*h**2 + 119*h - 387. Let t be s(56). Sort 4, 3, -6, t, 10 in increasing order.\nAnswer: -6, 3, 4, t, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/164 and -41\/2212.\nAnswer: 90692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-35)\/7)\/(-5))\/(2\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2. Let i(d) = 48*d - 1. What is 2*h(y) - i(y)?\nAnswer: -48*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 5*g + 14 - 4 = 0, 2*g = -4*z + 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 - 2.06. Let j = -0.1 - 0. Which is the smallest value? (a) 0.3 (b) h (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -16. Let q be h*(-8)\/3 - 4. Let s be 4\/q*(-9)\/(-3). Which is the second smallest value? (a) 5 (b) s (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9950424 divided by 226146?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**5\/30 + o**4\/4 - 2*o**3\/3 - 2*o**2. Let a be v(6). Let x be (-66)\/(-77)*42\/9. Put -1, x, a in descending order.\nAnswer: x, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 98879, 197633, 296099, 394133, 491591, 588329?\n\"Answer: -24*n**3 + 98922*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.31971, -2\/3, 3?\nAnswer: -0.31971","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 3*x - x. Calculate the remainder when x is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**3\/3 - 8764*d**2\/3 + 247744*d\/3 - 1739696\/3 = 0. What is d?\nAnswer: -2219, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 297.2 - 301. What is the nearest to -1 in -5, -1\/3, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -266858, -1.4, -4\/5 in descending order.\nAnswer: -4\/5, -1.4, -266858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-7 - -25)\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147108.\nAnswer: 2, 3, 13, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - 3. What is the tens digit of (-309)\/(-9) + 2\/v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by (49\/(-21))\/((-6)\/72).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcpkwpw. What is prob of sequence cp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 1026.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p + p)*(3*p**2 + 3*p**2 - 4*p**2 + (-4*p - 3*p + 6*p)*(0 + 0 + p)).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.1939 - 11.2. What is z rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 7*g + 7. Suppose -3 = -5*j - 3*y, 7 = j - 3*y + 2*y. Let o be n(j). Factor 4*f**5 - 24*f**3 + 8*f**3 + 12*f**3 + 4*f**4 - o*f**2.\nAnswer: 4*f**2*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18\/77 - 1\/11. Let z = 48 + -48.3. Let s(p) = -p**3 - 2*p**2 - p - 1. Let n be s(-1). What is the nearest to n in g, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 260 and 9516?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckcktcckcctc. What is prob of sequence cckc?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*y + 71299 = 7*y. Is 1927 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 23025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012120878154 rounded to six decimal places?\nAnswer: -0.001212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*q - 42272 + 41999 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-125 - 40 - v - 91)*(1 + v**2 - 1).\nAnswer: -v**3 - 256*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1315 divide 623036480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -299\/3 - -100. Let t = -4 + 1.1. Let u = -3 - t. Which is the closest to n? (a) 2\/13 (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 18*q**2 + q. Let n = 53 + -52. Calculate j(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 2, d: 2}. What is prob of sequence qd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0376986, -0.5, -4 in decreasing order.\nAnswer: -0.0376986, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(2))\/sqrt(5) - (sqrt(567) + sqrt(567)*-2)**2.\nAnswer: -567 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 8*w**3 + 3*w - 2. Let a(j) be the third derivative of j**6\/15 + j**4\/12 - j**3\/6 + j**2. Let b(k) = -3*a(k) + 2*n(k). Let s = 15 - 16. What is b(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - -3 - (-38 - -35)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 41*p + 8. Let c(v) = 20*v + 4. Let y(g) = -7*c(g) + 3*t(g). What are the prime factors of y(-2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*x = 2*f - 52, 0 = -4*f + 4*x + 24. Suppose -4*b + 2 = f. Let p(j) = -j**2 - 4*j - 1. Let d be p(-4). Sort d, -3, 1, b in increasing order.\nAnswer: -3, b, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4 - 4 - 26*d.\nAnswer: -26*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52454981.\nAnswer: 97, 540773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 71.736.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 43 = 33 + 25. Solve c + m*g - 19 = -0*c, 3 = g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + (sqrt(170) - (sqrt(170) + (1*sqrt(170) - sqrt(170))*4 + sqrt(170)) - sqrt(170)))\/(-1*-1*sqrt(10) + sqrt(10)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - b - 8, -4*c + 4 = 3*b. Find the second derivative of -85*j**4 + 48*j - 39*j**4 + 91*j**c wrt j.\nAnswer: -396*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048743 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(896) - -3*sqrt(686))\/(sqrt(567)*2 + sqrt(567) + sqrt(7) - (sqrt(7) + (sqrt(7) + sqrt(42)\/(sqrt(12)\/sqrt(2)) + sqrt(7) - sqrt(7)))).\nAnswer: 53*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(-3 + 3 - n) - 2*n + 0*n + n - 3*n - n + 5*n + 0*n + n + n + (4 + 0 - 2)*(-3*n + 0*n + n) + 2*n - 4*n + 0*n - 2 + 2 + 2*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - b - 50*b - b + 0*b + 2*b + (-3*b + b + b)*(3 - 5 + 1) - 2 + b + 2)*(63*b + 13*b - 6*b).\nAnswer: -3640*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137674 is divided by 137168.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -86, -142, -220, -326, -466, -646, -872?\nAnswer: -1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1377361 to the nearest ten thousand.\nAnswer: -1380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -1.25 (c) -97 (d) -40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 2*h**2 + 11*h - 18. Let d be z(6). Which is smaller: d or 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5992.657255 + 5997.11. Let h = f - 4.45. What is h rounded to 4 decimal places?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 11503?\nAnswer: -11513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*b - 159*b - 2756 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-2\/7)*h)\/h*h**(1\/5)\/h*h)**(1\/22)\/(((h*h**0)\/h*h*h**(1\/4))\/((h\/h**1)\/h)**(2\/11)) assuming h is positive.\nAnswer: h**(-2031\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - -16 - (0 + -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 3*j**5\/140 - 3*j**4\/28 + 6*j**2\/7 - 5*j. Factor s(d).\nAnswer: 3*(d - 2)**2*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-8))**(-3\/5)\/(f**(-1\/7)*f*f**(-1\/19)) assuming f is positive.\nAnswer: f**(1859\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -11101234?\nAnswer: -11101240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12\/2*-4*3\/24\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000602731 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -46 + 19?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125238 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 602\/403 - 32\/31. Which is bigger: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 33166?\nAnswer: 11\/16583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-3\/4)*(j\/(j*(j*j**(-4\/7)*j)\/j))\/j*j)\/(j**(-2\/5)\/(j\/j**(1\/3))))**(3\/4) assuming j is positive.\nAnswer: j**(373\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 7) to base 11.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.1 + -3. Let s = 0 + -0.1. Let l = u + s. Is 1\/3 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2. Let r = -22 + 20. What is the units digit of s(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 1:59 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 490*f - 14505. Let z be w(28). Let t = 6 - 6.4. What is the closest to z in -0.08, t, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40, -117, -162, -169, -132, -45, 98?\n\"Answer: v**3 + 10*v**2 - 114*v + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 58 + n - 3*n**2 - 58. Give t(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2892 (base 10) in base 16?\nAnswer: -b4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - (-1 + sqrt(45)))*-4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 95, 0 = -5*o + 490*f - 498*f + 157 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/10 and (-4)\/14*539\/(-36).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 198935028 or 397870057\/2?\nAnswer: 397870057\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -8 - (-80 - -31 - 8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.86 - 0.46. Sort i, -0.7, 0.02 in decreasing order.\nAnswer: i, 0.02, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3018 + -1794. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -b - 6376598 + 6376734 for b.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 2. Let v be t(-2). Suppose v = m + m. Sort -4, m, 5 in descending order.\nAnswer: 5, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -113 + -7?\nAnswer: -11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + j - j)*(-2*j + 2*j**2 + j**2 + 4*j + (2*j + 0*j - j)*(2*j + j - 5*j)).\nAnswer: j**4 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43108 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -88*i**7\/7 - 4*i**3\/3 + 83. What is the third derivative of d(j) wrt j?\nAnswer: -10560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57076724 to the nearest one hundred thousand.\nAnswer: -57100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 173*l**2 - 2 - 135*l**2 - 3*l as u*l**2 + k*l + b and give u.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/25 and -36\/155215?\nAnswer: 776075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*v**4 - 38*v**5 + 0*v**4 + 415*v + 0*v**4 - 585*v wrt v.\nAnswer: -760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**4 + 44812*h**3 - 179348*h**2 - 403308*h + 1613808 = 0. What is h?\nAnswer: -11207, -3, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/5)*i**(-6)\/i*i*(i**1*i)**(6\/19) assuming i is positive.\nAnswer: i**(-491\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(2*sqrt(8)) + sqrt(2))*-6 + 0 + -1*sqrt(10)\/(sqrt(180)*-2).\nAnswer: -107*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 4*x)*(-1985 + 1985 - 17*x).\nAnswer: -68*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 349 - 347. Suppose -4*h + 6*z = 5*z - 909, 0 = k*h + 5*z - 427. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 6 = 0, -3*u = 5*n - 12191 + 12188 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(833) + -1 + 2*sqrt(833) + sqrt(833)))**2.\nAnswer: -56*sqrt(17) + 13329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 10*y**2 + 8*y - 9. Let m be w(-9). Let g be (2 + m)*1*6. Suppose -4*c = -c - g. Sort -1, 2, c in descending order.\nAnswer: c, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26727332 by 3844.\nAnswer: 6953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llg when three letters picked without replacement from {l: 3, w: 3, m: 2, x: 4, g: 7}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18372711.\nAnswer: 3, 7, 874891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -178*z**4 + 4*z**2 - 146. Let y(m) = -1425*m**4 + 33*m**2 - 1167. Let f(k) = -33*w(k) + 4*y(k). Find the first derivative of f(u) wrt u.\nAnswer: 696*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 12:05 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5\/4 - m**4 - 3*m**3\/2 + 9*m**2 - 27*m\/4.\nAnswer: m*(m - 3)**2*(m - 1)*(m + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 8:00 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 h, 1 t, and 1 g when four letters picked without replacement from {t: 1, h: 2, u: 4, d: 1, g: 3, i: 1}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, l: 7, p: 2}. Give prob of sequence lp.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11613, -46496, -104627, -186000, -290609, -418448, -569511, -743792?\n\"Answer: r**3 - 11630*r**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 371*i - 368. Determine n(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 4 = -6*q, 0 = 4*q + 4*t - 382 + 378 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -55562.115 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7277 is divided by 431?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c + 8. Is d(6) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 6*c**2 - 8*c - 5. Calculate i(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8552\/10 - 10\/50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18865884*y**4 + 2*y**2 - 1704675*y - 7 wrt y?\nAnswer: 452781216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1465715998 + 1465716030.99999987. Let u = 33 - y. Round u to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -198.38343 rounded to the nearest integer?\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01397 take away 5?\nAnswer: -4.98603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -50*o + 5. Let a be y(-1). Let i be (-4)\/(-6)*(-42)\/(-70)*a. Solve -17*n = -i*n - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105134352 (base 6) in base 14?\nAnswer: -381a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -3 + -8 + 20 + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - z = -10, -18*x + 15*x - 4*z = -2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 584.353*-0.4.\nAnswer: -233.7412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02544 + 78.02544. What is the smallest value in r, -1\/2, 1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -115*v + 10*v**2 + 90*v + 28 + 34*v + v**3. What is f(-9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 220060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -4*g + 3*h, -g + 13 = 5*h. What is v in -2 - 4*v**5 + g - 40*v**3 + 40*v**2 - 5*v - 15*v + 3 + 20*v**4 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3328 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -48, -39, -28, -15, 0?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 62, 120, 202, 314, 462?\nAnswer: 652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 4*x**2 - 91*x - 467. Let r be q(-6). Solve r*a + 28 = 3*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 1:47 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ny when two letters picked without replacement from ylyyklllkkllnrmynlkr?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (40\/(-20))\/((-19)\/(-20) + -1). Solve -y = 7*y + u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7104)\/28 + 4\/(-14). Let t be 21\/(-35) + i\/10. Let d = t - -94. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 6*n. Let h(a) = a**3 + 6*a**2 - a + 7. Let s be h(-5). Let k be 1475\/35 - (64\/(-8))\/(-56). Let b = k - s. What is p(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - q - 1517, -3*l + 2*q + 619 + 900 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0 - 3) + -14 + 17?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.1102, -1, -0.3, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (18\/135*(-21)\/(-2))\/(870\/(-2900))\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.24 and -0.4?\nAnswer: 1.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/(-182))\/(18\/63)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -216 divided by 6\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (25\/50)\/((-10)\/(-32)). Factor 8\/5*y + b + 2\/5*y**2.\nAnswer: 2*(y + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9431 and -0.96956.\nAnswer: -9431.96956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 11*v - 3. What is the remainder when d(4) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -154967 + 2*u - 3*u + 131801 + u + u in the form s*u + q and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 102 = g, -2*h + h = 2*g - 96. Suppose 5*t - h = -0*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2112732?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52943 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 11477169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**3 - 3*g**2 - 2*g + 1. What is the remainder when q(3) is divided by 12 + -14 - -3 - -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iai when three letters picked without replacement from iiiaaaaiiii?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -26.8?\nAnswer: -26.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 3597*j**2 - 1556*j - 13688. Differentiate i(r) with respect to r.\nAnswer: 7194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -18 + i**2 - 81*i + 5 + 82*i + 17*i**3. Let j be h(5). Suppose 0 = -u - 4, 5*u + j = -2*g + 4*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240447.\nAnswer: 3, 80149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-4)\/(-912))\/4*4*-2\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 436006 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xri when three letters picked without replacement from {i: 1, x: 1, p: 1, r: 1, b: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**2 - 115*s**3 + 85*s**3 + 2*s**2 - 89*s**3 + 4*s**2 to u*s**3 + t + m*s**2 + n*s and give u.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-11)\/b*b**28 assuming b is positive.\nAnswer: b**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 114517367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*a - 425048 = -95*a. List the prime factors of a.\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oov when three letters picked without replacement from {b: 5, v: 2, o: 3}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -22*w**2 - 51*w + 9. Let s(c) = 65*c**2 + 170*c - 29. Let t(o) = 3*s(o) + 10*v(o). Let l(i) = 49*i**2 - 6. Determine 6*l(u) + 11*t(u).\nAnswer: 19*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 24*g + 7. Let z(d) = 2*d. Calculate h(s) - 3*z(s).\nAnswer: 18*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*l = -11, -2*l + 269 = 273 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (9 - (-2 + 7)) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 396?\nAnswer: -395.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -353, -1243, -2627, -4505, -6877, -9743, -13103?\n\"Answer: -247*m**2 - 149*m + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -4*h + 100. Suppose -3*d + 6 = 5*v + h, -17 = -d + 3*v. Suppose j = d*j - 3. What is the remainder when 8 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42\/4 + 2\/(-4)*1. Let j(z) = s + 13 - 21 - z + z**2. Calculate j(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (216\/(-135))\/((-20)\/40)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/9, 0.9, -2 in decreasing order.\nAnswer: 0.9, -16\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 10. Let c(f) = 4*f + 17. Let s(u) = u + 2. Let r(z) = c(z) - 5*s(z). Let g(p) = 2*h(p) - 3*r(p). Let q(i) = -2*i. What is q(g(y))?\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 5*d + 13, 2*d + d + 23 = -2*c. Suppose 2*w + 1 + 9 = 0. Which is bigger: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 180930 to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453*r**2 - 209*r**2 - 3 + 6 - 219*r**2 - 5.\nAnswer: 25*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 63.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**3\/6 + 2*m**2 + 5*m. Let i be t(2). Let a(v) = -2 - 19*v**3 + 4*v**i + 0*v - 2*v + 18*v**3. Calculate a(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = -3*r. Let u = r + 2. Let n(x) be the third derivative of x**6\/120 - x**5\/60 + x**4\/24 + 2*x**3\/3 - x**2. What is n(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(0*o - 3*o + 9*o).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2*12\/117. Let t = -4.97 - -5. Let c = 0.10196 + 2.89804. What is the closest to 2\/5 in t, c, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 2*b**2 - 5*b**2 + 6. Let f(l) be the first derivative of l**3\/3 - l - 530. Determine 6*f(z) + v(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5 = -3*m, 264 = 4*m - 3*j + 255. What is the smallest value in 0.1, m, -0.1, 532\/3, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008438 rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 5*p)*(-3*p**2 + 10*p**3 + 3*p**2).\nAnswer: -50*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - (-2 + 126\/7). Calculate the least common multiple of (-2)\/b*197 + 96\/432 and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 317, 523, 729, 935, 1141, 1347?\n\"Answer: 206*s + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -100 - 119 + 2*m + 252. Let d be j(-14). Solve 4*r + g + 3 = -6, 4*r - d*g = -27 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*x + 103 - 220 - 198 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4. Suppose x = 2*v + 4*m - 758, -v = 4*v + 4*m - 1895. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24404 - 10112000?\nAnswer: -10141404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*q**2 + 1 + (-6*q + 2*q + 3*q)*(-1 + 1 + q) + 1 - 2*q**2 - 1 + q**2 + 2*q**2 - 2*q**2 + (-20 + 6 + 10)*(27 - 27 - 14*q**2).\nAnswer: 52*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 3*r - 2508 = 0. Let w be 11\/(-4) - -3 - r\/16. Which is the third biggest value? (a) 1\/8 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**2 + 7*y**2 + 7*y**2 - 6*y**2 - 15*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*u - 4999 - 3*u - 2684 - 23*u to the form n*u + j and give j.\nAnswer: -7683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 28 - 4. Suppose 3*p - j - 209 = 0, -75 = -p - j - l. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**18*y*y)\/(y*y**(-1\/5)) assuming y is positive.\nAnswer: y**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/9*(-266031)\/(-39412).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 563\/268 + -7\/402. Let r = 96\/5 - 369\/20. Let l = q - r. Is 1 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8 and -0.5?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58.35 + -124.92. Let y = 0.57 + j. Let q = 65.922 + y. Round q to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.60979 + 1.5234. What is d rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l - 19404 = -8*l. Suppose -m + 4*d + l = 0, -790 = -m - 4*d - 113. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*t + 49, 2*m + 4*t + 5 - 39 = 0. Calculate the lowest common multiple of (-57)\/(-5) + (-6)\/m and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2044.545 * 3\nAnswer: -6133.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -67) + (-1 - 3). Let v = x - 52. Solve -f + 4*f - v = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*((-162)\/12)\/9. Is 32 a factor of (68\/z)\/(40\/2220)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5 = -1. Suppose 4*w - u - 2 = 0. Suppose -r = 1, 5*r - 6 = -2*d - w. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010111001111000 + -111010?\nAnswer: 1010111000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -4. Suppose -3*r - 5*h = -t*r, 3*r = -h. Solve 3*l = -4*f + 3*f + 1, r = -5*f - 25 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50.2 smaller than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182127075, -364254152, -546381229, -728508306?\nAnswer: -910635383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -1221?\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from {l: 1, e: 1, j: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 5, -4, 1947 in ascending order.\nAnswer: -4, -1, 0, 5, 1947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -15*y**2. Let k(a) be the third derivative of -a**5\/60 + 4*a**2. Give f(k(z)).\nAnswer: -15*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 106*h*t*u**3 - 2*h*t*u - h*t + 5*h*u**3 + 16*h + 89944*t*u**3 - 824*t*u**2 - 2*t*u - 2*u**2 wrt u?\nAnswer: 636*h*t + 30*h + 539664*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 - v**2 + v**2 + (-2*v - v - 14*v)*(-6*v + 4*v + 3*v) - 26*v**2 + 0*v**2 + 45*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5224 - -2538?\nAnswer: -2797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 17016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221221100011 - 0?\nAnswer: -221221100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 0.2915\nAnswer: 0.01166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 0*q**2 - 95*q + 0 - 1\/3*q**3. Let y(o) = -4*o - 11. What is y(a(s))?\nAnswer: 8*s - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 434 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12485.0035696 - -12485. What is c rounded to 5 decimal places?\nAnswer: -0.00357","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 831 is divided by 48?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*g + 9*g + 823 - 172)*(0*g - 2*g + 0*g)*(-g + g - 2*g)*(5 - 4 - 2) + 2*g**2 - g**3 - 2*g**2.\nAnswer: 7*g**3 - 2604*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**3 - 600516*w**2 + 5404527*w + 21618252 = 0?\nAnswer: -3, 12, 600507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -565*p**3 - 20417*p**2 - 2*p**4 + 40827*p**2 - 2 - 20410*p**2 + p - 3*p in the form q*p**2 + b*p**4 + n + y*p + g*p**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*w**3 - 6\/5*w**5 + 88 - 1192\/5*w + 834\/5*w**2 - 74\/5*w**4 = 0.\nAnswer: -11, -5, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1253976 is divided by 84.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1295151 less than -1363.4?\nAnswer: -1296514.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 5 (b) -158 (c) 0.21 (d) 0.1 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 269084015 to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -147*2\/(-6)*(4 - 5). What are the prime factors of -406*(n\/(-14) - 4)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1926.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21610580063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 15 - 35 = 0. Let t = -15 - k. Let o(v) = -v**2 - 3*v - 1. Determine o(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 1:18 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -726131, -1452230, -2178295, -2904326?\nAnswer: -3630323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6568423801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 202, 5, 3, 1, 217 in increasing order.\nAnswer: 1, 3, 5, 202, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1627 = -5*o + b, -5*o - 3*b = 299 - 1918. Suppose -q + 15 = 5*x - 295, -5*x = 4*q - o. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1.6, 1, -4, 76?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 16*w - 3*f - 198 = 0, -2*f - 46 - 44 = -5*w for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 230*k - 1540. Suppose 2*x = 5*x - 3. Solve k = -2*i - x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f = 0. Let y(j) = 54*j + 7 - 56*j - 5. Let u be y(f). Solve 8 = -u*p + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -117 - -120. Suppose 142 - 161 = -m. Solve -l*x = -2*a + 3*a - 14, -2*a - 3*x + m = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1125)\/(-50))\/(-9))\/(15\/(-126)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -21*q. Let l(c) be the first derivative of -2\/3*c**3 + 0*c**2 + 18 + 0*c. What is l(y(v))?\nAnswer: -882*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2. Let z(l) = l**2 + 3*l + 4. Let c be z(-3). Let m(p) = -c + 4 + 4*p - 7*p. Give m(x(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 520*k*p**3 + 2*k*p + 79174*k*y**2 - 41*k + 3*p**3*y**2 - 2*p**2 - 2*p with respect to y.\nAnswer: 158348*k*y + 6*p**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14238930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + 5 - 5 + (3 + 3 - 5)*(2 - 2*u - 2) + 5*u - 4*u - 2*u + (2 - 4 + 0)*(-3 + 3*u - 4 + 0).\nAnswer: -11*u + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - 1 + 1)*(-6*d**2 + d**2 + 7*d**2).\nAnswer: 2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 635668902 divided by 11.\nAnswer: 57788082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z + 5*a = -26, -4*a - 23 = -3*z. Suppose 2*p - 2 = 3*p, 0 = 4*h + 5*p - 10. Let t = -18 - -15. Put z, t, h in ascending order.\nAnswer: t, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1120311 - 3341611. Round w to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeseeseeeeseseee. What is prob of picking 2 s?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/36277 or 1?\nAnswer: -2\/36277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7841\/3 - -2614. Let g = -0.08 - -0.58. Which is the closest to -0.3? (a) g (b) 2\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -3*v**5\/10 - 7*v**3\/6 + 13*v**2\/2 - 3. Let g(c) be the second derivative of p(c). Differentiate g(r) with respect to r.\nAnswer: -36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y**2 - 123*y - 32. What is p(20)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 29*m**3 - 5*m**2 + 8*m - 8. Let a(d) be the third derivative of 19*d**6\/120 - d**5\/20 + 5*d**4\/24 - 5*d**3\/6 + 1014*d**2 + d. Give 8*a(i) - 5*u(i).\nAnswer: 7*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 - 7*l**2 - 5*l + 4. Give b(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 10*s**2 + 8*s + 18. Give t(11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*t - 33*t = 35*t - 1768. Let f(m) = -m**3 - 10*m**2 + 8. Let v be f(-10). Suppose -6 = -g + v. Calculate the remainder when t is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30, 33, 36, 39, 42, 45?\n\"Answer: 3*w + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-429)\/(-264) + (-6)\/(-16). Solve a*k - 7*k + 10 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 1:44 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 249*b**3*g + 31*b**2 + b*g + 3*g wrt b?\nAnswer: 1494*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.054\nAnswer: 0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2. Let g(m) be the first derivative of 2268*m**2 + 824. Determine g(c(u)).\nAnswer: -4536*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4105*f**2 - 2*f + 1. Let y be r(1). Let i = 2310 - y. Let u = i - -12591\/7. What is the common denominator of u and -37\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*j**3 - 104*j**2 + 2*j - 70105 wrt j?\nAnswer: -69*j**2 - 208*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of -6 - 3299\/(7\/(-21)*12\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -4, 3, -603 in descending order.\nAnswer: 3, -4, -24, -603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 27.7. Let s = v + 4.7. Let m = 0.3 - -0.7. Which is the second smallest value? (a) m (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4ab785 (base 12) to base 3.\nAnswer: -2022010101002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 36, 64, 100?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0072889 to 5 dps.\nAnswer: 0.00729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*g - 2625 = 141*g. Calculate the remainder when -5 + (-25)\/(g\/2184) is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 9:27 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1475 and 28910885.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*6*2\/36.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 106*j**2 - 25*j + 33. What is the tens digit of t(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 31178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 + -84. Let o = 129 - f. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -44?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**4\/4 - 387*h**3\/4 - 1413*h**2 - 6513*h - 8136 = 0.\nAnswer: -113, -8, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 10*f - 1101. Let q(d) = 21*d - 2200. Determine -2*q(r) + 5*w(r).\nAnswer: 8*r - 1105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 - 0.1591.\nAnswer: -1.6591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and -2388?\nAnswer: -1671.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 1:26 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*f + (-2 + 0 + 3)*(-2*f + 3 - 3) - 4*f + 0*f + 3*f + f + 3*f - f + (3 + 4 - 5)*(3 - 3 + 2*f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(60\/4) - 2\/2 - (-51)\/48\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**4\/4 - 8*l**3\/3 - 9*l**2\/2 + 18*l - 502. Find f, given that x(f) = 0.\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 - 2*x**4 - x**4 + (x**3 - x**3 - 2*x**3)*(2*x + 2 - 2) + 2*x**4 - 2*x**4 + x**4.\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**4\/14 + 16*b**3\/21 + 5*b**2\/7 + 15*b. Factor v(c).\nAnswer: 2*(c + 5)*(3*c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689556 is divided by 229835.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvjj when four letters picked without replacement from vjvjjjjjjj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 58\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -170 + -330. Let d = 940 + t. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18190642 to the power of 1\/2, to the nearest integer?\nAnswer: 4265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, -3\/7, 1.3, 3\/8, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*b - x, 12 = 4*b - 7*x + 9*x. Let m(n) = 8*n**2 - 8*n + 4. Let f(l) = -7*l**2 + 9*l - 3. Let r(o) = 3*f(o) + 4*m(o). Is r(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4970*u + 5131*u + 0*u**2 - u**2 to the form z + i*u**2 + a*u and give a.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2\/11 - 9300*v\/11 - 2538 = 0.\nAnswer: -3, 4653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (2 - 5 - 28)) + (-804 - -809).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1837 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 k when three letters picked without replacement from kfffwfkwcfkk.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.6 + 9.7. Let r = -10734967 - -10734969.89999956. Let i = r + f. What is i rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-6)*l)\/(l**(2\/5)*l))**28)**14 assuming l is positive.\nAnswer: l**(-10584\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*(1 + (1*sqrt(100) + sqrt(100) - sqrt(100) - sqrt(100))\/sqrt(5)*-4*-6)*-6)**2.\nAnswer: 14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30*(-33)\/(-3080))\/((-3)\/16)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 1\/4 (c) -4 (d) -21\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -19. Let q be ((-4)\/(-8))\/(3\/30). Suppose q*i + 7 = -2*c, 14 + 19 = 2*c - 3*i. Calculate the smallest common multiple of c and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 3:22 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 0 + 0)*(-1 - 1 + 1)*(-5*y**2 + 5*y**2 + 3*y**2).\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2104413 is divided by 2305?\nAnswer: 2253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 3. Suppose 7*o - 2*o = -8*o. Solve -c*b - b = o for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2276727 to the nearest integer?\nAnswer: 1509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 13*m**3 - 11*m**2 - 13*m + 7. Let q(r) = -7*r**3 + 6*r**2 + 7*r - 4. Let z = -260 - -293. Suppose 0 = 13*g - 45 - z. What is g*v(w) + 11*q(w)?\nAnswer: w**3 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*d = -520 + 742. Let u(s) = 3*s + 2 - 3*s - 2*s. Give u(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 5*z. Let t be s(-5). Suppose t = 2*g + g. Suppose -l + 1 + 10 = g. Calculate the remainder when 31 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**4\/4 + 7107*f**3\/4 - 89625*f**2\/2 + 179550*f = 0?\nAnswer: -2394, 0, 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -4 (b) 3 (c) 5 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 701*k**3 + 998*k**3 - 1156*k + 1159*k.\nAnswer: 1699*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + w**2 + 2*w - 3. Let r = 8 - 5. Suppose -r*l + 3*c + 11 = c, -5 = l - 5*c. Suppose v - l*o - 2 = -0*o, -3*v + o = -6. Determine s(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155.1657nm to millimeters.\nAnswer: 0.0001551657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 19*m + 19. Suppose 0 = -35*j + 177 + 138. Is q(j) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -126?\nAnswer: 12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 + m**4 - 3*m**3 - m**4 + 0*m**4 + 3*m**4 + m**3 - m**3 + 53*m**4 + m**4 + 2*m**4 - m**4 + (1 + 2*m**3 - 1)*(-2*m - m + 4*m).\nAnswer: 60*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -702 - 120562?\nAnswer: -121464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-924)*-42)\/((-9)\/(-1))*-3.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(255 + -253)\/(0 - 14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 1. Let p(u) = -u**3 + 5*u**2 - 3*u - 4. Let c be p(4). What is the closest to c in n, 0.1, 6\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*g + 68 = 6*y, g = 2*y - 22. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 121*a**5\/60 + a**4\/24 - 2*a**3\/3 - 10*a**2. Let y(x) be the first derivative of m(x). Is y(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8263 minus -7?\nAnswer: 6.1737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 988033.9 decades in millennia?\nAnswer: 9880.339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -14*l**4 + 4*l**3 + 3*l**2 + 4*l - 41. Let i(s) = s**4 + s**3 + s**2 + s - 1. Let n(c) = 3*i(c) - r(c). What is the second derivative of n(v) wrt v?\nAnswer: 204*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 736780983 to the nearest integer?\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24757, -97336, -218299, -387646, -605377, -871492, -1185991?\nAnswer: -1548874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(78)*1)\/sqrt(6).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -5.002.\nAnswer: -4.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56609 is divided by 355?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z - z**2 + 2 + 2 - 2*z**2 + z**3. Let u be n(4). Let s(b) = -b + 5. What is s(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/9 > -48830.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 9 = 31*i - 0*a - a, -4*a = -3*i + 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 11:16 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -43 - 12. Let s be ((-3736)\/(-56))\/(((-24)\/56)\/(-3)). Suppose -x + s = 4*w. List the prime factors of w.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245895 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15904 and 568.\nAnswer: 15904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 9:11 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2651539 less than or equal to 2651481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -468, 2, 3 in decreasing order.\nAnswer: 3, 2, -3, -468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {z: 10, w: 9}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from pphphlh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = k + 6, 17 = 5*f + 4*k + 26. Put 17, f, -2, 0 in descending order.\nAnswer: 17, 0, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -10*t - 2. Let g be z(-3). Suppose 4*x - 2*x = g. What is the least common multiple of x and 18\/15*(-50)\/(-3)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 897201 times 2.5?\nAnswer: 2243002.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*g - 153 + 153 to the form v + s*g and give s.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82213, -85581, -88949, -92317?\nAnswer: -95685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20802337 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27667, 221990, 749623, 1777222, 3471443, 5998942?\n\"Answer: 27776*v**3 - v**2 - 106*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2198 divided by 2?\nAnswer: -1099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -1598?\nAnswer: -4\/799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 19*g + 22 = 0. Let c(k) = k**3 - 6*k**2 + 2*k - 9. Let v be c(6). Solve g - 8 = v*p - 5*m, 4*p + m = 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjp when three letters picked without replacement from {j: 1, b: 1, r: 1, p: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.2 + 9.5. What is the third smallest value in -0.1, 2, -50, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbbubbusbbsbusu. What is prob of picking 1 b and 1 s?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/7))**(-50)*(s\/s**1)\/(s\/s**(-2\/3))*s*s**(-2\/21)*s\/(s*s*s**2)*s**(-3)\/(s*s*s*s**(2\/5)*s) assuming s is positive.\nAnswer: s**(-4922\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + 2*sqrt(13) + -2 + 2.\nAnswer: 3 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.84 in 4, -0.3, 5\/329, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -8. Suppose 2*l + 2*l = 8. Suppose 3*u = -3*m, u + 4*u + l*m - 9 = 0. Which is the biggest value? (a) q (b) u (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 2.5105838892?\nAnswer: 3.4894161108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -21*n + 79. Let t(u) = 127*u - 487. Let j(y) = -6*t(y) - 37*v(y). Let w(m) = 17*m**2 + m. Determine j(w(g)).\nAnswer: 255*g**2 + 15*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50326 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g. Let i(a) = -a + 15*a - 8*a. Determine i(p(r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 6:10 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2597*d**3 + d**2 + 3*d + 3. Let f be u(-1). Let o = f + -1329. Is 44 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6264 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3118 and 320171830.\nAnswer: 3118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2244*i + 1045702. Calculate w(466).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**5 - 27862 - 4*k**4 + 28*k**4 - 3*k**5 + 10*k**2 - 318*k**2 + 27822 + 198*k + 134*k**3 = 0. What is k?\nAnswer: -4, 1\/2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/((-8)\/10))\/(-1). Solve n = 3*l + 11, -d*n + n = -2*l - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.877302 to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*l**4 + 2*l + 1464 + 101*l**4 + 8*l**3 - 1463 in the form b*l**3 + h*l + a*l**4 + n*l**2 + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -12*w. Let k(u) = -17*u**2 + 7*u + 14. Let o(i) = -9*i**2 + 4*i + 8. Let g(q) = -4*k(q) + 7*o(q). Calculate l(g(f)).\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 195416*y + 9546853264.\nAnswer: (y - 97708)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*a + 2*a - 4*i, -2*i = 10. Solve a = 5*g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 10)\/(6\/21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1568664183 rounded to the nearest one hundred thousand?\nAnswer: -1568700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-4 - (-22)\/6). Suppose 2*z + o = 32. Is 32*(84\/z)\/3 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1251a7 (base 12) to base 8\nAnswer: -1110317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/81 - -53\/1053. Is t equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/6*(-21)\/14. Let r(o) = -o - 2. Let b be r(g). Find the third derivative of 2*d**2 + 3*d**2 - 2*d**b + 10*d**4 - d**2 wrt d.\nAnswer: 240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10\/3, -1374\/11, -3\/16?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**10*j**(-8\/3))\/((j**2\/j)\/j)**(-44) assuming j is positive.\nAnswer: j**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -234461314\/501 - -467986. Let j = k - 2\/167. Put 1, 3, 4, j in increasing order.\nAnswer: j, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - -0.02. Let n = 2.06 - t. Let g = 3790.3 - 3790. Which is the third biggest value? (a) g (b) 5\/4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 3*n - n**2 - n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 8 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 256604?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 572?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**3 + 2*n**2 + n - 2. Give h(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 2*v**6\/3 - 3. Factor f(t).\nAnswer: 4*t**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y - 11. Let m(u) = u + 2. Let a(f) = 11*m(f) + 2*s(f). Let v(c) be the second derivative of 2*c + 0*c**2 - 1\/6*c**3 + 0. Determine a(v(w)).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + x)*((2*x + 0*x - x)*(-x - x + 0*x) + 3 - 2*x**2 - 3 + 5*x - 5*x - 2*x**2).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbvb when four letters picked without replacement from hbhbvbhvhhvbh?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 + -21. Calculate the smallest common multiple of w and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0.1. Let w = 6.2 + -67.2. Let d = w + 60.5. Which is the third biggest value? (a) z (b) -3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -110.\nAnswer: -17\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**8\/735 + g**7\/294 - g**6\/630 + 5*g**3\/3 - 8. Let c(w) be the third derivative of y(w). What is p in c(p) = 0?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(120\/10)*(30\/(-28))\/(-5)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 284221 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/((28\/1)\/14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3.8, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/116 and (0\/(-4))\/5 - (-5)\/22.\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 40*u - 3. Let r be c(2). Suppose 0 = 5*k + l - 52, k + 5*l = -0*l - 4. Calculate the greatest common divisor of r and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-130565 - (-3 + 0)) + -2. Let y = -90564 - q. What is y rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.23 - 0.43. Let y = -14 - -13.6. What is the third biggest value in j, y, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 4. Let r(v) be the second derivative of 7*v**4\/6 - 2*v**3\/3 + v**2 - 67*v. Calculate the lowest common multiple of t and r(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669313405.\nAnswer: 5, 31, 59, 73189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 1 - (-72)\/(-54). Which is smaller: 0.07 or q?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/4*(-92)\/((-5)\/5)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**4 + k**4 + k**4 + (k - 3*k + k)*(-22*k**2 + 20*k**3 + 22*k**2).\nAnswer: -18*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9496 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/(-4))\/(-2 + -4 + 4). Let v(u) be the first derivative of -u**3 + 2 + 1\/2*u**2 + 2*u - h*u**4. Let t(k) = k**3 + k**2 - 1. What is -3*t(z) - v(z)?\nAnswer: 2*z**3 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/21, 18, -15?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 4*c**2 - 7*c - 6. Let o be (2\/(-3))\/(6\/(-45)). Suppose -4*w + o*a - 40 = 0, w + w - 3*a = -22. Let h be j(w). Solve h*s = -5 - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11537, -11549, -11561, -11573, -11585, -11597?\n\"Answer: -12*w - 11525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69697 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: In base 14, what is 4627917 + -1?\nAnswer: 4627916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 4*i + 2. Let d be s(-5). Let a = d + -32. What is the remainder when a is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(57)\/(sqrt(3)*1) + 2)**2 + (0 + (sqrt(1539) + 0)*-4)**2.\nAnswer: 14*sqrt(19) + 24692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Let i(y) = -y**3 + 3*y**2 - y - 1. Let x be i(j). Let q(n) be the third derivative of -5*n**4\/12 + n**3\/6 + 4*n**2. Determine q(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 8 (c) -1635 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 292\/9 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/55760*10)\/((-2)\/12)?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6982 + 3483 + 3497 - 149*d**2.\nAnswer: -149*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t**2 + 6*t - 11. Let r(v) = 4 + 8*v - 10*v + 0*v**2 - 2*v**2. Let f be (-70)\/(-6) + 4\/(-6). What is f*r(k) + 4*c(k)?\nAnswer: -2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162814, -162757, -162700, -162643?\nAnswer: -162586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4, 25, 58, 109, 184, 289, 430, 613?\n\"Answer: v**3 + 14*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 43812159.18544 + -0.2?\nAnswer: 43812158.98544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from ccvcvvcvcvccv?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 0 + 0)*(2*m - 4*m + 4*m + (-2 + 4 - 1)*(3*m - 3*m - m) - 4*m - m - 4*m + m - m + m + 3*m - m - 3*m + (-3 + 2 + 3)*(0 + m + 0) + 3*m - 4*m + 2*m).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**2 + 17*z**2 + 39*z**2 - 3*z**2.\nAnswer: 38*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10440\/725*60\/18.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73 + 3*l - 32 - 41 to z*l + i and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 11:19 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3131.409 grams to tonnes.\nAnswer: 0.003131409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n - 15 = -23*n. Let s(y) = -y**2 - y + 8. Let r be s(n). Solve -k + r*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*c*j*k**2 + 4*c*k + 114*c - 2*j*k**2 - 6*j wrt k.\nAnswer: 26*c*j*k + 4*c - 4*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 183 = -2*t, 2486*t - 2489*t = 3*o - 189. Determine a so that 194\/3*a - 2*a**2 + t = 0.\nAnswer: -2\/3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/8*(-2 + (-21)\/(-18))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 91*p + 3428. Calculate n(120).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4316 is divided by 83?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 825.2963 take away 717884?\nAnswer: -717058.7037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 9*z**2 - 6*z + 21. Give i(9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 294, 393, 486, 585, 702?\n\"Answer: 2*g**3 - 15*g**2 + 130*g + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11.3, -1\/3, 0, -1\/5, 2\/3, 5 in descending order.\nAnswer: 5, 2\/3, 0, -1\/5, -1\/3, -11.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -9693*o - 1521809. Calculate h(-157).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*g = 163*g + 2*p - 784, 3*p + 424 = 2*g. Which is the smallest value? (a) -5 (b) g (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 divided by -33341?\nAnswer: -76\/33341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 365*d**3 - 535*d**2 - 735*d + 215. Let p(u) = 61*u**3 - 89*u**2 - 122*u + 36. Let y(w) = -4*g(w) + 25*p(w). Factor y(l).\nAnswer: 5*(l - 2)*(l + 1)*(13*l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 790444922?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2173 divide 136601945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = h + 1. Sort -2, h, 1 in decreasing order.\nAnswer: h, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -7, -5, -2 in decreasing order.\nAnswer: 4, 1, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176778688 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 49*z - 124. Let x = 184 + -168. Is d(x) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31113 plus 17348985693?\nAnswer: 17348985693.31113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 11*b - 13 = 0. Let l be 2 - (b - (-10701 + (2 - 2))). Round l to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 737582\nAnswer: -13\/737582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 11:53 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 834272 or 834339?\nAnswer: 834339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56324650?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7297 rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.859795 centuries in millennia?\nAnswer: 0.3859795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 11:32 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a + 43e6?\nAnswer: 43dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -8*f - 5. Let y be i(0). Let a(j) = 2*j**2 + 6*j + 3. Give a(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*s + 8 = 4*c, 2*c = -5*s + 9. Let b(y) = 2*y - 5. Let f be b(8). Let w(l) = -9*l**2 + 3*l + 19*l**2 - f*l**2. Determine w(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*m + 24, -476*m - 30 = -475*m - 5*p. Let s = 2900 - 1904. Suppose m = -k + 5*k - s. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 5:06 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1372 is divided by 947.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -5.5\nAnswer: 1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (9\/8)\/3*75\/(-5250)*-112\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8282\/1212 - (-15)\/(-18))\/(-94)?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*x - 992, -25 + 23 = -2*x. Calculate the greatest common divisor of b and 1287.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5660*i**4 - i**3 - 10899?\nAnswer: 22640*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412 = -245*i + 1058. Let t(n) = 0 - 3 + n**3 + 15*n - 7*n**2 - 3. What is the tens digit of t(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 9\/(-12))*(-12)\/(-7)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i. Let j(k) be the third derivative of -k**5\/60 + k**2 - 18. Determine j(q(p)).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 6*u + 3. Let z be o(4). Let n = -2 - -2. Let x = n - 4. Put x, 1, z in descending order.\nAnswer: 1, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*s**5 + 66520*s**4 + 5305192*s**3 - 12369296*s**2 + 8556796*s - 1559240 = 0. What is s?\nAnswer: -2293, -85, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - 3*u + 3*u)*(-1 - 5 + 4) + 6*u**2 - 2*u**3 - u**3 + u**3.\nAnswer: -6*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 408, 1640, 3694, 6570, 10268, 14788, 20130?\nAnswer: 26294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1572.673 millennia?\nAnswer: 15726.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6004 - -20?\nAnswer: 6024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/7 - 134*o**2\/7 + 2432*o\/7 - 6144\/7.\nAnswer: 2*(o - 32)**2*(o - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v = 54. Suppose 0*t = 2*t - i - v, -i = 5*t - 71. Calculate the smallest common multiple of t and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*m - 4 = 163*m - 0. Let k(c) = c**3 - 5*c**2 + 2*c - 9. Let d(a) = a**3 - 2*a**2 + a - 4. Give m*k(q) - 9*d(q).\nAnswer: -5*q**3 - 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -110010000111 (base 2) to base 13\nAnswer: -15c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 7:34 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -905*i = -890*i - 375. Solve -22*g = -17*g - i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131 + -3320?\nAnswer: -3123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -94. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2271*o - 1103. What are the prime factors of y(-4)?\nAnswer: 23, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntn when three letters picked without replacement from {d: 2, n: 2, t: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1164\/5 - 231. Let g(n) be the first derivative of -s*n**5 + 1\/2*n**6 + 1 + 9\/4*n**4 - n**3 + 0*n**2 + 0*n. Suppose g(j) = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1915, 10014, 31999, 74812, 145395, 250690, 397639?\nAnswer: 593184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**4*h*s**3 + 5*b**4*h - 2*b**3*h*s - b**2*h*s**3 + 17*b**2*h*s - 9*b**2*s wrt b?\nAnswer: 24*b*h*s**3 + 120*b*h - 12*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 570.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 18*s + 7. Let a be h(-6). Calculate the common denominator of (a\/10)\/1 + 0 and (-207)\/(-24) + (-44)\/(-11).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u - 2. Let l(y) = -17*y + 18. Let g(j) = l(j) + 6*p(j). Determine g(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5)\/((-210)\/175)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*o**6 + 9*o**6 + 19*o**6 - 41*o**6 + 13*o**2 wrt o.\nAnswer: 1080*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 43\/1394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27628996 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21169\/1262940 + -2\/21049. Let s(a) be the third derivative of -1\/240*a**6 + 2\/3*a**3 + 0 - 36*a**2 + 0*a + 1\/12*a**4 - m*a**5. Factor s(q).\nAnswer: -(q - 2)*(q + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104360723?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23081 - 23081 - 13041*c**2.\nAnswer: -13041*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2. Let y(w) = w + 6. Determine x(y(k)).\nAnswer: -k**2 - 12*k - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2845822\/5 smaller than -569164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*w + 30 = 66 - 36. Let g(q) be the first derivative of w*q**2 - 18 - 1\/9*q**3 + 1\/3*q. Factor g(b).\nAnswer: -(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 767 is divided by 378.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.23299934 + -0.233. Round w to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/4)\/(2\/24). Let l(s) = 2*s**2 - 4*s + 3. Let x(o) = -3*o**2 + 7*o - 5. Let d = 23 - 33. What is d*l(f) + r*x(f)?\nAnswer: -2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 385, 281 in descending order.\nAnswer: 385, 281, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (540\/(-75) - (-12)\/2)\/(-6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 10) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 10*l - 137 = 9*l, 3*l = -w + 51. Let v = 252 + -147. Calculate the highest common factor of v and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 * -44\nAnswer: 3124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**4 - 2*i**4 + 3*i**4 + 17*i**4 - 7*i**2 + 7*i**2 + (2 + 2*i**2 - 2)*(-1 + i**2 + 1) + 0*i**4 + 4*i**4 - 3*i**4)*(5*i + i + 2*i).\nAnswer: 152*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 5:28 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 872*f = 870*f + q + 1, 0 = f - q - 1. Solve f = 25*t - 8*t + 17 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25.2 + -25.20000228. What is f rounded to 7 dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 467087905?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 80501331?\nAnswer: 80501330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 266 = 2*g, 5*p - 148 = -0*p + g. Solve 72*f + p = 66*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -853*b**3 + 2698. Let z(k) = -k. Calculate z(f(w)).\nAnswer: 2559*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56333 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**3 - 290*w**2 + 565*w - 280 = 0. What is w?\nAnswer: 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 42, 6, -32 in increasing order.\nAnswer: -32, -5, -2, 6, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -13. Let f(s) = s + 10. Let k be f(j). Let n = -7 + 4. Which is the closest to -1? (a) n (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 822 = -2*d - 698. Let r = -756 - d. Suppose x + 2*x = 6. Solve -4*n = -x*n - r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20.927? (a) -0.1 (b) 2 (c) -2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/15*18\/3)\/(-73*(-292)\/(-266450))?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -148\/7*f**2 + 2\/21*f**3 + 7168\/3 + 1152*f.\nAnswer: 2*(f - 112)**2*(f + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3266 + 3415. Calculate the remainder when f is divided by 47.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -71, 668?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**4 - 436429*j**3 - 2531154*j**2 - 2967512*j + 698240 = 0. Calculate j.\nAnswer: -87280, -4, -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 50*c + 517. Calculate the remainder when z(-9) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d + 0 + 0)*(0 - 1 + 3) + d + d + 6*d - 8*d + d + 0*d as l*d + j and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 + 5*d + 5. Let r be k(6). Let u = 65 + r. Let t be -4*(1 - 0)\/(-1). What is the highest common factor of t and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(320\/(-488))*14\/28\nAnswer: 61\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 977522 divided by -23842.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 369 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 103 - 303*c**3 - 212 + 109 - 99*c**2 wrt c.\nAnswer: -1818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.9 in 12, 10, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -117, 2, -2\/5305, 239?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-3 - (5 - 7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 4\/9, -0.2 in increasing order.\nAnswer: -2, -0.2, 4\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4176 + 4381. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.5 and 6.41.\nAnswer: 9.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101091069?\nAnswer: 3, 109, 103049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -13555*g + 13546*g + g**2 + g**3 + 3*g**3 as s + p*g + z*g**3 + q*g**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 10*f + 20. Let q be d(-8). Let m = 103 - 99. Solve 0 = -2*k - m*s + 20, 0 = 5*k + s - q*s - 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dnnn when four letters picked without replacement from {n: 7, d: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1150 divided by 1?\nAnswer: -1150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 0 - -1) + 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(15) + sqrt(135))\/sqrt(5).\nAnswer: -3 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -884*x - 963*x + 6721 = -2514 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*w**3 + 6*w**3 + 6*w**3 - 3*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 19 = -10*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2. Suppose 0 = 3*o - 11 + 5. Let h(l) = 5*l**o + 10*l**2 - 6*l**2 + 8*l**2. Determine h(n(r)).\nAnswer: 17*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2458131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 24 - t**2 + 2*t**2 - 7 + 19*t. Let f be ((-115)\/69 + (-8)\/(-6))*-42. Is b(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/(85\/(-15))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40591\/42 - 967. Let w = -2096975\/56 - -37444. What is the common denominator of p and w?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2151 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 20*f + 24. Give r(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 109, -1.\nAnswer: -1, 3, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - 0.3. Let s = -0.4 + b. What is the third smallest value in 3, s, 1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003394988 to 6 decimal places.\nAnswer: -0.003395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10980642 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 295, 2, 1, 4\/7 in ascending order.\nAnswer: 4\/7, 1, 2, 295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*g, 4*a - 5*a - 2*g + 4 = 0. Suppose 3 = 3*j - 3. Suppose -j*c + 3 = 13. Sort c, 5, a.\nAnswer: c, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 - 2*f**3 + 58 + 13.\nAnswer: -2*f**3 + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 7:53 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o, 13 - 43 = -m - 2*o. Let y(i) = -2*i**2 + 41*i + 8. Let a be y(18). Is a\/10 - (-6)\/m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -285, -279, -271, -261, -249, -235, -219?\n\"Answer: s**2 + 3*s - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 64, 128, 192, 256, 320?\n\"Answer: 64*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3402, -13547, -30444, -54087, -84470, -121587?\nAnswer: -165432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -10*b + 3*b. Solve 7 = -y + b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1774\/15 - -582\/5. Let v be (-343)\/(-4) - 1\/(-4). Find the common denominator of y and v\/(-15) + 3\/(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1005 = 34*c - 12*c - 2361. Let q(r) = -r**3 + 7*r**2 - 5*r + 1. What is the remainder when c is divided by q(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -15. Let r = 8 + t. Let g(d) = 3*d**2 + 2*d - 1. Give g(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 8, c: 1, l: 8, o: 1}. What is prob of picking 1 l and 1 o?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 754 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9517102?\nAnswer: 2, 7, 679793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 112*x**2 + 810*x - 681. Give q(-104).\nAnswer: 1607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**3 - 14*v**3 - 8*v**3.\nAnswer: -19*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -12*(3 + 13\/(-4)). Let u be 4\/((3\/9)\/(5\/f)). Calculate the greatest common divisor of 30 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 39*j**2 - 83*j + 342. What is q(37)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 65. Let q(k) = 2*k + 3. Let j be q(-2). Let z = u + j. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42893 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 2*u + u)*(2*u**3 - 627 + 4*u + 627).\nAnswer: -2*u**4 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 3*n + 8. Let x be j(3). Let h be (3\/(-6) - -2)*x\/(-36). Which is the second smallest value? (a) -0.045 (b) h (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 493\/12. Let d(f) be the third derivative of 4*f**2 + 0 + 0*f**3 + 0*f + p*f**4. Let k(a) = -a**2. What is d(k(l))?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 288043, 576268, 864507, 1152766, 1441051, 1729368?\nAnswer: 2017723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + t = -146, r + 2*t - 78 = -r. Suppose r = s - 28. Suppose -5*x + 65 = -s. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 9:15 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 29089914\nAnswer: 5\/29089914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -5)*(-1)\/5. Let i(t) = 0 - 2*t**2 + 9*t**2 + t - g. Let q(l) = l**2. Let u be (-1 - -1) + -2 + -3. What is u*q(r) + i(r)?\nAnswer: 2*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01332281046 to six decimal places.\nAnswer: -0.013323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 343 or 342?\nAnswer: 343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 11:02 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*k = -43, 2*k - 1 - 8 = q. Let f = 16 + q. Let d(o) = -8*o**3 + 2*o + 2. What is the least common multiple of 7 and d(f)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1174266 (base 10) to base 7\nAnswer: -12660342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 6276*k - 6280.\nAnswer: 4*(k - 1)*(k + 1570)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 320780443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (390\/45)\/(4\/3 + -2). Let i be 8 - ((-598)\/6)\/y. Let j = 9\/20 + -1\/4. Which is the nearest to 0? (a) i (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826031.\nAnswer: 557, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 8:48 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 26. Suppose -4*a + 3*j + n = a, 0 = -4*j + 8. Suppose -2*y = -y. Solve -b + 5*q = 2*b + 9, y = -b + a*q - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2357 divided by -4?\nAnswer: 2357\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 361143506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/49796 and 17\/211.\nAnswer: 49796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((h - 3*h + h)*(2*h - 2*h + h) - h**2 - 3 + 3)*(-5 + 5 + 2*h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f = 25*f. Solve -26*z + 33*z - 21 = f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 92\/3*z - 1\/3*z**2 - 172.\nAnswer: -(z - 86)*(z - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55 + -152?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 7 = -0*y + 2*p, -5*y - 4*p + 5 = 0. Let l = -0.07 - 0.03. Let n = 0 + l. What is the closest to n in -2\/17, 3, y?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 148 + -43. Let p = 83 - -1. Suppose -8*u + p = -4*u. Calculate the greatest common factor of f and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7.1, 12, 1\/8, -2, 0 in decreasing order.\nAnswer: 12, 1\/8, 0, -2, -7.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -145*m + 3. Let p be h(4). Let b = -337 - p. Suppose -4*j + u = -b, u = -j + 6*u + 60. Does 20 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1533)\/876*(6 + -2) + -48 + 1?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 6 - -10 - (-1 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-4) - (-1 + 3). Suppose -3 = -m - 3*w, 4*m - f*w - 25 - 1 = 0. What is the remainder when 26 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 34, 18, -2, 3, -1 in descending order.\nAnswer: 34, 18, 3, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**4\/2 + 27*d**3\/2 - 87*d**2\/2 + 89*d\/2 - 15 = 0.\nAnswer: -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**3\/6 - 81*x**2\/2 - 98*x. Let d be l(23). Is d at most as big as -101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1))\/d*d)**(-31)\/(d**(2\/5)\/(((d\/d**(-3))\/d)\/d)) assuming d is positive.\nAnswer: d**(-302\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((940\/3)\/94)\/((-4)\/(-42)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2686 at least as big as 2687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6*a + 2)*(-109*a + 108*a + 323*a + 826*a).\nAnswer: 6888*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 641504293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14150 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 s, and 2 e when four letters picked without replacement from {u: 1, x: 1, s: 2, i: 1, l: 2, e: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2016718 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 8020*f**2 - 312794*f + 546 = 0. Calculate f.\nAnswer: 7\/4010, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -448336 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81500 and 326.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(50) - sqrt(200)\/sqrt(4))*-2)\/(sqrt(1440) - (sqrt(1440) + -1*sqrt(1440))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbu when four letters picked without replacement from vbbaaubbbavbvuavbba.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((-3 - -8) + -5) - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -17*o**6\/90 + o**5\/120 + 17*o**4\/24 - 8*o**2. Let c(b) be the second derivative of m(b). Is c(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -192255, -383935, -575615?\n\"Answer: -191680*t - 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-547*o + 251*o + 296*o - 3645*o**2)*(-2 + 1 - o**2 + 0*o**2).\nAnswer: 3645*o**4 + 3645*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*k - 81 - 521, 0 = -f + 2*k + 219. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**2 + 0*i**3 - 2*i**2 + 2*i**3)*(-6080*i - 6076*i + 11964*i) as a*i**2 + s*i + g*i**3 + u*i**4 + p and give u.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2. Let m = 88 + -75. Let r(i) = 10*i - m*i - 3*i. Give x(r(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 392.6512 to 1 decimal place.\nAnswer: 392.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**10*v)\/(v*v**2*v))\/(v**(-2)*v)**(5\/8))**(-4) assuming v is positive.\nAnswer: v**(-77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/297 and -125\/594.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1315 + 2352. Let p be 19\/(-17) + 1 - (-6344)\/w. Solve -p*h - 40 = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -8. Let u = x + -1. Solve u + 0 = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 12:08 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22.7 + -7.1. Let t = j - -30. Which is greater: t or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107934 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (-2*sqrt(272) + sqrt(17)))**2 + (-2 + sqrt(51)\/sqrt(3))**2.\nAnswer: -4*sqrt(17) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 26. Suppose -4*x = 5*j - 6, 0*x + t*j + 18 = 2*x. Suppose -38 = -3*d + s, 0*d = -3*d + 2*s + 34. Calculate the remainder when d is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 13, 1, 277 in descending order.\nAnswer: 277, 13, 12, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -8. Suppose -16 = -d*v - 4, -14 = -5*u - v. Let l(w) = w. Let y(g) = -2*g**3 + g**2 - 3*g. Determine u*l(j) + y(j).\nAnswer: -2*j**3 + j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(190) - sqrt(190)*2))\/(sqrt(1440)*1).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 46 - 14. Suppose -6*b = -10*b + d. Let v = 1.8 - 1.87. Put 4, v, b, -0.2 in descending order.\nAnswer: 4, b, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 46386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -9, -4\/9, 2\/21, -2.43, -1\/3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - c - 9 - 7 - 15 = 0, 2*h = -4*c - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4361927?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2195 minus 4219?\nAnswer: -2024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = -2*g - 11*w - 18, -g - 10 = 3*w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h. Let g(a) = 2*a. Suppose 28*o - 27*o = 30. Let x(c) = c**3 - 29*c**2 - 30*c - 3. Let v be x(o). Determine v*y(p) + g(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 6*l**2 - 14*l + 30. Let w be u(7). Let v(j) = 3*j**3 + 58*j**2 + 18*j - 43. What is v(w)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124f7 (base 16) to base 6.\nAnswer: 1335115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19571803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q - 6. Let f be z(-5). Suppose 2 = -v - f. What is the units digit of (-1)\/((-9)\/v)*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f**2 - 5. Suppose y + 1 - 3 = 0. Let s(p) = p**2 + p**y + 2*p**2 + 4. Let t be ((-10)\/(-3))\/((-2)\/(-3)). Calculate t*x(c) + 6*s(c).\nAnswer: -c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-72)*-9*(3 + 1). Suppose 12 = 9*k - r. Solve 0*c = -k*c + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -8.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - (-22 - (-22 - (1 + -13))).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*s**2 - 12 - 8 - 16 + 39 to the form f*s + z + r*s**2 and give r.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**2*c)\/(c\/(c**(-2\/9)\/c)))\/((c\/(c**(3\/2)*c))\/((c*c**(-5))\/c)) assuming c is positive.\nAnswer: c**(-31\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2839517 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*u - 9*u - 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -57 - 0) + 0 + 3. Let b be (1*h\/(-15))\/((-2)\/12). Calculate the least common multiple of 4 and (28\/(-6))\/(b\/33).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135930 + -256.165479.\nAnswer: 135673.834521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/19? (a) 2 (b) -1\/11 (c) 370562\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(300) + -2) + (3*(sqrt(432) - (sqrt(432) + 0 + sqrt(432))))**2.\nAnswer: -50*sqrt(3) + 3898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -7920*p + 7922*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b + 0 + 0)*(2 - 3 - 1)*(-1 + 3 - 5)*(-181*b - 248*b + 34*b) in the form y*b**2 + l + v*b and give y.\nAnswer: 7110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125773880 is divided by 3629.\nAnswer: 3627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(10\/3))**30 assuming p is positive.\nAnswer: p**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3 - 5*p + 6*p**2 + p + 3*p**3 - 3*p - 2*p**3. Suppose 24 = -6*j + 2*j + d, 0 = 4*j - 3*d + 16. Let t be y(j). Put t, 0.1, 0.2 in decreasing order.\nAnswer: 0.2, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*i**3*o*t**2 - 3*i**3*o*t - 4*i**3 + 493*i**2*t**2 + 30*i**2*t + 5*i*o*t**2 - 2*i*o + 13*i + t wrt t.\nAnswer: -14*i**3*o + 986*i**2 + 10*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 4*a - 1. Suppose -2*j + 0*j + 70 = 0. Suppose -4*c = -p - j, -6*p + 4*p - 98 = -c. Let l be p\/12 - 3\/(-12). Determine g(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 2. Let u = -6 + w. What is the nearest to u in -1\/5, -4, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-14)*t)**9)**2 assuming t is positive.\nAnswer: t**(-234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 480.2 + -470. Let y = -9.8 + 15. Let x = y - d. What is the third smallest value in -1\/5, x, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 57, 60, 49, 18, -39, -128?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r**2 - 3*r - 17. Let m(h) = -6*h**2 + 3*h + 17. Let b(s) = 4*m(s) + 5*y(s). Let z(d) = -184*d - 726. Let w be z(-4). Is b(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s**2. Let q(a) be the second derivative of 0*a**2 + 1\/3*a**3 + 3*a + 0. Give q(z(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkss when four letters picked without replacement from kskssssksss.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, -1\/3, 27?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000399435 to five dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 4*q + 2528 = -2*v, -2*v + 998 = -5*q. Suppose 15*z - v = -3*z. Calculate the remainder when 147 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2770758, 11083043, 24936854, 44332191?\nAnswer: 69269054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 16. Let u(f) = -67*f**2 - 19*f**2 + 18*f**2 - 10*f**2 - 83*f**2. Determine u(t(l)).\nAnswer: -161*l**2 - 5152*l - 41216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 453? (a) 4\/7 (b) 2\/17 (c) -3 (d) 1 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131 + 131.2. Which is the third biggest value? (a) p (b) -29 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -5, -2, 2, 0, -12 in decreasing order.\nAnswer: 17, 2, 0, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 + 8*s - 8. Let b(o) = -15*o**2 - 40*o + 41. Let x(c) = 2*b(c) + 11*p(c). What is the units digit of x(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/8)\/h**(2\/23))\/(h*h\/(h*h*h\/(h*h**4)))**15 assuming h is positive.\nAnswer: h**(-11033\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -181\/10 (b) 2\/17 (c) 0 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 64*i**2 + 279*i**2 - 22 - 55. Let o(r) = 9*r**2 - 2. What is 6*a(j) - 231*o(j)?\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -143 and -0.13.\nAnswer: -143.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 5. Suppose -2*o - 18 = 3*f, o = -0*o + 5*f + 4. Let d be n(o). What is the tens digit of 16 + d - 6\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f + 5*r = 528025, 527980 = -4*f - 4*r. What is f rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.9 - 15.4. Let w = r + 22.30163. What is w rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 626.25?\nAnswer: -626.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -j - 10, -2*j = 4*y + 2*j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*b - 65. Solve 4*z - 3*l = -13, -2*z - b = 2*l - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8102.294 millilitres in litres?\nAnswer: 8.102294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -213099.8 times 1.1?\nAnswer: -234409.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -158070 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 65, 69, 75, 83, 93?\n\"Answer: k**2 + k + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2890 + 2903. Suppose 3*j = 7*j - 196. What is the remainder when j is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/21, 7374, -2\/285?\nAnswer: -2\/285","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 - 611146?\nAnswer: -611133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -19, -2\/21?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13035777?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 248*r**2 - 193\/24*r**4 + 0*r + 1\/5*r**6 + 0*r**5 + 0*r**3 + 0. Find the second derivative of o(v) wrt v.\nAnswer: 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 374 and 10642.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.12 and -260.13521939.\nAnswer: -260.25521939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from kemuamamukimkk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 2*g - 5230 = 2*h, -4*g = -4*h + 5200. Is h a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38133, -9\/58, -0.1, -2\/11, 4 in decreasing order.\nAnswer: 4, -0.1, -9\/58, -2\/11, -38133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(-4\/21)*(b**(1\/4))**(-29\/4) assuming b is positive.\nAnswer: b**(-545\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**5\/120 + u**4\/12 - 7*u**3 + 17*u. Let c(m) be the second derivative of a(m). Give c(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274244406 to the power of 1\/2, to the nearest integer?\nAnswer: 16560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -23*q**2\/2 - 11*q + 5329. Let f(w) = -12*w - 5. Calculate -5*f(b) + 2*r(b).\nAnswer: 14*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -5*f**8\/196 + 53*f**7\/490 - 6*f**6\/35 + 17*f**5\/140 - f**4\/28 + 8*f**2. Let s(w) = 0. Calculate w.\nAnswer: 0, 1\/4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 6:22 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4075, 4083, 4091?\n\"Answer: 8*v + 4067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 844, -4, -3, 1 in descending order.\nAnswer: 844, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9 - 2 + 13*t**3 - 6 wrt t.\nAnswer: 39*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/20 and -13\/19369484.\nAnswer: 96847420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/318 and 97\/98580?\nAnswer: 98580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 11:13 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.405*0.2\nAnswer: 0.281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -2 (b) 0.4 (c) -1 (d) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1944, 1863, 1782, 1701, 1620, 1539?\nAnswer: 1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**4\/3 + 7*r**3\/2 - 15*r**2. What are the prime factors of a(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.21 + 0.2. Let q = 1.99 - b. Suppose 2*v = -5*o + 13, -2*v + 1 + 3 = 2*o. What is the second smallest value in -0.3, q, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 0*q + 4*q = 0. Suppose -4*p + 17 = 5*s, 3*p - s - 8 = -q*p. What is the highest common factor of p and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/4)\/(2\/(-20)). Suppose -287*x - 337*x - 408 = 348*x - 1074*x. Solve 3*r = 5*q - 2*r - z, -3*r = x*q - 26 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/3 (b) 5382 (c) 3187\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u**2 + 133*u - 487. What is the remainder when 1110 is divided by n(18)?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 299.\nAnswer: 1\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -789*k**4*p**2 + 15*k**3*p**2 - k**3*p - k**2*p**2 - 4217*k**2*p - 2*p**2 wrt k?\nAnswer: -18936*k*p**2 + 90*p**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -100*v + 814. Determine g(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 + 2*u + 2. Let o be q(3). Let x(v) = v**2 + 9*v + 6. Let r be x(o). Suppose 2 = 3*s - r. Solve -s*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 6*y. Suppose y = -2*s - 9 + 7. Do s and -33 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -707, -840, -975, -1112?\nAnswer: -1251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**3 + 220*r**2 + 3*r + 184. Calculate n(-55).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 9*t**2 + 3*t + 4. Let x be c(4). Suppose 4*b - 3*r - r - x = 0, 0 = -b - 3*r + 56. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1272807896 to the power of 1\/4, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idrewivv. Give prob of sequence ew.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -119, -322, -597, -938, -1339, -1794, -2297?\nAnswer: -2842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1400)\/9010 - 48\/(-1272).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 - 41*g + 41*g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6071275567 to the nearest integer?\nAnswer: 77918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3 = 18. Which is the closest to -2\/5? (a) 0.5 (b) m (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 33.25978 kilograms?\nAnswer: 33259780000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(242) - sqrt(242))*4 + sqrt(242).\nAnswer: -121*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57404, -229601, -516578, -918329, -1434848, -2066129, -2812166, -3672953?\nAnswer: -4648484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/35 + 408\/21. Does 9 divide (9\/(-2))\/(s\/(-38))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 410*v + 409.\nAnswer: (v - 409)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 13. Let f be m(7). What is the third derivative of -10*z**6 + f*z**2 + 0*z**6 + z**6 wrt z?\nAnswer: -1080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 3*o - 147. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 740 + 253 + 0*d**2 - 55 + 4*d**2 - d**2.\nAnswer: 3*d**2 + 938","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -128 + 91. Let y = m - -10. Let d be (y\/(-36))\/(2\/336). What is the greatest common divisor of 14 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 9. Suppose y - 33 = 5*r. Suppose 0 = -c - 3*g + 5, c + g - 2 = 1. Put r, 5, c in descending order.\nAnswer: 5, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 12:40 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -30120*p**3 + 12*p**2 + 38*p - 154. Let j be r(4). Round j to the nearest 10000.\nAnswer: -1930000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 - 0) - (-726 + 731).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 286*x**2 - 2224*x + 13. Let c be j(8). Let k be (-1 - -2)*(17 - 2). Solve -k*m = -c*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1449 + 10145\/7. Let x = 28.1 + -30. What is the second smallest value in f, x, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + 0 + sqrt(200) - (sqrt(2) + sqrt(2)*-2*5))*-4 + -3 + -1*sqrt(2) + sqrt(2) + sqrt(14)\/(sqrt(28)\/sqrt(4)) + -3 + -5.\nAnswer: -115*sqrt(2) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v + 13*v = -4*l - 280, 6*v - 26*v - 3*l - 145 = 65 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 2*c**2 - c**2)*(2*c + 3*c - c - 1 - 3*c + 1 + (-2 - 3 + 4)*(-c + 0 + 0) - 3*c + 5*c - c).\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168) + (sqrt(168) - (sqrt(168) - sqrt(168)*2)*1))\/sqrt(8))\/((sqrt(21)\/sqrt(3)*-6 + sqrt(7))*-5)*-3.\nAnswer: -9*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 = -5*u + 4*q, -q = 5*u - 0*u - 325. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2166*q**4 - 298912*q**3\/3 - 3119224*q**2\/3 + 2494592*q + 1536 = 0. Calculate q.\nAnswer: -24, -2\/3249, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10448560 is divided by 2808.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/40*12*(-13)\/(-26).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 14*v**2 - v - 14. Let a be w(-14). Let x = -382 + 1200. Suppose 3*s - x - 46 = a. Calculate the highest common factor of 32 and s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260433 is divided by 843.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -32*d**2 + 983*d - 664. What is the remainder when -1*254*2\/(-4) is divided by s(30)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37800 rounded to the nearest one thousand?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**2 + 99*p + 1137. Give n(-11).\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33318*g + g**2 - g**2 - 13310*g**3 + 33318*g.\nAnswer: -13310*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g + 113. Is i(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-4 + 3)*-5 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549018 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 + 45*b - 312. Let p be h(6). Suppose 15*j**2 - 2*j**3 + 18*j**2 - p*j**2 + 2*j**3 + 3*j**3 = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 106*d + 164*d + 2 - 97*d to u*d + n and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 6) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(3\/9)\/1*-1. Suppose 23 = 4*t + r, -3*r + c*r + 29 = 5*t. Solve 4*d = -d + 4*a - t, -a = 2*d + 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5591 + -1147. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, e: 9}. Give prob of picking 2 e and 1 v.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 374\/2970*-6*(-30)\/(0 - 6)?\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -3*((-2 + sqrt(1088) - sqrt(1088)) + sqrt(1088)) + ((2*sqrt(1088) - sqrt(1088))*-4 - sqrt(1088)) + sqrt(1088))*1)**2.\nAnswer: -448*sqrt(17) + 53328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3)*v)**(-41)*(v**0*v)**(-4\/23) assuming v is positive.\nAnswer: v**(-1898\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eiyu when four letters picked without replacement from {i: 1, u: 11, e: 1, y: 4}.\nAnswer: 11\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 3:39 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -676 (c) 1.4 (d) 102 (e) -0.1 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23961919 is divided by 958476?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*m + 4232 = 95*m + 104*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g + 35. Let s be m(16). Let j be 4 - (-2 - s*22). Let d be -4*((-28)\/j)\/(-7). Which is the closest to 1? (a) -1\/5 (b) d (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 5*n + 3*b, 2*b + 0*b = -3*n + 47. Solve 3*h - 28 = -n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2664539*j**5 + 2*j**3 - 1581871*j?\nAnswer: -53290780*j**3 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.8 - -1.7. Let d be 3 + (-2 - -3) + -7. Which is greater: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 627 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1*x)**(2\/67)\/(x**(-1\/5)*x)**(2\/11) assuming x is positive.\nAnswer: x**(-316\/3685)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 5*y**2 - 4*y. Let k be i(2). What is g in 3*g**2 + k - g**2 - 3*g**2 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88\/(-14) + 1)\/(-28*(-5036)\/2352 - 60).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)*1*-3 + -2*sqrt(1836))\/((sqrt(30) + sqrt(30) + -1*sqrt(480))\/((sqrt(180)\/sqrt(3))\/sqrt(6))).\nAnswer: 15*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, 44, 91, 158, 251, 376?\n\"Answer: d**3 + d**2 + 23*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80\/3*i - 46\/9*i**2 + 2\/9*i**3 + 32 = 0. What is i?\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 14) + -1 + (-19 - 1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 168\/10*7\/63*30. Let a be (-16)\/12 - p\/21 - -6. Suppose -100\/7*g**4 + 1408\/7*g - 256\/7 + 880\/7*g**3 - 2256\/7*g**a = 0. Calculate g.\nAnswer: 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*f - 0*f. Let h be 100 + -2 + 3\/f. Let s = h + -44. Calculate the highest common divisor of s and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -391*h + 400*h = 1683. Which is bigger: 186 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 16389.51km?\nAnswer: 16389510000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -2, 148, 5, -1\/31?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 + -1 - (66 - 70)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31132 and 1376.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - -105. Let k = -88 + 92. Let x be (-13 - -2)*(-5)\/(k - -1). Calculate the highest common factor of x and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*w + 26602 = 26008 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v + 1. Calculate l(8).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = 2*p. Factor -4 + 4 + f + p*f**2 - f**5 - 2*f**4 + 0.\nAnswer: -f*(f - 1)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*y + 74 = -132. Put 3, -342, y in ascending order.\nAnswer: -342, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 191063119460914?\nAnswer: -191063119460914.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (897\/3588)\/(-1*(-3)\/924)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121312 is divided by 60643.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(700\/184)*(-65)\/(-156)*-6.\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211452 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18\/(4*((-9)\/(-8))\/3) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1618 is divided by 440.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 0.6 (b) -1\/2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 32*f**3 + 0*f + 0*f.\nAnswer: 32*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/12*(7776\/(-378) - -16)*(-6)\/7?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 2. Let m = 122 - 112. Let o be (105\/(-42))\/(m\/(-8)). Determine q(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1645\/4 at least 17091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 6:54 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 28 = l + 4*r, 32 = 5*l + 4*r. What is n in 3*n**2 - 5*n**2 + 2*n + l*n**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(35\/(-14)*8\/10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d + 4*d - 1 + 4*d. Let s be h(6). What is the second derivative of s*i - 2*i**4 - 6*i - 3*i**4 wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -16*y**3 + 3*y**2 + 5*y + 3. Let u be o(-2). Calculate the greatest common factor of 19 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 - 27*l**2 - 4*l + 235. Determine n(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 445 divided by -89.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 19436.5332ns?\nAnswer: 0.000000000032137125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2450960.0097 + -2450833. Let x = 0.2903 + o. Round x to the nearest integer.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 68*t + 1144. Determine m(-31).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -24, 1174, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 6 + (1 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0030147 rounded to 5 dps?\nAnswer: -0.00301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(80) + -2 - (sqrt(5) + sqrt(40)\/(-2*sqrt(8)))) + (1 + sqrt(80) - sqrt(80)) + 4*sqrt(10)\/sqrt(2).\nAnswer: -1 + 17*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*l - 3942 = -20*l + 93*l for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 r, and 1 t when four letters picked without replacement from ttxxrtxrxxxxtx.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -20435144 and -0.1?\nAnswer: 20435143.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1644885, -1644867, -1644853, -1644843, -1644837, -1644835, -1644837?\n\"Answer: -2*f**2 + 24*f - 1644907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16 + 1 - (19 + -17). Suppose 2*x - t = 9. What is the remainder when 47 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.6 - -10.4. Which is smaller: g or 7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90740.\nAnswer: 2, 5, 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -21, -26?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2\/7, 1, -34 in ascending order.\nAnswer: -34, -2\/7, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 44*s - 26. Let m be 156\/27 + (-4)\/(-18). Let g(u) = -159*u - 3 + 81*u + 83*u. Give m*z(x) - 52*g(x).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**2. Suppose -2*q = -7*q + 35. Let n(i) = i. Let m(v) = -2*v. Let o(x) = q*n(x) + 4*m(x). Calculate j(o(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 = 5*g + 4. Suppose -g + 5 = -5*t. Let m = 6476 - 6474. Solve m*a = -a + t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7782 and 9618.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17383 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2. Let z(c) = -3*c + c + 3*c + c. Calculate z(k(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y + 670 = 622. Suppose -6 = 2*x - 16. Let j(r) = -3*r - 2 - 3*r - x*r**2 + 2*r. Give j(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y + 534 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 460428 by -6.\nAnswer: -76738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*m**2 - 2*m**2 + 12*m**2 + (-3*m + 7*m - 3*m)*(2*m + m - 4*m).\nAnswer: 19*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 2*p - 37355, 3*z - 7*z + 5*p + 29884 = 0. Calculate the greatest common divisor of z and 241.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -9. Let q = n + -6. Let b = 11.000068 + q. Round b to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -363 + 0.0099?\nAnswer: -362.9901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 441598 - -1?\nAnswer: 441599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1050 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*c - 3. Let t = 6 - c. Solve -5*z - t = 22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**3\/3 + 7*u**2\/2 + 2*u - 2. What is v(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12, 145, 392, 747, 1204, 1757, 2400, 3127?\n\"Answer: -n**3 + 63*n**2 - 49*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (1 + -6 - -4). Let u(i) be the third derivative of i**4\/8 - i**3 + 6*i**2. What is u(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5304 and 815640.\nAnswer: 180256440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24973433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51493 - 23094. Suppose 30*g - 2*j = 33*g - d, 2*g = 2*j + 18946. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 461*g**2 + 2. Let q(x) = 565533*x - 1131072*x + 12*x**2 + 565539*x. Determine q(r(o)).\nAnswer: 2550252*o**4 + 22128*o**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 51?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -0.5. Let z be (0 + -1)\/(4\/(-20)). Suppose -15 = z*y - 10*y. Which is the third smallest value? (a) y (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (-3)\/(-30)*22. What is the nearest to 1 in -1\/2, 0.02, q?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, -7, -0.4 in ascending order.\nAnswer: -7, -0.4, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from {z: 1, e: 1, b: 1, l: 2, g: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w\/w**(-21\/4)*w)*w**(1\/17)\/w assuming w is positive.\nAnswer: w**(-557\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 6 = 3*p, 100*v - 5*p = 98*v + 36. Solve -v*d + 9 = m, -5*d + 3*m = 3 - 32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 83433 or 83429?\nAnswer: 83433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 22000001220201?\nAnswer: -22000001220212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/10797 and 121\/24?\nAnswer: 86376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 8 - 1)*(r - 4*r + 4*r)*(102 - 226 + 370) to o + k*r and give k.\nAnswer: -1968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, -2\/7, 4, -4, -3 in decreasing order.\nAnswer: 4, 1.5, -2\/7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78\/313 or 1?\nAnswer: -78\/313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3315168 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49 + -63 - -141) + (-100 - 1)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, u: 3}. What is prob of sequence uu?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -13*i - 3 + 2 + 4*i**2 + 1. Let v be w(-6). Suppose 5*k + 0*b = -b + v, 2*k + b - 87 = 0. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/187 + (-4912)\/(-880) + (-2)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*s**3 - 4*s + 56*s**2 - s - 31*s**2 - 60*s**3 - 25*s**2.\nAnswer: -s**3 - 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2*w + 71358, -59*w + 61*w = -12. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 84 = -1026. Let k = s - -104. Let n = k - -88. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 301 or 306?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**2 + 2*r + 4. Let f(a) = 19*a**2 - 7*a - 15. Let o(b) = -6*f(b) - 22*t(b). Give o(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -65, -153, -277, -437, -633?\nAnswer: -865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s**3 - 12*s**2. Let j(b) = 7*b**3 + 12*b**2. Suppose 3*y - 5*z + 18 = 0, 28 = -26*y + 30*y + 2*z. Give y*j(l) + 5*w(l).\nAnswer: -2*l**3 - 12*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.1, 2\/7, 1\/4?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*r - 9*r + 49*r + 802*r**2 - 20*r to the form l + b*r + s*r**2 and give s.\nAnswer: 802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2331 - -2335. Factor -8\/7*h**3 + 6\/7*h + 4\/7*h**2 + 2\/7*h**5 + 0*h**i - 4\/7.\nAnswer: 2*(h - 1)**3*(h + 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 3:55 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 7:25 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -815636 - 0.084691.\nAnswer: -815636.084691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-6) - -1*3. Suppose 2*m + l = 24. Solve m = 3*q - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 243 + -248 + ((-242)\/(-48) - -1). Let u(j) be the second derivative of 3*j + 0 + 1\/4*j**2 + y*j**4 + 5\/6*j**3. Factor u(f).\nAnswer: (5*f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -3)\/((-47)\/94). Solve 8 = m*w, s + 4*w + 16 = 7*w for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**8\/84 - 3*c**7\/70 + c**6\/12 + 7*c**5\/12 + c**4 + 2*c**3\/3 + 14*c**2 - 4. Determine j so that d(j) = 0.\nAnswer: -2, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*o = 1 - 2, 3*o = 5*j - 5. Suppose -24 = -2*d - j. Let u = -57 + 86. What is the remainder when u is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/12 and 91\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -6. Let k(t) = -2*t**2. Let d be k(1). Which is the biggest value? (a) m (b) -0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69716 = 3*d + 5*s, 4*d - s - 46237 = 46733. Is d a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 19 = 3*k, -2*i + 6*k + 31 = 29 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 819 = 5*z + 230, -3*z = s - 347. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 68*((7 - 5)\/4)\/1. Put k, 2\/13, -5, -3 in increasing order.\nAnswer: -5, -3, 2\/13, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*x - 11 = 0, -g + 5 = g + x. Suppose z - g = 2. List the prime factors of 51*(1 + z\/(-12)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/21))\/(b*b\/(b\/(b*b**(-3\/2))*b)) assuming b is positive.\nAnswer: b**(61\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142 (base 7) to base 6.\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 8:35 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1738337.5 and -0.5.\nAnswer: 869168.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/50 + 2 + (-11)\/5. Let t(v) = -v + 43. Calculate the remainder when 83 is divided by t(s).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 - (-17 + 38 + 0)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 n when four letters picked without replacement from yyinyiyyrnrin?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**15*o*o**(-17)*o*o*o**(-16)\/o*o**(-2\/85) assuming o is positive.\nAnswer: o**(-1362\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1818078948?\nAnswer: 2, 3, 7, 31, 33247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66 - -67. What is the smallest common multiple of 4\/(-8)*z - 33\/(-6) and 146?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 475*h**3 + 481*h**3 - 950*h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n + 4. Let a(p) = 6*p - 5. Let t(g) be the first derivative of g**2\/2 - 9*g + 13. Let j be t(13). Give j*r(q) + 3*a(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -141 + 223. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 17*s**3 + s**2 - 3*s - 3. Let d(j) = 17*j**3 - 4*j - 4. Give -3*d(f) + 4*q(f).\nAnswer: 17*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -17a0a0?\nAnswer: 17a0a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2241762896?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 17778 and 0.2.\nAnswer: 17778.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/10)\/(2\/(-10)). Determine a, given that -a**3 - h*a**3 + 16*a**2 - 16*a**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**2 - 7*o + 6. Let r(h) = 7*h**2 - 15*h + 13. Let d(q) = -2*r(q) + 5*x(q). Let z be d(5). Suppose -2*w + z = -4. Solve 0*j - w*j = -20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -294, -290, -284, -276, -266?\n\"Answer: s**2 + s - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.8 + -7.9. Which is the smallest value? (a) 2 (b) g (c) 0.2 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/11)*f)\/f**(-3\/7)*(f\/f**(2\/3))**35)\/((f**(-2)*f)\/f**(-2))**(-31) assuming f is positive.\nAnswer: f**(10144\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = -9415 + 9457 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 8 - ((6 + -13 - 0) + 12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.06609402.\nAnswer: -0.006609402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2320 + 25494\/11. Let u = 147\/37 + -1891\/1221. Find the common denominator of u and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((-1 - (25 - (-10 - -8))) + 6).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/170 and 74\/15?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 9405850 to the nearest one hundred thousand.\nAnswer: 9400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1570\/18 + (-4)\/18. Let f = -26 + y. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14873233?\nAnswer: 643, 23131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7*201.\nAnswer: 341.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y + 1. Let b(v) = -v**2 - 2*v + 2. Let x be b(-2). Suppose -37 = -x*p - 5*l, p + 0*l - l = 1. Let g(i) = -7 - 3*i + 6 + i. What is p*g(d) + 7*m(d)?\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + ((sqrt(2736)*2)**2 + -5 - -1*(sqrt(2736) - (0 + sqrt(2736) + sqrt(2736)))**2)).\nAnswer: 54688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4357 a factor of 219244240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.153 - 0.653. Let z = 40 - 119\/3. Sort z, q, 1 in increasing order.\nAnswer: q, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-11)\/p*p*p*p\/p**(-6))\/((p\/((p**9\/p)\/p))\/((p\/(p*p**(2\/13)*p*p)*p*p)\/p)))**(-21) assuming p is positive.\nAnswer: p**(-504\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.094, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 383 - 380. Let x be ((-2)\/5)\/(j\/(-90)). Let k = 7 + -4. Solve k*r + r = x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 868\/(-62)*((-66)\/(-66))\/(2\/(-6))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811 a factor of 479463770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 13, -5, 0.5, 0.4, 2570 in ascending order.\nAnswer: -5, 0.4, 0.5, 5, 13, 2570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*a**3 + a**3 + 163*a**2 + a - 318*a**2 + 172*a**2 + 1 in the form w*a**3 + j + t*a + x*a**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j - 29*j - 8 = 4*o, -j + 2 = 2*o. Let x = 14 + 2. Suppose v + x = -4*g, -2*v + 3*g = -19 - 4. Solve -v*u + o = -5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6464 and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -65*w**2. Let i(t) = 7*t. Let h(f) = -4*f. Let j(u) = -5*h(u) - 3*i(u). What is j(a(c))?\nAnswer: 65*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 67039 (base 13) to base 15\nAnswer: 3a52d","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 335.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2449, 4899, 7351, 9805, 12261?\nAnswer: 14719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -474, 0, 453, 1 in descending order.\nAnswer: 453, 1, 0, -474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 666181 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1251*y + 1350 = 2955 - 126705 for y.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**6\/360 + l**4\/6 + l. Let y(f) be the third derivative of b(f). Let i(w) = -2*w. Calculate y(i(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -204\/73 or -0.1?\nAnswer: -204\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*r**5 - 37*r**3 + 15*r**2 + 19258*r - 7?\nAnswer: -280*r**3 - 222*r + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2558*v = 8*k + 2554*v, 7*k - 5*k = -2*v + 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 119784925 to the nearest one hundred thousand.\nAnswer: 119800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3877 a factor of 1300261338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54130 - 0?\nAnswer: 54130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6206874536?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*s - 569 = 821, 0 = 3*d + s - 833. What is the remainder when d is divided by 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.35933 grams in nanograms?\nAnswer: 6359330000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 257, -3, 25.\nAnswer: -3, 1, 25, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4 + (-1593)\/396)*25 and -17\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70868 is divided by 35015.\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 0*f**2 + 6*f**2 + 8*f - 8 + 1 - 2*f**2 - f**3. Let k = 12 + -5. Calculate the remainder when j(3) is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -94, -368, -828, -1474, -2306, -3324?\n\"Answer: -93*x**2 + 5*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 minutes after 11:23 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 - d**2 - 4*d**2)*(-3*d**3 - 1 + 4 + 2*d**3).\nAnswer: 5*d**5 - 15*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.055 + -493.055. Let g = 491.9999052 + k. What is g rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -4 - 3) + 0 + (18 - (-40 + 15))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 + 30*k + 4. Suppose 33 = 3*l + 3*y, 3*l + 2*y = -0*l + 34. What is the remainder when g(l) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -11. Let j = 7 + i. Calculate the remainder when 34 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**5 + 3456*r**4 + 743012*r**3 - 1513736*r**2 - 2972112*r + 5999648 = 0. Calculate r.\nAnswer: -433, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16128\/(-1152))\/((-33)\/(-9)).\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from {d: 3, e: 4}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 23 + 54*p - 12.\nAnswer: 54*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from giieiebiingeieve. What is prob of picking 1 v and 1 n?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 - 52. Differentiate -20 + 22 + 164*p - 66*p - 182 - c*p with respect to p.\nAnswer: 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/40)\/(((-903)\/1008)\/43*(-30)\/415)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2756 divided by 212\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 8*f**2 + 2*f - 1. Let a be x(7). Let j = a - -16. Does 19 divide (j\/15)\/(3\/(-72))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 12:45 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9229799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 + d**2 + 2*d**2 + (-121 + 121 + 64*d)*(0*d + d - 2*d).\nAnswer: -62*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 163 - 167. Let c(l) = 9*l**2 - 14*l - 9. Is c(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*1\/3 + -3. Let j(y) = 2*y**3 - 2*y**2 + y - 3. Let d(p) = -5*p**3 + 6*p**2 - 3*p + 8. Determine a*d(b) - 8*j(b).\nAnswer: -b**3 - 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35617150 and 1016?\nAnswer: 142468600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - 43. Let p = 8.25 - 8. Is l at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k - 9*k**2 + k**3 + 19*k**2 - k**3 - 2*k - 2*k**4 to the form q + c*k**2 + h*k**4 + l*k + g*k**3 and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.01 (b) 0.5 (c) 4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 1 = -3*s, 9 = -3*c + 3*s - 12. Let n(q) = q**3 + q**2 - q - 1. Let r be n(c). Let u = 76 + r. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3658 + -40292\/11. Find the common denominator of -55\/14 and j.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138*t**2 + 146*t**2 + 47 - 46)*(3*t - 4*t + 0*t).\nAnswer: -8*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3\/5 + 36*o**2\/5 + 2*o\/5 - 36\/5 = 0 for o.\nAnswer: -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((2 + ((sqrt(425) + -2)*-5 + sqrt(425) + sqrt(425) - sqrt(425)))*-1)**2.\nAnswer: -480*sqrt(17) + 6946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -28*(-39)\/(-4732)*-13\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**3\/3 - 4*p**2 + 20*p + 17. Let l be y(-10). Let v(h) = h**3 + h**2 + 41. Is 16 a factor of v(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**4\/5 + 86*g**3\/5 + 1284*g**2\/5 + 7848*g\/5 + 16848\/5 = 0?\nAnswer: -18, -13, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 18*j**2 - 752*j - 477. Give t(39).\nAnswer: 2136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b + 4. Let c be q(7). Calculate the smallest common multiple of (-2)\/6 + (-56)\/c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 12 = -2*o, 3*o + 68 = -5*h. What is the units digit of ((-3)\/6 - 0)*h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l - 22 = 9*l. Suppose 0 = 3*r - 12 - 0. Suppose -6 = 5*g + r. Put -3, l, g in decreasing order.\nAnswer: l, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.61 and 99?\nAnswer: 101.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 599 = -5*w, 3*w - 4*s = 5 + 344. Suppose 2*f + 35 + 125 = 4*m, -w = -3*m + 2*f. Does 24 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6 + 3\/108*-2.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -134*s**5 + 1212*s**2 + 1381*s. What is the derivative of t(f) wrt f?\nAnswer: -8040*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25426725 (base 8) in base 14?\nAnswer: -a70365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 7:21 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -378 - -455. Which is greater: -0.2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3 - 13 = -v, -8 = -3*v - b. Suppose 0*m - v*k = 5*m - 236, 0 = 3*m + 4*k - 150. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r. Let n(k) = -3*k - 4. Suppose 0 = -f + 4*l - 5, -3359*l + 9 = -4*f - 3354*l. Give f*n(x) + 4*v(x).\nAnswer: -x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 5, -3\/5, -3, -761.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/19308 and -19\/101367.\nAnswer: 405468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 5:22 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 570368 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 37\/2 of a micrometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -92329473 times 0.5\nAnswer: -46164736.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -380763633.99999976 + 380763649. Let i = m - 15. Round i to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.67 + 2.03. Let q = d - 3. Suppose 7*t + 86 - 114 = 0. What is the closest to 11 in 2, t, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26771\/2 + 15128. Let y = 1787 - a. Let t = 12963\/5 + -2581. Calculate the common denominator of t and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2873, 2877, 2881, 2885?\nAnswer: 2889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-9)*(5 + -2). Suppose u*h + 3*h = 10. What is the derivative of -2*v**2 - 27 - v**h + 25 wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34340 (base 5) to base 14.\nAnswer: -c86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -95*g**3 - g - 2. Is 34 a factor of u(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*s + c + 8, 4*s - 12 = 5*c. Solve 3*m = -2*i + 13, -5*i - s = -m - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5 + (-2*sqrt(13) - sqrt(13)) - sqrt(143)\/(sqrt(44)\/sqrt(4))*2)**2.\nAnswer: -80*sqrt(13) + 389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.23 + 42.23. Let t = x - 42.000029. What is t rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99 or 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 100 = 10*a. What is the hundreds digit of a + (3 + 226 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5dbb - a19?\nAnswer: -68d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/7210705 and -131\/129340.\nAnswer: 28842820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 993105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + 2*p - 5*p)*(-1 + p**4 + 1 + (-4*p + 2*p + p)*(2*p**3 - 6*p**3 + 2*p**3) + 4*p**2 - 4*p**2 + p**4 - 74*p**2 - 29*p**4 + 74*p**2).\nAnswer: -25*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311*x**2 - 368*x**2 + 51*x**2.\nAnswer: -628*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31934821 by -1.\nAnswer: 31934821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 4. Let d(q) = -7*q**3 - q**2. Let s be d(-1). Let j = s - k. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -197 divided by -94039?\nAnswer: 197\/94039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -15) + (-48 - -124)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 260? (a) -23\/2 (b) 0.3 (c) 2\/7 (d) 2\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25012 and 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - n = n + 9, 0 = 5*o + 3*n + 14. Let f be o + ((-810)\/184)\/(-5). Let l = 4747\/460 + f. Calculate the common denominator of 53\/4 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-630)\/68)*-12. Let v = -234 - -3497\/15. Let l = v + h. Which is smaller: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1672)\/(-15884))\/((-16)\/126*3 + 10\/(-35))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 6:21 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -172*c*i**3*s**2 + 456*c*i**3 - 271*c + 3380*i**2*s**2 wrt s?\nAnswer: -344*c*i**3*s + 6760*i**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 32 = 3*i. What is the smallest common multiple of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (4 - (11 + 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 2:20 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2818, 11282, 25398, 45172, 70610, 101718?\n\"Answer: w**3 + 2820*w**2 - 3*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1097699?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 u when three letters picked without replacement from uaaua?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934359 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (0 - (5 + -15))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 28. Let y be z(0). Suppose 221*x + 326*x - 113484 = -32*x. What is the greatest common divisor of y and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 921 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/5 (b) 10\/49 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30384799 is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 14322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(3 + -2)*-30. Calculate the highest common factor of 75 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18073052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((4\/(-16))\/((-2)\/80))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -n - 4*v + 32, -2*n = -2*v - 72. Suppose 0 = -u - 4*u + 420. Suppose -3*b - b = -u. Calculate the remainder when n is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k - 56*k + 20*k.\nAnswer: -50*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, f: 3, p: 1, m: 5, g: 5}. Give prob of sequence qqgf.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*(sqrt(176) + (0 + sqrt(176))*-1 - -3*sqrt(176)*4)**2*-6*1.\nAnswer: 152066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -127699\/20 + 6389. Calculate the common denominator of -83\/22 and m.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.02 - 0.94. Which is greater: l or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1956c (base 13) in base 5?\nAnswer: -3034034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1135 divide 21998953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1544 - 396. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7570 - -11722. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from gghhghhbcvgvv.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 + 30*a + 92. Give i(-4).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 520\/(-1300) - (2\/(-8) + 97\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 16 = 5*s, -4*s + 0 + 8 = -4*j. Which is the closest to -0.1? (a) j (b) -6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6156 and 2508.\nAnswer: 67716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -937851, -937860, -937869, -937878, -937887, -937896?\n\"Answer: -9*p - 937842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(156) + sqrt(156))\/sqrt(12)*1.\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 43.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + k + 17. Let s(c) = 7*c**3 + 4*c**2 - 5*c + 4. What is the remainder when s(2) is divided by t(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18680 divided by 4670.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5))\/(135\/(-150))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10, 38, 92, 178, 302, 470, 688?\n\"Answer: l**3 + 7*l**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196\/(426\/(-12) - (-219 - -180)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -3*y**6\/40 + 161*y**5\/30 + 2941*y**4\/8 + y**3\/3 - y**2 + 360*y - 3. Find the second derivative of k(u) wrt u.\nAnswer: -54*u + 644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 129 - 126. Put -5, m, 10 in descending order.\nAnswer: 10, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from prvhs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 17*p**2 + p + 17. Let r be x(-17). Let l be (4\/5)\/(2\/5). Sort r, l, -2.\nAnswer: -2, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/570*13680\/(-96).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(-31)\/(o**5\/(o*o*o**2)) assuming o is positive.\nAnswer: o**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 102033250 (base 6) to base 16\nAnswer: 1b1f9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10840 + 10863. Solve j = 23*s - 115 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4686, 9365, 14040, 18711, 23378?\n\"Answer: -2*g**2 + 4685*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10461107 rounded to the nearest one hundred thousand?\nAnswer: 10500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 222907*f - 636224.\nAnswer: 222907","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/35 - 188\/14. Let w = -10 - r. Solve o + 8 = -3*o - 4*n, -5*o + 2*n = w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15194 + -2?\nAnswer: -15196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (43596\/105)\/(2\/(-20)*-4) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139266679.\nAnswer: 23, 1223, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3469519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0437 + 1.41304. Let p = u - 1.6196. Let o = p + 0.25. What is o rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**5 - 2*z**5 + 2*z**5)*(1 + 1 - 1) + (-2*z**5 - 3*z + 3*z)*(-4 + 0 + 2) - 55*z**5 - 314*z + 314*z.\nAnswer: -53*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p - 2*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*y**2 + 30 - 5*y - 91 + 26 - 3*y**3 - 3*y**2 + 33 to a*y**3 + r*y**2 + n*y + c and give r.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m - 27*m - 29 = p, -43 = 2*p + 3*m. Let j(c) = -c - 9. What is the remainder when 129 is divided by j(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -9 + (-13 - -15).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/11)\/(p**(-3\/13)*p*p*p))**(7\/8) assuming p is positive.\nAnswer: p**(-1295\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(675) + (sqrt(675) + 0 + sqrt(675))**2 + 1.\nAnswer: 15*sqrt(3) + 2701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -5\/8 (b) -14\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 22 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrrtetxttfrtrrfxt. Give prob of picking 1 r, 1 x, and 1 m.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1509584 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 10 = 34. Suppose x + 0 - 1 = 0. Solve 2 = v*p - x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 229 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 3*w - 29, -5*w - 33*a = -35*a - 7. Let x = -15 + 9. What is the closest to w in x, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 3:04 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 943*b**2 + 6*b + 6. What is the tens digit of d(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2350656 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -11275612 smaller than -11275614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -69*o**3 + 7*o + 15. Let v(y) = -35*y**3 + 4*y + 7. Let x(f) = 4*s(f) - 7*v(f). What is the first derivative of x(n) wrt n?\nAnswer: -93*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 2:13 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from vxxqqqqvvv?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004707301653 rounded to 4 decimal places?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -9*(-13)\/(-117)*-3567?\nAnswer: 3, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2923986 * 4.\nAnswer: 11695944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 705.0822 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/8 - 315*x\/8 + 309\/4.\nAnswer: 3*(x - 103)*(x - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 936 a factor of 4302792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*y - 26 = 0, 0*m - 4*y + 24 = -4*m. Calculate the common denominator of m and 47\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52334201 (base 7) in base 12?\nAnswer: -1589378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143104104 (base 5) to base 11.\nAnswer: -475260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggz when three letters picked without replacement from iggizgzzzzzcgcgciu.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i - 2. Let s be y(-2). Let d be (1 - 45\/25)*10. Let b = s - d. Solve -2*q + 20 = b*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*y + 24 = 6*q - 3*q + 84*y, 4*q + 24 = 3*y for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 5:48 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 - 58. Let l be (22\/(-5))\/(1\/(-5)). Solve 5*z - l = 2*v, 2*v = -g*z + v + 11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2, -2\/15, -5, -1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, c: 13}. What is prob of sequence hc?\nAnswer: 13\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12127, -12511, -12895?\n\"Answer: -384*x - 11743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 5:01 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 150 = 292*q - 287*q, 17*o = -5*q + 532 for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 187.82 to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (21\/(-117))\/(-1) - (8 + (-424)\/52). Which is the second biggest value? (a) s (b) 4 (c) -415\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-50)\/(-20)*12\/10 + 2. Solve 1 = 3*f - y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/10 and -43\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-33) - (-136)\/22.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -0*i + 5*i. Let w = 68350 + -68356. Suppose 2*f = -2*c, 3*f - 5*c + 0 + 40 = 0. Sort w, f, i.\nAnswer: w, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6621596 litres in millilitres?\nAnswer: 662.1596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z. Let w(i) = -i + 7*i + 0*i. Let v(d) = -4*q(d) + w(d). Let p(f) = f - 1. Let h(u) = -u + 2. Let m(j) = 3*h(j) + 6*p(j). What is v(m(c))?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 6*c - 17. Give h(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4451 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -191056 divided by -8\nAnswer: 23882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = g - 2*m, 7*g + 10*g - 177*m + 172*m = g + 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 13586916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**2 - 1 + 2*a**2 - a**2 - 24*a.\nAnswer: 10*a**2 - 24*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0952 and -1659.60055.\nAnswer: -1659.50535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7)*(i\/(i\/(i\/(i**7*i)))*i)\/i)**(-41) assuming i is positive.\nAnswer: i**(1927\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5752.\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - 2)*(4*v - 2*v + 2*v) + 0*v - 4*v + 2*v + 0*v + 3*v - 2*v + (5 - 1 - 3)*(-4 + 4 - v) to c + a*v and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 141097 and 27775.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -181, -256, -329, -400, -469?\nAnswer: -536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 0) + -11 - (6 - (-5 + 1))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 - 1) + (72 - -7 - 55)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/(3 - 16\/6)*3. Suppose i*w - 4536 = 109*w. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 5*c + 31. Let z(u) = u**3 - 4*u**2 + 3*u - 5. Let r be z(2). Calculate the common denominator of c\/r*1\/(-8) and -95\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1113 - 1037. Calculate the highest common factor of o and 494.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 11*i - 8. Let c(s) = -s. Let u(x) = -4*c(x) - q(x). Let m(l) = -l + 1. Let h(p) = -6*m(p) + u(p). Let z be h(0). Solve -w = z - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2) + -1 + 70\/20. Solve v - 4*k - 20 = d*v, 5*v + 2*k + 26 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.411672nm in centimeters?\nAnswer: 0.0000008411672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5457, -43598, -147121, -348720, -681089, -1176922, -1868913?\n\"Answer: -5449*f**3 + 3*f**2 - 7*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 8:26 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2. Let v(f) = -f**3 - 6*f**2 + 6*f - 7. Let z be v(-7). Let d(x) = 4*x + 0 + z. Give n(d(y)).\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 46207840 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 228821 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/3*-7 - -3. Which is the smallest value? (a) g (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45419.2956 minutes in weeks?\nAnswer: 4.5058825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 4. Let q = 15 + -11. Suppose r*j = -3*b + 101, q*b - 8*b + 5*j = -104. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 5*l - 1, 3*c = 6*c + l - 8. Solve c*b - 3 = 3*x - 0*x, -2*b + 14 = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*(sqrt(288) + 2 + sqrt(288)) + (-1 + sqrt(288))*-3 - (4 + (3 + sqrt(288)*-1 - (-5 + sqrt(288)*-1))**2)).\nAnswer: -64 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + (-5)\/2 + 1)*6. Suppose -6*b = -b + m*b. Let w be 10\/5 + 1 + b. Solve -8 - 4 = -w*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202401083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 56\/19489 or -1?\nAnswer: 56\/19489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (85 - -11 - (-22 + -4 + -5 + 20))?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 4. Let a = 5 + -13\/3. Let b(z) = z**2 - 10*z + 15. Let v be b(8). What is the nearest to v in -3\/2, d, a?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 2:37 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9427)\/88 + (-1027 + 1017)\/((-32)\/(-6)).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 4:43 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 0*r**2 + 0*r**2)*(-1 + 1 + 1).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.063 in -0.6, -0.2, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12 + 1 - (35 + -45). What is the fourth smallest value in g, 652, 2\/9, 4?\nAnswer: 652","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - m + 4467 = 0, -2574*f = -2575*f - 5*m - 2272. Which is smaller: f or -2234?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 2\/43, -0.2, 2\/3 in descending order.\nAnswer: 2\/3, 2\/43, -0.2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z - 279840000 = 10*z. Suppose -151*u - z = -157*u. Round u to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -196302 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 311 - 311. Suppose 4*z + k*z - 5*r - 3465 = 0, -5*z = 4*r - 4280. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.194517 minutes to seconds.\nAnswer: 11.67102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 224812820.\nAnswer: 899251280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**3 + 24*s**2 + 117*s + 2186. Find g such that o(g) = 0.\nAnswer: -13, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2513 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 23 = 22. Let w = -11 + v. Suppose -21 = d - 7*s + 3*s, -w*s + 31 = -3*d. Sort 4, -2, d in ascending order.\nAnswer: d, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -12.3.\nAnswer: 2.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49 (base 10) to base 7.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/u**41)\/u))**(-7)*(u*u**(-2\/95))**23 assuming u is positive.\nAnswer: u**(-25791\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 8 + 50)*(2 - 2 + 2)*(0*c**4 + 5*c**4 - 4*c**4).\nAnswer: 114*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 148354162 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.451*0.0367.\nAnswer: 0.2734517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -3*t - 2*t - 20, 4*g + t = -10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 180, 284?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k - 9. Let p be q(-12). Let m = -2257\/6 - -22231\/60. Find the common denominator of m and ((-44)\/p)\/(20\/(-12)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -304 + 202. Let k be f\/4*(-32)\/48. Solve 5*b = -3 - k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**3*l**3 - 319*g**3*l - 5*g**2*l**3 - 3*g**2 - l wrt g.\nAnswer: 6*l**3 - 1914*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-352)\/112*49\/(-14). Solve -m + c = -3*l, 5*m + 0 = 10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 + 2 + 1 + 3 + 3*h**2 + 2.\nAnswer: 5*h**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**4\/12 + f**3\/2 + 2*f**2 - 2*f. Let b be m(4). Let u = 87\/5 + -17. Sort u, 1\/4, b in descending order.\nAnswer: u, 1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z**2. Let o(d) = 3*d**2 + 32*d - 5. Determine o(k(b)).\nAnswer: 108*b**4 - 192*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 5461118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 283621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -31*r - 44. Let n be f(-8). What is the greatest common divisor of 132 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -v + 7*v. Let f(k) = -5*k - 3*k + 4*k + v*k. Let u(s) = -3*s + s - 5*s. Calculate f(u(x)).\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 1\/25 (c) 0.2 (d) 5 (e) 25\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22445418?\nAnswer: 2, 3, 3740903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.59 and 0.04?\nAnswer: -0.5436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (-49 - (-4 - -2)). Let l = 427 - 355. What is the highest common factor of l and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvpvdvpivwvv. What is prob of sequence vvpw?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.6 - 9. Which is the nearest to 1\/2? (a) -4 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9*(-253 - 100\/10). Let y = -5 - -9. Find the third derivative of 33*a**2 - 2367*a**y + m*a**4 - 15*a**5 wrt a.\nAnswer: -900*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/((-1)\/4*-2))\/(-2). Suppose 2*i - 8 = -2*g, 3*i + s = 5*i. Suppose -2*t + 3*d = -166, -2*t = g*t + 3*d - 394. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.02 (b) 3\/14 (c) -0.019\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.14, 1.4, 38, 0.1?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 0. Which is the second biggest value? (a) -1\/8 (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/33 and -55\/333.\nAnswer: 3663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110266400 and 55133200.\nAnswer: 110266400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 94340 (base 13) in base 3?\nAnswer: 111112102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 1163028729.76?\nAnswer: 1163028728.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/1*-2 - (26 - (-1432)\/(-42)). Factor 0 - b*v**2 - 2\/3*v.\nAnswer: -2*v*(v + 7)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 195750181 to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 5*r**3\/3 + r**2 - 5*r + 2. Suppose -8*x + 5*x - 18 = 0. Is u(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2957*t - 8829*t + 2916*t + 2963*t.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m + 9*m - 4*m.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -20*y**3\/3 + 9*y**2 + 2*y - 192. Factor r(i).\nAnswer: -2*(i - 1)*(10*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)*s)**(-2\/41) assuming s is positive.\nAnswer: s**(4\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -151 + 139. Sort 1, -1, z, 2 in decreasing order.\nAnswer: z, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*n - 233 = 28. Let q(m) = 4*m**2 - 3*m - 5. Let y(o) = -7*o**2 + 5*o + 9. Let u(k) = 5*q(k) + 3*y(k). What is u(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*s - 97*s + 856*s.\nAnswer: 809*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 12*d - 3. Let f be x(-13). Find the common denominator of -51\/2 and 0 + 58\/f - 27\/18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/19)\/j)**(-45)*(j**(-5\/3)*j)\/j*j*j\/j**(-2\/11))**(4\/5) assuming j is positive.\nAnswer: j**(126032\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1479, 5993, 13517, 24051, 37595, 54149?\nAnswer: 73713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3444 + -3441. Which is the nearest to i? (a) 11.6 (b) -0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/3)\/(18\/189) + -1. Suppose 2*n = y*n + 20, 3*m + 2*n - 80 = 0. What is the hundreds digit of (-7)\/((-84)\/100)*m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 - 2*j**2 - 2*j**3 - 50*j**2 + 58*j**2.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1675321.\nAnswer: 1675321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210202 + 0?\nAnswer: 1210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3)*c**2*(c**(-2\/3)\/c)**(-48) assuming c is positive.\nAnswer: c**79","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73*c**6 - c**4 - 1134*c**2 wrt c.\nAnswer: -8760*c**3 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4 = j - s, s = 5*j - 48. Suppose j*o - o - 45 = 0. Suppose 0*b - o = -b. Solve b*l = 5*k, -6*l - 5*k = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -10. Let b be ((-6)\/10)\/(x\/15). Solve -f = b*f + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 692.504m to micrometers.\nAnswer: 692504000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkgbbbvbngkbekbbbb. Give prob of picking 1 e, 1 v, and 1 k.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 7, 28, -3, -2 in ascending order.\nAnswer: -20, -3, -2, 7, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9945500*f**3 + 8692003?\nAnswer: 29836500*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4117046 or -4117047?\nAnswer: -4117046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(1 - -2 - 1). What is the remainder when -2 - 469\/14*(1 - l) is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (5 - -1))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27724948 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23998\/7 or 3427?\nAnswer: 23998\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 441*f**5\/5 + 4711*f**4\/5 + 2467*f**3 + 1393*f**2 + 1384*f\/5 + 84\/5 = 0. Calculate f.\nAnswer: -7, -3, -2\/7, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 26*t**2 + 11*t + 42. Let b(c) = -71*c**2 - 36*c - 126. What is 4*b(m) + 11*z(m)?\nAnswer: 2*m**2 - 23*m - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/5 + 12*g\/5 - 36974\/5.\nAnswer: 2*(g - 133)*(g + 139)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -1.3. Let u(j) be the first derivative of -j**2\/2 - 12*j - 9. Let f be u(-10). Which is the closest to 2? (a) f (b) -1\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100110001111 + 101?\nAnswer: -100100110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 10) in base 6?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 16 = -3*s, 0 = 127*p - 130*p - s + 16. Put -3, 2, -23, p in increasing order.\nAnswer: -23, -3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/10)\/(162\/6)*810\/108.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**4\/7 - 786*z**3\/7 + 2396*z**2\/7 + 7920*z\/7 = 0.\nAnswer: -396, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**3\/3 + 3*x**2\/2 - x. Let a be c(-3). Let w(n) = n**2 + 7*n + 4. What is w(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6410 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/18 - (500\/(-45) + 6). Let u = -35 - -45. Let s be (2 - (0 + 1))*0. Solve s*d - p*d = u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122899245, -122899242, -122899237, -122899230, -122899221, -122899210?\nAnswer: -122899197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (10 - 14) - (-34 + 10)) + -131?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3410, -33, -59 in descending order.\nAnswer: 3410, 3, -33, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -66 and -2.67017?\nAnswer: 176.23122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5064155014 + -3?\nAnswer: 5064155011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**2 - 7384*g + 517716 = 0.\nAnswer: 73, 1773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - k**2 + 2*k - 3. Suppose 3*x = 3*f, 6*f - 3*f - 3 = 4*x. Let n be l(f). Let h(d) = 6*d**2 + 61*d + 13. Let r be h(-10). Is n != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 31471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 9:10 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 48831739.\nAnswer: 1\/48831739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1)\/(5*(-8)\/100).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6342.82318 - 6342. What is r rounded to three dps?\nAnswer: 0.823","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/15852681 and -59\/368667.\nAnswer: 15852681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-5))\/(335\/166 + -2). Let o = 34 + p. Which is the second biggest value? (a) -0.2 (b) o (c) -1 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 5. Let w be p(-2). Suppose -4*k + 7 = w. Is 10\/9 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 + -2.68. Let o = -0.08 - r. Let b = 48 + -47.8. Are b and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003010677 to seven decimal places.\nAnswer: -0.0003011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28382579 is divided by 31?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -78382598144*p**2 - 105659742298112*p - 2\/5*p**5 - 284858665235709952\/5 - 5392*p**4 - 29073664*p**3.\nAnswer: -2*(p + 2696)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 - 3*z. Let b(g) = 2*g - 2. Let c be b(2). Let k be s(c). Solve -5*d = k*j + 24, -2*d - 4 = j - 3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 2\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.00214 - -1. Round d to four decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/(-273) - 1304\/(-26). Let y = n - -52. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90 - -90.06. Which is the nearest to -1? (a) m (b) 2\/7 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 944 is divided by 155.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 54947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 0*d**3 - 3 - 6*d**2 - 2*d + 8*d - d**3. Let t be h(-7). Suppose z + 19 = t*x, x - 7 = 3*x + 5*z. Solve x*f = 3*k - 1, 0*f + f + 1 = k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2*-1*(-787 + -69). Suppose -367 = -5*g + z. Does 32 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 17 - 16 + (3 - 2 - 2)*(-8 - 2 + 13))*(-11*h**2 - 7*h**2 + 4*h**2).\nAnswer: 406*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*j, -t + 6*t = -5*j - 220. Let h = -6478 + 6441. Let u = h - t. What is the greatest common factor of 6 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 - 53*q + 243. Calculate the remainder when p(-30) is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 0. Let s be (2*(1 - 2))\/(4\/(-10)). Suppose -s = 4*q + q. Sort q, -3, c in ascending order.\nAnswer: -3, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11 + (18927\/(-1701) - (-4)\/7). Factor -4\/9*b**2 - o*b**3 + 2\/9*b + 2\/9*b**5 + 2\/9 + 2\/9*b**4.\nAnswer: 2*(b - 1)**2*(b + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153181 = -4*u - j, 9718*u - j = 9716*u + 76577. What is the thousands digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 + 24 - 32 = -7*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*p + 20*p - 7135875 = -90*p. Calculate the remainder when p is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.1, -2381, -4\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.1 and 0.17.\nAnswer: -0.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.02, -5, 2\/29, 3, -0.03 in descending order.\nAnswer: 3, 0.2, 2\/29, 0.02, -0.03, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**8)\/l**(-12) assuming l is positive.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (32\/6)\/((-2)\/36). Find the common denominator of (-762)\/9*1\/(-12) and (10\/x)\/((-1)\/33).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19099*h = -468822 + 801 - 257741 for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-9) - (-40)\/6. Solve -2 = 6*z - w*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 568 = -332. Let k be 85\/d + 2\/8. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 4 - (-9)\/(-27)*9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 + 18 = 2*n, -2*n = -4*m - 20. Suppose 3*g = -12, 0 = 5*u + n*g + 6 - 175. Calculate the remainder when 73 is divided by u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5071590 divided by 2535795\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -0.074181146419041.\nAnswer: 4.925818853580959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1001 + -366. Suppose -3*l - 4*v = -s + 17, -4*v = 5*l - 1030. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3062*l**4 - l**2 + 3387*l.\nAnswer: 73488*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4566, -4565, -4564?\nAnswer: -4563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 22670949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {d: 3, k: 4, y: 6, j: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 91107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 84514381 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-2) + (-1)\/(-2). Suppose 2*i - 3*i = 2*g - l, i = -g. Suppose -g*s = t - 293, -3*s = 3*t - 2*s - 879. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**19)**(14\/11) assuming f is positive.\nAnswer: f**(266\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjxujujjjjxjj. What is prob of picking 2 u and 2 j?\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 + 12*z**2 + z + 39. Let s be f(6). Let o = s + -29. Solve 2*t = 6*t - o, -4*m - t = 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -26\/23 (b) 1\/3 (c) -2\/7 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 + 0*r**2 - r**2 + (2*r + 2 - 2)*(-2*r + 4 - 4) + (3*r + r - 3*r)*(0 - r + 0) to d + v*r**2 + g*r and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 32378.\nAnswer: 64756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*w = 8*g - 5, 0 = -4*w - 4. Suppose 5*p - 9*p = -688. Suppose g = s + 3*s - p. What are the prime factors of s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 493 (b) 1\/3 (c) 0.5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8\/13 (b) 5 (c) 425\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -37. Let o(y) = -5*y**2 + 1. Let m be o(1). What are the prime factors of 12\/h*(-78)\/m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (124296\/28*7\/4)\/(25\/(-50)). Is -15537 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22, -465, -908, -1351?\n\"Answer: -443*z + 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -13*q**6\/360 + 11*q**4\/24 + 3*q**3 + 1. Let b(j) be the third derivative of p(j). Differentiate b(r) wrt r.\nAnswer: -26*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12036?\nAnswer: 2, 3, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*m**3 + 3*m**5 - 18*m**3)*(1 + 1 - 3) + 10*m**5 + 14*m**5 - 26*m**5.\nAnswer: -5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18681 - 7593. What is x rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*p**2 + 3*p**2 - 5*p**2)*(2*p + p + 2*p) + (-4 + 16 + 3)*(p**3 - p**3 + 3*p**3) to the form s*p**2 + l + m*p**3 + y*p and give m.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(3\/(60 - 6)). Suppose 0 = q - 3 - 1. What is the greatest common divisor of q and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1512 (base 6) in base 3?\nAnswer: -112222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 73 = 78 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -26*s + 146. Let y be m(6). Let h(x) = x - 1. Let d be (4\/6)\/(4\/18). Let j be h(d). Which is the second biggest value? (a) y (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(300)*-6)\/(sqrt(5) + sqrt(60)\/(sqrt(36)\/sqrt(3))))\/((sqrt(12) - (sqrt(12) + sqrt(768)*-3)) + 3*sqrt(768)).\nAnswer: -sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 2:24 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 955 + -950. Which is the nearest to 0.9? (a) -5 (b) -1 (c) z (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.45 (b) 1\/3 (c) -19589\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/108*30\/100*(54\/(-3))\/(-3).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -534*x + 2*o + 4636 = -538*x, -2*x - 2318 = 2*o. Which is bigger: 1\/7 or x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6902 + 10*u - 6902)*(6*u - 13*u - 5*u)*(3 - 3 + 2*u + 0*u - u - u + (6*u - 4*u + 0*u)*(4 + 1 - 3)) to the form z*u + a*u**2 + q*u**3 + i and give q.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -3*n. Suppose -2*a = 2*v - 24, n = 2*a - 0*a - 4*v + 6. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0115243 to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.29 in 171, -0.12, 3, -5?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1181 is divided by 211?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**5*s*s**(-4))\/(s**1)**(-41) assuming s is positive.\nAnswer: s**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*r = -31 + 7, -2*w = 4*r + 16. Sort 1, 4, 0, w in increasing order.\nAnswer: 0, 1, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5125 - -5346. Calculate the remainder when q is divided by 44.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -2 - (3 + -10). Let o(b) = b**2 - 8*b - 8. Let i be o(10). Suppose 14*p - 16 = i*p. Which is greater: p or g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 4*u + r - 16 = 28, 4*r - 13*r = -2*u - 22 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04952 - -6.\nAnswer: 5.95048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -30 (b) 10\/7 (c) 13 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t**3 + 6*t**2 + 12*t - 9. Let q(b) = 4*b**3 - 6*b**2 - 11*b + 9. Let k(a) = 3*c(a) + 4*q(a). Let p be k(7). Solve p*x - 12 = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40093, -80156, -120185, -160174, -200117, -240008?\nAnswer: -279841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 927, 2244, 4089, 6462?\nAnswer: 9363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -12\/19, -3, -2?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 11*s + 1. Let i(t) = -3*t**2 - t - 1. Let p be i(-2). Let o be z(p). What are the prime factors of (-110)\/(-2) - o - 4?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3 - 39. Let y = -8 - v. Factor 10 - n**3 - y - n**5 + 2*n**4.\nAnswer: -n**3*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 11:10 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 4*z + 4. Let q = 24 - 28. Let h(c) = c**2 + c - 1. Calculate q*h(j) - i(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/189*(-4)\/(-10).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 - 5*b - 17. Suppose -1241*l - 120 = -1271*l. Determine c(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 4:52 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -442141 + 2344?\nAnswer: -434242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(7*2\/14). Let h = 0 - 0.5. What is the nearest to 0.4 in h, y, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-6 - -1 - -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-404)\/5)\/(44\/(-110)). Find the second derivative of k*m**3 + 51*m + 198 - 19*m**3 - 199 wrt m.\nAnswer: 1098*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -871 - -903.905. What is c rounded to 0 dps?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13003368 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1878 is divided by 1869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -500578, -2002371, -4505360, -8009545, -12514926, -18021503, -24529276?\nAnswer: -32038245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(5\/(20\/6)). Suppose 6*k - 5*k - p*z - 11 = 0, 5*k + 3*z = 3. Solve 22 = -4*c - 5*w, -1 = -4*c + 5*w - k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20305, -162775, -549517, -1302667, -2544361, -4396735, -6981925?\nAnswer: -10422067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/19))**41 assuming t is positive.\nAnswer: t**(82\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1070 at most -1031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -100092.078 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1616549 to three dps.\nAnswer: 0.162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0534 to three dps.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3449*w*y**3 - w*y**2 + w*y - 2*y**3 - 5*y + 2 wrt y?\nAnswer: -20694*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -3*h - 38. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 8. Let v be u(11). Suppose v*i = -2*i. Let k = 9 + i. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 6. Let w be l(6). Let o = -35 + 52. Suppose w = -q + o - 8. Solve 5*t - 6 = -2*s + 5, 3*s - q = -5*t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/174 and 1\/1158.\nAnswer: 33582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -984*z**2 + 716*z. Calculate c(1).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**2 - 69*c + 324. What is g(-34)?\nAnswer: -798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 248 and 37.82.\nAnswer: 9379.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-8)*1*(-48)\/(-24)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 8641536*m - 6223012036608.\nAnswer: -3*(m + 1440256)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 17*a - 11. Let r be g(-9). Suppose 20 = 21*d - 43. Sort d, 12, r in increasing order.\nAnswer: r, d, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 747998 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -24. Let r be ((-12)\/(-15))\/((-6)\/75). Let w = -33.4 + 33. Which is the third biggest value? (a) z (b) w (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7214.213 minutes to seconds.\nAnswer: 432852.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.917 times 173961?\nAnswer: -159522.237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*z - 3671 - 3955 - 86*z + 7626 - z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68*(4\/140)\/((-5)\/25)*(-7)\/(-2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -1102*x + 1100*x + 3*c, -4*x + 6 = -2*c for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 37\/74*(31 - -11)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0324571869 and -1.9.\nAnswer: -1.9324571869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -56371.2 take away -1969?\nAnswer: -54402.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + sqrt(1872)*-2)*6)**2.\nAnswer: 67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.1 (c) -36 (d) -95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 8*k - 13. Let t = 2 + -2. Let y be -10 - t\/(-2 + 3). Calculate the smallest common multiple of b(y) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4 - 7 - 33017*d + 33012*d. Let a(l) = 9*l + 5. Let p(f) = f**2 - 2*f + 1. Suppose -5*w + 16 = 1. Let z be p(w). Calculate z*a(k) + 7*q(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7942 is divided by 7800?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -6\/5*a**2 + 2\/5*a**3 + 4\/5*a + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 317 and 0.002?\nAnswer: 0.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 555*t.\nAnswer: -5*t*(t + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*r - 36 = 36*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyyyzyz. What is prob of picking 3 y?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 308522 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 12:55 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.27815956?\nAnswer: -0.55631912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9, -7, -9, -21, -49?\n\"Answer: -x**3 + 4*x**2 - 3*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.87251032 + 3.07251. Let l = -0.22 + 0.02. Let s = l + n. What is s rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 5:41 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 392 + -272. Let q = z + -120. Which is the closest to q? (a) 0 (b) -50 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pq when two letters picked without replacement from {k: 2, p: 1, z: 2, q: 3, e: 1, j: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -7\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*2*6\/(-24)*3582.\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 116.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-126)\/(-33) - 1) + (-14)\/(-77). Let d be 24\/30 - (-1)\/5. Sort 2, h, d in descending order.\nAnswer: h, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3.195211um?\nAnswer: 0.000003195211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 6:37 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -4*v + 7*s + 9, -4*s = -v - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*(sqrt(38) - (3*sqrt(4598) + sqrt(4598))))\/((sqrt(32) - (sqrt(32) - sqrt(160)\/sqrt(5)))*6).\nAnswer: 129*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13121253 to the power of 1\/2, to the nearest integer?\nAnswer: 3622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 958, 1865, 2778, 3691, 4598, 5493?\nAnswer: 6370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 8*c = 8*c. Solve c = -4*n + 2*n - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286586?\nAnswer: 2, 17, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 186.88 and -0.32.\nAnswer: 186.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*f + q - 4*q, 5*q = -25. Is 88\/f + (-6)\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3710235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 9*q + 1. Let y be o(-7). Let z be -3*y*(-2)\/(-12). Let b = -29 + z. Round b to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001228062 rounded to 6 decimal places?\nAnswer: 0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0 (c) 0.3 (d) -0.1145 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13594?\nAnswer: 2, 7, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (61\/2)\/(1\/2). Suppose 5*c - c + 3*w = f, 0 = 5*c + 3*w - 77. Suppose 2*m - 6 - c = 0. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -165333 - -330671\/2. Factor i*t - 3*t**3 - t**2 + 3\/2 + 1\/2*t**5 - 1\/2*t**4.\nAnswer: (t - 3)*(t - 1)*(t + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3a2 + 51?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-704)\/88*(-6)\/144.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*d = -6 - 20, -2*c = 4*d + 44. Let x(h) = h**3 + 16*h**2 + 14*h + 32. Let g be x(c). Suppose -4*r + 80 = g. Is -37 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13736\/(-1010) - (-4)\/(-10). Let h(m) be the third derivative of -m**5\/60 - 19*m**4\/24 + 5*m**3\/6 + m**2. What are the prime factors of h(i)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 197304 - 385454. Round c to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 9*s\/2 - 9\/2.\nAnswer: (s + 3)*(4*s - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0 = -10. Let r be (2 + (-2)\/1)\/(-2). Solve 2*w + r*l = a*l + 2, -3*w - l - 17 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/20)\/(-952 - -953).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -496 - -297. Let j = y + 202. What is the third smallest value in -0.015, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1000\/(-80))\/((-1)\/(-5)*(-130)\/(-52)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -126014662.9000109 - -126014656. Let w = g + 6.9. What is w rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4775166, -4775163, -4775160, -4775157, -4775154?\nAnswer: -4775151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o. Let u(x) = 16 - 17 + 27*x**2 + 1 - x. Determine u(l(t)).\nAnswer: 27*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194107.\nAnswer: 73, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 12:58 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.6 (b) 1.1 (c) -13 (d) 0.5 (e) 1247\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23183\/3 - -7728. Let g = -13\/5 + 3. Which is the closest to t? (a) 0.2 (b) -11 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**6\/10 - g**5\/60 - 13*g**2\/2 - 10*g. Let l(r) be the first derivative of k(r). What is the third derivative of l(y) wrt y?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/325)\/((14\/20)\/(-7))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.1, 5944, 5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**4\/4 + 2*u**3 + 5*u**2\/2 + 7*u + 110. Suppose 0 = -5*i + 3*t - 32, -2*i - 4 = i + 2*t. Let m = 11 + i. Determine a(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + v + 2002, -16*c + 13*c + 4*v = -3008. Let z = c - 997. Let d be (5\/4)\/(2\/8). Solve t + d = 3*y, -4*t = -5*t + 2*y - z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1231 (base 14) to base 10.\nAnswer: 3179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h. Let s(u) be the first derivative of 2*u**3\/3 + 5*u**2\/2 - 5*u - 4. Let n(p) = -2*p**2 - 6*p + 6. Let r(j) = 5*n(j) + 6*s(j). Give y(r(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**3 + 3*b**3 + 3*b**3 + (-4*b + 0*b - 12*b)*(6*b**2 - 3*b**2 - 2*b**2) to the form y*b + w*b**3 + h*b**2 + u and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2244, -2163, -2054, -1917?\nAnswer: -1752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - h + 4. Let n be b(4). Suppose 2*o - g = -3, g + n = o + 4*g. Let x = -29 + 31. Solve -c = 2*u - 4 + o, 2*u - x*c = -6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117008.\nAnswer: 2, 71, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 = 3*z + 2*v - 1069, -4*v + 4 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 + 0*c**2 - 6*c**2 + 0*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**4\/4 - 48*f**3 - 3753*f**2\/4 - 5643*f = 0.\nAnswer: -33, -19, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -19744*k - 2701. Is z(-1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1554\/(-2849))\/(2\/(-209))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -2, 280.5, 4, -0.5, 19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 + -1. Let o = -0.29 + -0.01. Let l = -1\/7 - -9\/14. Which is the third biggest value? (a) o (b) h (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 41, -1\/2, -12, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 14. Solve -4*u = 4*m + 4, k*u + 0*u - 37 = 5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**3 + 7*t**2 - 18*t. Suppose q - 2*x - 19 = 0, -860*q + 51 = -857*q - 5*x. Let p(a) = -a**3 - 3*a**2 + 9*a. Determine q*p(j) + 3*g(j).\nAnswer: 2*j**3 + 9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14633\/2230 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-7)\/(-6) + 169\/(-78)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, g: 2, q: 3}. What is prob of picking 1 q, 2 k, and 1 g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -916732802719 and 4.\nAnswer: -916732802715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*o**2 - 8*o + 8*o)*(12 + 6*o - 21 + 7) as g + r*o**2 + q*o**3 + n*o and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 5*t + 15 = 0, 2*s - 19 = 3*t. Suppose 127 = s*u - 173. What is the greatest common factor of u and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -223, -1793, -6053, -14347, -28019, -48413, -76873, -114743?\n\"Answer: -224*m**3 - m**2 + m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d**3 + 50 - 12*d**2 + 12*d**2 - 16*d**3 - 8*d**3.\nAnswer: -5*d**3 + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**6\/2520 - x**5\/105 - 5*x**4\/56 - x**3\/3 + 8*x**2 + 3*x - 19. Let m(i) be the second derivative of k(i). Factor m(t).\nAnswer: -(t + 3)*(t + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.5 (b) 0.4 (c) 1\/205 (d) 1 (e) -0.5 (f) 2\/15 (g) 13\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 450*b - 23385. What is z(52)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*d = 12. Let y(s) be the second derivative of -s**5\/20 - s**4\/3 - 21*s**2\/2 - 52*s. Let z be y(-5). Solve z*o - 6*o + d = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {t: 1, z: 4, f: 1, m: 2, r: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u**4 + 9*u**3 - 5*u**2 - 9*u + 7. Let g(s) = s**4 + s**3 - s**2 - s + 1. Let k(z) = -14*g(z) + 2*l(z). Solve k(n) = 0 for n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 - 11*i**2 + 6*i**2 + 2*i**2. Let l(o) = -13*o - 3. Give x(l(c)).\nAnswer: -169*c**2 - 78*c - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 200 - 196 - (-1 + 16) - (-39 + -1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k + 5*s - 105 = 0, -20 = -k + 4*s. Calculate the highest common divisor of 60 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 9*k + 27. Let p be 9\/(-21)*(k + -9). Solve p*m - m + j - 8 = 0, 5*j = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n + 168 = -15*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*(5 - (2 + 11 + 7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/10 - (-36)\/165. Let u = -1740.5 + 1737.5. Sort f, -17\/8, u in descending order.\nAnswer: f, -17\/8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -575.1 + 42.1. Let t = 530 + z. Do -27 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwxe when four letters picked without replacement from {e: 4, x: 3, u: 1, w: 4, d: 1}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u + 4. Calculate the common denominator of 75\/(-6) + (-4)\/(-3) and (-419)\/18 + u\/18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*z + 3720 = -489*z for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37329048 divided by -2634.\nAnswer: 14172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 450 and 542070.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.13 + 0.49. Let v = 3.64 + x. Sort v, -1\/2, 3\/4 in increasing order.\nAnswer: v, -1\/2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*f = 21, 0 = f + 1 + 2. Suppose -o - 3*h - 27 = -4*o, 0 = n*o - 2*h - 22. Solve 8*p - o*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((-98)\/(-21) + 1\/3). Let m = -0.3 - -0.2. Let n = -5.3 + 5. Which is the third biggest value? (a) n (b) k (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 3*o**2 - 3*o - 2. Let j be d(4). Suppose j = 9*h - 8*h. Let l(s) = 6*s - 5. Is l(h) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4 = -3*j. Let v(q) = -q + 4*q - 2 - j*q. Determine v(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**4\/5 + 8*p**3\/5 - 790*p**2 - 3956*p\/5 = 0. What is p?\nAnswer: -46, -1, 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 223 (base 5) to base 2\nAnswer: 111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 117, 283, 585, 1071, 1789?\nAnswer: 2787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -20. Suppose 3*z + q*n + 581 = 8*z, 0 = z + n - 119. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (9 + -17 + 10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 10*n + 10. Let l be h(-11). Let t = 1 + l. Suppose i - 4*i + 114 = t. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 + 67?\nAnswer: 68.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79795089.\nAnswer: 3, 11, 806011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**5 - 3*g**5 - g**5 - g**5 + g**5 - 2*g**5 + (-116*g**5 - 685*g**5 + 183*g**5)*(3 + 0 - 1).\nAnswer: -1239*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1639 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q - 22. Let c be i(5). Let g(d) = -4*d**3 - 1 + 4*d + d**3 + c. What is the units digit of g(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 smaller than 997112\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 5)*(y + 2*y + y) + (-3*y + y + 3*y)*(1 - 2 + 2).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6320, 6412, 6506, 6602, 6700?\n\"Answer: f**2 + 89*f + 6230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20381*k**2 - 20631*k**2 + 9289*k**2 to the form s + g*k**2 + t*k and give g.\nAnswer: -31723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 163 = -7*a, -638*a + 636*a = 3*h + 62 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 - 2*u. What is c(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*c - 7*c**2 - 524*c**2 + 16*c**2 - 139*c - 2*c**3.\nAnswer: -2*c**3 - 515*c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3\/23)*m*m)\/m*m)**(12\/7)*((m**(-2\/3)*m)\/m)\/m**(-2\/17) assuming m is positive.\nAnswer: m**(21808\/8211)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29638 is divided by 6877.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.18 - 0.22. Which is the second biggest value? (a) 3\/7 (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/(w**(-15)\/w)))**(7\/5)\/(w**(-4\/5)\/(w*w**(-17)*w)) assuming w is positive.\nAnswer: w**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in 611, 0.5, 2.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1479.387 - 1475. Let b = -4.2 + j. Let d = b - 0.126. Round d to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 7)*(4 - 3 + 0 + 3*t**2)*(t**2 + 3 - 3).\nAnswer: -3*t**4 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -39. Let r(f) = 0*f**2 + 12*f + 24 - 28*f - f**2. What is the remainder when o is divided by r(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 480?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 2*q**2 + 6*q + 4. Let b(r) = r**3 + r**2 - 6*r - 3. Let t(f) = 4*b(f) + 5*n(f). Suppose -6*s = -5*s - 5*s - 28. Determine t(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 993 + -11879\/12. Find the common denominator of p and -11\/76.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -63632*s + 28. Let c(j) = 5*j. Calculate y(c(a)).\nAnswer: -318160*a + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Let q(y) = -2*y**2 + 2*y**v - y**2 + 2*y**2. Let m(t) = -15*t - 2. Let a(h) = -23*h - 3. Let j(x) = 2*a(x) - 3*m(x). Give q(j(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-4) - -1)*-10. Let d(v) = 8*v - 3. Let m(b) = 33*b - 13. Let y(f) = 9*d(f) - 2*m(f). Let a be y(1). Put u, 2, a in decreasing order.\nAnswer: a, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 390808207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = g + 173 - 619, 4*g = -5*d + 1739. Let k = -2153\/5 + g. What is the closest to 0.01 in -0.5, -2\/15, k?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94*r**3 + 1262*r - 1262*r + 10*r**2 wrt r?\nAnswer: 564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**6\/120 - r**4\/24 + r**3\/6 + 2*r**2 - 2. Suppose -b = 4*h - 18, 0 = 5*b + 3*h - 0*h - 5. What is y(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, i: 1, t: 2, x: 1, y: 1}. Give prob of sequence tx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - y = -1, 0*y + 1 = 3*n + y. Suppose s = -u, n = 2*u + u. Let g be 0*(-1 + 2\/4). Solve -3*c - 2*f + 5 = g, s*f - 7 = -5*c - 2*f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -6.184 (c) 4 (d) 0.3 (e) 1\/4 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/118 - 225\/1298. What is the nearest to -3 in f, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32)\/5 + (-4)\/(-10). Let j be 1 + 1 - (d - -5). Does j = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 13, -92, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12157706.46 and -25.2417?\nAnswer: 12157731.7017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4774 + 4777. Solve 4 = -p + r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1400072*o**2*y - 1319731*o**2 - 2*y wrt y.\nAnswer: -1400072*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + b - 6, -2*b = -15*p + 16*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-29)*t*t*t)\/t*t*t**(-1) assuming t is positive.\nAnswer: t**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11496824 - 7.77711\nAnswer: -11496831.77711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 + 179. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37894 - -37893.9964531. What is q rounded to 4 decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppirrprrrirrippp. What is prob of picking 2 i, 1 p, and 1 r?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -d + 22, 39 = 2*k + 5*d + 10. Suppose 0*h + k = 3*h. Let z = h + -7. Solve 0*s = 5*q + s - 19, -z*s = -3*q + 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 13*a + 94. Let g(v) = -26*v - 187. Let d(r) = -4*g(r) - 7*i(r). Let j be d(-6). What is the greatest common factor of 228 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -31, -51, -73, -97?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + y = u - 21, -3*u + 62 = -2*y. Calculate the remainder when 78 is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 875040?\nAnswer: 2, 3, 5, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -231 + 231.7. Which is the nearest to -0.1? (a) y (b) 3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 5603976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*u + 5*q, -3*u - 2*q + 13 = -3*q. Solve 4 = -u*f - 5*k - 4, -5*f + 24 = -k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.58 - 0.18. Let u = q + -1.3988. What is u rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/135)\/((-48)\/16848)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g*h**4 - 184*g*h**3 - 56*g*h wrt h?\nAnswer: -24*g*h**2 - 1104*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0254*-0.4.\nAnswer: -0.01016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 24*i. Let a be r(5). Suppose 3*m - 3*h - 3 + 0 = 0, 0 = -4*m + h + 7. Does 8 divide (1\/m)\/(2\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**2 + 55630*o - 834675 = 0.\nAnswer: -55645, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 0.4 (c) -94 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6303017 at least 6303018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 627 = -577 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*f = -20, 0*j - 16 = -3*j + 4*f. Suppose 0*v - 5 = -v. Let n(l) = -l**2 + 5*l + 4. Let o be n(v). Solve j = -o*p + p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(18\/4 + -4). Let h = 3 - -2. Suppose -z*n - 691012 + 2951002 = h*x, n + 3*x - 1129994 = 0. Round n to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 - (-12 - -3 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d + 14*d + 24*d**2 - 2 + 30*d**2 - 22*d**2. Let b(x) = -13*x**2 - 5*x + 1. Give -12*b(c) - 5*q(c).\nAnswer: -4*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**5\/30 + s**4\/12 - s**3\/3 - 2*s**2. What is x(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 1:14 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.017 - 0.083. Sort 1\/3, 3, 0, p in descending order.\nAnswer: 3, 1\/3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17500)\/200*((-24)\/63)\/(1\/(-15)*-10)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267*i + 242200000 = 247*i. Round i to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**3 + 2*q**3 + 0*q**3 + (2*q**2 + 0*q**2 - 4*q**2)*(2*q - 2*q - q) + q**3 + 2*q**2 - 2*q**2 - q**3 + 3*q**3 - 3*q**3 - 5*q**3 - 14*q**3 + 4*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/9)\/(4\/12). Let k = -3 - x. Let b = k + -5. Solve -b*h + 25 = -7*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 1044130*y**2 - 2088268*y.\nAnswer: 2*y*(y - 522067)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 592 - -609. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 4:10 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 5:43 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31718245861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2072\/40)\/((-3)\/(-15)). Let a(x) = 129*x**2 - l*x**2 + 129*x**2. Let v(s) = -124*s. What is a(v(o))?\nAnswer: -15376*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3585 and 139098?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a = -41*a - 48. Let y(t) = t + 1. Let b(w) = 2. What is a*y(d) + b(d)?\nAnswer: -4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 276\/230 + 84567\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 + -47. Let q(r) be the second derivative of 0 + 0*r**2 + 1\/70*r**t + 3*r - 1\/21*r**3 + 0*r**4. Factor q(u).\nAnswer: 2*u*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4546 - 4507.012. Let r = n + 0.012. Let u = r - 38.99. What is the nearest to -1\/2 in 1\/5, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 - 73*v**2 - 1885*v - 3476.\nAnswer: (v - 316)*(v + 2)*(v + 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h - 5*q - 144 - 39 = -0*q - 17, 6*h - 5*q = 149 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 197*f - 6104. Let h be w(31). Solve 0 = -h*l + 4*y - 0 + 13, -l - 3*y = 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 divided by 198?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2523065068?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21198 + 21197.8. Which is the fourth biggest value? (a) p (b) 22 (c) -3\/4 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.346 (c) 0 (d) -2.2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/280 and -85\/472?\nAnswer: 16520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 7:03 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -j + 2. Let c(v) = -2*v**2 + 20*v - 18. Let u be c(9). What is the second derivative of -s**2 + 0 + u + s + j*s**2 wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27530140 is divided by 935?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 2*u + 2. Suppose 2*c = 6*c - 8. Suppose c*i + 4 = 3*i. Let h(x) = x**3 - 3*x - 3. What is i*h(z) + 6*o(z)?\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 17 = -0. Let l be (-5)\/((-15)\/(-8))*3\/(-2). Let i(b) = 6*b - l + 4 - p*b. Let s(o) = 4*o. Calculate i(s(m)).\nAnswer: -44*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1040*s + 1030*s + 30390 = 0. List the prime factors of s.\nAnswer: 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.161 - -0.331. Let z = 1.63 + d. Which is the third biggest value? (a) z (b) 17 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/12695605 and -57\/45160.\nAnswer: 101564840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 2*k**4 - 4*k**2 + k**2)*(-16467*k + 29061*k - 16784*k).\nAnswer: -8380*k**5 + 8380*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 71956 a multiple of 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7.5, 2, 9.39, 24 in decreasing order.\nAnswer: 24, 9.39, 2, 1, -7.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 27*w + 64 = 0, 0 = 3*v + 8*w - 6*w + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuu. Give prob of picking 2 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123\/3*-3*2\/(-6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/4770824 and -43\/2?\nAnswer: 4770824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2 - 3)\/1)\/(-19 - (-9 + 1027\/(-104)))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4, 2*d - 2 = -i + 3*i. What is the greatest common divisor of d and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -1749.\nAnswer: 5247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 464928537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001111110 + -11?\nAnswer: -10010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 29. Calculate the smallest common multiple of y and -2 - -2 - -1 - -11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 3)*(h**4 - 4*h**4 - h**4) - 4*h**4 + 0*h**4 + 3*h**4.\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -33. What is the units digit of w\/4 - 898\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*15\/54*(-4)\/(-4).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*x**4 - 3*x**3 + 1 - 13*x**4 + 0*x**3 + 23*x**4 + 8*x**2 to the form n*x**2 + a*x + y + d*x**4 + t*x**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1131, -1685, -3237, -6285, -11327, -18861, -29385?\nAnswer: -43397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 + 30. Let f be (r\/(-35))\/(9\/(-2)). Is f at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-11)\/((-1155)\/9))\/((-4)\/10). Let u = -82 - -81.9. What is the nearest to u in -0.2, c, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16511266?\nAnswer: 2, 19, 29, 14983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, w: 7, a: 2}. Give prob of sequence aau.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206771 is divided by 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -42.1 * -0.5\nAnswer: 21.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 6*k + 8. Let b be l(7). What are the prime factors of b\/((-1)\/(-1)) + 9?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49 or -37?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -6 - -12) + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(-8*(-26)\/(-8736))*-4*1?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -20*j**3 - j**2 - 44*j - 135. Is q(-5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 19. Let i(m) = -m + 1. Let j(n) = 6*n - 4. Let d(t) = 4*i(t) + j(t). Let u be d(1). Solve -u*x = o - 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (2 - 1) - 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -26, 2, 5, -45\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385817661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + h**2 + 1. Let k be ((-1)\/(-2) - 0)\/(6\/24). Let w(o) = -3 - 25*o**2 + 12*o**3 + 8 + 16*o**k - 14. Calculate 18*l(p) + 2*w(p).\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*c + 4*c + 93. Find the third derivative of 2*h**2 - 32*h**2 - h**4 - 33*h**2 + 202*h**c wrt h.\nAnswer: -24*h + 1212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*c + 4*v, -3*v + 1 - 13 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2296, -4\/3, -2, -0.5, -2\/7, 2, -362?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 at most 40998?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, y: 2, c: 2, i: 2, k: 7}. Give prob of sequence cc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326*r = 325*r + 1917. Suppose 5*t + 5*y - 3353 + 938 = 0, y - r = -4*t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9 + 3)\/(-2) + 1. Suppose 4*k = 3*i - 154, k = -s*i - 3*k + 252. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (2 + -1))*-5. Suppose -x*y = 5*h + 20, 0*h - h = 2*y + 7. Let v(b) = 6*b - 1. What is v(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/5)*t\/(t*t**11)*t*t*t)**(-28))**(-19))**(-43) assuming t is positive.\nAnswer: t**(960792\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wfwuwfwwkwwwuw. What is prob of sequence ufw?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2501234 divided by -6?\nAnswer: 1250617\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 5*d - 169, 4*d - 49 = -4*v + 119. Let x = 1 - -10. What is the remainder when v is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612526195 to the power of 1\/4, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/98? (a) 3 (b) 0 (c) -0.5 (d) 5 (e) 97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17459684 is divided by 30051.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + g - 3, -3*g = v - 3 + 4. Suppose q = -5*n - 25, 0*q + 2*n = v*q - 10. Let 1\/2*c**3 - 1\/2*c**5 + 0 + 0*c**2 + 0*c**4 + q*c = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 103 (b) 3 (c) -3 (d) 1\/6 (e) 0.8 (f) -1.03\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10d22e2 (base 15) in base 2?\nAnswer: 101101111111011001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -5, -307, 5, 170 in decreasing order.\nAnswer: 170, 5, -5, -35, -307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 12*k**2 - 3*k + 1. Let w(x) = -x**2 + x. Give f(b) + w(b).\nAnswer: 11*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4 - 368*b**3 - 21280*b**2 - 369664*b = 0. What is b?\nAnswer: -76, -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bcca4aa + -1?\nAnswer: -bcca4ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*x + 5239, -3216 = 4*x + 3*m - 13729. Which is bigger: x or 2622?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 l, and 1 s when four letters picked without replacement from {l: 5, u: 1, s: 1, h: 2, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4450921?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y + 31*y = -560. Solve 29*b + y = 15*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.5 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + -2)*-3.\nAnswer: -24*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05049 rounded to three dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 13333.1907 and -999.2.\nAnswer: 12333.9907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*v**2 - 2391*v + 2391*v)*(v**2 + 10*v - 3 - 10*v).\nAnswer: -33*v**4 + 99*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*k + 14 = -2*k, 0 = r - 4*k + 16. Solve r*v - v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**9\/42 + k**5\/3 - 17*k**2. Find the third derivative of h(w) wrt w.\nAnswer: 1440*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 630 divided by -70\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 + -55. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 22 - 33*p)*(-1 - 1 + 0)*((-2 - 4 + 4)*(0 - 2 + 1) + 1 - 1 + 2)*(11*p + 13*p - 9*p).\nAnswer: 3960*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9855 (base 12) in base 14?\nAnswer: -617b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49.6 * -0.5.\nAnswer: -24.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 8*h + 4*h + 28, 4*g - 47 = 5*h. Let v be (g*(4 - 11))\/(-1). Calculate the highest common divisor of 448 and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7992915 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: Is 10460809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -419.31 - -426. Let j = y - 7.19. Which is the fourth biggest value? (a) 0.4 (b) -8\/3 (c) -3\/2 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11651 (base 13) to base 4\nAnswer: -13301132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 37, -4\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 655 + r**3 + 3*r**3 - 676.\nAnswer: 4*r**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 27*z - 138. What is u(-10)?\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f**3 + 2*f + 1. Suppose 3*u = 2*j + 14 - 4, -6 = -u + 2*j. Suppose u = -12*a + 10*a. Let y be z(a). What is the nearest to -0.2 in y, 1\/8, -3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24695 divided by 1\nAnswer: 24695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/5 (b) -30\/19 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 10:40 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9344.93 minus 228562?\nAnswer: -237906.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10066 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/5)\/n**3)\/((n\/n**(-8)*n)\/(n*n*n**6)) assuming n is positive.\nAnswer: n**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 92279093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = -5*d - 9, -41*g + 22 = -82*g + 45*g + 2*d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 37\/5 of a microgram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -90, -201, -356, -555?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (17 - ((-1688)\/(-72) - 8))\/(32\/(-24))\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 10. Suppose 6*j = s*j. Which is smaller: j or 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1987905082 to the power of 1\/2, to the nearest integer?\nAnswer: 44586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5 = 14, -4*g - f = -17. Suppose g*b - 9 = 16. Find the second derivative of -3*p**4 - 93 + 93 - 5*p - b*p**4 wrt p.\nAnswer: -96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -57*w**2 - 6*w + 1. Let g(c) = 56*c**2 + 5*c - 1. Let t(l) = 7*g(l) + 6*j(l). What is the remainder when t(-1) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11885725*f**2 - 12700936 wrt f?\nAnswer: 23771450*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 93 = 8*f - 23, -102*f - 4*l = -99*f - 51 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86\/((-757144)\/213)*(4\/3)\/2.\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4080087, -4080084, -4080081?\n\"Answer: 3*w - 4080090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 10:14 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87027994?\nAnswer: 2, 41, 1061317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 2879 (c) 5 (d) 990\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (38 + 637 + 440)*(-2 - 2 + p + 5) in the form f*p + x and give f.\nAnswer: 1115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0411801387 + 0.09079.\nAnswer: 0.1319701387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1367, 2, 216, -2, -4 in descending order.\nAnswer: 216, 2, -2, -4, -1367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 - 10*l + 3. Let s be x(-7). Let q be s\/15*-3 + -2. Solve -4*u + 5 = -q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/16)\/(1\/12) - -86 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 10*o - 3*y - 8 = 0, 0 = -4*o + 2*y + 22 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**5 + 150*v**4 + 3531*v**3 + 26490*v**2 + 84672*v + 99360 = 0.\nAnswer: -6, -5, -4, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 2:23 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1018*n - 1031*n = 78 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-3)))**(-2\/23) assuming l is positive.\nAnswer: l**(-6\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence td when two letters picked without replacement from {h: 1, i: 2, r: 1, t: 7, d: 2, n: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5373053097.\nAnswer: 3, 29, 61759231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 + 231231?\nAnswer: 231202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -100, -147, -198, -253, -312, -375, -442?\n\"Answer: -2*m**2 - 41*m - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -4*x - g + 22, -g - 14 = -4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-24)*-4 - -5. Suppose 1018 + 4562 = w*g. Is g a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 47, 93, 139, 185, 231, 277?\n\"Answer: 46*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 14112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -18. What is the highest common factor of s and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence feee when four letters picked without replacement from efefheehhhh?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 2\/15*d**6 + 1\/5*d**5 + 0*d + 1 - 8\/3*d**3 + d**2 + 2\/105*d**7 - 2\/3*d**4. Solve a(r) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = n + 2*n - 4*v, n + 2 = 2*v. Suppose -3*b - 2*y + 58 = 0, -b + n*y = y - 21. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 + 552*f**2 - 10125*f - 19. What is j(20)?\nAnswer: 2281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 + 4*q**2 - 4*q**2)*(-7 + 7 + 8*q**2).\nAnswer: -24*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1281*0.007689\nAnswer: 9.849609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25, -29, -33?\n\"Answer: -4*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64 + 152. Let z = -28 + i. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {o: 2, e: 16}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 0. Let i = a - 5. Solve 0 = -s - 5*x + 2, -5*s + 4*x = 5*x - i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 231.58 and 8994?\nAnswer: 2082830.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -4.6. Let z(f) = -386*f + 228. Let n be z(8). Let l be 3\/(30\/(-4)) + (-429)\/n. Which is the second smallest value? (a) l (b) s (c) 1\/2 (d) 4\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63130 and 370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2242 is divided by 374?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*(-200)\/(-2250)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**6\/120 + 383*u**5\/30 - u**4\/12 + 905*u**3\/2 - 6271*u**2. Differentiate m(n) with respect to n.\nAnswer: 3*n**2 + 1532*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -7\/65 (b) -121 (c) 0 (d) 0.4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-3*4)\/((sqrt(81) + sqrt(81)*1)\/sqrt(9)) - ((sqrt(85) + -4*sqrt(85)*2 - sqrt(85))\/(sqrt(45)*-6) + 1)**2.\nAnswer: -62*sqrt(17)\/9 - 353\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 163005872 and -11?\nAnswer: 163005883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + -7 - -3)\/(-2). Solve -3*y - 11 - 1 = i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2666684 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165211 = 3*s + s - 5*a, 3*s = 7*a + 123905. What are the prime factors of s?\nAnswer: 2, 3, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**2 + 2. Let s(m) be the first derivative of 4*m**2 + 2*m + 4401. Calculate r(s(a)).\nAnswer: 320*a**2 + 160*a + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (0 + -3 + 2 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -22. Suppose r*m = -m + 75. Solve 2*s + 3 = 4*c + 3*s, 5*s = -2*c + m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-0.755.\nAnswer: 3.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.7, 2\/9, -19, 2, 7 in decreasing order.\nAnswer: 7, 2, 2\/9, -0.7, -7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4374?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (194\/10)\/((-53301)\/(-545) + -98)\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)\/sqrt(5)*-1)\/sqrt(4))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 5*c + 3*c + 4*c. Let p be k(0). Suppose p = -x + 3 - 0. Solve 0 = x*s, s + 2*s - 2 = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*j = -20*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1. Let j be (-1)\/(-2)*(s - 5). Calculate the lowest common multiple of 11 and 31\/4 + j\/(-12).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173736869?\nAnswer: 173736869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19921, 39345, 58259, 76663, 94557, 111941?\n\"Answer: -255*b**2 + 20189*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m - 13128 = -3*m - 13298 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -389a (base 16) to base 13.\nAnswer: -6798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1070 + -648. List the prime factors of i.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**5 + 854*n**4 + 24416*n**3 - 7315342*n**2 - 11014132*n - 3675232 = 0.\nAnswer: -88, -1, -1\/2, 106, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35b7 - 1?\nAnswer: -35b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 24 + 2 + -6 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -0.3. Suppose -25 = 4*b - 5. Let v = -15.1 - -15. What is the third smallest value in b, v, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + 38*w**2 + 6*w + 19*w**2 - 10*w**2 to the form b + q*w**2 + k*w and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in 3, 1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 271 + -248. Find the second derivative of 34*w + n*w - 93*w**5 + 71*w wrt w.\nAnswer: -1860*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -2, -7, 5 in decreasing order.\nAnswer: 5, -2, -7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**2 - 3540*u + 1044300 = 0. Calculate u.\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 2*y**2 + y**2)*(0 - 4 + 0) + (-870*y + 1294 - 1294)*(0 - 2*y + 0).\nAnswer: 1736*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m + 4. Let p(s) = s - 1. Let v(w) = 4*p(w) + r(w). Let u be v(-8). What is the units digit of u\/(-20) + (-8)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -14. Let q = i + -2. Let o = -2.6 - q. What is the second biggest value in 5, -0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1265, 1819, 3155, 5609, 9517, 15215?\nAnswer: 23039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 6\/43, 3, -1\/2 in decreasing order.\nAnswer: 3, 6\/43, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**3\/9 + 146*o**2\/9 - 140*o\/9 - 32 = 0?\nAnswer: -1, 2, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/996 and -53\/5353666?\nAnswer: 32121996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.19 rounded to one decimal place?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3.75 * 0.4\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 2.1. Let p = -18.7 - -20.7. Which is the closest to u? (a) 0 (b) -1\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1841 + -1836. Is 10.24 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from fkxiix?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 545537388 to the power of 1\/3, to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11, -1, 3, -749 in decreasing order.\nAnswer: 5, 3, -1, -11, -749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 6*i - 3. Let q be m(-6). Suppose -o + 4 = -3*o + 4*z, 0 = -5*o + 5*z + 15. Let u = q + o. Calculate the highest common divisor of 20 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4790 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -6. Suppose -s*k - 4*f + 6 = 0, 6*k - k - 2*f = -9. What is the units digit of (k + (-6)\/(-3))*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5753315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 2*v - 3*v)*(v**2 + v**2 + 0*v**2) - 4*v**3 + 8*v**3 + 15*v**3 as c + f*v**2 + i*v**3 + n*v and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2439567 and 18?\nAnswer: 4879134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 77*g + 5*g**4 - 2*g**3 - 2*g**2 + 77*g + 2*g - 2*g + 3*g**4 + (12*g**4 + 72*g**3 - 72*g**3)*(-3 - 2 + 0).\nAnswer: -52*g**4 - 2*g**3 - 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1274785105 rounded to 3 decimal places?\nAnswer: -0.127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114\/(-1140)*10\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -218942*c**5 - 1196671*c**2.\nAnswer: -13136520*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w**2 - w**2 + 2*w**2)*(-w - 3*w + 5*w)*(5 - 11 - 8) to the form z*w**3 + l*w**2 + o*w + j and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 27*l**5\/5 - 3*l**4\/2 - 17*l**3\/3 - 25*l - 2063. What is the third derivative of g(d) wrt d?\nAnswer: 648*d - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.5 (c) -5 (d) -3\/104 (e) -2\/3 (f) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - q - 1. Let n(t) = 573*t + 20*t**2 + 618*t - 1198*t - 3. Calculate -n(v) + 5*r(v).\nAnswer: -15*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -304463 by 5.\nAnswer: -304463\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(11\/3)*o)\/o**(-3\/4) assuming o is positive.\nAnswer: o**(65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000317836 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(65\/(-715) + (-51)\/165).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31684 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 6260 = 11*z. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 62186, 62187, 62188?\n\"Answer: p + 62185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-147)\/9))\/((-3)\/(-21)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c - 10. Let g be l(-7). Let b = -21 - g. Suppose b*h - h = 6. Solve -8 = -w - h*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**3 + 4*j**2 + 7*j - 8. Let s(l) = l**3 + l**2 + l. Let h(b) = g(b) - 6*s(b). Calculate the remainder when h(-4) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1594, -3118, -4630, -6130, -7618, -9094?\nAnswer: -10558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from qpqpsxpxxxppp?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2 = -0. Let p = 4 - a. Suppose -5*g - 10 = -3*h, h - p*h + 8 = -4*g. Which is smaller: -3\/7 or h?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 46*y**2 - 42*y + 156. Let l be b(-45). Let r(h) = 2*h - 9. Let o be r(6). Solve -6*m = o + l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1537.1513 rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - j - 1. Let a be 1\/(-3) + 63\/27. Let l be m(a). What is the units digit of (3 - l)\/(-4)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 1. Let c be j(2). Suppose c*i - 3*a = -i + 57, 0 = -2*i + a + 31. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1953)\/1085)\/(36\/1680)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/65 and 113\/60?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1058 + 1062. Calculate the least common multiple of u and 248.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6444225?\nAnswer: 3, 5, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 8*r**2 - r - 8. Let n be f(-8). Let b be (2 - -6)\/4 - n. Suppose 4*u = b*u. Solve u*j = j + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 20*s + 2*s + 20*s + 6, 6 = 2*t - s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*g + h, h = -2*g + 2 + 4. Suppose g*u = -x + 34, -4*u = x - 8*u - 34. Calculate the greatest common factor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 + 79. Let f(i) = -25*i + 13. What is the remainder when 122 is divided by f(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261336641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 814278.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a millimeter in micrometers?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 212 and 30316.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 12 = 3*v, 0 = -3*g + 11*v - 5*v - 24 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5878*w**2*x**2 - 708*w**2 - 6255573*x**2 with respect to w.\nAnswer: 11756*w*x**2 - 1416*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 1. Let j be -24*5\/(-70) + -2. Which is the closest to s? (a) -5 (b) j (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2. Let r(x) be the third derivative of x**6\/120 + 98*x**2 - 3. Calculate -2*j(c) + 3*r(c).\nAnswer: 3*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 3. Let s(y) be the third derivative of -11*y**4\/24 + 2*y**3\/3 + 20*y**2. What is the remainder when s(k) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*o**2 + 19*o**2 - 13*o**2)*(2*o + 0*o - o) + 98*o**3 - 11*o**3 + 51*o**3 to the form f + i*o**2 + y*o**3 + v*o and give y.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from unccccnuuuunuuuu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*n = 44, 17*n = -5*h + 13*n + 100. Solve -4*b - b + o = h, 4*o - 16 = 4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 1\/18 (b) -7\/5 (c) -3\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**2 + 12*w. Let c = -224 - -227. Let j(f) = 4*f - 17*f + 11*f + c*f. What is j(v(h))?\nAnswer: 5*h**2 + 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1041954?\nAnswer: 2, 3, 173659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -79, -85, -95, -109, -127?\n\"Answer: -2*s**2 - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 850000*l. Let d be a(-2). Round d to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12625601590 + 12625601875.00001404. Let f = 285 - r. What is f rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/(-3) - -3) + 64\/(-60). What is the nearest to 1\/4 in -0.1, -1\/18, j?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**10)**18\/(s\/(s\/s**(-16))*s*s**(-2\/39)) assuming s is positive.\nAnswer: s**(7607\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/5613 + 2495\/1871. Sort 5\/4, 4, 2\/15, 2, o in descending order.\nAnswer: 4, 2, o, 5\/4, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31*(-44)\/2046*(15*-1)\/1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26195284 - 39584*t**3 + 26195284.\nAnswer: -39584*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -2. Let a(t) = -89*t - 2310. Let o be a(-26). Solve -o*x = -q + 13 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7288, -7465, -7642, -7819, -7996?\nAnswer: -8173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 1610.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5674837.2 to the nearest 100000.\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-153)\/714)\/((-6)\/(-8))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 50 = -30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -6*z**2 + 51*z + 353. Give i(-5).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 h, and 1 f when four letters picked without replacement from dddbbbbbbhdbbwf.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56.7407 * -61.\nAnswer: 3461.1827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -487, -0.1 in descending order.\nAnswer: 5, -0.1, -5, -487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 8. Suppose -4*r + 4 = k - 14, l*k - 75 = -5*r. Let o(x) = 29*x**2 + 2*x. Let n be o(-2). Calculate the greatest common factor of n and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2245, -5199, -10063, -16837, -25521, -36115, -48619?\nAnswer: -63033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073007307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/74 and 109\/12?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*w + 5*w. Let k(p) be the first derivative of -p**4\/4 - p**3 + p**2\/2 - 2*p + 12. Calculate k(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s**2 - 13*s**2 + 21*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/(-1104)*(-4)\/1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1548 + 1545. Let f(q) = 2*q**2 + 5*q + 3. Determine f(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 2*a = -8*k + 32, 0 = -5*k + 73*a - 69*a + 60 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l**3 + 8*l**2 + 44*l + 148. Is 24 a factor of b(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30872 by 2.\nAnswer: 15436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 3, a: 5, b: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + p**3 + 0 - 3*p**3 + (-3*p**2 + p**2 + 3*p**2)*(-p + 0*p + 0*p).\nAnswer: -3*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 674.16ns in seconds?\nAnswer: 0.00000067416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t + 10. Suppose -3*g - 1594 = 3*l + 2*l, 3*l = 3*g - 942. Let h = l + 308. Put 0, -5, t, h in decreasing order.\nAnswer: 0, t, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.89 + -0.11. Let s(b) = -b + 16. Let h be s(-4). Suppose 50*r + h = 46*r. Put r, 1, i in descending order.\nAnswer: 1, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5\/9 - 218*m**4\/9 - 548*m**3\/3 - 2812*m**2\/9 + 1646*m\/9 + 1010\/3 = 0. What is m?\nAnswer: -101, -5, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81 - 70. Suppose c*g - 6 = 16. Find the second derivative of 3*l**2 + 3*l + 24*l - 4*l**g + 2*l**2 wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 + -19)\/((-532)\/42 - -7).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317070 is divided by 91?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**2*p*t - 7*h**2*t**2 - 23*h*p**2*t**2 + h*p**2 + 12*h*t + 5*t wrt t?\nAnswer: -14*h**2 - 46*h*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99313144 divided by -1154804.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-10 - -10) - 5 - -11\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 758, 760, 762, 764, 766?\n\"Answer: 2*w + 756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 27 - 105 = 0. Suppose -2*d - 8 = -g. Solve d = 3*b - 0*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -136 + 0*z - 143 - 137 + 418 - 4*z. Let d(p) = 7*p - 3. Let v = 5 + -8. Calculate v*d(m) - 5*s(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zou when three letters picked without replacement from uaoozzz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-16)*(18 - -2). Let l be -4*(0 - 2\/44). Which is the second smallest value? (a) h (b) -0.1 (c) l (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/n**(-1\/3))*n*n*n**(-3\/11)*(n**(5\/7))**(-2\/13))**(-2\/7) assuming n is positive.\nAnswer: n**(-13718\/21021)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f - 50. Let o be w(17). What are the prime factors of (o + 0)*(6 + 17)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -533 by 427.\nAnswer: -533\/427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 4*z - 1. Let y be x(-5). Suppose 4*g = y*w - 8, -4*g + 19*w = 18*w - 7. Which is the nearest to 2\/5? (a) -0.3 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6*x**2. Let j be (5\/15)\/((-2)\/(-54)). Suppose 5*q - 5 = -4*c + j, -2*q = -3*c - 1. Let k(p) = -12 + 23 - 11 - 2*p**q. Determine v(k(w)).\nAnswer: -24*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7904, 15865, 23826, 31787, 39748, 47709?\nAnswer: 55670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*sqrt(208) + sqrt(208) + 0)**2 + (2*(5 + sqrt(52)))**2*5.\nAnswer: 432*sqrt(13) + 2376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -408803.7 rounded to the nearest 10000?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 2)*2 + 10. Let t be 120\/104 + 1*10\/(-65). What is the remainder when 98 is divided by 57*m\/12 + (-4)\/t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8207 != 8205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1822\/4555*(-200)\/90?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 497451109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 724141781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1366340 + 2?\nAnswer: -1366337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 4. Let u be b(0). Suppose 5 = u*z + 13. Put -3, 8, z in ascending order.\nAnswer: -3, z, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r**3 - 4*r**2 + r - 6. Let f(b) = -b**2 - 1. Determine 6*f(p) - q(p).\nAnswer: 5*p**3 - 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 21. Which is smaller: i or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**5\/60 - t**4\/4 + 5*t**3\/3 - 10*t**2. Let j be r(4). Suppose 0 = 5*m - j - 48. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143456924789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 34. Let u be z(-10). Let g = u + 26. Suppose -3*b - 20 = -i - 0, i + 5 = -g*b. Solve -2*c = -q - 0*q - 1, q + i*c = 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 k when three letters picked without replacement from {k: 1, b: 2, y: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 0 - 7\/15*k**5 - 18*k**2 - 13\/12*k**4 + 0*k + 0*k**3. Find the second derivative of g(t) wrt t.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -10*o**2 + 7*o - 7. Let x(l) be the second derivative of -3*l**4\/4 + l**3 - 3*l**2 - l. Let s be 132\/(-11)*2\/(-4). What is s*h(t) - 7*x(t)?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 172899 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 - 7*z + 16*z - 114.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2492644, 4985317, 7477990, 9970663, 12463336, 14956009?\nAnswer: 17448682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19324 - -19350. Let b(y) = 8*y**2 - 2*y. Let p be b(2). Suppose -14 = -3*v + p. Calculate the remainder when x is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (3 + -6)) + (-37 - -41) + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, -1, 1\/13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3354 and 83477706?\nAnswer: 3354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*t - 122*t - 900 = 0. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2.9803 (b) 7\/4 (c) -0.3 (d) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 10. Let a(g) = 2*g - 9. Let b be a(7). Suppose 0 = b*s + c - 2*c - 1, 3*s - c = 1. Calculate the remainder when o(s) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1197.9 - -2043.2. What is t rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -238*y**3 + 2*y**2 + 19*y + 349*y**3 + 3*y - y**2 - 168*y**3 in the form r + o*y**3 + c*y**2 + q*y and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 j when two letters picked without replacement from vapavjavvjpnkvnk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 - -52. Suppose -2*n + 6*n - 2*q + 16 = 0, j = 4*q. Let x be -2*n\/12*21. Calculate the greatest common factor of x and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-10))\/(6\/(-30)). Let k be 1 - j\/6*-3. Suppose k = -2*y + y. Solve -2*s = 4*c - 12, -3*c + 5*s - s - 13 = y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 896 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 + 6*i**2 + 9*i. Let f be h(4). Suppose -f*d + 4 + 8 = 0. Find the first derivative of 16 + 63*r**d - 19*r**3 - 19*r**3 - 18*r**3 wrt r.\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((-8)\/(-42))*-2. Let f = -15 + q. What are the prime factors of (-6)\/2*(-10)\/f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 36 - 146*f + 184*f**2 + 4*f**5 + 270*f + 120*f**3 + 36*f**4 + 8*f = 0. Calculate f.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**4\/8 - d**3\/2 - 5*d**2. Let z(f) = 14 - 7 + 6 + 2*f. Let a be z(-5). What is i(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5738897, 5738912, 5738939, 5738978, 5739029, 5739092?\n\"Answer: 6*y**2 - 3*y + 5738894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 3, -33822.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q**2 - 2*q**2 + 4*q**2)*(2*q - q - 3*q) + 69377 + 2*q**2 - 69368 - 14*q**3 + 5*q**3 in the form p*q + r*q**2 + a*q**3 + f and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5671*n + 6603. Is c(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2613358 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 246.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 203166 divided by 6\nAnswer: 33861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000 (base 2) to base 14.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f. Let k(u) = u**3 - 3*u**2 + 6*u + 1. Let c(h) = k(h) + 6*s(h). Let y be c(2). List the prime factors of ((-1)\/y)\/(1\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = r, 2*r + 20 = 2*s - 5*s. What is the second biggest value in -2\/13, s, -2\/21?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**3\/9 + 22*n**2\/3 + 292*n - 6336 = 0.\nAnswer: -33, 18, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*z**3 - 2313*z**2 + 4*z**3 + 2313*z**2.\nAnswer: 25*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68457*n**3 + 66672 wrt n.\nAnswer: -205371*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1922)\/(-124))\/(35\/2 - 18)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2323850*c**3 - 4647728*c**3 + 2323736*c**3.\nAnswer: -142*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*-2 + 1 + sqrt(720) + sqrt(720) - sqrt(720) - sqrt(720))**2 + -3 + 3.\nAnswer: -48*sqrt(5) + 2881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -9*g**2 + 202*g - 521. What is h(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90 + -84. Solve u + c = 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 470.5773us?\nAnswer: 0.0004705773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 47*v - 287 - 6*v**2 + 81 - 10*v + 0*v. Let j be c(26). Round j to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.17 - 0.57. Let s be (-1)\/5*(20 + -15). Let x be 44\/8 - 1 - s\/2. Which is the third biggest value? (a) -1\/4 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 1239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3953838.\nAnswer: 2, 3, 7, 23, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(((-175)\/(-10))\/7). Let j(g) = 10*g + 9*g**2 + 5*g**2 - 3 - 25*g**x + 5*g**2. Let i(q) = -q**2 + q - 1. Let a(k) = 5*i(k) - j(k). Calculate a(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11 + -5 + 2 + -196. Let g = 190 + u. Solve 2*o + 2*h = 4*o + g, -13 = 3*o - 5*h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*n + 12 = 54*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1 - 8)*60\/(-54) and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 52\/12)\/(4\/(-6)). Let f be 4 + 54*-1*(3 + s). Is f greater than -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*u**3 + 1132*u**2 - 2*u**4 - 1132*u**2 - 2*u**3 - 9 wrt u.\nAnswer: -8*u**3 + 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.036 and 6?\nAnswer: 0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 11:18 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77 + -88. Let v(l) = -l**2 - 13*l - 26. Let c be v(a). Put c, -8, 0 in descending order.\nAnswer: 0, c, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-23)\/(q*q**(-7\/2))*(q\/q**35)\/q*q**(1\/14)*q assuming q is positive.\nAnswer: q**(-381\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184888.\nAnswer: 2, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 193\/(-7) - (2853 - 2886)\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = -5*x + 366. Let o = 43 - x. Sort -17, o, 1 in increasing order.\nAnswer: -17, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j + 5. Let r be o(-4). Is (2 - r) + 2 + -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -3. Suppose -n + c*n = 28. Let b = n + 1. Solve 0 = 4*q + q + b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -342 divided by 171.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y. Let u(n) = -n + 717508. Calculate f(u(g)).\nAnswer: 6*g - 4305048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**2\/3 - 87760*f + 8427008\/3 = 0.\nAnswer: -131672, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -5*((-4 - 7) + -1) is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**5\/9 + 82*n**4\/9 + 1220*n**3\/9 + 8008*n**2\/9 + 22736*n\/9 + 21952\/9 = 0.\nAnswer: -14, -7, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 10*x + 11. Let c be w(9). Let g = c + -4. What is the units digit of 1\/(g\/6) - -36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 5:52 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhfhfhhhhh. Give prob of picking 1 f and 1 h.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 15 + 2 + -3. Suppose 144 = 5*r + k. Calculate the remainder when (-1 - (2 - 0)) + r is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -2.87916816492267.\nAnswer: -2.97916816492267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -1, -4, 7, -89, -74 in descending order.\nAnswer: 7, 1, -1, -4, -5, -74, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -273122, -273134, -273146, -273158?\n\"Answer: -12*c - 273110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -85*g**4 + 3*g**2 - 54*g + 2. Let u(l) = -424*l**4 + 16*l**2 - 269*l + 11. Let a(s) = 2*u(s) - 11*z(s). Find the second derivative of a(h) wrt h.\nAnswer: 1044*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**3 - 2*c**2 - c + 3. Let z(o) = -o**2 - o + 1. Let w(h) = -2*k(h) + 2*z(h). List the prime factors of w(-2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 11 = 4*z - z, -r = -4*z. Suppose 3*i - 270 = -r*f, 4*f + 4*i - 280 = -8. List the prime factors of f.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1733 + 379135*a**2 + 1733.\nAnswer: 379135*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -7, 0.5, -13\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 - -381. Let c be f\/54 - (-4)\/(-18). Suppose c - 1 = j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -9, -50, -131, -264?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -0.03. Let z = u + 0.011. What is z rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -21*f - 220. Determine n(5).\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1165*d - 1155*d - 47310. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228778150.\nAnswer: 2, 5, 4575563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 481, 486, 495, 508?\n\"Answer: 2*x**2 - x + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 103 and 1690024.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -0.7, -1\/33814?\nAnswer: -1\/33814","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -622, -4, 195, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/28 + (-669)\/12. Let f = k - -140. Is f a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 7*n**2 - 7*n - 3. Let h be p(-6). Sort -3, 5, h, 1\/5.\nAnswer: -3, 1\/5, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -300152 - 1?\nAnswer: -300153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91 and 52355989?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 502.682 - 201.6256. Let c = 301 - i. Let g = c + 2.4864. What is g rounded to one decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -270 divided by 270.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 0*j + 37*j + (-1 - 1 + 0)*(-7 - 4*j + 7).\nAnswer: 42*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 25. Let j be -1 - o\/(-4 + 1). Solve -c + j*h = -5*c + 30, 0 = 5*c + 2*h - 35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 427 - 287. Suppose -4*o + 1067 = -3*t, 4*o - t - 925 = y. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 14, -4, 3, 1634 in decreasing order.\nAnswer: 1634, 14, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35216 times -1?\nAnswer: 0.35216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9985726?\nAnswer: 2, 23, 217081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*r)*(((-2 + 4 - 3)*(5 - 3 - 4) + 1 - 4 - 1)*(4 - 3 + 0) + 178 + 245 + 342).\nAnswer: 1526*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0215099265 rounded to six decimal places?\nAnswer: 0.02151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 188047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 5*m - 31 + 12, -4*v = 2*m + 10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 618*l. Let z(t) be the first derivative of t**2 + 2029. Calculate o(z(r)).\nAnswer: 1236*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3197*p**2 - 233*p + 64. Let x be t(12). What is x rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 6*y**2 - 3*y**2)*(11*y + 0*y - 14*y - 1113).\nAnswer: -6*y**3 - 2226*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(4\/12 - 0). Let p(x) = 0 + z - 54*x**2 + 52*x**2. Let g(u) = -4*u**2. Calculate p(g(k)).\nAnswer: -32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 51a965?\nAnswer: -51a968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5)**34\/(i*i\/i**(-5\/7)*(i*i*i\/(i*(i\/(i*i**(-5)*i*i))\/i*i))\/i) assuming i is positive.\nAnswer: i**(1185\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3040712 divided by 760178?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.5, -2\/21, -3\/7, 8 in increasing order.\nAnswer: -0.5, -3\/7, -2\/21, 0.5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -429.4 + 429.391284. Round s to four decimal places.\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-35)*1*(-154)\/44.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j. Let a(d) = -64 + 64 - 26*d. Give a(b(f)).\nAnswer: -26*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 933, 1796, 2583, 3288, 3905, 4428?\n\"Answer: -d**3 - 32*d**2 + 966*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 20, -3, 3, 4, -219 in descending order.\nAnswer: 20, 4, 3, 2, -3, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*a + 1. Let w be (0\/a)\/(-6 + 3). Let d = -8 + 12. Solve -d*i = -5*x + 3, w*x + 3*x - 5 = 4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-8))\/((-2260)\/904).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 527089130 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k = 50 + 37. Suppose -24 = -4*u + u + 3*i, 4*i + 20 = 0. Solve -u*g - 15 = -v - 4*v, 3*v - 9 = k*g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 477 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 14*i - 5. Let v be k(-13). Let o be ((-6)\/4)\/(24\/(-2432)). What is the greatest common divisor of o and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.256042 millilitres in litres?\nAnswer: 0.000256042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccxcccccxcxcccccxx. What is prob of sequence xcc?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 + 74. Calculate the highest common divisor of s and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/484 and (-803887)\/53900 + 15 - (-2)\/25.\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/121630, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77455, -309385, -695785, -1236655, -1931995, -2781805, -3786085?\nAnswer: -4944835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -34*g**3 - 13*g**2 - 4*g - 1. Let y be b(-3). Let t be y\/210 + 4\/30. Calculate the highest common factor of t and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 166 - 90. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 5*b**2 + 4*b + 3. Let y be s(-4). Let h = -97 - -24. Let m = y - h. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 5:42 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - h. Let p(u) = 4*u**2 - 5*u - 2. Let k(t) = p(t) - z(t). Let n = 5634 + -5630. What are the prime factors of k(n)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h + 26. Let z(m) = -m**2 + 5*m + 2. Let s be z(7). Let k be l(s). What is the derivative of -6*i**k + 4 + 5 + 3 wrt i?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -3, 0.2, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-52 + -5 - -22) + -26 + 29\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 206\/123 at least -28\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -223\/13. Which is the closest to -0.4? (a) -0.2 (b) x (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(80)\/(sqrt(4)*4))\/(4*sqrt(64)*-3).\nAnswer: -sqrt(5)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -4 + 13 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -62. Suppose -2*d - d = 3*b - j, -2 = d. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 5*a - 667320, o + 17*a - 15*a = -333658. Round o to the nearest 1000.\nAnswer: -334000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t - 23. Let s(k) = -3939241*k. What is r(s(m))?\nAnswer: 11817723*m - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2689 divided by -27.\nAnswer: -2689\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 94 + -108 + 0 + 0 + 7.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.79 and 4.5.\nAnswer: 7.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 1)\/((-749)\/378 - -2). Calculate the common denominator of (b\/(-1215))\/(-1*(-1)\/145) and -23\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o + 16. Let k be n(13). What is the greatest common factor of 27 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t - 72 = -237 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 13. Let k = 53 + -41. Give f(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 4*h**2 - 13*h + 44. Determine w(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6\/19)*m\/((m\/(m*m**(2\/3)))\/m)*m)\/(m\/m**(-10))**(19\/2) assuming m is positive.\nAnswer: m**(-11531\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1348 is divided by 640?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -582373 (base 9) to base 6.\nAnswer: -11254020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 + 8*f + 2. Let c be a(4). Suppose o = -3*y + 73, 5*y - c*o - 127 = -o. Let z = 66 + y. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 36. Let j = 2 + -11. Let u = j - q. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2168 is divided by 30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1450985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2577, 2685, 2783, 2865, 2925?\nAnswer: 2957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-104))\/(4*385\/286 + -7)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from jjjcccc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + -47 - (-1 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 2*g + 5*g)*(-1 - 3 + 2 + 0 - 1 - 1 + (-1 + 1 + 2)*(1 + 4 - 3) - 1 - 1 - 10) + (-3 - 2 + 1)*(-2*g + 3*g + 0*g).\nAnswer: -28*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82658 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 6 + (-10 - -15 - (3 - 0))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001220231 (base 4) in base 6?\nAnswer: 15214141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 12*k. Let f = -10 + -1. Let m = 13 + f. Let v(i) = i**2 + 0*i**m - 6*i**2 + 2*i**2. Determine n(v(w)).\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((1 + -1 + (sqrt(275) - sqrt(11)) + sqrt(11))*2 + (sqrt(165)\/(sqrt(15)\/sqrt(3)))\/(sqrt(3) + (sqrt(3) - sqrt(270)\/sqrt(10)) - sqrt(3))))**2.\nAnswer: 35739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + (4*(sqrt(468) + 0 + sqrt(468) - sqrt(468))*6 - sqrt(468)*-1*-1*-5) + 5)**2.\nAnswer: 696*sqrt(13) + 393592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7350\/(-60) - -120)\/(3\/(-64)). Find n, given that 8*n**2 + k*n + 100\/3 + 4\/3*n**4 - 32\/3*n**3 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203144110 (base 6) in base 3?\nAnswer: 20121111000120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 22*z - 97. Give s(29).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/350*(-65100)\/(-558).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108626.\nAnswer: 2, 7, 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25, 32, 59, 118, 221, 380, 607, 914?\n\"Answer: 2*m**3 - 2*m**2 - m + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -171881, -172037, -172297, -172661, -173129, -173701?\n\"Answer: -52*r**2 - 171829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 196 + -2?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 5:54 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -24. Suppose 0 = -8*k + y*k + 5*o + 25, -k + 3*o + 11 = 0. Determine b so that -39*b**2 - 48 + 34*b + 0 + 12*b**k + 38*b + 3*b**3 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1551*d**2 + 374*d - 1619*d**2 + 29*d wrt d?\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 6*x = -144. Find the second derivative of x*y - 14*y + 6*y - y**2 wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 7*h. Let a(b) = b - 3*b + 4*b + h*b. Let v(g) = -g. What is v(a(q))?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84321?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*w = 20, -r + 4*w = 3*r - 44. Let i be ((-7)\/42*0)\/(-1)*-1. Determine l, given that -4*l**2 + i*l**2 - r*l - l**2 + l = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 0 - 0)\/((-57)\/(-184566)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3367, -5383, -6131, -5617, -3847, -827?\n\"Answer: -o**3 + 640*o**2 - 3929*o - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 196, 855, 1954, 3493, 5472, 7891, 10750?\nAnswer: 14049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23697568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c + 19. Let u be o(-4). Suppose u*w - 80 = -w. What is the highest common factor of 8 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6 = -21*r + 24*r, f - 17 = 4*r. Sort 2\/5, r, -2\/13, -1\/6 in descending order.\nAnswer: 2\/5, -2\/13, -1\/6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -195 or -196?\nAnswer: -195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2 + 23*y + 13. Let m be r(-7). Let v(w) = w**3 + 9*w**2 + 4*w + 41. Let o be v(-10). Put o, 3, m in increasing order.\nAnswer: o, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 1:59 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24 (b) -6 (c) -73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115786412 and 3724?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-6)*q))**(-1\/4) assuming q is positive.\nAnswer: q**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*d + 39*d - 7*d + (1 - 1 + 2*d)*(-19 + 22 - 17).\nAnswer: 30*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -0.31, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihii. What is prob of sequence ii?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39342 and 1896.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -6. Suppose 0 = 5*n - 21*n + 32. Calculate the least common multiple of n and f\/(-14) + 16\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151378 is divided by 5737.\nAnswer: 2216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 60437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - y - w - 38501, 5*w - 38495 = -5*y. What is y rounded to the nearest 100?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13703*b - 3*b**2 - 35 + 13703*b + (-2*b - 4*b + 5*b)*(2*b + b - 4*b).\nAnswer: -2*b**2 - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, i: 1, j: 1, w: 1, u: 1, z: 1}. Give prob of sequence zi.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-5 + sqrt(128) + 1 - 4*(sqrt(128) - (sqrt(128)*-2)**2)) + (sqrt(128) + 2 + sqrt(128))*-4 + sqrt(128) + 2 + 3*sqrt(128)).\nAnswer: -280*sqrt(2) + 10190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + u + 1. Suppose -17*y + 39 = -12. Let g(z) = -z**2 - 5 - 4*z + 3*z**2 + 0*z**y - z - 2*z**3. Calculate -5*a(w) - g(w).\nAnswer: 2*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - -1) + 0 - -1. Suppose 0 = 5*j + q - p + 3, -5*j + 2 = 2*q. Let n be j\/(-1) + 0 + 1. Let h(s) = -7*s**2 + s. Give h(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s**2 + 11*s - 7. Let y(z) = 2*z**2 - 3*z + 2. Let w(f) = -6*v(f) - 21*y(f). Let m(p) = -9*p. What is m(w(j))?\nAnswer: 54*j**2 + 27*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - -0.2. Suppose -k + 0 = 1. Let v = 0.18 + -0.18. What is the nearest to -2\/5 in z, v, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 - -4033.\nAnswer: 4034.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1433, 11774, 39873, 94610, 184865, 319518?\nAnswer: 507449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + b8638?\nAnswer: b8634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 20, 0*a = 5*h - 2*a - 177. Suppose 15 + 30 = 5*i - 4*w, 4*i - h = 3*w. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7375.009 kilograms to micrograms.\nAnswer: 7375009000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29542*c**3 - 5906*c**3 - 5908*c**3 - 5910*c**3 - 5916*c**3 - 5904*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -586 + 623. Suppose 5*m - 239 = 291. What is the remainder when m is divided by w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 0*a**2 + 0*a + 9\/25*a**5 + 78 - 3\/10*a**4 - 1\/5*a**3. Let g(r) = 0. What is r?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-3*a**2 - 2*a**2 - 3*a**2 + (-2*a + a - a)*(-7*a + 0*a + a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 50167515 to the power of 1\/3, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1 (c) -3 (d) 1\/284 (e) 2 (f) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -1\/10*v**5 + 33*v - 20\/3*v**3 + 2*v**4 + 0*v**2 + 0. Determine y, given that x(y) = 0.\nAnswer: 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10309, 10326, 10333, 10324, 10293, 10234?\nAnswer: 10141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**2 + 3*c + 1. Let n be b(3). Let g be ((-8)\/14)\/(n\/273). Calculate the greatest common divisor of g and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7.036294 decades?\nAnswer: 0.7036294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.2 - -18.2. Put -2\/7, 0, u, -1 in increasing order.\nAnswer: -1, -2\/7, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 133 - 71. Let f be (-6 - -4)\/((-1)\/j). Suppose 4*y + 29 = -x + f, -4*x + 30 = 2*y. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1410\/27025)\/((-6)\/(-10)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2*j = -64. Suppose 0 = -15*m + 7*m + 504. Calculate the remainder when m is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 0*u**4 + 6*u**2 - 1\/90*u**5 + 0*u + 1\/9*u**3 + 0. Factor j(g).\nAnswer: -2*(g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*s - 3365 = -10*s + 269 for s.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + j**2 + 29*j + 6. Let w(b) = -3*b**3 - 4*b**2 - 84*b - 17. Let f(m) = 17*h(m) + 6*w(m). Let i be f(-5). Solve 1 = i*z - 6*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + x + 6. Let w be c(0). What is the highest common divisor of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -45 in 4, 0.5, 2\/3, -0.6, 5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*f + 1 - 1 - 63*f - 58*f + 26*f**3.\nAnswer: 26*f**3 + 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 348747665?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1150 and 375.\nAnswer: 17250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - w**2 + 2*w + 46. Let h be j(0). Suppose -h + 106 = 5*v. Solve -12 = 4*k + 4*m, 0 = -5*k - 5*m + m - v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 3002908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**6\/2700 - j**5\/450 - 2*j**4\/45 + 2*j**3\/3 + 23*j**2. Let n(x) be the first derivative of g(x). Let n(a) = 0. Calculate a.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 924 and 175?\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 237581543 to the power of 1\/3, to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - q**2 - q + 1. Let l(w) = -w**3 + 6*w**2 + 2*w - 5. Let o be l(6). Let a(p) = 3 + 1 + o*p**3 - 4*p + 0 + 0 - 4*p**2. Give a(f) - 4*j(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.9 equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((7 - 23) + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - n + 0)*(-n**2 + 2*n**2 + n**2 + n**2 + n**2 + 0*n**2 + (1 - 1 - n)*(0*n + 3*n - 2*n) - n**2 + n**2 + 3*n**2).\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -117.5858 and 91648.804.\nAnswer: 91531.2182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + 13. Calculate the greatest common factor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6*o = 3. Let x be 14 + 1\/(o\/(-3)). Suppose 11*h = x*h - 12. Solve -z = 4, 5*f - h*z - 22 = z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*p - 4*p + 2*p as r + a*p and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6*x - 13. What is y(11)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 1.1118.\nAnswer: 0.9118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 722881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1308543729 and -0.44.\nAnswer: 1308543728.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/3468320 and -149\/270.\nAnswer: 93644640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and -1.10431?\nAnswer: 0.773017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -521 - -577. Calculate the highest common divisor of 994 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.896 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*q + 37*g - 42*g, g + 3 = -3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -23*j + 1. What is m(2)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/55 - 12\/836?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*u = 19447 - 294518. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3224 and 4154?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 8*w = 16. Suppose -2*v + 2 = -0, w*l + 3*v - 47 = 0. What is q in -6*q**2 - 6 + 39*q + 18 - l*q + 14*q**2 = 0?\nAnswer: -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q - 87 = -315 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -157 or -97?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 8 = -5*b. Let g = -293 + 336. Let i = g + b. Calculate the highest common divisor of i and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2425\/12 or 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 524 and 15173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(153)*3 + sqrt(153) - sqrt(153))**2 - (-1 + -3*sqrt(153))**2) + -2.\nAnswer: 1 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-33)\/(-13))*(50 + -37).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -710848, -1421700, -2132554, -2843410?\nAnswer: -3554268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b\/b**(-10)))\/b*b)*b**4)**(-1\/75)*(b*b*b**(2\/11)*((b\/b**(-2))\/b)\/b)**11 assuming b is positive.\nAnswer: b**(174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*h + 4*w - 42, -4*w - 6 = -2*h. Solve -5*k = -h*k + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 4163*v**5\/5 - 86*v**3\/3 - 15*v**2\/2 - 7436. Find the third derivative of s(j) wrt j.\nAnswer: 99912*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a03 (base 15) to base 12.\nAnswer: 1379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1*z)**45)**(-2\/25) assuming z is positive.\nAnswer: z**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 11\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1129174751+-24897\nAnswer: 1129149854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 550560 and 5456.\nAnswer: 6056160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**5 - 500*h**4 + 3808*h**3 - 7488*h**2 = 0. Calculate h.\nAnswer: 0, 4, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 6*j - j)*(-j**4 - 3*j**4 + 2*j**4 + (2*j**2 + 2*j - 2*j)*(-4*j**2 + 5*j - 5*j)).\nAnswer: -20*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004429 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccqkssssekkekkkkks. What is prob of sequence qe?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (3 - 0) - -2. Let o be (0 + 1)*6\/v. Let n be 0*(1 + (-3)\/o). Solve n = 5*i - 1 - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**4\/12 + s**3\/6 + 4*s**2. Suppose -210 = 14*q - 11*q. Let p = 71 + q. Calculate k(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 3. Let t be r(3). Suppose -3*g + 5*k = -1865, 3099 = t*g - g + k. What is g rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6 - -3) + (-147)\/(-18) and 53\/13.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2207860.8 months in years?\nAnswer: 183988.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (215*d - 139*d + 175*d)*(5 - 3 - 3)*(1 - 3 + 1).\nAnswer: 251*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) 2 (c) 271\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 357261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(8)\/(sqrt(40)\/(sqrt(30)\/sqrt(3))) + (-1 + (sqrt(2) - (sqrt(18)\/sqrt(9)*1)**2))*-4.\nAnswer: -3*sqrt(2) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20 + -21)\/((6\/15)\/2). Let k be -2 - 0 - g*(-44)\/(-55). Which is smaller: k or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 3 + 2)*(-179*f + 159*f + 424*f).\nAnswer: 3636*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*m - 27*m + 1558 = -24*m for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.033 - 0.179. Let v = -0.012 - g. Put -3, -3\/7, 3, v in descending order.\nAnswer: 3, v, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 47, 69, 115, 197, 327, 517, 779, 1125?\n\"Answer: 2*u**3 + 8*u + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g + 4. Does 8 divide b(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t + 13. Let q(l) = 3*l + 6. Let a(d) = 9*q(d) - 4*y(d). Let s be ((0 - 1)*1)\/((-3)\/(-15)). Give a(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 11032023?\nAnswer: 11032020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 177*k*l*t**3 + 2*k*l*t**2 - k*t**3 - 28*k*t - 4*t wrt l.\nAnswer: 177*k*t**3 + 2*k*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d + 1508 + 2985 = 1013*d - 732 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 6*c + 3. Determine x(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(-s - s + 0*s) - 69*s + 885 - 885 + (3 - 2 + 0)*(0*s + 2*s + s) + s + 2*s - 2*s + 3*s - 5*s + 0*s.\nAnswer: -71*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2.1228*0.1\nAnswer: -0.21228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 6) + 10\/2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4104*s + 14 + 4104*s - 40 + 4102*s - 12308*s - 26.\nAnswer: 2*s - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167043093.\nAnswer: 3, 7, 1277, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 575727370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(15\/(-4))*1950\/(-156)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**4 - 66*k**3 + 1675*k**2 + 13992*k + 25200 = 0.\nAnswer: -84, -4, -3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -6, 3, 16, 33?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**2\/2 + 61*t + 3. Let y be j(0). Calculate the common denominator of -45\/8 and 2 - 2\/(-28)*y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 720, 5711, 19254, 45627, 89108?\nAnswer: 153975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {k: 1, y: 7, z: 1, e: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-6) + (-39)\/63. Let r = 6.93253 - -2.06747. Which is greater: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3\/8, -3\/7, 0.1, -0.1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1084650480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 9*d - 1. Let g be -12 + (32 - 12 - 15). Determine y(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1203 + -210?\nAnswer: -1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/7 + 16*z\/7 + 2.\nAnswer: 2*(z + 1)*(z + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -31 (b) 1\/45 (c) 0 (d) 162\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11525444165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**2 + 102*z - 494. Let c be u(28). Let n(l) = 2*l - 9. Calculate n(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 99\/2*i**2 + 2*i - 54 - 65\/3*i**3. What is the first derivative of s(u) wrt u?\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + 2 - (62 - 54).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 7*p = 25, -5*p = 5*s - 33 + 8. Suppose 4*y = -4*m + 104, 4*m + m = -4*y + 106. What is the remainder when y is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 0*q**5 - 5\/3*q**3 - 12*q + 0*q**4 + 0*q**2 - 17\/30*q**6 + 0. What is the second derivative of a(i) wrt i?\nAnswer: -204*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, h: 1, v: 2}. What is prob of sequence hv?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 0.4.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000103045 to 6 dps.\nAnswer: 0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 119539578 to the power of 1\/2, to the nearest integer?\nAnswer: 10933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/4))**(3\/7)\/(x\/(x*x**(-4\/13))*(x\/x**(2\/11))\/x))**(1\/29) assuming x is positive.\nAnswer: x**(-933\/116116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 44*j**2. Let s = 381 - 390. What is the remainder when s*16\/24*-29 is divided by y(-1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 259 - 262. Let t(q) = -21*q**3 + 4*q**2 + 6*q - 9. Is t(d) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1389*g + 481*g + 2996*g + 2222*g in the form l*g + r and give l.\nAnswer: 4310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x + 19*x + (2*x - 4*x - x)*(-5 + 2 - 4))*(-4*x + 4*x + 4*x**2).\nAnswer: 160*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/420 and 13\/462.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 26*d**3 - 2*d**2 - 2*d - 1. What is a(-1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -13*l**2 - 2*l + 8*l - l**3 + 21 + 9*l. Let o = 560 - 557. Suppose -21*f - 3*s = -18*f + 48, 46 = -o*f - 2*s. Determine x(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -211200200110?\nAnswer: 211200200111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4247816 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -574678*y**5\/15 + 1724038*y**4\/15 + 9194836*y**3\/15 + 6896072*y**2\/15 - 16*y\/5 = 0. Calculate y.\nAnswer: -2, -1, 0, 2\/287339, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -3 - -6)*1\/12. Factor 1\/4*d**2 - i*d**4 - 1\/4*d**3 + 0 + 0*d + 1\/4*d**5.\nAnswer: d**2*(d - 1)**2*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -12\/2263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13759*g - 520 = -13779*g for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-1))\/((-684)\/114)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/11 (b) 44182 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -3. Suppose 0 = 4*g - u*g + 164. Let m = g - 54. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272 = 79*d - 1237 - 931 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20307899*d**2 + 43811*d + 22 wrt d?\nAnswer: 40615798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -2, 25, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*n**2*r**4 - 4*n**2*r**3 + 5*n**2*r + 2*n*r - r**4 + 23*r**2 wrt r.\nAnswer: 720*n**2*r - 24*n**2 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3.8, 2\/3, 0, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.909 in 409, -2\/5, -3, -23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 + 5*g + 4. Let v(s) = -5*s**2 + 6*s + 11 + 0*s + 8*s. What is 8*j(u) - 3*v(u)?\nAnswer: -u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 765 in -1\/6, 0.3, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.37 - -30.63. Let x = 15 - q. Let z = x + 11. Put 4, -0.1, z in ascending order.\nAnswer: z, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -24. Let i = 6 - 3. Suppose -i*g - 4633 - 1007 = h. Round g to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16431770 is divided by 12601?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (32\/(-12))\/(58\/(-87)). Solve 3*n + 10 = 3*v + s*n, -5*v - 2*n + 15 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + -14. Suppose -w = -n - 6*n. Let x be (-1 - 3\/(-9))*n\/(-1). Solve 0 = -5*o + 7 - x, -2*a = -o - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*w. Let c = 1047 - 1042. Suppose -127 + 21 = -5*n - 3*t, w = n + c*t - 30. Calculate the highest common factor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 293, 587, 881?\nAnswer: 1175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.076 times 4?\nAnswer: 0.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 12535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.71 plus 0.13?\nAnswer: -6.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 417879?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163346285*d + 114403779*d - 130761356*d.\nAnswer: -179703862*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 = -11*z - 285. Let s = 75 + z. Factor -4\/5*f**3 + 2\/5*f**4 + 2\/5*f**2 + s + 0*f.\nAnswer: 2*f**2*(f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47227\/4 + 414863\/36. Let d = k - -283. Find n, given that -1\/9*n**2 - d*n + 1\/3 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 37\/(-20) + 2 - (-8)\/32. Factor -6\/5*m**3 + 0 - 2\/5*m**5 + 6\/5*m**4 + 0*m + s*m**2.\nAnswer: -2*m**2*(m - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1210 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c - 7. Suppose -3*v = -0*v - 27. Let x(n) = -11*n - 6 + 6*n + v*n. Suppose 5*t = -2*t + 49. Determine t*x(h) - 6*r(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 35, -2 in decreasing order.\nAnswer: 35, 0.08, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/61 (b) -373 (c) -4\/171 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s**2 + 12*s**3 - 11*s**3 + 0*s**2 + 2 as j*s**3 + m*s + f + t*s**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*r - 6 - 4 = 0, 0 = -v + 2*r. Let d = v + 2. Let i(t) = 7*t - 2. Let s = -6 + 11. Let z(k) = 11*k - 3. Determine d*i(n) + s*z(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-900)\/3150)\/(132\/28).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 903319687 to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-1))\/((-35)\/(-70))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/5 = -14983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1583 + -1580. Solve -4*p = -p - f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 - -337. List the prime factors of j.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2027*h + 316*h + 2167*h as w + z*h and give z.\nAnswer: 4510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14346 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 6*b - 4*b)*(124 + 51 - 5).\nAnswer: 340*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70636 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -163 - -343. Calculate the highest common factor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - 15. Let w be (s\/(-6))\/(2\/12). Let h = w + -30. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -2\/13, -2\/1019?\nAnswer: -2\/1019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -220, -401, -546, -655, -728?\nAnswer: -765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401691709.\nAnswer: 227, 1093, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34 in 4, -4, 0.27, 0.5, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1903, 15419, 52097, 123517, 241259, 416903, 662029?\nAnswer: 988217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 23.216 and -1322818.9.\nAnswer: -1322795.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from qqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 10*l**2 - 3*l + 14. Let u be k(9). Let p = -66 + u. Solve -z - p*z + 6 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 2*o - 4, 29 = 4*q + 2*o + 25. Let 0 - u**2 + q*u + 0*u**3 + 3\/4*u**4 - 1\/4*u**5 = 0. What is u?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-75) - 354774\/(-25380). Let s = -340\/47 + a. Calculate the common denominator of 133\/12 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 r, 1 w, and 1 m when four letters picked without replacement from rmywydm?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -25122 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*k + 209*k - 23661 = -265*k for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 16*p**2 - 16*p - 30. Suppose 0 = 6*f - 4*f - 30. Let i be h(f). Let r = -274 - i. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364*t + 374*t = 24720. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 213032749?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5 - 2125\/(-60))*2\/(-15) and -97\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89040000 rounded to the nearest 1000000?\nAnswer: -89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/(-42)*3\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.06, -1\/3, -4, -5, 2\/5, -15, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1003, -2881, -4761, -6643?\n\"Answer: -h**2 - 1875*h + 873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -129, -150, -199, -288, -429?\n\"Answer: -2*x**3 - 2*x**2 - x - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3968 - 4?\nAnswer: -396c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3348726?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -287.2065 rounded to 1 dp?\nAnswer: -287.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.86 + 14.57. Let j = 3.6 - d. Round j to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21 or -17269\/792?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**4 + 45*v**3 + 125*v**2 - 165*v = 0?\nAnswer: -3, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72*(-20)\/(-1980)*-3?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 797*t. Let p(q) = -2948*q**2 + 3*q. Determine p(b(r)).\nAnswer: -1872596132*r**2 + 2391*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 454958 and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106819970.\nAnswer: 2, 5, 10681997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/29 (b) -382 (c) 2 (d) 124\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6 = -q - 2*q, -5*q + 3 = 4*b. Find the second derivative of 19*h**q - h**3 - 9*h**3 - 8*h**3 - 9*h wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34 + (-6 - 2\/(-1)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*c - 54, -2*x + 3*c + 23 - 8 = 0. Let i be (-5)\/(-6)*x\/15. Sort 2, -1.1, i in decreasing order.\nAnswer: 2, i, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21719592?\nAnswer: 2, 3, 31, 37, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 23092*x**2 - 134*x - 377. Is q(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b**2 + 2*b**2 - 36 + 5 + 30 + 1.\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 169 + -180. Sort -3, p, 1.\nAnswer: p, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -231*i**5\/20 + 64*i**2 - 158*i. Find the first derivative of o(q) wrt q.\nAnswer: -693*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155e4 (base 15) to base 16.\nAnswer: 10ce7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**4\/12 - x**3\/3 - x**2. Let r be ((-5)\/2)\/((-1)\/2). Let k be 2\/5 + (-47)\/r. Let i(n) = -n - 1. Determine k*i(o) + 4*z(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 76 = 31 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1026182200 + -2.5.\nAnswer: 1026182197.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/4)\/(2\/16). Let u be (1 + -7)*(-4)\/r. Put u, -4, 4 in increasing order.\nAnswer: -4, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = -7*s - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + n + 1173 = 0, 4*t - 3*n - 1624 = -65. Solve 0 = 7*d + 357 - t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (23 - -4) - 7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 = 4*x - 3*s, -8*s - 4*s + 13*s = -15*x - 467 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trneeeerretetenee. Give prob of sequence tn.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 11. Let x be (k + 4)*4\/70. Factor x - 2\/7*f**2 + 0*f.\nAnswer: -2*(f - 1)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 12*n = 19. Let y be n*(-14 + 8)\/6. Is y < 1\/412?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -3*q - 1, -5*r - 2*q = -6*q - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -478\/3 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2258, 16227, 53942, 127277, 248106?\nAnswer: 428303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 2 + 38. Is ((-38)\/z)\/(12\/36) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152, 164, 176, 188?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0 = m + 23, 3*m - 3*r + 45 = 0. Let h(p) = -22*p - 369. Let o be h(m). Solve 5*s + 12 = -o*l - 3, 2*l = 4*s - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 6*u - 218. Let j(x) = -x**3 - 92*x**2 - 275*x - 675. Let h be j(-89). Calculate m(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10598*1.331\nAnswer: 14105.938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 167057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, d: 5, t: 2}. Give prob of sequence dtdv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1088) + -2).\nAnswer: -24*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 7\/39, 1\/3.\nAnswer: -2\/9, 7\/39, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from eeveeeeevvive?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 6*w**2 - 8*w - 6. Let v = 155 - 160. Calculate f(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1113.11575 * 0.5\nAnswer: 556.557875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -14 - (-12)\/(3 + 1). Let p(k) = -k**2 - 10*k + 13. Let z be p(q). Suppose -6*b = -z*b - 24. Solve 10 = 3*h + 4*v, -b = -2*v + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 9:21 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 646*a = -948*a - 3089*a + 253373 + 22924 for a.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 4*o - 12 = 10*s, s = -o - 4. Sort -2\/4745, 5, s.\nAnswer: s, -2\/4745, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430196.7 kilograms in nanograms?\nAnswer: 430196700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(208) + -1 - (1 + -2*sqrt(208) + sqrt(208)))**2 + sqrt(208)*1 + 4 + 4.\nAnswer: -60*sqrt(13) + 856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -241\/1392 + 5\/48. Suppose 5*d + 21 = 2*m, -m - 9 + 2 = d. Which is the second biggest value? (a) d (b) 0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 2*n. What is the third derivative of -z**n + 0*z**2 + 4*z**3 + z - z wrt z?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -57*g**2 - 11151*g + 4119. Calculate v(-196).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = 2075*x - 2066*x for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/88 and 7\/176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*n + 51*n - 8231409 = 8716291. What is the ten thousands digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60181937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5 = 45. Let z = w - -15. Suppose -3*l - 47 + 7 = -5*v, 3*v + 2*l = z. Which is the third smallest value? (a) v (b) -1\/3 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*o - 9. Solve 2*a + o - 1 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132756 and 3649548?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5786802 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/2*(-42582)\/(-18). Suppose -13*j + m = 1091. Calculate the highest common factor of j and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3187721.999824 + 3187695. Let p = 27 + d. Round p to five decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a day in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -15, x - 5*u + 15 = -4*x. Let w = x + 48. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -26*j - 1. Let b be s(-4). Suppose -4*d = 2*w - 174, -3*d + 4*w + b = -0*d. Calculate the remainder when d is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 195 - 20 = 0. Let t be (-38)\/285*(23 - -1)*-5. Let z = p - t. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 270, 51540 in decreasing order.\nAnswer: 51540, 270, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2803, -2804, -2805?\nAnswer: -2806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1629, 1632, 1635, 1638, 1641, 1644?\nAnswer: 1647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -118, -458, -1024, -1816, -2834?\n\"Answer: -113*h**2 - h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4))\/((-14)\/(-84)). Is c at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2631635 is divided by 41?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6*y**2 + 122*y + 45. Let b be d(-20). Suppose -9*t + 4*t = 2*w + 1, 3*t = -5*w + 45. Solve 4*m = b*h + 15, -2*m - w = 4*h - m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6478, -6490, -6510, -6544, -6598, -6678, -6790?\nAnswer: -6940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -91862 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 1 + 3. Let d be 1*(0 - (-3)\/(-3)). Let u be 2\/(-2 - -3 - d). Are u and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyllllll. Give prob of picking 1 y and 1 l.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 3. Let l be z(-8). Let c(h) = -5*h - 3. Let y(m) = -3 + 7 + 5 + 14*m - 1. What is l*c(r) + 4*y(r)?\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 95190371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23696 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: Let l(i) = i - 1. Suppose 4*j + 2*m - 28 = 0, -j - 4 + 2 = -4*m. Let s(c) = 8*c - 19. Let w(b) = -4*b + 9. Let f(r) = j*s(r) + 13*w(r). Give f(a) + 5*l(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 53132.\nAnswer: -212528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*i - 3*g + 2, -4*i = 4*g. Suppose -2*j + 2 = 0, -i*n = 4*j - 3 + 1. Let t = 12 + n. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1806\/9 + 7 + -5 + 0. Let f = -203 + v. What is the closest to f in 0.05, 5, 0.2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 99 = -34. What is the remainder when 28 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 767.6 times 0.4\nAnswer: 307.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 562*x - 80*x - 8866 - 20164 - 8566 = 0 for x.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 7*w + 6. Let s be -2*(-1)\/2 + -7. Let j be t(s). Let v = -2 - -3. Is v greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 0*i**4 + 0*i**3 - 5 - 3\/2*i**2 - 2\/5*i**5 + 0*i. Find the second derivative of k(x) wrt x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6440 and 4508?\nAnswer: 45080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, 1.5, 1\/13, 2, -0.04?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1537165793.\nAnswer: 29, 53005717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -187080 + 0?\nAnswer: -187080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**5\/60 + 3*b**4\/8 + 4*b**3\/3 + b**2. Let o be y(-9). Let m be (-22)\/24 - (-2)\/o. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 140 = 2*f - 144, q - 6*f = -2*f - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 9655882 and 9655881 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 5*b**4\/6 + 29*b**3\/6 + 27*b**2 - 2*b. Find the first derivative of y(t) wrt t.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 514, 563, 602, 625, 626, 599, 538, 437?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 11. Let l be m(-9). Suppose -2*y + q + q + 42 = 0, -4*q = -l*y + 52. Solve -3*x = 5 + 1, -2*x + y = -4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1\/3))\/j*j**4)**(-14)*(j**(-7)\/j*j**(1\/2))**23 assuming j is positive.\nAnswer: j**(-1399\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -28, -38, -48?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17)\/(-57) - 3\/9. Let l(d) = d**3 - 13*d**2 - 15*d + 12. Let x be l(14). Let z be (x\/10)\/(3\/(-15)). Is z smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 173 + -0.7\nAnswer: 172.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - t + 0*t)*(2*t + 7*t + 2*t).\nAnswer: -11*t**2 - 11*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 14915*m + 268450. What is h(-18)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -45, -113, -167, -201, -209, -185, -123, -17?\n\"Answer: a**3 + a**2 - 78*a + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31*b**2\/2 - 501451*b\/2 + 40440.\nAnswer: -(b + 16176)*(31*b - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2. Let m(t) = t**2 + 1. Let v(d) = 13*d**2 - 5. Let h(f) = -6*m(f) + v(f). Let s(p) be the first derivative of h(p). Determine s(w(j)).\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) + (-28)\/(-16). Let k be 2 + 0 + 0\/j. Suppose k*i = 3*d - 15, 3*i + 4 = d - 8. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3704 and 98\/423 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*2*sqrt(300) + -2 + sqrt(300) + -3).\nAnswer: 20 + 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 9*p = -3*z - 31, 24 = -3*p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*t - 10*t + 25*t**3 + 16*t**3 wrt t?\nAnswer: 246*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t + 0 + 3*t**2 + 1\/6*t**4 + 5\/3*t**3. List the prime factors of h(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*n + 3*u, -4*u - 4 = -2*n - 0. Let f(y) = y**2 - n*y**2 - 7*y + 2 + 3*y - 4. What is f(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 18.9. Let i = h + 1. Suppose 0 = -5*p - w + 5, -2*w + 4 = -6. Is p less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2 + 2)*(-3*v + 4*v + 0*v) + (v + 2*v - 5*v)*(-2 - 2 + 2) + 4*v - v - v - 2*v - 3*v + 4*v)*(-4*v**4 + 2*v**4 + 5*v**4).\nAnswer: 12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 240 - 109 + 4*w - 130 - 2*w**2 - w. Let o(k) = -5*k**2 + 7*k + 3. Determine -3*o(m) + 7*q(m).\nAnswer: m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1627236 from -0.0268043.\nAnswer: 1627235.9731957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 289.2546ml?\nAnswer: 0.2892546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -13*v**7\/210 + 3*v**4\/8 + 8*v**2. Find the second derivative of b(f) wrt f.\nAnswer: -156*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42265 - 42607.78. Let d = q - -346. Let t = d - 0.22. Which is the second smallest value? (a) t (b) -0.3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29.021 - -0.021. Is d at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 139239984 + -0.4\nAnswer: 139239983.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*z**2 + 3 - 23 + 645*z**2 + 8 + 12 - 348*z**2.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 3 + -17 - -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198 and 60?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 3*i - 4*v + 2, -2*i + 4*v = -42. Let r be (-6)\/10 + 5244\/i. Let s = 119 - r. Round s to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 5*r + 5 = 12, -5*s + 2*r - 9 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -11*2\/(-72) + 2\/(-8). Let f(y) be the first derivative of -2 + 1\/6*y**2 - 2\/9*y**3 - k*y**6 + 0*y + 2\/15*y**5 + 0*y**4. Solve f(b) = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -427 in 123, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -12. Let b = 13.09 - 13. Let p = b - -0.01. What is the closest to 2\/7 in p, 1\/7, h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1686236 divided by 421559.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26602134 times 0.3?\nAnswer: -0.079806402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b1 - 1490a?\nAnswer: -149bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20165*a**2 + 1 + 4*a - 4*a.\nAnswer: -20165*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 23 - (-4 - (-3 - -1)). Let y be ((-800)\/(-24))\/((-2)\/(-3)). Calculate the highest common divisor of u and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13812586 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 divided by 5021?\nAnswer: -77\/5021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 3)*-9*8\/16. Suppose 10 + 0 = 2*n. Suppose 4*d - 12 = -4. Solve n*z - y = -v - 0*v, 0 = d*z - 2*v - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -1 - (4 + -3)) + 2 - 6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*6*(0 + sqrt(7)) + 5*sqrt(700)*2.\nAnswer: -5 + 70*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-1))\/((-3)\/(-1)). Let k = 0.412 - 4.472. Let c = 5.06 + k. What is the closest to -3\/4 in 1\/2, f, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 12:11 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express b - 98 - 124 + 283 + 0*b - 255 as g*b + d and give d.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k*k\/k**(-1\/6))\/k*k*k)\/k)\/k**(1\/4))**(-5) assuming k is positive.\nAnswer: k**(-175\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + -0.2. Let l = -14.55 - -15. Let h = -0.65 + l. What is the closest to 3 in 5, h, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -123 or -858\/7?\nAnswer: -858\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*h = r - 1, -2*r = 5*h - 7. Let n(s) = 2*s**2 + 14*s - 4. Calculate the lowest common multiple of n(r) and 14.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -10*v**2 + 2\/3*v**3 + 18 + 4\/3*v**4 + 0*v. Let p(q) be the second derivative of m(q). Differentiate p(g) wrt g.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 4, -1, 9.\nAnswer: -1, -0.03, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -3, 2, -3457?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, 6\/17, 4?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-92)\/(-28) - (-4)\/(-14). Let n be -11 - 2\/3*-9. Sort 5, i, n, 8 in decreasing order.\nAnswer: 8, 5, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((8360\/4750)\/(2\/5))\/((-180)\/3150)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/6300 and 9\/3626.\nAnswer: 1631700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 4) to base 11\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 3:03 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 4*h = 2. Let i be -280 - (h - (3 - 2)). Find the common denominator of (-4)\/16 - i\/32 - 3 and -149\/42.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2520, 2490, 2460, 2430, 2400, 2370?\n\"Answer: -30*r + 2550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wia when three letters picked without replacement from {i: 2, a: 1, w: 1, l: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 126 - 231 = -43*w. Factor -172\/5*p**w - 224\/5*p + 292\/5*p**2 + 64\/5 - 4\/5*p**5 + 44\/5*p**4.\nAnswer: -4*(p - 4)**2*(p - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.56 - 10.43. Round h to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 2. Suppose 5*f = 10*f + 20. Let h be (f + 1 + 1)*-5. Solve -2*o + h = 4*b, 1 = -x*o + b - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121260203 and 501?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -518*i - 44556. Let s be r(-86). Let j(o) = -o**2 + 5*o - 5. Let d(n) = -3*n**2 + 9*n - 11. Let m(q) = -2*d(q) + 5*j(q). Calculate m(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0159 + 1.9399. Let p = u + 0.076. Which is the nearest to -0.1? (a) -6 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -16 + 14 - 0\/(-1). Let t be ((-561)\/6 + 0)*j. Suppose -d + 3*g + 11 = -12, 3*g - t = -5*d. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 3850961.\nAnswer: -7701922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4790022?\nAnswer: 2, 3, 17, 151, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2748274116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4221\/733886 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-183802)\/(-18) + 2\/(-9))*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 80647394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -471?\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*b + 26, 3*s + 5 = 2*b - 12. Let c = -10 - -11. Let z be (c - (0 - -2))*-1. Put z, -5, s in descending order.\nAnswer: z, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, -2\/5, 9, -2, 4 in decreasing order.\nAnswer: 9, 4, -2\/5, -2, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-72) + 2\/12. Let l = -1469\/2 + 3051\/4. Let t = 29 - l. Which is the closest to 1\/3? (a) t (b) m (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 (base 14) in base 10?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 9:28 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 104491\/49, 0.2, -1\/3 in decreasing order.\nAnswer: 104491\/49, 0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1356)\/(-26) - 2\/13. Let n be (-2 + l)*(-6)\/(-5). Does 30 divide n\/(21\/12 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2143 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w - 2 = 0. Solve 2*b = w*p, 5*b - 4*p = 3*b - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -52. Let t = d - 13.4. What is t rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15841 + 5*z**2 - 15841.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*w = -131, -4*h + 136 = -3*w - w. What is the remainder when h is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 4*k**2 + 5*k + 8. Suppose 2*a + 4*n = 2 - 26, -n + 16 = -5*a. Let w be y(a). Is w >= -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47.2 - 51.2. Which is the nearest to -91? (a) 3 (b) 0.4 (c) -0.1 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1022)\/(-210))\/73*-15\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + b**2 - 5*b**2)*(-2 + 2*b + 2) + 38*b**3 + 32*b**2 - 32*b**2 + (28 - 28 + 9*b**2)*(0*b - 3*b + 4*b).\nAnswer: 43*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 349 (b) 5 (c) -9\/166\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qup when three letters picked without replacement from {u: 1, j: 1, q: 1, p: 2, a: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 12 = 2*k, 2*y = -k + 3*y - 14. What is k rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -11.3?\nAnswer: 124.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 2*d**5\/45 - 8*d**3\/27 - 32. Solve c(o) = 0 for o.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4865486*g**3 + 47*g**2 + 143837*g wrt g?\nAnswer: 29192916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - 2*f + 3*f)*(450 + 22*f + 27*f - 448) in the form m*f + t + z*f**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-6) - 39\/(-6). Let s be -4 + (-33)\/(-9) - (-182)\/6. Suppose 20 = -3*f + q*f + a, 3*f - a = s. What is the remainder when f is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 57 = -3*d, 4*u + 11 = -5*d + 74. Let g be ((-628)\/u + -1)*-4200. What is g rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 - 66*m**2 - 45*m + 5400.\nAnswer: 3*(m - 15)**2*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t = 280. Let b = 59 - 31. Calculate the highest common divisor of t and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 11:23 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - 11) + 13 + (3 - (-2 + 3)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 4*c - 2*c)*(c**3 + 5*c**3 - 4*c**3) + 4*c**3 - c**4 - 4*c**3 + 2*c**4 + 0*c**4 - 3*c**4 + (c - 4*c + 4*c)*(c**2 - 3*c**3 - c**2).\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 56. Let r = 41 - l. Suppose 5*u = x + 4*x + 360, 0 = -4*u - r*x + 252. Calculate the remainder when u is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (174*f + 332*f + 404*f - 77*f)*(-1 - 3 + 6).\nAnswer: 1666*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5\/2 + 102899*r**4 - 10580380989*r**3\/2 - 402500345794*r**2 - 7650330749618*r = 0. What is r?\nAnswer: -38, 0, 102937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*w + 46*w + 32. Calculate the remainder when w is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4155*x**2 - 70 + 20 + 27 + 23.\nAnswer: -4155*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -6. Suppose -j - 2 = k*x - 14, -5*x + 2*j = -12. What is the remainder when x + -2 + 17 + -1 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 3*sqrt(300)*-2*3 + -2*(1 + sqrt(300) + 1) + 1)*5)**2.\nAnswer: 20000*sqrt(3) + 3000100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 138?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 divided by -8731?\nAnswer: -279\/8731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1102?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 - (28 + (-1 - -8)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l - 23 = -3*o, -2*l - o + 21 = 0. Calculate the greatest common factor of 40 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 10:20 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 129 (b) 3 (c) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103*h + 17 + 117*h - 6)*(0*h**2 + 2*h**2 + 0*h**2).\nAnswer: 28*h**3 + 22*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(5\/2))**(-16\/7) assuming d is positive.\nAnswer: d**(-40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 394126, 5, 1.\nAnswer: 1, 5, 394126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 21*i + 65. Let p be m(-14). Let b = p + -66. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 8*p**2 - 7*p - 11. Give l(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 17*u + l = -5, -3*l = u + 15. Suppose u = -135*b + 139*b - 2344. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1164*t - 52325. What is s(45)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3\/11 + 128*z**2\/11 + 122*z\/11 - 252\/11 = 0. What is z?\nAnswer: -63, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*h + 983 + 794, -2672 = -3*r - h. What is the greatest common factor of r and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**2 - 39*t - 23. Determine u(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9504*n**2 + 4*n - 2 + 5*n - 7*n - 9508*n**2 - 118*n**3 in the form c*n + d*n**3 + g + j*n**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = p + p. What is the greatest common divisor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t. Let h(x) = 4*x - 3. Let j(p) = -p + 1. Let w(z) = h(z) + 3*j(z). Let n(y) = 2*y. Let m(r) = -n(r) + 4*w(r). Calculate d(m(k)).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 14 = 169. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -308142 to the nearest 1000.\nAnswer: -308000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 7, 4, 5 in increasing order.\nAnswer: -0.09, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -15*y - 73. Put -23, y, 1 in ascending order.\nAnswer: -23, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x + 1426 = -5*u, x + 3*u - 494 = 0. Is 481 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 874.1612 decades?\nAnswer: 104899.344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - -13) + 12 - -9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**5)\/(d\/d**(1\/2))*d\/(d*d**6)*d\/(d*d\/d**(2\/3)*d)*d*d assuming d is positive.\nAnswer: d**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4*j**2 - 2 - 28*j**2 + 67*j**2.\nAnswer: 35*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2. Let f(s) = 3315661*s. Give f(c(g)).\nAnswer: 6631322*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 1582378.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248779562.\nAnswer: 2, 53, 2346977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 55)*(-30654)\/(-270777)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y + 8. Let v be n(4). Suppose 2*a + 1 - 5 = v. Solve -a*c = -3*c - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 1 - 1)*(-2*o**3 - o**2 + o**2) - 2*o**4 + 0*o**4 + 3*o**4 + (-2*o**3 + 5*o**3 - o**3)*(4 - 4 + 2*o) + 4 + 2*o**4 - 4.\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.152 + -0.161. Let o = p - -0.00900118. Round o to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 133*c + 1132. Let i be y(-135). Solve 8*z + 902 = i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/25))**(2\/43) assuming u is positive.\nAnswer: u**(2\/1075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1858933 - -1451826925\/781. Let h = -10\/71 + u. Let y = 0.001 + 0.199. Which is the nearest to 0.3? (a) 2 (b) y (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11613 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 32, 115, 262, 479, 772, 1147?\n\"Answer: n**3 + 26*n**2 - 2*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 422466 divided by -37.\nAnswer: -11418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 22 + 0*c**2 - 69*c - 3*c**2 + 9*c**2 - 2*c**2. Let r be d(17). What is the derivative of r - 8*y**2 + 2 + 21*y**2 wrt y?\nAnswer: 26*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/108*4\/(-7)*(-7)\/60?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -181 + 190. Let r(l) = l**3 - 10*l**2 + 10*l - 12. Give r(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 7. Suppose 2*h - y = -2*h - 35, -4*h - 26 = 2*y. Let s be 9\/42*h\/(-6). What is the second biggest value in s, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2750.8 times 0.2?\nAnswer: -550.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20334949, 20334951, 20334953, 20334955, 20334957, 20334959?\nAnswer: 20334961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.558442 rounded to three dps?\nAnswer: 0.558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-6)*(8 + 88\/(-8)). Let r be (4\/8*-2)\/((-1)\/w). Solve -y = 2*b - 9, -4*y = r*b + y - 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 582*k - 6. Let q be v(1). Suppose 2*u - 7*u - p + q = 0, -p + 461 = 4*u. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmdmdwdmwmmdmdmmd. Give prob of picking 3 m.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**7\/360 - c**5\/40 + c**4\/6 - 4*c**2. Let m(v) be the second derivative of p(v). What is the derivative of m(h) wrt h?\nAnswer: 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51661793 to the nearest integer?\nAnswer: 7188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 157 and 6.92.\nAnswer: 1086.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -8*f**2 + f. Let o be j(1). Let q be (99\/(-21) + 3)*o. Suppose -h = 5*u - 8, 0 = -4*u - h + q - 5. Put u, 0, 5 in decreasing order.\nAnswer: 5, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110100001111 (base 2) to base 12.\nAnswer: 1b27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 2*j = -5*u - 5310, 0 = 4*j - 12. Is 156 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/4))**18\/(i*i**2\/i*i*i*i\/(i*i**(-1\/14))))**(10\/7))**(1\/11) assuming i is positive.\nAnswer: i**(-600\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a0a5 + -31?\nAnswer: a074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -0.016, -5 in ascending order.\nAnswer: -5, -1\/5, -0.016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-10) - 5\/(425\/748)) + 258\/21.\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 15 = -5. Suppose -4*i = -k*n + 140, i = -5*n - 3*i + 140. Suppose 6*w - 2*w = n. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 780 and 468.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-3) + 0 + 4 + -7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -377406 by -41934.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**2 + 4*y + 91680. Let t be w(0). Suppose 63*p = 79*p - t. Round p to the nearest 100.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 180 + -100. Determine w so that -3*w**3 - 4*w**3 - 14*w**3 - 125*w**4 + a*w**2 - 20*w - 4*w**3 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*h + 9*h**2 + 17*h - 8*h**2 to p*h + o*h**2 + j and give p.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 125\/3, 6\/11, 0, -0.1, 1\/2 in descending order.\nAnswer: 125\/3, 6\/11, 1\/2, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.9 + 3. Let i = -660 - -21782\/33. Let p = -16.84 - -21.84. Which is the second smallest value? (a) p (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 - 8*v - 38. What is u(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47036?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 32*s**2 + 32*s + 35. Let z be n(-31). Let v(h) = 370*h + 4. Let p be v(z). Suppose -4*o = -4448 - p. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2\/d)\/d**(2\/3))**(-11) assuming d is positive.\nAnswer: d**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24486)\/(-424)*8\/3. Which is smaller: z or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40001520 divided by -156.\nAnswer: -256420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + o + o + (1 + 0 + 0)*(-142 + 81 - 190)*(-2*o + 6*o - 2*o) + (1 - o - 1)*(-2 - 3 + 3).\nAnswer: -498*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 4*m - 2. Let v be w(5). Solve -p - v*k = -10, 0*p + 2*p = 2*k + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 40*w - 43*w. Suppose 0 = -w*b - 4*z + 399 + 323, -5*z - 1418 = -4*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100)*1)**2 - (-2 + sqrt(176))**2) + ((sqrt(110) - -2*sqrt(110))*-2 + sqrt(110))\/(sqrt(10) + (sqrt(160) - (sqrt(160) + sqrt(160)*-1))).\nAnswer: 15*sqrt(11) + 920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-55)\/(-35) - 6\/(-14). Let n = o - -6. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t - 40 = -16*t + 60. Let g(m) be the third derivative of -1\/330*m**5 - 26*m**t + 1\/66*m**4 - 1\/33*m**3 + 0*m + 0. Factor g(n).\nAnswer: -2*(n - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 4*l - 16 - 7 = 5*l, -18*k - 102*l - 326 = -13*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 11\/2*v**4 + 0 - 19\/2*v**3 + 2*v**2 + 2*v**5 + 0*v = 0. What is v?\nAnswer: -4, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 5*i - 35 = 0, 3*w - 2*i + 5*i = -30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -15*f**2 - 97*f + 1948. Determine r(9).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -7*c + 10. Suppose -c*y = 0, -39 - 1 = -4*d + y. Let k = d + -8. Solve 3 = -z + j, -5*z + k*j - 17 = 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 10 = 5*u, 0*l + 2*l + 14 = -4*u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 888925 - 10610*y + 19*y**3 - 888925 - 73*y**4 wrt y?\nAnswer: -876*y**2 + 114*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16381885\/186 + 88074. Calculate the common denominator of ((-2)\/(-60))\/(60\/7575) and v.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4794 and 850?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2342 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/6*26)\/(-3). Suppose -m*h + 1139 = -2007. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 178 by 4.\nAnswer: 89\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1283*u**3 - 184*u**2 + u.\nAnswer: 7698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -143*v**2 - 4455*v - 105*v**3 - 131*v**2 - 869*v**3 + 276*v**2 - 190*v**3 wrt v?\nAnswer: -6984*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1321 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -11*u + 2. Is 17 a factor of o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 + 123. Let g = x - -20. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 266885 (base 14) to base 3.\nAnswer: 2111021120220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 10:46 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + p + 29844, -4*y - 5*p + 32202 = 2358. List the prime factors of y.\nAnswer: 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3221 - -30230?\nAnswer: 22004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 7*o**2 + 8*o + 9. Let m be b(-6). Suppose 3*x + 0*x = -33. Let i = m - x. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + 1 + (-1 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + (sqrt(192) - -5*(sqrt(192) + -1) - sqrt(192)) + sqrt(192))**2.\nAnswer: -560*sqrt(3) + 9433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(-30))**(-13) assuming i is positive.\nAnswer: i**390","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-6) - (-3)\/(-9). Let q be (2 - y)\/((-1)\/(-3)). Let j(r) = 5*r**2 - r + 3. Let t(f) = -4 + 1 - 5 + 2*f - 11*f**2 + 1. What is q*t(o) - 7*j(o)?\nAnswer: -2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 3*p + 5, -288*p - 9 = -285*p - 3*a for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 280144?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-30)*9\/(-3))\/(1\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4\/3)\/(v\/((v*v*v*v**(-3\/25)*v*v*v*v)\/v)) assuming v is positive.\nAnswer: v**(266\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 5 (c) -881\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(104) + (sqrt(104) - 1*sqrt(104)*1))*3)\/(sqrt(40)\/(sqrt(135)\/sqrt(3) - sqrt(5))).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8900, -7609, -5456, -2441?\n\"Answer: 431*d**2 - 2*d - 9329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8fea5e (base 16) to base 3\nAnswer: 122202011210020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 + 4*r**5 - r**5 + (3 - 3 - 1)*(-8*r**3 - 8*r**5 + 6*r**3 + 12*r**5).\nAnswer: -3*r**5 + 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -26.762 from -160.6.\nAnswer: -133.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -719*r**5\/20 + 10*r**4 - r**3\/3 + 13*r**2\/2 + 2312*r. Find the third derivative of i(t) wrt t.\nAnswer: -4314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2251*y + 2258*y - 118*y**3 - 2*y**4 + 122*y**3 to the form z*y**4 + c + p*y**2 + k*y + w*y**3 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 112 + -75. Suppose -2*m + i + 3 = 5*h, 5*h - 40 = -3*m. Solve -s - h = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**2 - i**2 + 4*i**3 - 13*i**4 + 12*i**4 - 4*i**2 - 2*i to the form v*i + g*i**4 + m + o*i**2 + q*i**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16\/8*6\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7844 minus -10986?\nAnswer: 3142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*z - b = 87*z - 4*b + 10, 4*b = 4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 9:58 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 6*u. Let n be q(-2). Which is greater: n or -9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 267?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 23861, 95425, 214699, 381683?\n\"Answer: 23855*n**2 - n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3536709 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 the remainder when 100 is divided by 60.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 16724600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 + 159. Let i = -87 + m. What is the greatest common factor of 8 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6636428223.\nAnswer: 3, 41, 53954701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 1. Let j be i\/10 + 285\/25. Suppose -j*d + 9*d = -48. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 11.7. Which is the second biggest value? (a) j (b) -5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-560)\/1188 + (-558)\/(-1023).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -60457, -96179, -131901, -167623, -203345?\n\"Answer: -35722*t - 24735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -211 - -216. Suppose 38 = 5*t + a + g, 4*t + 5*a = 39. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6381622, 6381634, 6381646, 6381658, 6381670?\nAnswer: 6381682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 6. Let u be n(-6). Suppose u*i = i - 5. Let a be -2*1\/(-12) + 2327\/78. Solve i*o + 2*t - a = -3*t, o - 5*t = -18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11729797?\nAnswer: 11729797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 161, 319, 541, 827?\nAnswer: 1177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, -24, -71, -116, -153, -176, -179, -156?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 9*p**2 - 2*p + 12. Calculate s(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*t = -15. Let r(m) = -4*m**3 + 2*m**2 + 1. Is r(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -3*u - 29*z, 5*z + 1 = 2527*u - 2529*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 3.8. Let z = 6 + -6.4. Let n = -7 + 11. What is the nearest to 0 in n, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 6 - 21 = 0. Suppose 0 = 3*a + 6, -2*h - r = 2*a - 5. Solve 5*t + 3*k = 31, -h*k + 14 = 2*t - k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1515 (base 7) in base 5?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94 by -5.\nAnswer: 94\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.056 and -0.2.\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0492 + 0.0492005647. What is z rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -60, -132, -232?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ennnneeneenen. What is prob of sequence nnee?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -58 + 61 - (-5 + (-1 - (-42 + 3)))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -6\/7, -3.\nAnswer: -3, -6\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from {y: 2, w: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2*q)*(0 + 1 - 4) + 4*q - 39*q - 6*q - 3*q + q + 4*q - q + 5*q - 2*q to the form g*q + r and give g.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, p: 4, r: 5}. What is prob of sequence pw?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 584124.\nAnswer: 584124.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 30*b**2 + 30*b + 150. Let v be (11 - (-156)\/(-36))\/((-4)\/(-18)). What are the prime factors of g(v)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 16 = -19. Let b(k) = -7*k + y - 3. Let a(s) = -3*s + 5*s + 3*s - 3*s. Give a(b(d)).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 235 = 2*u, 3*d + 7*u - 6*u = 695. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1014885918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5757 (base 14) to base 3\nAnswer: -202210211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 + 26*g**3 - 9*g**3 - 13*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870797.\nAnswer: 211, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from diiogdggdoagwggiad. What is prob of picking 1 a and 1 g?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 251528.55 months?\nAnswer: 2096.07125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**2 + 31520*p - 124188800 = 0?\nAnswer: 7880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 11:26 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h**7\/168 + h**4\/12 - h**3\/2 + 3*h. Let y(b) be the second derivative of z(b). What is the derivative of y(o) wrt o?\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -106 + 26 + 250 - 4857*s**2 + 389 wrt s.\nAnswer: -9714*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + (-2 + sqrt(720) + -2)**2 + (sqrt(720) - (sqrt(720) + (sqrt(720) + -2)**2 + -2)) + sqrt(720).\nAnswer: -24*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -50*r + 13*r + 17*r + 12*r - 2. Let p be -1*3\/6*-14. Let c(d) = -9*d - 2. Determine p*f(u) - 6*c(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 - 5*l**2 - 2*l - 10 + 8 - 2*l**4 in the form u*l**3 + v + d*l + q*l**2 + n*l**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/4 + 196252*c + 785009\/4.\nAnswer: -(c - 785009)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/2*33004\/3345*4\/((-64)\/(-24))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*n = -9*n - 7990. Let l(u) = -3*u - 2. Let p be l(-12). Calculate the highest common factor of n and p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.3 - -13.8. Which is the nearest to -2? (a) 0 (b) 2\/9 (c) o (d) -68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36193 - -36195. Let s(m) be the third derivative of m**5\/60 + m**4\/12 - m**3\/6 - m**2. Let n(o) = 2*o**2 + 2*o - 2. What is g*n(r) - 3*s(r)?\nAnswer: r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20113222 + -14?\nAnswer: -20113241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from {e: 1, g: 2, i: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 - 9*w**2 + 2*w - 7. Let k be g(-5). Sort -4, 4, 1, k.\nAnswer: -4, 1, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*z - 4*z. Suppose z*c - 76 = 4. What is the remainder when c is divided by (0 + 1)*(11 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(272) + 0 + -3*sqrt(272) + -3)**2 + -4.\nAnswer: 48*sqrt(17) + 1093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 4. Let d be m(-4). Find the second derivative of 1 - 10*y**2 - 3*y - 1 + d*y wrt y.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -329\/586, 3\/2, -2\/43.\nAnswer: -329\/586, -2\/43, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41912 + -41902. Solve -u*k + 539 = -87*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-39)\/5 + 8 + (-422336)\/(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c71 + -77?\nAnswer: bc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, o: 1, v: 1, f: 4, y: 2}. Give prob of sequence mo.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s - 2. Let x = 48 + -45. Suppose -2 = x*z + 4. Calculate k(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/sqrt(2) + 0 + 5)*5 + 5 + -2)**2.\nAnswer: 280*sqrt(3) + 859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.9 - 3. Let h = 40\/87 - 746\/2001. Is h smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13, -8, -41, -92, -167, -272, -413?\n\"Answer: -t**3 - 14*t + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)\/x)\/x**(1\/18) assuming x is positive.\nAnswer: x**(-127\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-72) + (-245)\/(-9). What is the first derivative of -o*n + 17*n + 11 + 13 wrt n?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*r + 32 = 0, -2*r - 2*r = -2*y + 28. Solve 142*h - y = 143*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*-3*(-4)\/(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 2*s + 2. Let j(l) = l - 1. What is -6*j(v) - 3*r(v)?\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -37 + -7 + 4 + (14 - 2) + -4.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*b + 38*b + 2352*b**3 + 20*b + 2112*b**3.\nAnswer: 4464*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 + -77 - (-2 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3885218147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 1 - 6) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9111326 to the power of 1\/3, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*m - r, -4*m + 103*r - 101*r + 16 = 0. Let p = -13 + 3. Is p smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 292371 and 8597609.\nAnswer: 2377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -118 - -97.3. Let i = 140.2 - m. Let w = 152 - i. Round w to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195682433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 2*h - 1. Let z be v(-3). Suppose -z*y - 20 = -4*y. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*z**3 + 2386*z - 2386*z)*(-3 + 6 - 2)*(5*z + 2*z - 4*z) - 7*z**4 + 3*z**4 - 4*z**4.\nAnswer: -209*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*l - 7 - 5 = 0, 0 = -3*j - 3*l - 3. Suppose -4*g - j*s - 504 = -6*g, 251 = g - s. Let t = g - 102. Is t a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyaoazaoafazazzyx. What is prob of sequence xzo?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2888)\/(-38)*4\/(-16)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Calculate the common denominator of w\/(-6) + 518\/(-48) and 52\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 5*d - 249. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**4 - a**3 + a**2 + 2. Let f be d(2). Suppose -3*p + 6*p = f. Solve 2*j + 0*j = p, -h = -j + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 1a7b?\nAnswer: 1a78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from spvpx. Give prob of sequence psvx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 + 28*a + 38. Let j be m(-17). Let c be ((-4)\/6)\/(j\/(-30)). Which is smaller: -2\/9 or c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 - -33924.\nAnswer: 34076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*w**3 + 215*w + 225*w - 440*w.\nAnswer: -28*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4055, 30544, 102431, 242414, 473191, 817460, 1297919?\n\"Answer: 3783*j**3 + j**2 + 5*j + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -13*v**2 - 76*v - 20. Let f(o) = 4*o**2 + 25*o + 6. Calculate -7*f(a) - 2*y(a).\nAnswer: -2*a**2 - 23*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 356 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5 = -0. Let k = 3626 - 3624. Which is the second smallest value? (a) k (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or -417\/17?\nAnswer: -417\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -1\/6 (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 0.44479.\nAnswer: -0.222395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 - -82. Let b(w) = -1 + 3 + 29*w**3 - 28*w**3 + a + 3*w + 11*w**2 + 8*w. Determine b(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18821 - 18886.992. Let r = y - -65. Round r to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191777 is divided by 78.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 203, 467, 833, 1301, 1871?\nAnswer: 2543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**5\/4 + 20*w**4 - 4801*w**3\/4 - 20*w**2 + 1200*w = 0. Calculate w.\nAnswer: -120, -1, 0, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9078666 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -17*z. Let a(v) = -v. What is a(l(t))?\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 9*p - 295. Calculate k(39).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 314 = 4*n - 18, x + 87 = 2*n. Let l = x - -106. What is the remainder when 76 is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1207186.39 times -0.4\nAnswer: 482874.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(32\/(-24)))\/(6\/(-4)). Let -q**2 + 6*q + k*q**4 - 4 - 3\/2*q**3 = 0. What is q?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j - 27*j**3 - 200*j**2 + 104*j**2 + 95*j**2 to the form k*j**3 + n*j**2 + l*j + a and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6418 divided by -13?\nAnswer: -6418\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t. Let g(l) be the second derivative of l**3\/3 + 1238*l**2 + 273*l - 4. Determine k(g(d)).\nAnswer: 4*d + 4952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-35 - 0 - -7)\/(0 + -2). Suppose -22*w = -u*w - 45352. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 5*j**2 + 5*j - 4. Let b be h(-6). Let o = 1 + -4. Let p = o + 6. Solve 5*m = -3*k + 20, 4*m + b = p*k - 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40463, -5, 1, -1, -4 in ascending order.\nAnswer: -5, -4, -1, 1, 40463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*sqrt(4)\/sqrt(2)*-1 + -2*(-1 + 1 + (sqrt(2) - (sqrt(2) + -1))).\nAnswer: -2 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12782.984 + -12739. Let c = u + 0.016. Let p = -44.00000067 + c. Round p to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-1 - 0) + 60 + -62\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17682*c + 3*n - 12 = -17685*c, -17*c - n + 110 = 2*n for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 1 - 3*j - 7*j - 17. What is the units digit of w(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/66)\/((-200)\/136400)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*c**2 - 2*c**3 - 6*c**2 - 199 + 199.\nAnswer: -2*c**3 - 86*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 3*q - 19. What is j(6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**4 - 21*i**3 + 274*i?\nAnswer: -36*i**2 - 126*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 3. Does 9 divide v(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11824 is divided by 910?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 15) to base 9.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238200?\nAnswer: 2, 3, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 7. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*j = 17*j - 68*j + 7923 for j.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 736 (base 13) to base 10\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*p + 44*p. Is 11 a factor of ((-3256)\/185)\/((-1)\/5 + p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3901501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29.6 - -31. Put -0.02, d, 3\/7, -0.4 in decreasing order.\nAnswer: d, 3\/7, -0.02, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 495 or 491?\nAnswer: 495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - 4 - 16*i**2 + 6 + 4*i**2.\nAnswer: -13*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**5\/240 - y**4\/96 + 9*y**2\/2 - 20. Let i(k) be the second derivative of x(k). Find l, given that i(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.092 times -1.1?\nAnswer: -0.1012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 69381181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -243*n**4 - 72954*n**3 - 5260791*n**2 + 32245668*n - 47473452.\nAnswer: -3*(n + 153)**2*(9*n - 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 2:50 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**2\/5 + 4108*h = 0. What is h?\nAnswer: -5135, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2 - 5*f + 2. Let n(u) = -14*u + 73. Let j be n(5). Let i(v) = v**2 - v + 1. What is j*i(s) - r(s)?\nAnswer: -s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -6*k - 8*k + 12*k - k. Let u(r) be the second derivative of 0 + 0*r**2 + r - 1\/3*r**3. Calculate l(u(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 4*b - b. Suppose 2*y = -0*y + b. What is the remainder when -2 + 10 - 11\/((-44)\/108) is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-84)\/(-30))\/(12\/10). Let w be (-30)\/(-16)*(51 + (-1804)\/36). Solve 7\/3*i**4 + 0 - a*i**2 - 2\/3*i - i**3 + w*i**5 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -801 - -458. Let a = -343.00001085 - v. Round a to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1413372\/5 bigger than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -243974 greater than -243976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 9*y**2 + y - 9. Let x be k(-9). Let n = x + 24. Differentiate n - 46*s + 46*s + 8*s**2 wrt s.\nAnswer: 16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(175) + 0 + sqrt(175) + 4)**2 + -3*sqrt(21)\/(sqrt(3)*2 + sqrt(3))*3.\nAnswer: 77*sqrt(7) + 717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4993*k**4 - 1668*k**2.\nAnswer: 119832*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 5*j + 5*y, 6 = -380*y + 379*y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -37*q + 7185. What is the hundreds digit of r(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345 a factor of 66237457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1335551 times -0.2?\nAnswer: 267110.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 18*2\/(-2). Let q = 21 - t. Solve -2 + q = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 66*j + 124.\nAnswer: 2*(j - 31)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -0.1, -77699, -2\/5 in increasing order.\nAnswer: -77699, -2, -2\/5, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*j - 5. Suppose -3*a + 13 = -j. Is a\/(-2*1)*-2 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2761496935 to the power of 1\/2, to the nearest integer?\nAnswer: 52550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 851249 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -1\/2*z**2 + 21*z + 8. Let c be d(0). Solve -9 = -4*r - c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 - 0. Suppose -h = -4*r + 88, -58 = -5*r + 3*r + 4*h. What is the remainder when s is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-3)\/(-30) - (-48)\/(-10). Let t be 3*(-6)\/60 + 45\/18. Which is the third biggest value? (a) k (b) -2\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1239, 1\/2, 4, -9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*h + 551 - 236. Solve 3*k = -3*n - h, 5*n + 3*k - 13 = -44 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 289654313, 289654312, 289654311, 289654310?\nAnswer: 289654309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29804 + -30216. Which is smaller: j or -414?\nAnswer: -414","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -236.95738099 - 0.0537.\nAnswer: -237.01108099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o - 9. Suppose 7*s - s - 18 = 0. Suppose -2*v - 17 = s*g + 7, -4*g - 46 = 5*v. Give t(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 23481*u**3 - 23449*u**3 + u + 9*u**2 to the form h*u**2 + o + m*u**3 + f*u and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -28. Calculate the highest common factor of v and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34864 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 7*u + 11. Let o be (-2)\/(-3) + (-14)\/(-6). Let z be 10\/4 + o\/6. Let s(m) be the second derivative of 2*m**3\/3 + 3*m**2 + 36*m. Give z*a(t) - 5*s(t).\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**3*g**2 - 1743*b**3*g - 8461*b**3 - b*g wrt g?\nAnswer: -4*b**3*g - 1743*b**3 - b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**3 + 1063*j**2 + 710*j - 34. Give a(355).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2025 and 10?\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1035 = 4*h + 257. Round h to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 53*f + 108. Let p be s(-40). Is p greater than or equal to 628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h - 7. Let j be g(8). What is the first derivative of 9 - j*t - 9*t + 7*t wrt t?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*j - 210 = 287*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*s = -4*i + 696, 6175 - 6231 = 2*s + 4*i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6566 and 7801346?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12471296 divided by -4.\nAnswer: -3117824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35.61687886 - 281.61689316. Let n = 1234.8 + -1480.8. Let r = p - n. Round r to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(-20*m**4 - 33*m**2 + 33*m**2) + 53*m - 14*m**4 - 53*m.\nAnswer: 26*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -m + 6*r - 143, 1119 = 590*m + 5*r - 150 - 56 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237545417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12232 - -3?\nAnswer: 12301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 10 (b) -1\/9 (c) -2.6 (d) 730\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 + 1 - (19 + -24))\/(-2). Let q be ((-1)\/3)\/(1\/9). Sort s, q, -4 in decreasing order.\nAnswer: s, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1402\/(-100243))\/(7\/(-44) + (-9)\/(-36))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11 - (-126)\/(-14) - -394. Calculate the greatest common divisor of 1548 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 224.7 + -223.7. Which is the nearest to 26? (a) 2 (b) -1 (c) 5 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4\/7, -29, 2\/3, 1 in increasing order.\nAnswer: -29, 4\/7, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 at least as big as -560\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 3 + (-33 - -43) + 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -1262901\nAnswer: 505160.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1*1*1\/2*-2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14*((-6)\/(-4))\/3. Let d(r) = r + 4 + 1 + r. Let m(x) = -3*x - 9. Calculate v*d(k) + 4*m(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6907*58483\nAnswer: 403942081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50884*t**3 + 4*t**2 + 717757*t?\nAnswer: 305304*t + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 19837\/6 and 3306 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 8 = 4*d + 3*p, -2*d - 2*p - 4 = 0. Let k(o) = 16*o**d + 9 - 11*o**2 - 4*o**2 + 4*o. Calculate the lowest common multiple of 6 and k(-5).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*h = 107*h + 72. Calculate the remainder when 45 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b - 3. Let h(k) = -k - 2. Suppose 10 = -5*z - 25. Suppose 19 = 5*n + p, -4*n - p + 17 = -2*p. Let q(i) = n*s(i) + z*h(i). What is q(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 12 = -5*z. Let r(d) = -d**3 - 26*d**2 - 24*d + 29. Let n be r(-25). Let u(s) = 2*s**2 - 8*s - 1. Let o be u(n). Sort -16, z, o in decreasing order.\nAnswer: o, z, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 9*d**4 + 453*d**3\/2 - 897*d**2\/2 - 81*d = 0?\nAnswer: -27, -1\/6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 574, 1287, 2002, 2719, 3438?\n\"Answer: k**2 + 710*k - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6 = r, -2*r + 15 = b - 6*b. Suppose 4*z - 1436 = -r*z. Let g = -150 + z. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 929293209.\nAnswer: 3, 13, 2647559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17 and 54?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 6:30 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + 13\/(26\/24) + -2. Let y(z) be the second derivative of 1\/5*z**i + 0*z**4 + 0*z**3 - 5*z + 0 + 2*z**2. What is the first derivative of y(g) wrt g?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t**(-3\/8)*t*t)*t))**(-9)\/(t**(2\/17)\/t**(1\/9)))**(-6\/5) assuming t is positive.\nAnswer: t**(17909\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/((-15)\/(-14))*-3. Suppose 4*n = -2*v + 20, 15*n - 5 = d*n + 2*v. Suppose -2\/3*s**2 + 0 - 6*s**4 - 4*s**3 + 0*s - 8\/3*s**n = 0. What is s?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3\/3 + 7*p**2\/3 - 4*p\/3 - 4 = 0. Calculate p.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7352, 7, 352 in ascending order.\nAnswer: -4, 7, 352, 7352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 6)*(-y + 2 - 2 - 5*y + 2*y + 0*y + (-2*y + 2 - 2)*(2 - 3 + 0)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -43*y**2 + 1663*y - 1165. Give j(38).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -35. Let o = d - 25.983. Let f = o + -0.01634. What is f rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -2, 0.5, -4599\/16, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-152)\/32)\/19*((-8)\/(-4) - -2). Put 1, 0, j, 31 in decreasing order.\nAnswer: 31, 1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98.6776597 - -98.686. What is h rounded to 4 decimal places?\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - f - 197 = 0, -13*y + 17*y + f = 415. Calculate the highest common divisor of 3706 and y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 37*p**5 - 6*p**4 + 29*p. Let f(i) = -110*i**5 + 17*i**4 - 86*i. Let w(j) = -17*d(j) - 6*f(j). Find the second derivative of w(y) wrt y.\nAnswer: 620*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -8. Let f(k) = -k**3 - 4*k**2 + 2*k - 4. Let g(z) be the first derivative of z**4\/2 + z**3 - z**2 + 3*z - 109259. Give o*g(v) + 3*f(v).\nAnswer: 5*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10953 is divided by 215?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2*15\/(-40) - (-38)\/3 and 99\/120 - (0 + 2).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-133889.4.\nAnswer: -6694.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 6*j - 5. Let f be d(7). Suppose -4*p = 4*k - f*k - 256, 4*k - 491 = -p. What are the prime factors of k?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 6*p**3)*(-12 - 2 - 10 - 2 + 0 + 3 + 3 + 0 - 5 + (-1 - 1 + 4)*(-6 + 0 + 4)).\nAnswer: 174*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 1596 = 26*f. Solve -7*v = 3 - f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -7 + 11 - 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*o + o. Let s be ((-1 - o) + -3)\/(-1). Let j = s + 5. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 123 or 176?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**4\/12 - 3*p. Let g = 1161 - 616. Let s(x) = -170*x**2 - 178*x**2 + g*x**2 - 171*x**2. Give n(s(l)).\nAnswer: 676*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 18801118 divided by -63091\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i + 10. Let d(m) = 7. Let o(r) = 20. Let k(f) = 17*d(f) - 6*o(f). What is 10*k(y) + z(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, r: 2, c: 2, p: 1, h: 2, w: 1}. Give prob of sequence cwp.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/156 - (-1)\/(143\/15) - (-1940)\/220?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + sqrt(2541)*1 + sqrt(2541) + 1*sqrt(42)\/sqrt(2) + sqrt(21))\/(sqrt(49)\/sqrt(112) + sqrt(35)\/(sqrt(15)\/sqrt(3))).\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -110 + (75 - 17) - (1 - 27)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millennium in decades?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w**2 + 2*w - 7. Let k(x) = 9*x**2 + 4*x - 13. Suppose 110*i + 27*i + 959 = 0. Determine i*r(p) + 4*k(p).\nAnswer: p**2 + 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -3895.9 (b) 1 (c) -3\/7 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723358409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - h + 14. Let g be 0\/9*2\/4. Calculate n(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3279*f*g**2 + 10*f*g + 5*f + 5*g**2 - 74*g - 37 wrt f?\nAnswer: 3279*g**2 + 10*g + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 154*l**3 + 2*l**2 - 5*l + 4. Is b(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 + 0.9.\nAnswer: -80.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**5\/5 - 258*q**4\/5 + 786*q**3\/5 + 776*q**2\/5 - 1833*q\/5 - 1566\/5 = 0?\nAnswer: -261, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10285020 is divided by 155.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-22850.\nAnswer: -114250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-two thirds of a year in months?\nAnswer: 248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103545?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 4*s**2 - 12*s + 8. Determine b(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, u: 2, r: 1}. What is prob of picking 2 r, 1 o, and 1 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*p + 16, 0 = -4*p - 6*w + 2*w - 20. Let b(l) = l**2 - 2*l. Let j be b(3). Sort p, 9, j in descending order.\nAnswer: 9, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 o when three letters picked without replacement from {o: 10, u: 2}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*n - 216*n + 39 = -5*x, 5*x + 29 = -3*n. Solve -5*q + n*m - 6 = 6, -7 = 2*q - 3*m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11187.1 and -0.1?\nAnswer: 1118.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12960)\/(-1512) - (-2)\/2*-8.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 at most as big as -0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -111583*a*o**3 + 56100*o**3 + 2*o**2 wrt a?\nAnswer: -111583*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) 1\/9 (c) -14541\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z**2 + 2*z**2 - 4*z**2 + (2 - 2 - 2)*(-3 + 3 - z**2) - 2*z**2 + z**2 + 0*z**2 + 44794*z - 44794*z - 249*z**2 to f + c*z + u*z**2 and give u.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-20*a + 3*a + 0*a).\nAnswer: -34*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**5\/3 - 5*j**4\/12 + 35*j**3\/9 + 5*j**2\/6 - 10*j - 49. Find s such that x(s) = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -54496470 and -54496469 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6037 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/91188 and -29\/34866?\nAnswer: 1185444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0.3 (c) 1\/5 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17644 or -17639?\nAnswer: -17639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1553)\/(-3) + (-2)\/(-6). Let w be (-2)\/7 + 260\/b. Let s = w - 178\/481. Are 1 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 9 = 6*y, -390 = -3*b - 3*y. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(147) - ((sqrt(147) - 4*(sqrt(147) + -1) - sqrt(147))**2 - sqrt(147)))*-2 - (sqrt(147) + 1 + -1 + sqrt(147) + -1)).\nAnswer: -490*sqrt(3) + 4742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -505 divided by -505?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31*-35*(-104)\/(-7391020).\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24 (b) -0.1 (c) 1 (d) 6 (e) 2.2 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 129*o + 2. Let i(m) = -9*m**2 - 2*m - 4. Let x(t) = -186*t**2 - 42*t - 84. Let r(g) = 21*i(g) - x(g). Determine r(c(q)).\nAnswer: -49923*q**2 - 1548*q - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + m**2 - m + 20. What is the lowest common multiple of 10 and d(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 24 = 18*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooff when four letters picked without replacement from oofoffooffff?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47893 + 47943 + (2 - (-4 + (1 - 0) + 1)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3 - 3105001\/3. What is m rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 70*d**2 + 889*d - 158551.\nAnswer: 140*d + 889","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -106.7, 6\/5, -3\/2, -15.9?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t + 4. Let q be u(-1). Let l(j) = -j**3 + 9*j**2 - 12*j - 2. Does 3 divide l(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -8 - u + 0*u**2 - 12*u + 14 + u**2. Let n be s(10). Let h = n + 50. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*d + 74*d - 421*d**2 - 143*d + 850*d**2 - 431*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 157315.26 months?\nAnswer: 13.109605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 468*b + 24104. Give r(-59).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 292 - 204. Suppose -7*k + 11*k = d. Let y be 1 - k\/(-5) - (-69)\/115. Let q(m) = m**2 - 5*m - 7. Determine q(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -6*i + 0*i**3 + 9\/2*i**2 - 3\/4*i**4 + 34. Factor v(q).\nAnswer: -3*(q - 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 22*p - 7. Let v = -14 + 16. What is the remainder when 108 is divided by g(v)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 285, 362, 439, 522, 617?\nAnswer: 730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 42 = 4*i. Solve -5 = 2*r - i*r - p, -3*r = -3*p - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 395 + -454. Let i = -49 - -18. Let v = i - m. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -581, -2\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2525 times 0.08?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89074 + -38243. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -218 + 224. Which is bigger: j or 0.37?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*q - 8, -3*h = -2*h + 3*q - 9. Suppose 0 = -5*a - 5, 2*i - a + 2 = 11. Solve c = -h*c + i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 716 - 720. What is the second biggest value in 0.47, 1\/5, n, 6?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272867558.\nAnswer: 2, 137, 677, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -127345 + 736236. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 + 11 + -79 + 54?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56052 by -519.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -1\/18, 9?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 165*f**4 - 15*f**3 + 330*f**2 - 395*f.\nAnswer: 3960*f - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbcbbssbrbbcbs. What is prob of sequence bcgc?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1943930523?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 870.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5362*z**6 + 186*z**2 - z + 1 wrt z.\nAnswer: 643440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -5091.59.\nAnswer: -5089.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = w + 1. Suppose 5*r - 451 = -w*f - 44, 0 = -2*r + f + 170. What are the prime factors of r?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 5 (c) -24 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*a = -64*a - 3*g - 24, -a - 5*g = 16 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**5 + 25*h**4 - 15*h**3 - 85*h**2 + 140*h - 60 = 0 for h.\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}